signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6ddf684edf2e62eb9b719095ef1378fa | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 6}]} | {"states": [0, 56], "expectation_value": -4.8965509180118065, "params": [0.9643, 0.7140000000000001, 0.28240000000000004, 0.7123, -0.46890000000000004, 0.48710000000000003, 0.0022, 0.0027, 0.0024000000000000002, 0.0024000000000000002, 0.8693000000000001, -0.1879, -2.8454, -0.0013000000000000002, -1.8356000000000001, 1.... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(5) + -1.5 * Z(3) + -1.0 * Z(4) | 14 | 6 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["000010", "000111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(2.5125262706056377) q[0];
rz(pi/2) q[0];
ry(-0.0684384930951604) q[1];
ry(-0.6242145855847325) q[2];
ry(0.023386560122141898) q[3];
ry(-0.10544545841139641) q[4];
ry(-0.020724178357861903) q[5];
cx q[5], q[0];
ry(1.5844581120785501) q[0];
cx q[5], q[0];
ry(-1.5844581... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IIIIZZ",
"ZIZIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.981413 | [
2.5125262706056377,
-0.0684384930951604,
-0.6242145855847325,
0.023386560122141898,
-0.10544545841139641,
-0.020724178357861903,
-3.1689162241571003,
-3.498896468259441,
-2.2214113599118592,
0.2040630435724707,
1.6514361455783408,
-1.0547043507067209,
0.4456416672039778,
0.0976392604007565... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 44 |
6895805260362288845 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [3, 4], [0, 1, 5], [0, 8, 2], [5, 6, 7]]} | {"states": [495, 486], "expectation_value": -0.8087462764248612, "params": [0.8993, -0.0077, 0.9022, 0.0083, 0.9058, 0.0032, 0.8921, 0.0057, 0.9018, 0.0005, 0.9002, 0.0029000000000000002, 0.9039, 0.0017000000000000001, 0.9028, 0.005, 0.641, -0.0005, 0.4852, 0.0033, 0.8954000000000001, 0.0055000000000000005, 0.8939, 0.0... | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["010010011", "001101000", "000011001", "100010010", "100010100", "010010101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.9948746425947542) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(-0.3722638967582763) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(-0.3722638967582763) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.9948746425947542) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZII",
"IIIIZZIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0,
0.3333333333333333,
0.16666666666666666,
0.333333333333333... | 0.610877 | [
-0.9948746425947542,
-0.3722638967582763,
0.06142473292680199,
-0.8326215055865013,
0.7983016272019697
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -2.0000000000000004,
"target_ratio": 0.97,
"target_value": -1.9400000000000004
} | 142 |
c835fa1e3e69cb531a622e34cffeb2bc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [216, 218], "expectation_value": -48.25420584016924, "params": null, "bitstrings": ["100100111", "100100101"], "total_optimization_steps": 100, "probabilities": [0.051285973196568635, 0.25117832528127026], "optimization_time": 209.34325194358826} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012688580307125708) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.012688580307125708) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.012688580307125708) q[1];
cx q[0], q[1];
rz(1.5707728208002596) q[0];
rx(1.5719309045425545) q[0];
h q[3... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(23.9941) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
3.5,
19,
18.5,
4.5,
18.5,
3,
23.5,
11
] | 0.951132 | [
0.012688580307125708,
-1.5707841880784301,
1.5707728208002592,
-1.5707826865525911,
-1.5708294960872318,
1.5707747758463055,
-1.5707792663486049,
1.5707593339003678,
1.5719309045425545
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 231 |
91fd701868951eab612ba86420778b2e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [138, 170], "expectation_value": -1.5004554568669175, "params": [1.0009000000000001, 0.1318, 0.6007, 0.2582, 0.8041, 0.2335, -0.0015, 0.027, 1.0077, -0.0028, 0.0023, -0.7123, 0.999, -0.1188, 0.5955, -0.2033, 0.9997, 0.0037, 0.6013000000000001, 0.001, 0.7997000000000001, 0.001, 0.0059, 0.0047, 1.0109000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(5... | 18 | 8 | 2 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125, -2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.8125, "smallest_bitstrings": ["01010110", "00110101", "01010101", "10010101", "00111100", "01110100"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIZIZIII",
"IZIZIIII",
"IIZZIIII",
"IZZIIIII",
"IIIZZIIZ",
"IZIIZIIZ",
"IIZIZIIZ",
"IZIZIIIZ",
"IIZZIIIZ",
"IZZIIIIZ",
"IZIZZIII",
"IIZZZIII",
"IZZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25... | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
12625ff7963f220cedd44f15c6035b49 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1762, 1506], "expectation_value": -11.00737660227354, "params": [[-0.08800000000000001, -0.0038], [0.17120000000000002, 0.14]], "bitstrings": ["1100100011101", "1101000011101"], "total_optimization_steps": 20, "probabilities": [0.0007503441650649322, 0.0007503441650649327], "optimization_time": 19.545655250... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 2 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
da6f888553e0928bf84cb7c24eceee80 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.13019894686196332, "params": [[-0.0362], [0.0475]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004259036070894482, 0.004287083104400093], "optimization_time": 1.9326581954956055} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5177659963294788) q[0];
h q[1];
ry(-1.623404303532015) q[1];
h q[2];
ry(0.8202589649851039) q[2];
h q[3];
ry(0.7033685518814555) q[3];
h q[4];
ry(1.4889805032669121) q[4];
cx q[4], q[2];
ry(-0.8202589649851039) q[2];
cx q[4], q[2];
h q[5];
ry(0.84460063831... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.5,
-0.75,
0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
1,
-0.25,
-1.75,
1,
1.5,
-1.25,
-0.5,
0.25
] | 0.981536 | [
-1.623404303532015,
1.4889805032669121,
1.6405179299702077,
1.6168070806158488,
1.6892012766269737,
-1.0355319926589577,
1.0456182257691826,
1.406737103762911,
-0.7251973209355899,
0.22124766737700627,
-0.30348133941167,
0.18132166678998246,
-0.02893660445447417,
-0.06715041824588869,
0.... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
3991188741565982595 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3, 6, 7], [0, 4], [1, 6], [2, 6], [2, 5]]} | {"states": [243, 483], "expectation_value": -1.4014717530380625, "params": [[1.069], [-0.398]], "bitstrings": ["100001100", "000011100"], "total_optimization_steps": 120, "probabilities": [0.0195022556527972, 0.0195022556527972], "optimization_time": 3.759803295135498} | 0.08333333333333333 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["111000001", "111100000", "111000010", "011010010", "000011100", "011010001", "011110000", "100001100"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.05758762645467799) q[0];
h q[1];
ry(-0.8191136163095406) q[1];
h q[2];
ry(-0.05758762645467799) q[2];
h q[3];
ry(-0.3111912690608954) q[3];
h q[4];
cx q[4], q[0];
ry(0.05758762645467799) q[0];
cx q[4], q[0];
ry(-0.5958913958302756) q[0];
ry(1.0292016830045... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(x0) q[8];
cx q[3], q[8];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIII",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIZII",
"IIIZIIZII",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0
] | 0.971804 | [
-0.11517525290935599,
1.603118406172491,
-1.6382272326190812,
-0.5780342532611134,
1.2894922191721139,
0.003409437595524846,
-1.0248534292555411,
0.7907136144693151,
-0.44949641179670674,
0.47697613707040526,
-0.2927899680671375,
0.8637946623334978,
0.310450865309328,
-0.05561636306214143,... | {
"n_parameters": 68,
"n_qubits": 9,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 38 |
41e371d8cc4122e6ac05fda4a9a733df | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 1, "so... | {"states": [15, 1], "expectation_value": -0.1756886146402728, "params": [[-0.0505], [0.065]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.0347282320327215, 0.03538524894354048], "optimization_time": 1.2271144390106201} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + 0.75 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.21164019377002524) q[0];
rz(0.29993552628560155) q[0];
rx(0.022404456669019523) q[1];
rz(0.24112094905567866) q[1];
rx(-0.12021742964398797) q[2];
rz(0.022404456669019523) q[2];
rx(0.020942544473592298) q[3];
rz(0.08815478690614406) q[3];
rx(2.9671795821067803) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.75,
0,
0.5
] | 0.984363 | [
-0.21164019377002524,
0.29993552628560155,
0.022404456669019523,
0.24112094905567866,
-0.12021742964398797,
0.020942544473592298,
0.08815478690614406,
2.9671795821067803,
-0.6183644341907681
] | {
"n_parameters": 9,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -8.437165243862912, "params": [0.1338, 0.24810000000000001, 0.1391, 0.2644, 0.17500000000000002, 0.265, 0.1718, 0.266, 0.5709000000000001, 0.1308, 0.5135000000000001, 0.1701, 0.5446, 0.14400000000000002, 0.1375, 0.24810000000000001, 0.13240000000000002, 0.2617, 0.1721, 0.2682, 0.... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
-2365515667393668132 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 7], [1, 2, 3, 5, 8], [1, 6], [8, 3, 4, 6], [0, 8, 2, 4], [2, 3, 6, 7, 8], [0, 1, 5, 8], [0, 3, 4], [0, 8, 7], [8, 4, 6, 7]]} | {"states": [251, 243], "expectation_value": -2.6151021993920747, "params": [0.46790000000000004, -0.9067000000000001, 0.43460000000000004, 0.0067, 1.6774, -0.053500000000000006, 1.3657000000000001, 0.007200000000000001, 1.8836000000000002, 0.0685, 1.0825, 0.0097, 1.8792, 0.052700000000000004, 1.2343, 0.0019, 1.87600000... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(7)) + 0... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.650000000000001, "smallest_bitstrings": ["100001100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.612527094531774e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(2.7758327140540227e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.612527094531774e-08) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IZIIIZIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"... | [
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.13333333333333333,
0.05,
0.16666666666666666,
0.1,
0.05,
0.13333333333333333,
0.08333333333333333,
0.05,
0.05,
0.13333333333333333,
0.3333333333333333,
0.18333333333333335,
0.3,
0.18333333... | 0.757338 | [
3.612527094531774e-8,
2.7758327140540227e-8,
7.694302269816046e-8,
7.808221481308002e-8,
2.6484558323113595e-8,
-2.130913579176293e-7,
9.291344763009835e-8,
6.804206572150115e-9,
5.826156595048769e-8,
1.5707964683483728,
1.0216897783591098e-7,
-2.8707775552196994e-9,
1.5707960911765835,
1.... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -2.7333333333333334,
"target_ratio": 0.97,
"target_value": -2.651333333333333
} | 500 |
d41e3eacf3834dd0b9753433ef423092 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [510, 508], "expectation_value": -2.9133202941285408, "params": [[0.07590000000000001], [-0.0816]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.004190059928466149, 0.004198813722580155], "optimization_time": 2.1046266555786133} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(1)) + 1.5 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(6)) + -2.5 * (Z(5) @ Z(1)) + 1.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.793796357013214) q[0];
h q[1];
ry(0.8029358546676116) q[1];
h q[2];
ry(0.793796357013214) q[2];
h q[3];
ry(0.7139786636024608) q[3];
h q[4];
ry(0.7166592249214208) q[4];
h q[5];
h q[6];
ry(0.793796357013214) q[6];
cx q[5], q[6];
ry(-0.793796357013214) q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIZIIIIZI",
"IIIIIZIIZ",
"IIZIIZIII",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIIZ",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"... | [
-1.5,
0.5,
-3,
0.5,
-3,
0.5,
-3,
-2.5,
1.5,
-2.5,
-2.5,
0.5,
-3,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.931101 | [
1.587592714026428,
1.6058717093352233,
1.4279573272049215,
1.4333184498428415,
0.7901196319267348,
-2.1071227919196307,
1.3216353747902008,
1.3697170830326755,
-0.42215394475013807,
-0.14736119960873412,
-0.9487736068054605,
-0.39048808465013907,
0.48382920502432164,
-0.017257197969548905,... | {
"n_parameters": 67,
"n_qubits": 9,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 500 |
1c2304a67a30db02b0aacaef8f54cc49 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [121, 118], "expectation_value": -12.472313855928022, "params": [[-0.0436], [0.07540000000000001]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007581036293091721, 0.008273215444414074], "optimization_time": 2.8263559341430664} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.24986965852497725) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.24986965852497725) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.24986965852497725) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.24986965852497725) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
7.5,
18,
22,
9,
15.5,
12,
12.5
] | 0.975247 | [
-0.24986965852497725,
1.3798768189646131,
0.5821516926402323,
1.507434803907877,
0.15831176221933974,
1.6841090119447395,
1.868921696942766,
-0.8358733501937907,
-0.1051427607175125,
0.20699330037022715,
0.7086183832847479,
-1.714949108239384,
-0.20111868516637169,
-0.47681140686524326,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 81 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [363, 355], "expectation_value": -9.406370362431545, "params": [-0.0012000000000000001, -0.4142, 0.0022, -0.4312, 0.0011, -0.435, 0.0014, -0.45120000000000005, 0.0018000000000000002, -0.36250000000000004, -0.0039000000000000003, -0.45, 0.5557, 0.08320000000000001, 0.5536, 0.0714, -0.0025, -0.4045, 0.003, -0.... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 5 | 12 | 3 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
cdc1c85d9788b04850582a1ad6d1cbab | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [508, 511], "expectation_value": -22.65609201639934, "params": null, "bitstrings": ["111000000011", "111000000000"], "total_optimization_steps": 100, "probabilities": [0.11701697468912907, 0.41549324707589086], "optimization_time": 206.12057065963745} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + -1.5 * Z(1) + -1.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(-pi) q[0];
ry(-0.09094785828738784) q[0];
h q[1];
ry(-1.5649407372084594) q[1];
h q[2];
ry(-1.5649407372084594) q[2];
h q[3];
ry(1.180897479259819) q[3];
h q[4];
ry(0.965713791843748) q[4];
h q[5];
h q[6];
ry(0.7792157248230072) q[6];
cx q[5], q[6];
ry(-0.7792157248... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-2,
1,
-2,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.934318 | [
-1.5649407372084594,
-1.520403555934438,
1.5584314496460143,
1.931427583687496,
2.361794958519638,
0.5566245063921221,
0.21452596818462327,
-0.31253697906217626,
0.8182209571979099,
0.0036248295407516756,
0.002129643067690236,
-0.03734896135692428,
-0.019704797444814473,
0.0195290929894914... | {
"n_parameters": 62,
"n_qubits": 12,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 500 |
4cda5dee957682c08dbd329bc943c5ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [24474, 24442], "expectation_value": -3.5790028181622864, "params": [[[-0.28600000000000003, -0.1019, 0.0035, 0.0054], [0.4204, -0.0826, 0.5478000000000001, -0.0397], [-0.1947, 0.1232, -0.2331, 0.07390000000000001], [0.0088, -0.0852, 0.1663, 0.08460000000000001], [0.016, 0.2651, -0.0194, 0.37220000000000003]... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 11 | 15 | 4 | {"smallest_eigenvalues": [-4.312499999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.312499999999994, "smallest_bitstrings": ["010000010000101"], "largest_eigenvalue": 6.687500000000023} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02594948614362916) q[0];
ry(0.159556898477795) q[1];
ry(3.220243018720069) q[2];
ry(-0.26118800429812855) q[3];
ry(-0.11708632410814492) q[4];
ry(2.6961583172483548) q[5];
ry(-0.003793597072665269) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIZIIZ",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZI",
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIIIIZZZ",
"IIIIIIIIIIIZIZZ",
"IIIIIIIIIIZIIZZ",
"IIIIIIIIIIIZZIZ",
"IIIIIIIIIIZIZIZ",
"... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.062... | 0.971524 | [
-0.02594948614362916,
0.159556898477795,
3.220243018720069,
-0.26118800429812855,
-0.11708632410814492,
2.6961583172483548,
-0.003793597072665269,
0.016356167604613624,
-0.03425868078488903,
-0.02361447462930349,
-0.019473692669395654,
0.5536734217067089,
0.22703499698521307
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 41 |
53be069d2c41eb1c24586f7ca7d02b3a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2090, 2091], "expectation_value": -126.84278993476639, "params": [[0.7967000000000001, 0.0526, 0.0039000000000000003, 0.005, 0.0036000000000000003, -0.1078, 0.648, 0.016800000000000002, 0.6544, 0.002, 0.7971, 0.1095], [0.7932, 0.022600000000000002, 0.003, 0.004200000000000001, 0.0021000000000000003, -0.0487... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(11) @ Z(1)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(9) @ Z(11)) + 8.0 * (Z(10) @ Z(11)) + 8.0 * (Z(10) @ Z(9)) + 18.0 * Z(0) + 3.0 * Z(1) + 0.5 * Z(5) + 22.5 * Z(6)... | 10 | 12 | 4 | {"smallest_eigenvalues": [-147.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -136.5, "smallest_bitstrings": ["011111010100"], "largest_eigenvalue": 234.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8441154534531916) q[0];
ry(-0.25227880689570437) q[1];
ry(-0.10801089498140612) q[2];
ry(0.02753355292934863) q[3];
ry(-0.053158670389972004) q[4];
ry(0.04875201075859542) q[5];
ry(0.530340434122536) q[6];
ry(-0.09669443992061141) q[7];
ry(0.49056980549897305) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"ZIIIIIIIIIZI",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IIIIZIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
18,
3,
0.5,
22.5,
4,
14,
17,
12,
9.5,
-12,
-12.5,
-13.5
] | 0.971432 | [
0.8441154534531916,
-0.25227880689570437,
-0.10801089498140612,
0.02753355292934863,
-0.053158670389972004,
0.04875201075859542,
0.530340434122536,
-0.09669443992061141,
0.49056980549897305,
-0.0538068762348937,
0.6610479711187204,
0.012777829723393579,
0.9958513888699303,
0.21676847836288... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -147.5,
"target_ratio": 0.97,
"target_value": -143.075
} | 9 |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [494, 239], "expectation_value": -11.994338493064788, "params": [[[-1.5771000000000002, 1.6627], [-0.0029000000000000002, 1.4729], [-0.0024000000000000002, 0.0017000000000000001], [-0.0028, 0.003], [-1.6324, -0.0021000000000000003], [0.0033, -0.002], [0.0018000000000000002, 0.0018000000000000002], [2.5236, 0... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"], "largest_eigenvalue": 55.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.08561040186494705) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08561040186494705) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.13032020170893938) q[0];
cx q[2], q[0];
rz(-0.13032020170893938) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
-1,
-1,
1,
-3,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
1.5,
3,
5,
2.5,
2.5,
0,
1.5,
1.5,
-0.5,
-1,
-1.5
] | 0.69852 | [
-0.08561040186494705,
-0.13032020170893938,
-0.09293795236063519,
-0.1836712523285487,
0.1609684499092548,
-0.012457635001121998,
-0.0033797729801731662,
0.12930263904239359,
-0.05240497445492781,
-1.5648064933444994,
-1.5025379725146595,
-1.0821352790424412,
1.4484250023356933,
0.98938625... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 296 |
ec174129426dc2a5488500e208d8ad31 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -11.85045523135328, "params": [-0.001, 0.0692, 0.0026000000000000003, 0.5882000000000001, 0.0026000000000000003, 0.5679000000000001, 0.0029000000000000002, 0.5921000000000001, -0.0028, 0.6122000000000001, 0.0025, -0.5905, 0.0028, 0.6064, 0.0028, 0.5401, 0.8006000000000001, 0.002,... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -1.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + 2.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(... | 3 | 9 | 2 | {"smallest_eigenvalues": [-14.75, -14.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.75, "smallest_bitstrings": ["111011110", "111111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0865029172582652) q[0];
rz(-0.2141443016705451) q[0];
rx(-0.07233080458485758) q[1];
rz(0.256349069533087) q[1];
rx(-0.07233080458485758) q[2];
rz(0.6177150680525187) q[2];
rx(-0.2500842146096483) q[3];
rz(0.3065627270703608) q[3];
rx(-0.040957261983769075) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-1,
-1.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.75,
-1.5,
-0.25,
-1.25,
2.75,
-0.25,
-1,
0,
-0.25,
1.75,
-0.25,
-1,
-1.25,
-0.75,
0.25,
1.5
] | 0.977936 | [
0.08650291725826519,
0.03157358332552257,
-0.07233080458485759,
0.5629637848307943,
0.822338516599668,
-0.25008421460964836,
0.5945378558733566,
-0.040957261983769075,
0.7376307571480558,
-0.001417798277790136,
-0.8003556554162172,
0.14709029221359746,
0.8383848768762762,
0.478523199964054... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 8 |
898dfeadb29a350ef46325a8cc0047dc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"weight": 19, "source... | {"states": [179, 174], "expectation_value": -11.959167809023704, "params": [[-0.0409], [0.0722]], "bitstrings": ["101001100", "101010001"], "total_optimization_steps": 10, "probabilities": [0.0041334713075392845, 0.005069917430526915], "optimization_time": 4.257512331008911} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 12.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.054594968115646854) q[0];
cx q[1], q[0];
rz(1.2097821698425557) q[0];
rx(1.6423550560098614) q[0];
h q[2];
cx q[1], q[2];
rz(-0.054594968115646854) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.054594968115646854) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
12.5,
-3.5,
1.5,
19.5,
19,
10.5,
14.5,
19.5,
6.5
] | 0.977808 | [
-0.054594968115646854,
-1.476344271082728,
1.209782169842556,
1.8445497815000025,
-1.6214770204758229,
-1.646121300828856,
1.3826516187349407,
-1.6746349609836428,
1.671488756079746,
1.6423550560098612
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -100,
"target_ratio": 0.97,
"target_value": -97
} | 40 |
78352b36d64b35d780c91f540c949806 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [895, 832], "expectation_value": -13.253815629654703, "params": [[0.0756], [-0.3624]], "bitstrings": ["0010000000", "0010111111"], "total_optimization_steps": 40, "probabilities": [0.012000661160315737, 0.0120644229358985], "optimization_time": 3.2293951511383057} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 2.0 * (Z(5) @ Z(8)) + 1.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(8)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -4.0 * (Z(7) @ Z(8)) + -4.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(2)) + 1.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2240137421970927) q[0];
rz(1.6978312778676177) q[0];
rx(-0.7029684358138636) q[1];
rz(1.8896931502934784) q[1];
rx(-0.021953574557899168) q[2];
rz(2.208912872393766) q[2];
rx(-0.6471313678112776) q[3];
rz(1.7523165131699692) q[3];
rx(0.11172181698153187) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIIZIIZII",
"IZIIIZIIII",
"IIIIZZIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII"... | [
-1.5,
-1.5,
0.5,
2,
1,
1,
-3,
-3.5,
-3.5,
-3.5,
-2.5,
-4,
-4,
-3,
1,
1.5,
1,
-3,
0.5,
1,
-3,
-3,
0.5,
0.5,
0.5,
-3,
-3.5,
-2,
1.5,
1.5,
2,
1
] | 0.972915 | [
0.2240137421970927,
0.12703495107272078,
-0.7029684358138636,
0.3188968234985825,
-0.021953574557899168,
0.6381165455988689,
-0.6471313678112774,
0.1815201863750716,
0.11172181698153186,
0.11911199217287555,
-0.11503409358304481,
1.26817810921335,
-0.2486438318796687,
0.31485645237008525,
... | {
"n_parameters": 136,
"n_qubits": 10,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 134 |
004fec6dde465c635092e241587799d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -22.511772857940652, "params": [-0.3271, -0.0012000000000000001, 0.3441, 0.0073, -0.17020000000000002, 0.0364, 0.1463, 0.0018000000000000002, 0.0001, 0.5078, 0.004, 0.006900000000000001, 0.8081, 0.0018000000000000002, 0.8097000000000001, 0.0034000000000000002, 0.3592, -0.000300... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(8)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(7)) + -0.25 * (Z... | 6 | 12 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.036603444507143236) q[0];
rz(pi/2) q[0];
ry(-0.1770629942720438) q[1];
ry(0.10848540845482582) q[2];
ry(0.41998100884814926) q[3];
ry(-0.036603444507143236) q[4];
ry(-0.13297238769801667) q[5];
ry(-0.12933091288117352) q[6];
ry(0.11406664992615917) q[7];
ry(-0.09... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIZII... | [
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-0.75,
-0.25,
-0.75,
-0.25,
-1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.... | 0.971584 | [
-0.036603444507143236,
-0.1770629942720438,
0.10848540845482582,
0.41998100884814926,
-0.13297238769801667,
-0.12933091288117352,
0.11406664992615917,
-0.09527787620251557,
0.03587711974143865,
0.12324902507602095,
0.01746353473568535,
0.2999484069967422,
-0.017250151119821644,
-0.12251026... | {
"n_parameters": 146,
"n_qubits": 12,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 6 |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6607, 6615], "expectation_value": -33.15194171143624, "params": [[-0.022500000000000003, 0.031, -0.08900000000000001, 0.1945], [0.4348, -0.0369, 0.1743, -0.12840000000000001]], "bitstrings": ["0011000110000", "0011000101000"], "total_optimization_steps": 60, "probabilities": [0.002538935111496156, 0.0025389... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 1 | 13 | 4 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000101000", "0011000110000"], "largest_eigenvalue": 156.66666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.03919900404802914) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.26038955357752364) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.12295043049294087) q[5];
cx q[0], q[5];
h q[6];
cx q[4], q[6];
rz(0.0080972549082... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIIIZIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIZIIIIIZIIII",
"IIZIIIIZIIIII",
"IIZIIIZIIIIII",
"IIZIIIIIIIZ... | [
0.5,
2,
1,
3,
1.5,
6,
1,
0.8333333333333334,
2,
3,
-0.5,
-1,
-1.5,
-0.5,
-1,
-1.5,
0.5,
-1,
-2,
-3,
1,
2,
-1,
-2,
-3,
1,
2,
4,
-1,
-2,
-3,
0.8333333333333334,
1,
2,
2,
0.5,
1,
1.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
3,
-1,
-1,
... | 0.905976 | [
0.03919900404802914,
0.26038955357752364,
0.12295043049294087,
0.008097254908228992,
0.027479073566993174,
0.09066750514128945,
0.05034812036080168,
0.05893931162781403,
0.000643074169123192,
-0.0879529644722815,
-0.03821017457563514,
-0.1332070244658603,
0.19942511798644225,
1.05719982605... | {
"n_parameters": 60,
"n_qubits": 13,
"optimal_eigenvalue": -45.33333333333333,
"target_ratio": 0.97,
"target_value": -43.97333333333333
} | 500 |
88723156d0db328a8709323d242426e4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3, 67], "expectation_value": -4.336619309741792, "params": [-0.0166, 0.3549, 0.602, 0.224, 0.3252, 0.4025, -0.005200000000000001, 0.3315, -0.0198, 0.3714, 0.041, 0.3678, 0.6017, 0.009600000000000001, 0.6091, -0.0035, -0.020900000000000002, 0.3608, 0.5977, 0.24550000000000002, 0.11410000000000001, 0.406, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 3 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["11011100", "10110101", "11111000", "10111100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.10093367908908243) q[0];
rz(0.4784314428147711) q[0];
rx(1.033771784640451) q[1];
rz(0.4145556029082993) q[1];
rx(0.024948359375980843) q[2];
rz(0.00564831692501544) q[2];
rx(-0.0706731298878229) q[3];
rz(0.33467301834765806) q[3];
rx(-0.06539754720422047) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIIZIII",
"IIIZZIII",
"ZIIZIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-1.5,
-1,
-0.5
] | 0.97333 | [
0.10093367908908243,
0.2876328717025224,
1.033771784640451,
0.2402418865707123,
0.024948359375980847,
0.19797754252798688,
-0.0706731298878229,
0.3369852388003276,
-0.0653975472042205,
0.263433502550869,
0.18809060099875746,
0.45446337083807664,
1.037400734602908,
0.06612862496471017,
1.... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
d972279ded7f316374e6dacb276633a3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [127, 63], "expectation_value": -8.246022690664965, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 92, "probabilities": [0.20212563034862113, 0.47108249525079704], "optimization_time": 166.8203055858612} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["10000000", "11000000", "11101110"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13442413146705395) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.07286226668025671) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1861896832309193) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(-0.07286226668025671) q[2];
cx q[3], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-1.75,
2,
-1.25,
-1,
-0.5,
-0.25,
1,
0.25,
0.25,
0.75,
-1.25,
-0.25
] | 0.670838 | [
0.13442413146705395,
-0.07286226668025671,
-0.1861896832309193,
0.1849566279514951,
2.809786825153633,
-1.1485726075418965,
0.38576139094804596,
-1.4038660711190325,
-1.540477952854178,
1.5029054381745803,
1.162846184501586
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 322 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [171, 427], "expectation_value": -4.918969252088818, "params": [[[0.6577000000000001, -0.12300000000000001, 0.0038, 0.0079], [0.8582000000000001, -0.27040000000000003, 0.17370000000000002, 0.0007], [-0.079, -0.0984, 0.0083, -0.091], [0.5879, 0.1022, 0.6982, 0.0046], [0.0026000000000000003, -0.327, 0.0064, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 12 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
87224c590a6c623e4385c63f6a5a56ea | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 27], "expectation_value": -2.641770398213333, "params": [-0.7463000000000001, 0.2778, 0.49260000000000004, 0.31470000000000004, -0.741, 0.3528, 0.314, 1.0304, 0.6121, -0.0199, -0.14, 0.6496000000000001, 0.7777000000000001, 0.6832, -0.0763, 1.1323, 0.781, 1.0434, -0.29450000000000004, 1.1834, 0.3997, 0.83... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(2) | 6 | 5 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.822243038742368) q[0];
rz(3.125872941516012) q[0];
rx(0.17974168344967256) q[1];
rz(1.949880926627925) q[1];
rx(-0.41477122068286326) q[2];
rz(2.8554970925143763) q[2];
rx(-0.8755271994602615) q[3];
rz(1.8212531758931725) q[3];
rx(-0.7064676113500707) q[4];
rz(0.71... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IZIII",
"IIZII"
] | [
-1,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970003 | [
0.822243038742368,
1.5550766147211155,
0.1797416834496726,
0.37908459983302883,
-0.4147712206828633,
1.2847007657194796,
-0.8755271994602616,
0.25045684909827637,
-0.7064676113500707,
0.7160535821608828,
0.5186655708969602,
-0.1118533432386061,
-0.35466960996538094,
-0.6054146290312105,
... | {
"n_parameters": 100,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 153 |
406f205c8f68e15d44cfdbce281f4c7d | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [5, 7], "expectation_value": -0.8514340308521355, "params": [[[0.2924, -0.10210000000000001], [0.2942, 0.09730000000000001], [0.376, -0.030100000000000002], [0.46080000000000004, -0.0011], [0.4052, -0.0077], [0.4627, -0.0036000000000000003]], [[0.2974, -0.10210000000000001], [0.2992, 0.09730000000000001], [0... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
-8355065339922442658 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 6], [9, 5], [8, 3], [9, 11], [9, 7], [11, 4], [0, 5], [8, 10], [0, 11], [10, 11], [0, 4], [9, 3], [2, 6], [8, 2], [8, 9], [11, 6], [3, 7], [2, 3], [10, 4], [0, 10], [0, 6], [8, 7], [2, 7], [11, 7], [8, 6], [0, 1], [2, 5], [6, 7], [5, 6], [0, 9], [9, 4... | {"states": [1705, 2390], "expectation_value": -4.5785539813687635, "params": [[[1.4926000000000001, 0.002], [-1.0981, 1.4995], [-0.31770000000000004, 1.4286], [1.5019, 1.4902], [1.4942, 1.4863000000000002], [1.5059, 1.5008000000000001], [1.5030000000000001, 1.488], [1.5014, 1.4957], [1.4918, 1.4972], [1.5033, 1.4935], ... | 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(3) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(10)) + 0.... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 34, "first_excited_energy": -5.0, "smallest_bitstrings"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5321810629301202) q[0];
ry(-1.5816994698329145) q[1];
ry(-1.642466900369503) q[2];
ry(1.5633791208278351) q[3];
ry(1.6461387473772) q[4];
ry(1.6107585265389104) q[5];
ry(1.925635972082886) q[6];
ry(1.585638645012221) q[7];
ry(1.6482439815457177) q[8];
ry(1.6014348... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZIIIII",
"ZIIIIIZIIIII",
"IIIZZIIIIIII",
"ZIIIZIIIIIII",
"IZIZIIIIIIII",
"IZIIIIZIIIII",
"ZZIIIIIIIIII",
"IIIZIIIIZIII",
"ZIIIIIIIZIII",
"IZIIIIIIZIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"ZIZIIIIIIIII",
"IZZIIIIIIIII",
"IIZIIIIIZIII",
"ZIIIIZIIIIII",
"IIIIIZIIZIII",
"IIIZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973366 | [
1.5321810629301202,
-1.5816994698329145,
-1.642466900369503,
1.5633791208278351,
1.6461387473772,
1.6107585265389104,
1.925635972082886,
1.585638645012221,
1.6482439815457177,
1.6014348268958147,
1.493938714308571,
1.502857979919899,
0.24415669457400263,
1.6131796063751866,
1.60825507463... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 34 |
253d3995de007ce15800f0023018551d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [15, 1], "expectation_value": -2.5927153078072553, "params": [[-0.049300000000000004, -0.0371, -0.0589, -0.062200000000000005], [0.0673, 0.047900000000000005, 0.0596, 0.060700000000000004]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.022875062519830937, 0.026576... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
ffaba4815bf0e67a2be83da1ce70c0be | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {... | {"states": [238, 110], "expectation_value": -13.575146151843198, "params": [[-0.0281], [0.0767]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.006945080863537039, 0.007882976330895686], "optimization_time": 2.0151994228363037} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 177.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0349012653459121) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0349012653459121) q[2];
cx q[0], q[2];
rz(1.372511651455401) q[0];
rx(1.1550885163993503) q[0];
h q[3];
cx q[2], q[3];
rz(0.0349012653459121) q[3];
cx q[2], q[3];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
5,
15,
8.5,
15.5,
17.5,
25.5,
8.5
] | 0.971849 | [
0.0349012653459121,
-1.375125390584539,
1.3725116514554008,
-1.4287899300033384,
1.2895946225666228,
-1.205398916477897,
-1.7835398268220337,
1.1550885163993505,
0.19838963590148706,
-0.1330776885834662,
1.1425666744981,
-0.6695777425615023,
0.9768533727563294,
-0.8054055175533561,
0.233... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 32 |
5e947fef777b39a41d5b6757b994a3ed | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 9}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [546, 554], "expectation_value": -5.04002660065288, "params": [[[1.6048, 0.007], [-0.0167, 0.0059], [-0.0106, 0.0014], [1.3842, 0.009300000000000001], [1.6079, 0.0005], [0.0025, 0.0067], [1.601, 0.006], [0.2924, 0.009300000000000001], [1.6106, 0.0098], [-0.005, 0.0073]]], "bitstrings": ["0111011101", "011101... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110101101", "0110011101", "0100011111", "1100011110", "0111010101", "0111010011", "1111010010"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.57728018709166) q[0];
rz(0.45766647028260665) q[0];
rx(0.13449921301178389) q[1];
rz(1.0374895136224096) q[1];
rx(0.025704163960269394) q[2];
rz(-0.1772327266432368) q[2];
rx(2.679601568928724) q[3];
rz(0.22017246690405015) q[3];
rx(3.013501528810774) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIIIZIIZII",
"IIIZZIIIII",
"IIIZIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-2,
-1.5,
-1,
-1,
-1,
-0.5
] | 0.975378 | [
3.57728018709166,
0.45766647028260665,
0.13449921301178389,
1.0374895136224096,
0.025704163960269394,
-0.1772327266432368,
2.679601568928724,
0.22017246690405015,
3.013501528810774,
-0.1628180770446911,
-0.23793690087541583,
0.3841362567039225,
-0.11721529268180161,
-0.8072195065046636,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
e2d42d54466cad0e47a576fec07e2be9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -5.740042342035802, "params": [[0.0407], [-0.039400000000000004]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.005483943120686964, 0.0056694939117863654], "optimization_time": 1.7941720485687256} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.0 * Z(1) + 4.0 * Z(0) + 7.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.9780527284148871) q[0];
rz(-0.32148690663209895) q[0];
ry(-0.7892727298300091) q[1];
rz(0.1975676236284789) q[1];
cx q[1], q[0];
ry(0.8962891467746957) q[0];
rz(0.052798159012349036) q[0];
ry(0.5058660408624864) q[1];
rz(-0.3978263625905253) q[1];
ry(-0.31629941256... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17,
4,
7.5,
22,
4.5,
11,
11.5,
15
] | 0.970089 | [
0.9780527284148871,
-0.32148690663209895,
-0.7892727298300091,
0.1975676236284789,
-0.3162994125644556,
-0.3927838541721411,
0.07591008131711265,
0.010362765644280701,
-0.004177353980553352,
-0.014282973755614476,
-0.006464029793591477,
-0.7218823444991684,
-0.3051057789958777,
-0.12106482... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 69 |
a5a32c53707adac7f9e2e89e005d6cef | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [127, 511], "expectation_value": -9.852303273537055, "params": null, "bitstrings": ["110000000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.15568253431498635, 0.4669207417988851], "optimization_time": 146.39471578598022} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000", "001100000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.484383910114169) q[0];
rz(-1.51884410263151) q[0];
rx(-1.897970709746683) q[1];
rz(-1.4688179192980773) q[1];
rx(-0.07082805868703322) q[2];
rz(1.1163996830687442) q[2];
rx(-0.05471733875695272) q[3];
rz(-1.6510842305915876) q[3];
rx(2.357940307221001) q[4];
rz(-1... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[5], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
-1,
-1.5,
-2,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971961 | [
-2.484383910114169,
3.1935448777531796,
-1.897970709746683,
3.243571061086613,
-0.07082805868703322,
-0.4543966437261523,
-0.05471733875695273,
3.0613047497931025,
2.357940307221001,
3.2001535138793584,
-3.2369755667008655,
2.4231363548542784,
0.7342108761666231,
3.1641802158799206,
0.42... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 257 |
2e1dacbc6cad5ed3879997ca6d5d8c7d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [41, 69], "expectation_value": -0.8652948431899155, "params": [[0.0463, 0.0317, 0.0514, 0.0455], [-0.04, -0.024, -0.0369, -0.037700000000000004]], "bitstrings": ["1010110", "0111010"], "total_optimization_steps": 10, "probabilities": [0.011253239566837934, 0.011668776461573542], "optimization_time": 7.445657... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -2.0 * Z(5) + -1.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "0011110", "0111010", "1010110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.06245075130761329) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.06245075130761329) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[4];
rz(0.06245075130761329) q[4];
cx q[3], q[4];
cx q[3], q[2];
rz(0.0624507... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIIZZII",
"IZIIZII",
"IIZIZII",
"ZZIIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-2,
-1.5,
0,
-1.5,
-0.5
] | 0.973762 | [
0.06245075130761329,
-1.3586935150241741,
1.7960159222304546,
-1.6333200670878212,
1.2564441947049858,
-1.4840298616703587
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 31 |
ff4d8612be902cee01cbb69055101657 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [8, 41], "expectation_value": -2.1772573920063945, "params": [[[1.5871000000000002, -0.0014], [0.0001, -0.007500000000000001], [1.6082, 0.9925], [-0.4615, 1.086], [1.4608, 1.4667000000000001], [-1.5396, 1.5032]]], "bitstrings": ["110111", "010110"], "total_optimization_steps": 160, "probabilities": [0.346138... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 15 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"ZZIIII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
1a8155b224db54664a68f055f033253f | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [61399, 60375], "expectation_value": -14.869939683813865, "params": [[0.9861000000000001, 0.5986, 0.9488000000000001, 0.3226, 0.9628000000000001, 0.45430000000000004, 0.9111, 0.6222, 0.7924, 0.8835000000000001, 0.28600000000000003, 0.8743000000000001, 0.30410000000000004, 0.9807, 0.9807, 0.9885], [0.03990000... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 10 | 16 | 4 | {"smallest_eigenvalues": [-18.500000000000078], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.499999999999915, "smallest_bitstrings": ["0001010000101000"], "largest_eigenvalue": 63.50000000000016} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-1.7976347027261054e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-1.7976347027261054e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(-1.7976347027261054e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.... | 0.891892 | [
-1.7976347027261054e-8,
-1.2399449651503569e-8,
-1.5707962915080487,
-1.5707964004599495,
1.5707963785331627,
-1.5707963408864278,
-1.5707964034514517,
1.5707963010445554
] | {
"n_parameters": 8,
"n_qubits": 16,
"optimal_eigenvalue": -18.49999999999997,
"target_ratio": 0.97,
"target_value": -17.944999999999972
} | 280 |
3f15d8a3a52bb3495503dcce203eb5e8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [60, 57], "expectation_value": -4.499130260696261, "params": null, "bitstrings": ["1000011", "1000110"], "total_optimization_steps": 32, "probabilities": [0.06552842207411756, 0.9338525446456184], "optimization_time": 29.01347851753235} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000011", "1000110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18490095040635746) q[0];
rz(1.2635261740368904) q[0];
rx(0.3687010436203233) q[1];
rz(1.6439735689664445) q[1];
rx(0.7022268456495964) q[2];
rz(1.7823431104855736) q[2];
rx(1.1118749199278979) q[3];
rz(1.4509987147215941) q[3];
rx(0.06893412251554275) q[4];
rz(1.66... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIIIZI",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1,
-1.5,
-0.5,
0,
0
] | 0.970519 | [
0.18490095040635746,
-0.30727015275800573,
0.36870104362032324,
0.07317724217154742,
0.7022268456495964,
0.21154678369067664,
1.111874919927898,
-0.11979761207330228,
0.06893412251554275,
0.09437472440523963,
-0.07954573970746273,
0.19536377362600246,
0.20694865552136746,
0.155054759714475... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 21 |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 26], "expectation_value": -3.9999003248204605, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 28, "probabilities": [1.7187519565460784e-05, 0.9999500716492428], "optimization_time": 22.582581520080566} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [5, 1], "expectation_value": -2.3070903818031856, "params": [[-0.0541, -0.0577, -0.07690000000000001], [0.06620000000000001, 0.059000000000000004, 0.07060000000000001]], "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.011296145557949618, 0.012215984251952134], "opt... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.06974099551047935) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5890406829503434) q[1];
rz(-pi) q[2];
ry(-0.0021096615779952286) q[2];
ry(-0.008898726702413838) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.15495898986146583) q[4];
h q[5];
h q[6];
ry(-1.5890406829503434) q[6];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZZII",
"IIIZZIII",
"IZIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
2.75,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-1.5,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
0.75,
1
] | 0.995387 | [
1.4393368061031235,
-1.4512118663580789,
-1.5890406829503434,
-1.7277524128220563,
-1.5364768252188215,
-1.6101287227830505,
-0.07285832630814085,
-0.09968692985267691,
-0.03243337430224796,
0.003994192331387751,
0.0964622453811357
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 1 |
c88406bcf028f064c5be2f69f1db9f7c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [63, 47], "expectation_value": -79.71057517902292, "params": [0.1345, 0.13620000000000002, 0.1305, 0.1336, 0.0627, 0.051800000000000006, 0.49860000000000004, 0.4923, 0.2619, 0.2472, 0.4932, 0.49260000000000004, 0.4792, 0.4869, 0.4, 0.41040000000000004, 0.4883, 0.48300000000000004, 0.1383, 0.1375, 0.135400000... | 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(0) @ Z(5)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(7)) + 14.0 * Z(3) + 5.0 * Z(1) + -2.5 * ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["111010000"], "largest_eigenvalue": 188.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.0293481653313303) q[0];
rz(pi/2) q[0];
ry(-0.16523217881957786) q[1];
ry(0.19513049180871533) q[2];
ry(0.5381262392690643) q[3];
ry(0.16363202420596912) q[4];
ry(0.9221459639715437) q[5];
ry(0.5042341507749013) q[6];
ry(0.42900879652670615) q[7];
ry(0.461931999392... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIIIIZ",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14,
5,
-2.5,
28.5,
7.5,
22,
4,
13,
12.5
] | 0.972187 | [
-0.0293481653313303,
-0.16523217881957786,
0.19513049180871533,
0.5381262392690643,
0.16363202420596912,
0.9221459639715437,
0.5042341507749013,
0.42900879652670615,
0.4619319993925379,
-0.16151638526293308,
-0.11646910440418604,
-0.02869241323834057,
0.03926796831450456,
0.498004914351182... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 11 |
a9d659a07c5ecced76200691156cd5b6 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43669, 43605], "expectation_value": -1.7116843445706205, "params": null, "bitstrings": ["0101010101101010", "0101010110101010"], "total_optimization_steps": 100, "probabilities": [0.1270082312244586, 0.26418238137766603], "optimization_time": 855.096816778183} | 0.25 * (Z(0) @ Z(1)) + -0.0005000000000000001 * (Z(2) @ Z(0)) + -0.0005000000000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.023124999999962], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023124999999955, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0153749999999873} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.1993665165342126) q[0];
ry(1.349159488817914) q[1];
ry(-0.19132541863534497) q[2];
ry(1.1773938410888023) q[3];
ry(0.02722791972620106) q[4];
ry(1.7339865017081675) q[5];
ry(0.013308648564168987) q[6];
ry(1.4241067407637598) q[7];
ry(-0.17515843458619657) q[8];
r... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5947) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0005000000000000001,
-0.0005000000000000001,
0.25,
-0.0008749999999999999,
-0.00075,
-0.0008749999999999999,
-0.00075,
0.25,
-0.0008749999999999999,
-0.00075,
0.00025000000000000006,
-0.0008749999999999999,
-0.00075,
0.00025000000000000006,
0.25,
0.000375,
-0.00075,
0.00... | 0.970016 | [
-0.1993665165342126,
1.349159488817914,
-0.19132541863534497,
1.1773938410888023,
0.02722791972620106,
1.7339865017081675,
0.013308648564168987,
1.4241067407637598,
-0.17515843458619657,
-0.15675086246226944,
1.3620976591266651,
-0.045099292327448276,
1.399679424337489,
0.12330218628721508... | {
"n_parameters": 31,
"n_qubits": 16,
"optimal_eigenvalue": -2.023124999999955,
"target_ratio": 0.97,
"target_value": -1.9624312499999563
} | 27 |
80ea40a1cd4d9bb780bbb97236d9a0bc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [222, 214], "expectation_value": -8.100652246047984, "params": [-0.0035, 0.9247000000000001, 1.3034000000000001, -0.0027, 1.2958, -0.0013000000000000002, -0.0023, -0.7738, 1.1125, 0.5387000000000001, 0.8686, 0.48500000000000004, 1.2962, 0.0006000000000000001, 1.2993000000000001, -0.0009000000000000001, 0.001... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100101001", "100110001"], "largest_eigenvalue": 26.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08799439082692172) q[0];
rz(-0.04053423072081053) q[0];
rx(1.2006522271996443) q[1];
rz(-0.029852817323747956) q[1];
rx(1.2006522271996443) q[2];
rz(-0.08799439082692172) q[2];
rx(0.18833581716882544) q[3];
rz(-0.4849824546849156) q[3];
rx(-0.18261437563468638) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"... | [
-0.5,
1,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
2,
-1.625,
2,
3.5,
3.5,
-0.5,
1.75,
1.75,
-0.125
] | 0.978674 | [
-0.08799439082692172,
0.32284741774146336,
1.2006522271996443,
-0.029852817323747956,
0.18833581716882544,
-0.4849824546849156,
-0.18261437563468638,
0.4457386079991235,
1.0214807372461534,
0.12397842284346364,
1.0316252057604736,
-0.01557903318317504,
0.97996823976922,
0.23266544356229904... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.375,
"target_ratio": 0.97,
"target_value": -9.09375
} | 10 |
9b6c90aee56ab84919f7c826e678a024 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [1, 9], "expectation_value": -3.851712556027254, "params": [[[0.1952, -0.1955], [0.5720000000000001, 0.0024000000000000002], [0.1918, 0.1985], [0.46730000000000005, -0.0727], [0.602, -0.0004]], [[0.19390000000000002, -0.19540000000000002], [0.5693, 0.0024000000000000002], [0.18860000000000002, 0.1985], [0.47... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
26d7f56e59bfdf48052023802b40605b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [1, 3], "expectation_value": -3.8770303253604212, "params": [[[0.39440000000000003, -0.09230000000000001], [0.1938, -0.19690000000000002], [0.1945, -0.1967], [0.6005, 0.0023], [0.6059, 0.002]], [[0.38980000000000004, -0.09230000000000001], [0.1981, -0.1968], [0.196, -0.1967], [0.5964, 0.0023], [0.6026, 0.002... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
2,
-2.75,
-2.5,
-2.75,
-2.25,
-2.25
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
e8fdec38f32f10530d269f6547919d57 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 171], "expectation_value": -2.2013967690387943, "params": null, "bitstrings": ["11000110", "01010100"], "total_optimization_steps": 70, "probabilities": [0.237433390966907, 0.3490305674890666], "optimization_time": 124.15120577812195} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.3016) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"ZIZIIIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZZII",
"ZIIIZZII",
"ZZIIIZII",
"ZZIIZIII",
"ZZIIZZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.25,
0.125,
-0.125,
-0.25,
-0.25,
0.125,
-0.125
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
-1138517565592699559 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 6], [0, 1, 2, 3], [0, 1, 4], [1, 3, 4, 5, 6], [1, 2, 4, 5], [0, 5, 6], [2, 3, 4, 6], [0, 2, 6]]} | {"states": [126, 94], "expectation_value": -1.2771246568912706, "params": [[[2.6614, 0.0074], [1.5236, 0.0012000000000000001], [1.6447, 0.0039000000000000003], [2.6364, 0.0085], [2.6248, 0.0068000000000000005], [2.6427, 0.001], [1.5147000000000002, 0.0006000000000000001]]], "bitstrings": ["0000001", "0100001"], "total_... | 0.25 * (Z(0) @ Z(3)) + 0.3 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.1666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.2833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.95, "smallest_bitstrings": ["0100001"], "largest_eigenvalue": 8.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.521335016350203) q[0];
h q[1];
ry(-0.4681831547665385) q[1];
h q[2];
ry(-2.5153909500335003) q[3];
rz(-pi) q[3];
cx q[0], q[3];
ry(-0.2984858689929996) q[3];
cx q[0], q[3];
h q[4];
ry(1.3328690241221064) q[4];
cx q[4], q[1];
ry(0.4681831547665385) q[1];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IIIIIZZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZIZ",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IIZIIIZ",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"III... | [
0.25,
0.3,
0.5,
0.13333333333333333,
0.25,
0.05,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.3,
0.16666666666666666,
0.05,
0.16666666666666666,
0.21666666666666667,
0.13333333333333333,
0.083333333333333... | 0.973028 | [
1.521335016350203,
1.3328690241221064,
0.6461087542456043,
-0.7278982532658143,
0.5969717379859992,
-0.5193385803063241,
0.8883624832586667,
-0.936366309533077,
0.8036948984739032,
-0.6982222675279749,
0.5740383577229375,
-0.5749458995229116,
0.6152509584411375,
-0.2515751599535188,
0.17... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -2.2833333333333337,
"target_ratio": 0.97,
"target_value": -2.2148333333333334
} | 1 |
b426b8aff164c6823b185eb6b091738d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -3.919236127965419, "params": [[0.0713, 0.0644, 0.0577], [-0.07780000000000001, -0.06860000000000001, -0.0698]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.03952222109029309, 0.04098363553724844], "optimization_time": 6.35869026184082... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 13 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [1, 97], "expectation_value": -2.791854237972574, "params": [[-0.049, -0.0786], [0.0563, 0.07250000000000001]], "bitstrings": ["11111110", "10011110"], "total_optimization_steps": 10, "probabilities": [0.009475262974476813, 0.010112272278347531], "optimization_time": 6.4415974617004395} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7946463062368568) q[0];
h q[1];
h q[2];
ry(0.6186852872545041) q[2];
cx q[1], q[2];
ry(-0.6186852872545041) q[2];
cx q[1], q[2];
ry(1.5435180341782773) q[1];
ry(0.18224120531489832) q[2];
ry(-0.17608387131973435) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.247... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-1.25,
-0.5,
-2.5,
-0.75,
-1.25,
2.5,
-1,
-1.25,
-1,
-0.25,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
0.5,
-0.75,
1.75,
1.25,
-4.5,
1.5
] | 0.970629 | [
-1.147417811859112,
1.2373705745090082,
1.5435180341782773,
-0.49458928723210044,
-1.5892926124737137,
-2.309415929446479,
0.36448241062979664,
-0.4538661237832402,
-0.06284718478532479,
0.1828448554015769,
-0.33230521476711383,
0.37352140419820384,
-0.07913749338643893,
0.3498126979268162... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 77 |
1f15db56645aa784f47efc16e5301c8d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [63, 1], "expectation_value": -5.561041625554763, "params": [[0.078, 0.0665, 0.0708], [-0.0867, -0.0675, -0.0782]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.03915189553051612, 0.042755903230966646], "optimization_time": 6.550570487976074} | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 1 | 7 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.14465096475206188) q[0];
rz(0.4273591883110469) q[0];
rx(0.15828442435891127) q[1];
rz(-0.08961878454051071) q[1];
rx(0.026785558305668006) q[2];
rz(-0.18435202575239976) q[2];
rx(0.056047368725162076) q[3];
rz(-0.007867807388838188) q[3];
rx(0.026785558305668006)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIIZI",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-1.5,
-0.5,
-1.5,
-1.25,
-1.75,
-2.75,
-2.5,
-1.5,
-2,
1.75,
-0.5,
0,
-0.25,
1,
-1,
1.5,
-2.5,
1.25
] | 0.971407 | [
-0.14465096475206188,
0.4273591883110469,
0.15828442435891127,
-0.08961878454051071,
0.026785558305668006,
-0.18435202575239976,
0.056047368725162076,
-0.007867807388838188,
0.4253360608059712,
-0.05073043935803761,
-0.21849464254370934,
2.5289511101625592,
0.0059515070340149245
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 6 |
87224c590a6c623e4385c63f6a5a56ea | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [31, 27], "expectation_value": -4.021285453687917, "params": [[[0.0034000000000000002, 3.1597], [0.0022, 0.0019], [-1.6143, 0.0023], [0.0023, 0.0023], [0.002, -0.0102]]], "bitstrings": ["00000", "00100"], "total_optimization_steps": 320, "probabilities": [0.47821950093488563, 0.5216595722751988], "optimizati... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(2) | 15 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.822243038742368) q[0];
rz(3.125872941516012) q[0];
rx(0.17974168344967256) q[1];
rz(1.949880926627925) q[1];
rx(-0.41477122068286326) q[2];
rz(2.8554970925143763) q[2];
rx(-0.8755271994602615) q[3];
rz(1.8212531758931725) q[3];
rx(-0.7064676113500707) q[4];
rz(0.71... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q[4];
cx q[4], q[0];
cx q[3], q[4];
cx q[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IZIII",
"IIZII"
] | [
-1,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970003 | [
0.822243038742368,
1.5550766147211155,
0.1797416834496726,
0.37908459983302883,
-0.4147712206828633,
1.2847007657194796,
-0.8755271994602616,
0.25045684909827637,
-0.7064676113500707,
0.7160535821608828,
0.5186655708969602,
-0.1118533432386061,
-0.35466960996538094,
-0.6054146290312105,
... | {
"n_parameters": 100,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 153 |
109dd65f843c7effe1b685156edca6d7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [13, 7], "expectation_value": -10.210305256088361, "params": [[0.0494, 0.0329], [-0.07100000000000001, -0.0727]], "bitstrings": ["11110010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.009779452367974822, 0.010338556804236315], "optimization_time": 8.506990432739258} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 11 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
8f21ca6a42f39e8feac9b6bc02479d2e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"weight": 17, "source": 2, "target": 6}, {"... | {"states": [95, 94], "expectation_value": -29.30570535151504, "params": [[-0.0402, -0.0006000000000000001, 0.013800000000000002, 0.0019], [0.0815, 0.07200000000000001, 0.0648, 0.0614]], "bitstrings": ["10100000", "10100001"], "total_optimization_steps": 10, "probabilities": [0.017795275948950025, 0.02211584693778878], ... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.0 * Z(3) + 10.5 * Z(2) + 1... | 1 | 8 | 4 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 130.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05453820477267077) q[0];
cx q[1], q[0];
rz(0.7671305858021964) q[0];
rx(0.6589476253562743) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.05453820477267077) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.05453820477267077) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
0,
14,
10.5,
12.5,
15.5,
12.5,
7.5
] | 0.970748 | [
-0.05453820477267077,
-1.6138001937906719,
0.7671305858021962,
-1.1113850361936988,
0.560266999917792,
-1.4467304876862626,
-1.7781431021082255,
0.7419717518279245,
0.6589476253562743,
-0.013301907025763102,
0.10284957976313622,
-0.6549559357199661,
0.7218159966723807,
-0.18542254943082181... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -62.5,
"target_ratio": 0.97,
"target_value": -60.625
} | 59 |
12625ff7963f220cedd44f15c6035b49 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1508, 1509], "expectation_value": -17.542262389158992, "params": [0.0027, 0.006200000000000001, 0.0027, 0.003, 2.7876000000000003, 0.0027, -0.0027, 0.0081, 2.4312, 0.0039000000000000003, 2.8017000000000003, 0.0034000000000000002, 2.8016, 0.0037, 2.8057000000000003, 0.0014, 0.0026000000000000003, 0.0047, 0.0... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 18 | 13 | 1 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
6384165168136a2ee50b2e07f1a78e23 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [1453, 1485], "expectation_value": -2.7301050180472672, "params": [[[2.0135, 0.0011, 0.0053, 0.0013000000000000002], [0.0018000000000000002, -0.7167, -0.0018000000000000002, 0.01], [2.0121, 0.006500000000000001, 0.0064, 0.006], [-0.0035, -0.010100000000000001, 1.5751000000000002, 0.0014], [1.5934000000000001... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(0) @ Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(7)... | 12 | 11 | 1 | {"smallest_eigenvalues": [-4.375, -4.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.375, "smallest_bitstrings": ["01000110010", "01010000011"], "largest_eigenvalue": 7.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(2.919476530453912) q[0];
rz(-0.29434677634222395) q[0];
ry(-0.0402890612982402) q[1];
rz(-0.32544181407675266) q[1];
cz q[1], q[0];
ry(-0.1489938110173713) q[1];
ry(3.010882957632195) q[2];
rz(-0.16757648469742004) q[2];
ry(-0.026741890002223878) q[3];
rz(-0.4920247... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIZZZIII",
"IIIIIIIZIIZ",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZIIZIIZ",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IZIIIIZIIII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIZZIIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0.125,
0,
0,
... | 0.970869 | [
2.919476530453912,
-0.29434677634222395,
-0.0402890612982402,
-0.32544181407675266,
3.010882957632195,
-0.16757648469742004,
-0.026741890002223878,
-0.49202475764603515,
3.009046615905714,
-0.015110121626583428,
2.3210639451527255,
0.08617004054795749,
0.0662070119434419,
-0.40687241178161... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -4.375,
"target_ratio": 0.97,
"target_value": -4.2437499999999995
} | 22 |
251c225029b23900c5d41a0a241e8f62 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [20, 24], "expectation_value": -4.910603879610433, "params": null, "bitstrings": ["1101011", "1100111"], "total_optimization_steps": 22, "probabilities": [0.06070092546574744, 0.7871871280004877], "optimization_time": 21.771179676055908} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001111", "0110111", "1101011", "0111011", "1100111", "0111101", "0111110", "1101101"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.4736268371542338) q[0];
rz(-0.122847111341981) q[0];
ry(1.447375041311368) q[1];
rz(-0.21821365704593082) q[1];
cx q[1], q[0];
ry(-0.6970336969324273) q[0];
rz(0.18220853940307208) q[0];
ry(0.6588213546960189) q[1];
rz(0.2338143718655757) q[1];
ry(1.82391628025566... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-1.5,
-1.5,
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-2
] | 0.973828 | [
0.4736268371542338,
-0.122847111341981,
1.447375041311368,
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1.8239162802556628,
0.14945613049568937,
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0.16160993324535441,
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0.18272944424579318,
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0.997951130456255... | {
"n_parameters": 92,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 152 |
-6127881686487540869 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 3, 5], [1, 2, 3, 4], [0, 3, 4, 5], [0, 1, 2, 4]]} | {"states": [46, 54], "expectation_value": -0.4367096147457702, "params": [[0.3679], [-0.3557]], "bitstrings": ["010001", "001001"], "total_optimization_steps": 40, "probabilities": [0.025551115131304862, 0.025551115131304862], "optimization_time": 1.3275179862976074} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.133333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-0.9500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.95, "smallest_bitstrings": ["001001"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
ry(-0.24837288246605171) q[2];
cx q[1], q[2];
ry(0.24837288246605171) q[2];
cx q[1], q[2];
ry(-0.15264707109090925) q[2];
cx q[0], q[2];
ry(0.15264707109090925) q[2];
cx q[0], q[2];
ry(0.7072652207092754) q[1];
ry(-0.17054952553353667) q[2];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.13333333333333333,
0.21666666666666667,
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0.13333333333333333,
0.05,
0.13333333333333333,
0.05,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0... | 0.982944 | [
1.1997525303597858,
0.8982241216509127,
0.5150082148166217,
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0.4837222391399729,
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0.44708596313860505,
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0.5128198056416199,
-0.6325748325084013,
-0.29452385446293444,
0.3415220169214519,
-0.18795224428377844,
0.38875577138455936... | {
"n_parameters": 28,
"n_qubits": 6,
"optimal_eigenvalue": -0.9500000000000001,
"target_ratio": 0.97,
"target_value": -0.9215
} | 2 |
3881640076007148111 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2, 6], [1, 6, 7], [1, 3], [0, 8, 1, 6], [3, 5, 6], [8, 3, 6, 7], [2, 3], [0, 4], [8, 0, 7], [0, 8, 3, 5], [5, 7], [8, 2, 4, 6], [0, 2, 5, 6], [8, 3, 4, 5], [0, 3, 7]]} | {"states": [457, 55], "expectation_value": -0.020869054676308004, "params": [[-0.0201], [0.0302]], "bitstrings": ["000110110", "111001000"], "total_optimization_steps": 10, "probabilities": [0.00198367896258066, 0.001985301433393397], "optimization_time": 1.0781638622283936} | 0.41666666666666663 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.083333333333334, -4.083333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.916666666666668, "smallest_bitstrings": ["011010010", "111001000"], "largest_eigenvalue": 13.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.4771681445020017) q[0];
rz(0.0854124382472719) q[0];
ry(-0.18385935764717323) q[1];
ry(0.1419205062216583) q[2];
ry(1.5027221621802755) q[3];
ry(-0.24860911657708434) q[4];
ry(1.4802792578179793) q[5];
ry(1.6991393071129555) q[6];
ry(-0.14577338951446692) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIZIIIIZI",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IIIIIZIZI",
"IZIIIZIII",
"IIIZIIIIZ",
"ZIIZIIIII",
"... | [
0.41666666666666663,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.25,
0.25,
0.5,
0.25,
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.... | 0.979998 | [
1.4771681445020017,
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0.1419205062216583,
1.5027221621802755,
-0.24860911657708434,
1.4802792578179793,
1.6991393071129555,
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1.7325555349643476,
0.1708248764945438,
-0.10736656610440548,
-0.13133609747929692,
-0.01957013224336754,
-0.620944956824627... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -4.083333333333334,
"target_ratio": 0.97,
"target_value": -3.960833333333334
} | 15 |
a78b49bd5243ebdcb5b0d1f66adc8ac7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target":... | {"states": [609, 611], "expectation_value": -3.7163197198604285, "params": [[[1.7118, 0.0064], [-0.0061, 0.0057], [1.4768000000000001, 0.0098], [1.7114, 0.0013000000000000002], [1.6981000000000002, 0.0049], [-0.0018000000000000002, 0.007], [1.3649, 0.0], [0.1656, 0.0028], [1.6541000000000001, 0.004], [1.702200000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(5) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(3) + -... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0101011010", "0100110110", "0111011000", "0100011110", "0110011100", "0110110100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.0400061026519327) q[0];
rz(0.20544322541637816) q[0];
rx(-0.29341495341228024) q[1];
rz(-0.679830405842891) q[1];
rx(-0.45361550281876306) q[2];
rz(-0.32374445240832633) q[2];
rx(3.358341787931093) q[3];
rz(1.6131832604051102) q[3];
rx(3.2238652407345403) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIZIIIZIII",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"IIIIZIIZII",
"IZIIIIIZII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1.5,
-1,
-1,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.9744 | [
3.0400061026519327,
0.20544322541637816,
-0.29341495341228024,
-0.679830405842891,
-0.45361550281876306,
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3.358341787931093,
1.6131832604051102,
3.2238652407345403,
-0.5382520888669503,
0.06336715552104726,
-0.9645805649182124,
-0.07995250334220566,
1.4988214385469731,... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 27 |
081a3ef2a02910794db9cb14b9d27e2c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14190, 14198], "expectation_value": -8.506610455879311, "params": [0.0044, -0.8034, 3.0556, 0.003, 3.0862000000000003, 0.0074, -0.020300000000000002, 1.365, 2.8918, -0.0021000000000000003, 2.5679000000000003, 0.0029000000000000002, 3.0782000000000003, -0.0014, 3.0914, 1.0918, 2.9877000000000002, -0.00290000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 4 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999979, -8.749999999999979], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.749999999999975, "smallest_bitstrings": ["010010100100001", "100100010001001"], "largest_eigenvalue": 26.250000000000057} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
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1,
1,
1,
1
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1965, 3501], "expectation_value": -6.999472037177982, "params": null, "bitstrings": ["100001010010", "001001010010"], "total_optimization_steps": 100, "probabilities": [0.06089639755844991, 0.8704307752137688], "optimization_time": 278.4869828224182} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
de837449b9b1ac221f958aa18f8b69de | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [111, 103], "expectation_value": -0.31287716997407117, "params": [[-0.076], [0.07]], "bitstrings": ["0010000", "0011000"], "total_optimization_steps": 10, "probabilities": [0.009610642074357231, 0.00962519794333618], "optimization_time": 0.9681375026702881} | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.20454636169947982) q[0];
rz(2.8152219299414583) q[0];
rx(-0.44697682268564387) q[1];
rz(2.448194288614724) q[1];
rx(-0.06482965352697878) q[2];
rz(1.789633067939329) q[2];
rx(0.07456323353414633) q[3];
rz(2.240230974956189) q[3];
rx(0.08529955402258597) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(x2) q[4];
cx q[5], q... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.975716 | [
-0.20454636169947982,
1.2444256031465615,
-0.4469768226856438,
0.8773979618198277,
-0.06482965352697877,
0.21883674114443263,
0.07456323353414634,
0.6694346481612925,
0.08529955402258599,
1.0864724324281896,
-1.0194116337343637,
0.9110280395264493,
-0.32884727213360154,
-0.0769953673853635... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 107 |
a6b81bd94db1dc24b1e0e42e6a7091b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -30.726602474041577, "params": [[-0.0256, -0.0145, 0.0024000000000000002, 0.013900000000000001], [0.06520000000000001, 0.07010000000000001, 0.061000000000000006, 0.055400000000000005]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities":... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.744140712049382) q[0];
rz(-0.0472961356517434) q[0];
rx(3.110384720259039) q[1];
rz(0.22796018602275503) q[1];
rx(3.1447279415560803) q[2];
rz(-0.5280722703690759) q[2];
rx(0.2303163344266575) q[3];
rz(-0.9377822736725943) q[3];
rx(3.117670039049346) q[4];
rz(0.530... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
5,
12.5,
14.5,
4.5,
14,
9.5,
15.5,
2
] | 0.975861 | [
0.7441407120493821,
-0.10353319362533349,
3.110384720259039,
0.22796018602275503,
3.1447279415560803,
-0.5280722703690759,
0.2303163344266575,
-0.9377822736725943,
3.117670039049346,
0.530377326005906,
2.973122811681948,
-0.3866238784758647,
0.057713943702765926,
0.04753547702156585,
3.1... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 21 |
2d66a63516707ef6fa08689003d445e4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [25, 31], "expectation_value": -4.247334017010428, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 35, "probabilities": [0.24945952058901016, 0.7485756074158377], "optimization_time": 24.349447011947632} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.045249314476118775) q[0];
ry(-0.09669560328563567) q[1];
ry(-0.03838379751098028) q[2];
ry(0.014164474914697217) q[3];
ry(1.3425228774533042) q[4];
ry(-1.5424621818592792) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IZZIII",
"IIZIZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.75,
-1,
-0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.25,
0.75,
0.25,
-0.5,
-0.5
] | 0.975709 | [
-0.045249314476118775,
-0.09669560328563567,
-0.03838379751098028,
0.014164474914697217,
1.3425228774533042,
-1.5424621818592792,
0.042932205280697015,
0.41990295334686945,
-0.08410675703429009,
0.011798461387283209,
-0.05732375796055354,
-0.015000365546906917,
-0.27227999211895876,
0.0942... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 97 |
d30d9c84d3f9e23b795dab7b064cf7a4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [846, 838], "expectation_value": -102.77713537309131, "params": [-0.001, 0.4596, 0.7033, -0.0019, 0.6915, 0.1039, 0.28300000000000003, 0.2253, 0.7047, 0.1442, 0.27890000000000004, 0.2667, -0.0026000000000000003, 0.5121, 0.34240000000000004, 0.2044, 0.7002, 0.0079, 0.6995, -0.0781, 0.2082, -0.2101, -0.0051, 0... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(8)) + -3.5 * Z(0) + 9.0 * Z(1) + 4.5 * Z(3) + 16.0 * Z(2) + ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-129.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["10010111001"], "largest_eigenvalue": 194.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.06528306181645989) q[0];
rz(0.8513926885424041) q[0];
rx(0.7361618692965733) q[1];
rz(0.0659358573808706) q[1];
rx(0.8464037407761449) q[2];
rz(0.19328593962165455) q[2];
rx(-0.1525024936754858) q[3];
rz(0.12312234252899795) q[3];
rx(1.000836850059544) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IZIIIZIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-3.5,
9,
4.5,
16,
4.5,
9,
10,
22.5,
16,
2,
-14.5
] | 0.970715 | [
-0.0652830618164599,
0.7036731620590077,
0.7361618692965733,
0.0659358573808706,
0.8464037407761449,
0.19328593962165455,
-0.1525024936754858,
0.12312234252899795,
1.000836850059544,
-0.007823271634241982,
0.2116902492263999,
0.3146469778278749,
-0.11652711317667261,
0.3696433010732181,
... | {
"n_parameters": 128,
"n_qubits": 11,
"optimal_eigenvalue": -129.5,
"target_ratio": 0.97,
"target_value": -125.615
} | 13 |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [9, 11], "expectation_value": -5.749999999986026, "params": null, "bitstrings": ["10110", "10100"], "total_optimization_steps": 17, "probabilities": [0.49999999999767164, 0.49999999999767164], "optimization_time": 8.400888919830322} | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5890800937377858) q[0];
rz(-pi) q[1];
ry(-3.1155327368841115) q[1];
rz(-pi) q[2];
ry(-0.04137361749157337) q[2];
h q[3];
h q[4];
ry(1.642088873374983) q[4];
cx q[4], q[2];
ry(0.05197446119306805) q[2];
cx q[4], q[2];
cx q[4], q[1];
ry(0.06805220409940113) ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIZIZ",
"IZZII",
"IZIZI",
"ZIZII",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-1.5,
-0.75,
-0.25,
-1,
1.75,
-1,
-1.25,
-0.25,
0.5,
1.25,
-0.25
] | 0.997568 | [
1.6649084475999796,
-1.560195483093402,
-1.5890800937377858,
1.642088873374983,
-0.1039489223861361,
-0.13610440819880226
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 1 |
3bb079244230ecfe3b12b98f791fe70b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -28.620763918705247, "params": [[[0.0026000000000000003, 1.6054000000000002], [0.0029000000000000002, -0.0025], [0.0019, 0.0021000000000000003], [0.002, 0.0022], [0.0025, 0.002], [0.0026000000000000003, 0.002], [0.0016, 0.0022], [0.0023, 0.0022], [0.0024000000000000002, 0.0023]... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -... | 15 | 9 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6548320554903005) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.6548320554903005) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.6548320554903005) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.6548320554903005) q[4];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2,
0.5,
-2.5,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.581612 | [
0.6548320554903005,
0.4254911336337202,
0.853145151007256,
0.06253831148041922,
-0.10407450244675698,
0.2308114584225779,
1.0462130045528344
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 177 |
6f1f8daa017121276619f2bc791c1351 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -42.54362520225431, "params": [0.0041, -0.4348, 0.0024000000000000002, 0.0056, 0.0047, 0.24050000000000002, -0.0002, 0.0077, 0.0028, 0.5786, 0.0028, 0.0008, 0.8104, -0.003, 0.8052, 0.0054, 0.0028, 0.5907, 0.0028, 0.007200000000000001, 0.0019, 0.5331, 0.0022, 0.0081, 0.002100000... | -1.25 * (Z(0) @ Z(4)) + -1.0 * (Z(9) @ Z(0)) + -1.25 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @ Z(0)) + -2.0 * (Z(10) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(10)) + -1.75 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(9)) + -2.0 * (Z(6) @ Z(1)) + -1.0 * (Z(11) @ Z(4)) + -2.25 * (Z(11) @ Z(9)) + -2.25 * (Z(11) @ Z(1)) + 3.5 * (Z... | 6 | 12 | 1 | {"smallest_eigenvalues": [-43.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -42.5, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 32.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.009415215722072079) q[0];
rz(1.1363363365338843) q[0];
rx(-0.017943290212947754) q[1];
rz(1.9142754345815405) q[1];
rx(-0.020679172795701133) q[2];
rz(2.332922114668248) q[2];
rx(0.949277332289718) q[3];
rz(1.7014583913882522) q[3];
rx(-0.020679172795701136) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIIIIIIIIZ",
"IZZIIIIIIIII",
"IIIIIIIZIIZI",
"IZIIIIIIIIZI",
"IIIIIZIZIIII",
"IIZIIZIIIIII",
"IIIIIZIIIIZI",
"ZIIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIIZI",
"IIIIIIIIZIIZ",
"IZIIIIIIZIII",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIZIIIZII... | [
-1.25,
-1,
-1.25,
-1,
-2,
-1,
-0.25,
-1.75,
-1.5,
-2,
-1,
-2.25,
-2.25,
3.5,
-1.75,
-0.5,
-0.75,
-1.25,
-0.25,
-0.25,
-1.75,
-0.75,
-0.75,
-1.5,
-1.75,
-1.75,
-0.25,
-1,
-2,
-1.5,
-1,
-1.75,
-0.25,
-0.5,
-1,
-3.25,
-1,
-2.5,
-0.25,
-0.5,
... | 0.973166 | [
0.009415215722072077,
-0.43445999026101234,
-0.017943290212947757,
0.34347910778664437,
-0.020679172795701133,
0.7621257878733512,
0.9492773322897181,
0.13066206459335508,
0.5244300614411856,
0.21042220866795108,
0.5042194064731201,
-0.07035723424346238,
0.6469619525757273,
0.0029435243115... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -43.5,
"target_ratio": 0.97,
"target_value": -42.195
} | 1 |
44024677ca28b32241620a387d32f127 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [254, 1], "expectation_value": -1.8114611538694543, "params": [[-0.050800000000000005, 0.0292, -0.0094, -0.0412], [0.07680000000000001, 0.0047, 0.0137, 0.0376]], "bitstrings": ["00000001", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006977648781400402, 0.007441590549712981], "optimizatio... | -1.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["11110110", "11111110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.19218907498559545) q[0];
rz(0.09291448036761274) q[0];
rx(-0.04967512536563515) q[1];
rz(-0.16789485095899792) q[1];
rx(-0.02711705055853979) q[2];
rz(0.05319382007744444) q[2];
rx(-0.12111715079099174) q[3];
rz(0.1279624991313213) q[3];
rx(0.23015179240913114) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IZIIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZZIIIII",
"IIIZZIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"IIIZIII... | [
-1.25,
-0.75,
-1.25,
2.75,
-1,
-1,
-1.25,
-0.5,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
-1,
-1.25,
-2.5,
-0.25,
-2,
1,
-1,
2.25,
0.25,
2.25
] | 0.979512 | [
-0.19218907498559545,
0.24226762152849585,
-0.04967512536563515,
0.03839223908092401,
-0.027117050558539788,
0.1805599682181002,
-0.12111715079099175,
0.15017832014264118,
0.23015179240913117,
-0.2140719017473917,
-0.10195516285177114,
0.3252229958863298,
0.08491686831584225,
0.41598657944... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 6 |
5552903255659478507 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 8], [2, 6], [2, 7], [1, 7], [8, 4], [0, 9], [4, 5], [1, 5], [9, 3], [9, 6], [8, 2], [0, 1], [1, 9], [3, 6], [9, 2], [0, 7], [2, 3], [4, 6], [8, 6]]} | {"states": [95, 87], "expectation_value": -0.15550039460068513, "params": [0.6879000000000001, -0.029500000000000002, 0.676, 0.001, 0.7006, -0.013000000000000001, 0.6919000000000001, 0.0092, 0.6953, -0.002, 0.6857000000000001, 0.0057, 0.6970000000000001, -0.0013000000000000002, 0.6971, 0.0098, 0.6997, 0.000600000000000... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(5) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110101000", "0001010111", "0000011111", "1111100000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.08547384469212277) q[0];
rz(2.637480034000304) q[0];
rx(0.02799548158015583) q[1];
rz(1.9072452310444747) q[1];
rx(0.14180381878357765) q[2];
rz(2.46141291714188) q[2];
rx(2.6438043174106785) q[3];
rz(1.0422577281166232) q[3];
rx(-0.19225779181477867) q[4];
rz(2.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIZIIIIII",
"IIIZIIIZII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IZIIIZIIII",
"IIIZIZIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIIIZZII",
"IIIZIIZIII",
"ZIIIIIZIII",
"IZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971201 | [
0.08547384469212277,
1.0666837072054074,
0.02799548158015583,
0.3364489042495783,
0.14180381878357762,
0.8906165903469832,
2.6438043174106785,
-0.5285385986782732,
-0.19225779181477873,
0.7228525773959403,
0.9774524518572805,
0.3010095063528936,
0.18267589377524998,
-0.904405262434105,
0... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 121 |
280c299f20e1315abf7588da0d0c677b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [886, 374], "expectation_value": -1.3394033984521794, "params": [[[1.1002, 0.0019, 0.0004, 0.0089], [1.0926, -0.0018000000000000002, 1.1026, 0.0088], [0.807, 0.003, -0.8067000000000001, 0.0036000000000000003], [0.0567, 0.37920000000000004, 0.3457, 0.0035], [1.1064, -0.0034000000000000002, 1.1068, 0.0001], [1... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010011100", "0010010110", "0011100010", "0110010100", "0110100001", "0010100011", "1010001001", "0010011001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.087876969629739) q[0];
rz(-0.5156851497874234) q[0];
ry(-0.33654896756207303) q[1];
rz(0.047832649570161825) q[1];
cx q[1], q[0];
ry(0.6190836215180014) q[0];
rz(0.3307864854267342) q[0];
ry(0.610204825794482) q[1];
rz(0.387587080981725) q[1];
ry(-0.00852679081191... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIZIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZZIZIIII",
"IIIZIIIIZI"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
-0.625,
0.125,
0,
0,
0... | 0.970407 | [
1.087876969629739,
-0.5156851497874234,
-0.33654896756207303,
0.047832649570161825,
-0.008526790811912217,
0.2927708867307223,
-0.05440600889187779,
-0.66789634116803,
0.27754255662739025,
-0.09947710957524689,
-0.06888954991081045,
0.28177127714475964,
0.005075387186939086,
-0.25745773945... | {
"n_parameters": 108,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 83 |
69144809aea48cb46eae9c3950f24a15 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [12, 9], "expectation_value": -1.4741122302370115, "params": null, "bitstrings": ["0011", "0110"], "total_optimization_steps": 12, "probabilities": [0.07397885559690098, 0.9005801026366488], "optimization_time": 3.3566794395446777} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IZIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [3, 1], "expectation_value": -1.2733991661097452, "params": [[0.0632, 0.0609, 0.0646], [-0.0459, -0.0482, -0.0562]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004791737840358308, 0.005041322028059536], "optimization_time": 4.99131965637207} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.019398678090436997) q[0];
rz(2.084914487441562) q[0];
rx(0.09762454859881467) q[1];
rz(1.9642393875336737) q[1];
rx(0.15349678368786707) q[2];
rz(2.054520407527221) q[2];
rx(0.1508063677983519) q[3];
rz(2.01629317791377) q[3];
rx(-0.20457896895512162) q[4];
rz(1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-1,
-0.25,
-1,
0.5,
1.5,
-0.25,
0.75,
0.5,
-0.75
] | 0.973875 | [
-0.019398678090436994,
0.514118160646666,
0.09762454859881467,
0.39344306073877683,
0.15349678368786707,
0.4837240807323244,
0.1508063677983519,
0.44549685111887327,
-0.20457896895512162,
0.3909184559611752,
-0.1069543401062249,
0.5626121896390848,
0.019812075457725918,
0.4101572633914103,... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 6 |
9654c545357abbe9e95dba48af827af6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 19, ... | {"states": [214, 118], "expectation_value": -9.398559295315435, "params": [[0.054200000000000005], [-0.07540000000000001]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00787219871475043, 0.008342303601752437], "optimization_time": 1.6480014324188232} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0011522340551590252) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0011522340551590252) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0011522340551590252) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.0011522340551590252) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZIIZ",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IIIZZIII",
"IZIIIIZI",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
8,
10.5,
13.5,
14,
11,
10.5,
-0.5
] | 0.9701 | [
-0.0011522340551590252,
1.4198778051373766,
-1.6914893495550405,
1.497053830930895,
1.7292200745702024,
1.183563834745271,
-0.8896798042232335,
-1.5810176557276576,
-1.2564221794225994,
0.11584926322863424,
0.9377064387781754,
-0.8309733378014517,
0.20908203985992,
0.1567296409660722,
0.... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 48 |
4286d838a0864c608421aefd7c0a8694 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [1, 3], "expectation_value": -15.834798872316876, "params": [0.0018000000000000002, 0.4228, 0.002, 0.3108, 0.0031000000000000003, 0.456, 0.0017000000000000001, 0.3805, 0.0024000000000000002, 0.46140000000000003, 0.0027, 0.4454, 0.4546, 0.33080000000000004, 0.6096, -0.0013000000000000002, 0.007200000000000001... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 4 | 8 | 3 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.9045870181296413) q[0];
ry(-0.2170474160110289) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5470769059317142) q[2];
rz(-pi) q[3];
ry(-0.2843983056732562) q[3];
rz(-pi) q[4];
ry(-0.2265876657411871) q[4];
h q[5];
h q[6];
h q[7];
ry(1.5286010451067176) q[7];
cx q[7], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1,
-0.5,
4.25,
-0.25,
-1,
-0.75,
-0.5,
-2.25,
-0.25,
-0.5,
-2.25,
-1,
4.25,
0.75,
1.25
] | 0.974008 | [
1.5286010451067176,
-1.8091740362592825,
-1.9895281018553466,
-1.4053738037883465,
0.39796311717390886,
-0.00019440015801999722,
-0.21779767655905893,
-1.5470769059317142,
-0.42085430085678377,
0.1517805527427289,
0.10324978600895736,
-0.3105191432550561,
0.18150412591190185,
-1.0315729899... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 26 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [3, 1], "expectation_value": -0.23345714709895676, "params": [[-0.0811], [0.07300000000000001]], "bitstrings": ["1100", "1110"], "total_optimization_steps": 10, "probabilities": [0.07072281466921301, 0.07338655540287595], "optimization_time": 0.6828262805938721} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(x2) ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
cf1a4ca92a524f6dd2040b9bcace558f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"sour... | {"states": [227, 226], "expectation_value": -5.0518691675441945, "params": [0.1257, -0.0099, 0.9966, -0.0009000000000000001, 1.0024, -0.0041, 1.0019, 0.0017000000000000001, -0.0028, 0.4934, 0.2232, -0.46690000000000004, 0.004, -0.3426, 1.0003, 0.007, 0.6711, -0.21380000000000002, 0.11720000000000001, 0.0108, 0.99810000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -2.0 *... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["111010100", "100011101", "101011100", "010010111", "111011000", "110010101", "011010110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.08364845336548297) q[0];
rz(1.4646789551290764) q[0];
rx(0.9077176013412221) q[1];
rz(1.7628778568492294) q[1];
rx(1.0888104668628003) q[2];
rz(1.3649373173517985) q[2];
rx(1.5616350813235023) q[3];
rz(1.3872806808900524) q[3];
rx(0.023374810376484725) q[4];
rz(2.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIZZIIIII",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIZIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2,
-1.5,
0,
-0.5,
-1,
-0.5,
0
] | 0.977253 | [
0.08364845336548296,
-0.10611737166581976,
0.907717601341222,
0.19208153005433296,
1.0888104668628005,
-0.20585900944309835,
1.5616350813235023,
-0.18351564590484365,
0.023374810376484725,
0.619831151461498,
-0.0742151686296337,
-0.16528794671105068,
0.10018722415338249,
-0.52390369081375,... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
1434096e59219230a9a448bfa214dbb8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [17, 31], "expectation_value": -3.6385288436410455, "params": [-0.007500000000000001, -0.4249, 1.2614, -1.07, -0.0001, 1.0798, 0.1895, 2.204, 0.5581, 0.78, 0.7906000000000001, 0.2733, 0.0014, -0.0063, 1.1872, -0.3559, -0.0001, 1.4160000000000001, -0.0694, 0.9833000000000001, 0.42500000000000004, 2.2248, 0.79... | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 4 | 6 | 3 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.2564198566378726) q[0];
cx q[5], q[0];
rz(-0.3146460561418274) q[0];
rx(-1.6223542204331562) q[0];
cx q[5], q[3];
rz(-0.31464605614182717) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-0.11063528912386725) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.25,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
0,
-0.25,
0,
0.5,
-0.75,
0.5
] | 0.970556 | [
0.2564198566378726,
-0.31464605614182717,
-0.11063528912386725,
-0.22235587717504138,
0.043180038727850936,
0.9834780824833873,
0.5361200627626684,
0.807027611931993,
-1.6223542204331562,
0.5313479849503246,
-0.6614372268591644,
-0.18109175624279295,
-0.5344228021086342,
0.0592722986641893... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 114 |
1c2304a67a30db02b0aacaef8f54cc49 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [122, 118], "expectation_value": -39.07847706733162, "params": null, "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 100, "probabilities": [0.13642672542812723, 0.17023039196499282], "optimization_time": 164.18685626983643} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.24986965852497725) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.24986965852497725) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.24986965852497725) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.24986965852497725) q[3];
cx q[1], ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
7.5,
18,
22,
9,
15.5,
12,
12.5
] | 0.975247 | [
-0.24986965852497725,
1.3798768189646131,
0.5821516926402323,
1.507434803907877,
0.15831176221933974,
1.6841090119447395,
1.868921696942766,
-0.8358733501937907,
-0.1051427607175125,
0.20699330037022715,
0.7086183832847479,
-1.714949108239384,
-0.20111868516637169,
-0.47681140686524326,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 81 |
b3db3e483e24562ff83d0a437f6b3377 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [476, 460], "expectation_value": -113.16022375052687, "params": [[[1.5717, 0.0028], [1.5652000000000001, 0.0027], [1.5179, -0.0022], [1.5759, 0.0018000000000000002], [0.0029000000000000002, 0.0038], [-0.9985, 1.8516000000000001], [-0.10990000000000001, 0.7444000000000001], [0.7208, 1.6823000000000001], [0.01... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(6) @ Z(8)) + 8.0 * Z(0) + 13.5 * Z(1) + 10.0 * ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-128.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["1000110011"], "largest_eigenvalue": 216.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.61707835628504) q[0];
ry(1.7293678695770307) q[1];
ry(1.5473388416958405) q[2];
ry(1.522136264606342) q[3];
ry(-0.0758350413965124) q[4];
ry(-1.599223465122278) q[5];
ry(-0.09561675148011241) q[6];
ry(0.38315047395524227) q[7];
ry(-0.09453759585503965) q[8];
ry(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
8,
13.5,
10,
2,
24.5,
2.5,
21.5,
1.5,
22.5,
-13
] | 0.971222 | [
1.61707835628504,
1.7293678695770307,
1.5473388416958405,
1.522136264606342,
-0.0758350413965124,
-1.599223465122278,
-0.09561675148011241,
0.38315047395524227,
-0.09453759585503965,
1.6261652886751936,
-0.04931530320643455,
-0.039210820940958756,
0.0245211382763665,
0.008655394972558215,
... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -128.5,
"target_ratio": 0.97,
"target_value": -124.645
} | 29 |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -4.496464044051204, "params": null, "bitstrings": ["110001", "110010"], "total_optimization_steps": 25, "probabilities": [0.06634810230018152, 0.9303665171788271], "optimization_time": 21.415960788726807} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
1937599400360505133 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 4], [1, 5], [1, 4], [10, 3], [2, 10], [0, 6], [0, 7], [8, 7], [10, 4], [2, 6], [5, 7], [2, 11], [10, 11], [0, 2], [8, 0], [0, 1], [9, 1], [9, 11], [1, 2], [1, 11], [9, 6], [10, 5], [1, 3], [10, 7], [8, 1], [9, 7]]} | {"states": [1802, 1804], "expectation_value": -6.262299453249233, "params": [[[-0.0021000000000000003, -0.5951000000000001, 0.009600000000000001, 0.009000000000000001], [-0.0026000000000000003, -0.6902, -0.0026000000000000003, 0.0008], [1.5744, -0.0028, 1.5673000000000001, 0.0004], [1.9460000000000002, 0.4348, 1.52, 0.... | 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(10)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(... | 11 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.0, "smallest_bitstrings": ["100111110001", "100111110011", "011100001100", "100011110011", "011000001100", "011000001110", "011100001110", "100011110001"], "largest_eigenvalue": 13.... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.07822433110231392) q[0];
rz(-0.35136165090965243) q[0];
ry(-0.03726717639571939) q[1];
rz(-0.6259310948725931) q[1];
cx q[1], q[0];
ry(-0.03726717639571939) q[1];
rz(0.060219851717373096) q[1];
ry(1.5965827624506344) q[2];
rz(0.015080473610896476) q[2];
ry(2.12588... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIZIIIIII",
"IIIIIZIIIIZI",
"IZIIIIIIIIZI",
"IIIIZIIIIIZI",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIIIIIZIIZI",
"IIIIIIIZIZII",
"IZIIIIIIIIIZ",
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IZZIIIIIIIII",
"IIZIZIIIIIII",
"IIZIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974804 | [
0.07822433110231392,
-0.35136165090965243,
-0.03726717639571939,
-0.6259310948725931,
1.5965827624506344,
0.015080473610896476,
2.1258870595337265,
0.04538568300564913,
0.07000740490598467,
1.133599630246589,
-0.6098460015821378,
-1.4402652745725657,
-0.018699490090273403,
1.63902105111297... | {
"n_parameters": 37,
"n_qubits": 12,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
bb51b85a8f0cca1e878093cb2d4e9f25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 3}, {"weight": 9... | {"states": [190, 118], "expectation_value": -36.366640500099976, "params": [[0.023700000000000002, 0.0055000000000000005, -0.006900000000000001, -0.0007], [-0.0641, -0.0689, -0.0589, -0.060200000000000004]], "bitstrings": ["01000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01505686671885982, 0... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 179.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
20.5,
6.5,
20,
17,
8,
18.5,
16.5,
9
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
e5b0ce535bcb92efe5cd479863c01b12 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [0, 1], "expectation_value": -21.753308565799856, "params": [-0.0112, 0.0079, -0.0038, 0.006500000000000001, 0.0007, 0.1701, 0.00030000000000000003, 0.17220000000000002, 0.0004, 0.1636, 0.0049, 0.1579, 0.001, 0.1681, 0.0024000000000000002, 0.16440000000000002, 0.0026000000000000003, 0.1638, 0.0001, 0.1651, 0... | -0.75 * (Z(0) @ Z(8)) + -1.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(8)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -2.25 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(2)) + -1.5 * (Z(4) @ Z(8)) + -1.5 * (Z(4) ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["1000000000", "1111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.8223698530604044) q[0];
h q[1];
ry(0.7736775188551226) q[1];
h q[2];
ry(1.5473550377102452) q[2];
h q[3];
ry(1.5473550377102452) q[3];
h q[4];
ry(0.7736775188551226) q[4];
h q[5];
ry(0.7736775188551226) q[5];
h q[6];
h q[7];
ry(0.7736775188551226) q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZ",
"IZIIIIIIZI",
"IZIIIIZIII",
"IIIIIIZIZI",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIIIIZZII",
"IZZIIIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZIIIIZII",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IZIIZIIIII"... | [
-0.75,
-1.25,
-0.5,
-1.25,
-1,
-0.75,
-0.25,
-2.25,
-1.25,
-0.5,
-1.75,
-1,
-1.5,
-1.5,
-0.25,
-0.25,
1,
-0.5,
-0.25,
-1,
-1,
-2,
-1.5,
0.25,
-0.25,
-0.75,
2.25,
-0.25,
0,
0,
-2,
0.25,
0.5
] | 0.966259 | [
1.5473550377102452,
1.225585876767597,
-0.0009693177649597179,
0.4134048433465159,
-1.186625783996184,
0.9788553307831871,
0.08045431529559613,
-1.683060514304813,
3.233555315217666,
-1.8616712823502095,
0.028242526959921348,
1.578609225656276,
-1.6447397061208089,
-0.4007359729138705,
0... | {
"n_parameters": 62,
"n_qubits": 10,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 500 |
62ca4fdc3f835f51dee1780376d2bf19 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [102, 110], "expectation_value": -1.835445891631983, "params": [0.24980000000000002, 0.3371, 0.507, 0.25070000000000003, 0.5984, -0.0424, -0.0078000000000000005, 0.37870000000000004, 0.4194, 0.0818, 0.5993, -0.0032, 0.6056, -0.0001, 0.1792, -0.2033, 0.2036, 0.35100000000000003, 0.47350000000000003, 0.3094, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["10010001", "01011000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IZIIZIII",
"ZIIZIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIZI",
"ZIZIIIZ... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.125,
0.25,
-0.125,
-0.125
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
74c477dbe35486055f0a39f50499e44b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [342, 374], "expectation_value": -2.5652330919225808, "params": [[[0.2484, 0.0675, 0.0, 0.006], [0.669, 0.2521, 0.1264, 0.004200000000000001], [0.0316, -0.0013000000000000002, 0.0086, -0.0046], [0.7684000000000001, -0.0181, 0.8001, 0.0027], [-0.4025, -0.0034000000000000002, 0.0012000000000000001, 0.000600000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 12 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.25, "smallest_bitstrings": ["0011100100", "1000001011", "0010011001", "0010110001", "0010101001", "0010100101", "0001011010", "0001101010", "000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.568945961229374) q[0];
h q[1];
h q[2];
ry(-0.5024873650502395) q[2];
cx q[1], q[2];
ry(0.5024873650502395) q[2];
cx q[1], q[2];
ry(0.8057412380043845) q[1];
ry(-0.6760381192098136) q[2];
ry(-0.0029617717683342185) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZZZIIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.25,
-0.125... | 0.996487 | [
-1.568945961229374,
-1.559719298141302,
-1.5352660551683317,
1.4579616084211091,
-1.004974730100479,
0.6444560256809038,
-0.48152347261538897,
0.3225704246469614,
-0.3890292931888493,
0.4142452803912122,
-0.07952619820417396,
-0.06513699971646146,
0.28140873634541574,
0.05302805438889746,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
c24dd733315066f7c7da3d578f954d8c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [46, 47], "expectation_value": -4.499906801932809, "params": null, "bitstrings": ["010001", "010000"], "total_optimization_steps": 23, "probabilities": [1.4544661481581006e-05, 0.9999210579975322], "optimization_time": 19.638716459274292} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
0,
0,
0
] | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
e0516bb518ee285d23a8010370ebd407 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [1898, 1914], "expectation_value": -1.9216188480505205, "params": [[[0.5501, -0.0476, 0.0028, 0.0099], [1.0421, -0.0443, 0.6421, 0.0095], [1.1044, 0.0018000000000000002, 1.1011, 0.0015], [1.0974000000000002, 0.0034000000000000002, 1.103, 0.0054], [1.006, -0.0029000000000000002, -1.0068000000000001, 0.0009000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(5) @ Z(0)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(0) @ Z(8)) + 0.03125 * (Z(5) @ Z(3)) + 0.03125 * (Z(6) @ Z(3)) + 0.03125 * (Z(3) ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.78125, "smallest_bitstrings": ["001011000001", "1000100001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04328000785297783) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.04328000785297783) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.04328000785297783) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(0.04328000785297... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIIIZIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIIZZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.... | 0.980511 | [
0.04328000785297783,
-1.455649869643561,
1.4052522464945618,
-1.5874463397838816,
1.6147429593034577,
-1.4666268071066326
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 28 |
6ce86fd90cfcfc8619e1d79aa454f77b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [9, 1], "expectation_value": -0.28605801272147285, "params": [[0.0669], [-0.0655]], "bitstrings": ["111110110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0025293717761964043, 0.0026776420840638904], "optimization_time": 7.712101459503174} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.042183601213293724) q[0];
rz(-0.2379157173013633) q[0];
rx(0.041866752753559604) q[1];
rz(-0.16714895785697248) q[1];
rx(-0.2918772183227563) q[2];
rz(0.015045320069528856) q[2];
rx(-0.023938965135507136) q[3];
rz(-0.1333700161811624) q[3];
rx(0.11242703318236696) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIZI",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
0.25,
-0.25,
-1,
-0.25,
1.5,
-0.25
] | 0.970831 | [
0.04218360121329372,
-0.28452661302214677,
0.04186675275355961,
-0.15223136005094104,
-0.29187721832275637,
0.048940938675368625,
-0.023938965135507133,
-0.19014708149658313,
0.11242703318236696,
-0.1095468946398436,
-0.07412001935728986,
-0.062316060849386276,
-0.010396061229373844,
-0.01... | {
"n_parameters": 150,
"n_qubits": 9,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 6 |
-2259529078783254842 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4], [1, 3], [1, 2], [6, 7], [0, 2], [1, 7], [3, 6], [1, 5]]} | {"states": [109, 107], "expectation_value": -3.1334899716757088, "params": null, "bitstrings": ["110010010", "110010100"], "total_optimization_steps": 69, "probabilities": [0.05594186831892744, 0.650212556106854], "optimization_time": 79.08721661567688} | 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(5) | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010100", "110000101", "001111010", "001101011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.8226011051272947) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.8226011051272947) q[2];
cx q[1], q[2];
cx q[2], q[0];
rz(0.8226011051272947) q[0];
cx q[2], q[0];
rz(-1.8595611717131533e-08) q[0];
rx(-0.7853981658412066) q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIIZIIII",
"IIIIIZIZI",
"IIIIIIZZI",
"IIZIIZIII",
"IZIIIIIZI",
"IZZIIIIII",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.490232 | [
0.8226011051272947,
-1.8595611680910654e-8,
-0.7853981658412066
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 87 |
7dd0a85ae083861a7e6473750beb50c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [722, 754], "expectation_value": -1.103483785171177, "params": [[[0.378, 0.1729], [0.5899, 0.0247], [0.6079, 0.38770000000000004], [0.5967, 0.4136], [0.2654, 0.46680000000000005], [0.6006, 0.3154], [0.191, 0.30970000000000003], [0.41440000000000005, -0.31920000000000004], [0.599, 0.6069], [0.5659000000000001... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0001011010", "0000101101", "0011001100", "1000100101", "1000001101", "0... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.113092417247212) q[0];
rz(0.4880866999982407) q[0];
rx(0.38465931902777295) q[1];
rz(0.20065546137673845) q[1];
cx q[1], q[0];
rz(-0.055866517219434) q[0];
cx q[1], q[0];
rz(-0.007223024598085756) q[1];
rx(-3.0800478140916203) q[2];
rz(-0.1321662875450258) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIZIIZZ",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII"... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.976959 | [
3.170092889932375,
0.4322201827788072,
0.38465931902777295,
0.20065546137673845,
3.2031374930879664,
-0.23249401823339577,
2.9439076566432285,
0.4119475223097899,
3.0429737068572065,
0.5317571013857584,
3.2364125851665366,
-0.6315713390951732,
0.1757618025061331,
-0.09015087172883156,
-0... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 14 |
1e9e9fd16803043bf14602f8d69de988 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [0, 511], "expectation_value": -9.80947716892097, "params": [[[0.0313, -0.0053], [-0.0015, 1.6141], [-0.0027, -0.007500000000000001], [-0.0029000000000000002, -0.0024000000000000002], [-0.0033, 0.0028], [-0.0026000000000000003, 0.0027], [-0.0036000000000000003, 0.0019], [-0.0024000000000000002, -0.0019], [0.... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(3)) + -0.25 * (Z(6) @ Z(7)) + -1.75 * (Z(6) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @... | 15 | 10 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.05414323265973762) q[0];
ry(0.25658045924543904) q[1];
ry(0.0007728287389536497) q[2];
ry(0.03247258538536701) q[3];
ry(0.10848243096668193) q[4];
ry(-0.00999716756016167) q[5];
ry(-0.043378559085624116) q[6];
ry(-0.02101291722104164) q[7];
ry(0.45229664669245556... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIZZIIIIII",
"IIIZIIIZII",
"IIIIZIZIII",
"IIZIZIIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IIIIIZIZII",
"IIIZIZIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
-0.25,
-0.5,
0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
-0.5,
-0.25,
-0.25,
0,
-0.25,
-1,
0,
0.25,
0,
0.75,
-1.25,
1.5,
0
] | 0.970773 | [
-0.05414323265973762,
0.25658045924543904,
0.0007728287389536497,
0.03247258538536701,
0.10848243096668193,
-0.00999716756016167,
-0.043378559085624116,
-0.02101291722104164,
0.45229664669245556,
1.4756379213269892,
-0.043360514603535065,
2.0969151038607796,
-0.029803475753634016,
-0.04541... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 59 |
d73d59d8534bb2db64056b6b376ab049 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -5.913880455426702, "params": null, "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 94, "probabilities": [0.10228472684526303, 0.6377089454731641], "optimization_time": 145.28281569480896} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.005064912194396915) q[0];
h q[1];
h q[2];
ry(0.9589973018286959) q[2];
h q[3];
ry(0.7378068905099483) q[3];
h q[4];
ry(0.7863653826074786) q[4];
cx q[1], q[4];
ry(-0.7863653826074786) q[4];
cx q[1], q[4];
ry(0.615145956876229) q[1];
cx q[4], q[1];
ry(-0.615... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5486) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIZZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-1,
-0.25,
-0.5,
1,
-0.5,
-0.25,
-0.25,
0,
0.25,
0.5,
0,
-0.25,
0
] | 0.964081 | [
1.5727307652149571,
1.230291913752458,
1.37517991160965,
0.01012982438879383,
1.1582819451599344,
1.4756137810198966,
1.9179946036573918,
0.08411732952884575,
-1.5908435587309175,
0.32570684555070145,
-1.2157163442926513,
0.9603941445078414,
-0.34705473550456495,
-0.11276548911115365,
1.... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
fb07af1988e388a806c2d5928c55bf3c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [36, 88], "expectation_value": -0.20426255831897694, "params": [[-0.0393], [0.046900000000000004]], "bitstrings": ["1011011", "0100111"], "total_optimization_steps": 10, "probabilities": [0.008312087480013667, 0.008370294064178782], "optimization_time": 1.9250662326812744} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0100111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.0682122118669546) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5606947156267987) q[1];
h q[2];
ry(1.5301944956337181) q[2];
cx q[2], q[0];
ry(-0.08407811923233591) q[0];
cx q[2], q[0];
ry(-0.027462489668114383) q[2];
h q[3];
ry(1.413337765839722) q[3];
h q[4];
ry(-1.56069471... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-2,
-2,
-0.5,
-1.5
] | 0.999155 | [
-1.5606947156267987,
-1.6010867127588195,
-1.4919965460132243,
1.5301944956337181,
1.413337765839722,
-0.10761504650325018,
0.16815623846467181,
0.19073456098497454,
-0.054924979336228766,
0.07066592166357748,
-0.036907762910935574,
0.03209225062044242,
-0.04744668660745453,
0.041762713312... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
e0b12a2c7bc741941f8e6751916ec58b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [1662, 2047], "expectation_value": -5.23866523560136, "params": [[0.0809], [-0.08660000000000001]], "bitstrings": ["00110000001", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0015639563251821755, 0.0016383742197248557], "optimization_time": 3.827988386154175} | -3.0 * (Z(0) @ Z(6)) + 1.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + -4.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(9)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(9)) + -2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(8) @ Z(6)) + 0.5 ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.5990711346252461) q[0];
cx q[6], q[0];
h q[7];
h q[8];
h q[9];
cx q[6], q[9];
rz(-0.35934203480299026) q[9];
cx q[6], q[9];
cx q[0], q[9];
cx q[6], q[1];
rz(-0.27748704574353666) q[1];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IZIIZIIIIII",
"IZIIIIIIIIZ",
"IIIIZIIIIZI",
"IZIIIIIIIZI",
"IIIIZIZIIII",
"IIIIIIZIIIZ",
"IZIIIIZIIII",
"IIIIIIZIIZI",
"IIIIZZIIIII",
"IZIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"IZZIIIIIIII",
"IIZIIIIIIZI",
"IIZIIIZIIII",
"IIZIIZIII... | [
-3,
1.5,
-2.5,
1,
0.5,
-4,
1,
-3.5,
-3,
1,
0.5,
-2,
-3,
-3.5,
0.5,
0.5,
-3,
1.5,
-3,
-3,
1,
-3,
0.5,
1,
0.5,
-3,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.534588 | [
-0.5990711346252461,
-0.35934203480299026,
-0.7729348980942637,
-0.27748704574353666,
-0.12755314017111585,
-0.4683875766740482,
-0.5147107319478891,
-0.8485107224764087,
-0.7236834369402876,
-0.9762208539151647
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 227 |
71bc29fb36488a293ce19bf05d480b6c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -5.84976899814019, "params": [[[0.42800000000000005, -0.2635], [0.3629, -0.3301], [0.4282, 0.2558], [0.41200000000000003, -0.2907], [0.9913000000000001, 0.0028], [0.9655, -0.0036000000000000003], [0.8622000000000001, -0.0002]], [[0.4193, 0.0043], [0.36060000000000003, 0.007], [0.... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.75,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
-0.5561918284302394,
1.2696012849732945,
-0.16936496001740498,
0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
-6567492544936906166 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 4, 7], [1, 2, 4], [8, 3, 4], [8, 5, 6, 7], [0, 1, 2, 6, 7, 8], [1, 5, 7], [0, 1, 4, 7], [3, 4, 6, 7], [1, 3], [8, 2, 5, 6], [0, 8, 4, 6], [2, 3, 7]]} | {"states": [382, 215], "expectation_value": -1.6698072345446542, "params": [[-0.3477], [0.3604]], "bitstrings": ["010000001", "100101000"], "total_optimization_steps": 40, "probabilities": [0.007888493323724079, 0.008196077992105593], "optimization_time": 5.621938467025757} | 0.2 * (Z(8) @ Z(0)) + 0.25 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(8)) + 0.2 * (Z(7) @ Z(0)) + 0.19999999999999998 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(4)) + 0.2833333333333333 * (Z(1) @ Z(7)) + 0.03333333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.116666666666668, "smallest_bitstrings": ["100101000"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[8];
rz(0.023227401422486908) q[8];
cx q[0], q[8];
cx q[0], q[4];
rz(0.018370037013916166) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(0.023227401422486908) q[7];
cx q[0], q[7];
cx q[0], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"IIIIZIIIZ",
"ZIIIZIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIZIII",
"IIIIZZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"ZIIZIIIII",
"... | [
0.2,
0.25,
0.3333333333333333,
0.2,
0.19999999999999998,
0.25,
0.11666666666666667,
0.03333333333333333,
0.25,
0.2833333333333333,
0.03333333333333333,
0.11666666666666667,
0.16666666666666666,
0.19999999999999998,
0.19999999999999998,
0.16666666666666666,
0.25,
0.25,
0.5,
0.16... | 0.97303 | [
0.023227401422486908,
0.018370037013916166,
0.027536139129365117,
-0.04250742885351516,
-0.04154292473066346,
-0.0019900334451512305,
0.019798329522964887,
-0.17335205491591923,
0.021948481161254044,
1.561800867273006,
-1.5604414496768224,
-1.222053273863755,
-1.432888603289409,
-1.2967035... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -3.166666666666668,
"target_ratio": 0.97,
"target_value": -3.0716666666666677
} | 114 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [49133, 47085], "expectation_value": -13.108673628504167, "params": [0.7765000000000001, 0.1041, 0.3403, 0.28340000000000004, 0.7878000000000001, 0.1318, 0.8116, 0.049300000000000004, 0.38330000000000003, 0.3216, 0.8053, -0.0083, 0.7668, 0.0629, 0.5794, 0.12000000000000001, 0.7608, 0.11080000000000001, 0.634... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 18 | 16 | 4 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"], "largest_eigenvalue": 56.00000000000006} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
3ec917cec0518de601e1392c2dcaa2e9 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [21929, 21930], "expectation_value": -1.70925581677239, "params": null, "bitstrings": ["1010101001010110", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12362649057166364, 0.2666170745679077], "optimization_time": 884.1840286254883} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00030... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.019008264462777], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0190082644627503, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0128099173552365} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.47958232633338166) q[0];
h q[1];
cx q[1], q[0];
ry(0.47958232633338166) q[0];
cx q[1], q[0];
ry(-0.3659490799794716) q[1];
cx q[0], q[1];
ry(0.3659490799794716) q[1];
cx q[0], q[1];
ry(0.6439891815013692) q[1];
ry(0.057138121241823825) q[0];
h q[2];
ry(-0... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5944) q[14], q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0006714876033057851,
0.0003099173553719008,
-0.0006714876033057851,
0.0003099173553719008,
0.25,
0.0003099173553719008,
-0.0009297520661157026,
-0.0008264462809917356,
0.0003099173553719008,
-0.0009297520661157026,
-0.0008264... | 0.970416 | [
-1.8332312396033952,
-1.1616710455559567,
-0.6815858531599063,
-1.012537211589953,
-0.9591646526667633,
-0.8025257577424897,
-0.20835971923947036,
-1.1686865260471542,
1.3803531618351859,
-0.571049351084144,
0.9202671123554468,
-0.7147116350732043,
0.7754467492477098,
-0.7318981599589433,
... | {
"n_parameters": 97,
"n_qubits": 16,
"optimal_eigenvalue": -2.019008264462777,
"target_ratio": 0.97,
"target_value": -1.9584380165288935
} | 112 |
90caccd5a9bc4a2ae486cd28f2a54684 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [355, 323], "expectation_value": -49.54958220972454, "params": [3.1445000000000003, 0.0039000000000000003, -0.0022, 0.0088, 3.1436, 0.0005, 1.471, 0.0011, 0.0024000000000000002, 0.0035, -0.0026000000000000003, 0.0063, 0.0024000000000000002, 0.0089, 3.1439000000000004, 0.0066, 3.144, 0.0078000000000000005, 0.... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 0.5 * Z(0) + -6.0 * Z(1) + 2.5 * Z(2) + -7.0 * Z(4) + -0... | 3 | 9 | 1 | {"smallest_eigenvalues": [-50.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.0, "smallest_bitstrings": ["010111100"], "largest_eigenvalue": 76.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.020582906481402506) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.020582906481402506) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.020582906481402506) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.020582906481402506) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"ZIIIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
0.5,
-6,
2.5,
-7,
-0.5,
0.5,
3,
-1.5,
-7.5
] | 0.970022 | [
-0.020582906481402506,
1.3349078355280608,
-0.4290584674428706,
-2.533473561690379,
-1.7041236227506031,
1.5211978007099474,
-1.5217753188258623,
-0.7462250508281225,
1.6316773768793364,
0.48049263034224793,
0.04173615621602083,
0.43936730841378935,
-1.0733627665097956,
0.9631690412671038,... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 59 |
3801215515983026246 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 7, 8, 9], [0, 3], [8, 4], [9, 5], [5, 6]]} | {"states": [527, 783], "expectation_value": -2.026283182953145, "params": null, "bitstrings": ["0111110000", "0011110000"], "total_optimization_steps": 98, "probabilities": [0.1507917006101025, 0.1534865770064059], "optimization_time": 182.15977120399475} | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(8) @ Z(2)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(7)) + 0.05 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(8)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2], "number_of_smallest_eigenvalues": 30, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["01010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14316797175038293) q[0];
rz(1.457948909881848) q[0];
rx(2.176710658589622) q[1];
rz(2.2740183021549143) q[1];
rx(0.16860642316842833) q[2];
rz(1.7368765684963305) q[2];
rx(1.7829052162851906) q[3];
rz(1.6988420129138966) q[3];
rx(0.4181867493221704) q[4];
rz(1.715... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(-1.0342) q[9], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = meas... | [
"IIIIIIIZZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZIIZ",
"IZIIIZIIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIZIII"... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.5,
0.5,
0.1,
0.1,
0.1,
0.09999999999999998,
0.09999999999999998,
0,
0,
0,
0,
0
] | 0.977425 | [
0.14316797175038296,
-0.1128474169130479,
2.176710658589622,
0.7032219753600184,
0.16860642316842833,
0.16608024170143426,
1.7829052162851906,
0.12804568611899983,
0.4181867493221705,
0.14483979241766343,
-0.5241921271377973,
0.09008135645699225,
2.15015184548095,
-0.19584888197323191,
1... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 154 |
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