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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d2afe27b0de0de0693309013bd4cb7f6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 115], "expectation_value": -20.487758249056753, "params": [[0.0252, 0.008400000000000001, -0.00030000000000000003], [-0.0539, -0.06420000000000001, -0.06860000000000001]], "bitstrings": ["10000100", "10001100"], "total_optimization_steps": 10, "probabilities": [0.011829552204311897, 0.01451807796527367... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 127.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6603319576342586) q[0];
rz(-pi) q[1];
ry(-3.09132270976154) q[1];
h q[2];
ry(-1.59277342892783) q[2];
h q[3];
ry(10.929252278696099) q[3];
h q[4];
rz(-pi) q[5];
ry(-3.0980243226886683) q[5];
rz(-pi) q[6];
ry(-1.4685334302306399) q[6];
cx q[3], q[6];
ry(-0.2... | 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5.5,
9.5,
15.5,
1,
11,
14,
12
] | 0.970121 | [
10.929252278696099,
-0.5854890024487437,
-15.870510362502078,
-2.371832064547635,
3.190282941504731,
0.5296199822347359,
-3.151836567617419,
33.118537899059916,
-1.59277342892783,
1.6603319576342586,
10.629557319388375,
3.048407594216927,
-37.408128681922456,
-0.017677031990097333,
-0.14... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -60.5,
"target_ratio": 0.97,
"target_value": -58.684999999999995
} | 63 |
3858556329495993786 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [1, 2], [1, 3], [0, 4]]} | {"states": [9, 22], "expectation_value": -0.04374967361884552, "params": [[0.0645], [-0.06910000000000001]], "bitstrings": ["10110", "01001"], "total_optimization_steps": 10, "probabilities": [0.03291610657798819, 0.03291610657798819], "optimization_time": 0.9895317554473877} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["11001", "11000", "10110", "01001", "00111", "00110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.6789027498264014) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.6789027498264014) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.6789027498264014) q[0];
cx q[3], q[0];
rz(-2.8260207063368625e-08) q[0];
rx(-0.6797837929276... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZZIII",
"ZIIIZ",
"IZIIZ",
"IZIZI",
"IIZZI",
"ZIIII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.633328 | [
0.6789027498264014,
-2.8260206993370597e-8,
-0.6797837929276856
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 104 |
019d3b704dd6266af057e50228ef8e80 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [224, 226], "expectation_value": -3.876510720832222, "params": [1.5076, -0.004, 1.5072, 0.001, 1.5123, 0.0037, 0.23950000000000002, 0.0036000000000000003, 0.2916, 0.261, 0.7904, 0.0032, 1.5110000000000001, 0.0037, 0.22970000000000002, 0.0086, 1.4917, 1.4898, -1.466, -0.2546, 0.9800000000000001, -0.8145, 1.47... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(7) + -1.0 * Z(4) + 0.0 * Z(... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00011101"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.828832810181364) q[0];
rz(1.451724840284209) q[0];
rx(1.8785396857026198) q[1];
rz(1.6092198037314294) q[1];
rx(-2.96415629454745) q[2];
rz(1.7043086061190955) q[2];
rx(-0.026067403306018633) q[3];
rz(0.8502193941339549) q[3];
rx(0.22918529402692697) q[4];
rz(1.579... | 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": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIZZIII",
"IIIZIIZI",
"IIIIZZII",
"ZIIIIZII",
"IZZIIIII",
"IZIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII"
] | [
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,
-1,
-1.5,
-1,
0,
-0.5,
-0.5
] | 0.977977 | [
1.8288328101813642,
-0.11907148651068726,
1.8785396857026198,
0.038423476936532634,
3.3190290126321362,
0.13351227932419887,
-0.02606740330601863,
-0.7205769326609408,
0.22918529402692692,
0.008496736573391839,
0.586489368699308,
0.08302078910854763,
2.787696059480978,
-0.17306424761290218... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 17 |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 30], "expectation_value": -3.9998990634532334, "params": null, "bitstrings": ["100010", "100001"], "total_optimization_steps": 25, "probabilities": [1.641445737550844e-05, 0.9999303761353144], "optimization_time": 17.1452419757843} | 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(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | 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... | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
0,
0
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
9115919578730875140 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10, 11, 5], [3, 11, 4, 6], [1, 2, 6], [6, 7], [8, 1, 2, 10], [9, 3, 7], [0, 1, 11], [8, 2, 3, 7], [0, 10, 4], [1, 4, 5], [0, 8, 5], [2, 4, 7], [3, 4, 7], [0, 2, 5], [9, 10, 3, 6], [0, 9, 2, 4], [8, 9, 3, 5], [8, 1, 4], [2, 11], [8, 9, 4], [2, 10, 3], ... | {"states": [4070, 4068], "expectation_value": -5.2897472362776465, "params": [[[2.2206, 0.0002], [2.7871, 0.0085], [2.7350000000000003, 0.0028], [2.7983000000000002, 0.0017000000000000001], [2.7825, 0.0017000000000000001], [2.7593, 0.0034000000000000002], [2.2106, 0.0004], [0.9706, 0.0027], [1.4606000000000001, 0.0015]... | 0.25 * (Z(9) @ Z(10)) + 0.08333333333333333 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(11) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.3333333333333333 * (Z(5) @ Z(11)) + 0.5 * (Z(3) @ Z(10)) + 0.49999999999999994 * (Z(3) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(11)) + 0.4... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.333333333333335, "smallest_bitstrings": ["000000011011"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.9724268153727618) q[0];
rz(0.35141589363369974) q[0];
rx(3.0763488174101696) q[1];
rz(0.6528621575029557) q[1];
rx(3.0002373017344737) q[2];
rz(0.14524075163126685) q[2];
rx(3.0025580488077104) q[3];
rz(-0.7776059000744884) q[3];
rx(3.2392036057336346) 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[... | null | {"circuits": [], "gradients": []} | [
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIIZIIIII",
"ZIIIIIZIIIII",
"IZIIIIIIZIII",
"IIZIIIIIZIII",
"ZIIIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIZIIII",
"IIZIIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIIIZZIII",
"IZIIIZIIIIII",
"IIZIIZIIIIII",
"ZIIIIZIII... | [
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.49999999999999994,
0.3333333333333333,
0.41666666666666663,
0.3333333333333333,
0.25,
0.16666666666666666,
0.3333333333333333,
0.5,
0.08333333333333333,
0.083333333333... | 0.972679 | [
2.9724268153727618,
0.35141589363369974,
3.0763488174101696,
0.6528621575029557,
3.0002373017344737,
0.14524075163126685,
3.0025580488077104,
-0.7776059000744884,
3.2392036057336346,
2.942712184093844,
-0.7618153207800231,
2.7069101179728032,
0.042505257165983745,
-0.15610223802789966,
-... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -7.916666666666667,
"target_ratio": 0.97,
"target_value": -7.679166666666667
} | 18 |
dd120ab3488feb158ebf53f7278aa3b4 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 1, "target": 5}, {"sour... | {"states": [30, 286], "expectation_value": -3.919949050467234, "params": [0.29300000000000004, 0.2859, 0.0873, 0.0915, 0.0026000000000000003, -0.0046, 0.0557, 0.0572, 0.2973, 0.3008, 0.2994, 0.304, 0.3018, 0.3053, 0.29710000000000003, 0.3057, -0.0012000000000000001, -0.0067, 0.2868, 0.2868, 0.0879, 0.0835, 0.0008, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(8) + -0.5 * Z(7) + -0.5 * Z... | 13 | 9 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["011100001"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.1441985847489415) q[0];
rz(1.6850169425040322) q[0];
rx(0.7052046844135997) q[1];
rz(1.4762798216536996) q[1];
rx(-0.06459378771651454) q[2];
rz(1.3968127682216664) q[2];
rx(-0.5291428928269419) q[3];
rz(1.6370586750195457) q[3];
rx(1.0425509505130048) q[4];
rz(1.6... | 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII"
] | [
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,
-1,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.972382 | [
2.1441985847489415,
0.11422061570913586,
0.7052046844135998,
-0.09451650514119705,
-0.06459378771651453,
-0.17398355857323006,
-0.529142892826942,
0.06626234822464933,
1.0425509505130048,
1.4914988369612348,
0.09207013762796672,
0.9128321565368347,
1.6960299616859371,
-0.09918291469243753,... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 95 |
2133bfe2f16c389d56b638843cb4baa9 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [88, 112], "expectation_value": -1.1007176107659364, "params": [[0.0796, 0.07490000000000001], [-0.0835, -0.07150000000000001]], "bitstrings": ["0100111", "0001111"], "total_optimization_steps": 10, "probabilities": [0.011981902060629839, 0.012965978537131415], "optimization_time": 3.550212860107422} | 0.5 * (Z(0) @ 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(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(6) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001111", "0100111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.6938330333533728) q[0];
rz(0.04340559251346532) q[0];
rx(1.6190866722227788) q[1];
rz(0.21822482084000655) q[1];
rx(0.07953552909807407) q[2];
rz(0.21033886300905133) q[2];
rx(0.12141305027050656) q[3];
rz(-0.14075848719450382) q[3];
rx(1.8353493747793987) 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] 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"ZIIIZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII"
] | [
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,
-1.5,
-2,
-1.5,
-0.5,
-0.5
] | 0.977452 | [
0.6938330333533727,
0.10444868899735549,
1.6190866722227788,
0.21822482084000655,
0.07953552909807407,
0.21033886300905133,
0.12141305027050656,
-0.14075848719450382,
1.8353493747793987,
-0.03682289945513749,
1.0826367777520747,
-0.06294569381583645,
1.851622855274523,
0.24598983421835321,... | {
"n_parameters": 67,
"n_qubits": 12,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 61 |
db0291c52424c8e60b1358129bc39ad9 | 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": 7}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target":... | {"states": [561, 817], "expectation_value": -3.3908145479771723, "params": [1.1029, 1.0993, 0.8510000000000001, 0.8561000000000001, -0.0047, -0.0007, 0.5198, 0.4824, 1.093, 1.0871, 1.1062, 1.1053, 0.24430000000000002, 0.2406, -0.0013000000000000002, -0.0061, 0.4898, 0.48810000000000003, 1.0854000000000001, 1.0852, -0.0... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(6) + -1.0 * Z(2) + -0.5 * Z(8) + -0.5 * Z(3) + 0.0... | 13 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001101", "0011001110", "0101010110", "0101001110", "1101010010", "0010101110", "0010101101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5765302010796463) q[0];
rz(0.12090815922481554) q[0];
ry(1.6956960480220968) q[1];
ry(-0.03310450529919487) q[2];
ry(0.007420433173890628) q[3];
ry(1.7873253177548156) q[4];
ry(1.7832967020047326) q[5];
ry(0.28881804939153644) q[6];
ry(0.11004362900864398) q[7];
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[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIIZIIIIZI",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIZIZIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIIIZII",
"IZIIIIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"ZIIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.972931 | [
1.5765302010796463,
1.6956960480220968,
-0.03310450529919487,
0.007420433173890628,
1.7873253177548156,
1.7832967020047326,
0.28881804939153644,
0.11004362900864398,
0.03226931449050341,
1.3951936813464414,
0.24181631844963108,
0.5306743018850446,
0.23906536322723212,
-0.8058833990720188,
... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 20 |
1d90f6c59bdc244a93b2d39d285f8ffc | 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}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 3}, {"weight": 1, "source... | {"states": [198, 214], "expectation_value": -37.86921302769991, "params": null, "bitstrings": ["100111001", "100101001"], "total_optimization_steps": 100, "probabilities": [0.08535207575818739, 0.2148585023501647], "optimization_time": 187.95867443084717} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.0 * Z(2) + 0.5 * Z(3) + 9.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 137.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.11384371007113302) q[0];
ry(-1.5125674315360826) q[1];
rz(-pi) q[1];
h q[2];
ry(39.261971138219806) q[2];
cx q[2], q[1];
ry(17.744125257816545) q[1];
cx q[2], q[1];
ry(30.486063684922097) q[1];
ry(-2.505625950584892) q[3];
rz(-pi) q[3];
ry(-1.3245485124425... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"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(9.9081) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
1.5,
14,
0.5,
9,
6,
12.5,
11,
3.5
] | 0.97089 | [
11.402711055378145,
39.261971138219806,
-35.48825051563309,
38.13236552321641,
17.063468629428158,
-29.951360821150377,
60.972127369844195,
4.328633652998325,
9.495316205427365,
0.5248788916778353,
0.8199014642243193,
0.2660278038391247,
-0.22768742014226603,
-4.813853568709097,
-0.06522... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -84.5,
"target_ratio": 0.97,
"target_value": -81.965
} | 178 |
c835fa1e3e69cb531a622e34cffeb2bc | matching | 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": [219, 218], "expectation_value": -77.63739956595053, "params": [0.48960000000000004, -0.502, 1.4927000000000001, -0.0021000000000000003, 1.4991, -0.14830000000000002, 0.6445000000000001, -0.42000000000000004, 1.4908000000000001, -0.0024000000000000002, 1.4955, -0.1841, 0.46030000000000004, -0.4859, 1.4967000... | 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) ... | 18 | 9 | 2 | {"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... | 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": []} | [
"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 |
d78f7556e7639886d17f02ad3944a31a | 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": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [448, 451], "expectation_value": -1.595934453242942, "params": [[0.0766], [-0.0845]], "bitstrings": ["000111111", "000111100"], "total_optimization_steps": 10, "probabilities": [0.0032081268649617385, 0.0033673285586248744], "optimization_time": 1.5645623207092285} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05874846667619159) q[0];
rz(1.9938695320304731) q[0];
rx(0.29855314565580754) q[1];
rz(-2.706525495615969) q[1];
rx(0.8586485872377975) q[2];
rz(2.2057165673183015) q[2];
rx(-0.007408008823412165) q[3];
rz(2.6264064151643502) q[3];
rx(-0.16417141447225342) q[4];
rz... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] | 0.970667 | [
0.05874846667619159,
0.4230732052355772,
0.2985531456558076,
2.005863484768721,
0.8586485872377975,
0.6349202405234045,
-0.0074080088234121655,
1.0556100883694532,
-0.1641714144722534,
0.40538719110291965,
0.40044468149668,
0.7834637422395953,
-0.27756347602056,
0.5299736123246076,
0.367... | {
"n_parameters": 88,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 186 |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | adaptive_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": [250, 239], "expectation_value": -12.024010549435326, "params": null, "bitstrings": ["100000101", "100010000"], "total_optimization_steps": 100, "probabilities": [0.14247663162315644, 0.539232571404101], "optimization_time": 304.9671366214752} | 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) ... | 1 | 9 | 2 | {"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], ... | null | {"source": 0, "sink": 4} | {"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(0.4397) 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] = m... | [
"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 |
e58428a6900eb2eef0cb4731fd8b4a99 | 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": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [45, 1], "expectation_value": -1.6369929238763579, "params": [[-0.0296, -0.0233, -0.048600000000000004, -0.0367], [0.0446, 0.012700000000000001, 0.0489, 0.0454]], "bitstrings": ["1010010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015133758912418159, 0.01643500676603955], "optimization_... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1011110", "1010010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.690944416721413) q[0];
ry(0.054699542645833876) q[0];
rz(-1.1769404323163797) q[0];
rz(-2.3881872169052443) q[1];
ry(0.20723270974804353) q[1];
rz(-2.857031240934929) q[1];
rz(-2.4596888100774237) q[2];
ry(0.14080968323527931) q[2];
rz(-2.993631691840007) q[2];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.75,
2.5,
-0.75,
-0.75,
-0.25,
-0.5,
1.5,
-0.25,
-0.75,
-2.5,
1.75,
0.25,
0
] | 0.989705 | [
-0.022892677441185116,
0.2110669709326137,
-0.27094094257024,
0.6131998797071878,
-0.20111098885694167,
0.503350945250638,
0.020546732618873385,
0.3028834781091834,
0.2617247912178288,
0.41607371001171256,
-0.16363397257810378,
0.563891452430853,
0.8878830733377374,
-0.0634222979567583,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 9 |
6172ec2f30329f156b64312801e66ef4 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [37, 47], "expectation_value": -3.389274229662997, "params": [[-0.0658, -0.0695, -0.068, -0.0536], [0.0724, 0.0709, 0.0703, 0.0655]], "bitstrings": ["1011010", "1010000"], "total_optimization_steps": 10, "probabilities": [0.025178850204794916, 0.028484158328147168], "optimization_time": 4.7090466022491455} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) 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": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [411, 413], "expectation_value": -5.710684425785294, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741882, 0.8578073217068282], "optimization_time": 116.16014313697815} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 2 | {"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": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"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(1.5681) 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[6] = m... | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
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
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
8247951646644495363 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11], [10, 3], [9, 3], [8, 2, 7], [4, 5], [0, 9, 5], [9, 10, 4], [0, 11, 4], [1, 3], [1, 5], [8, 10, 6], [0, 1, 10], [9, 4, 1, 7], [11, 7], [2, 11], [0, 2, 5], [0, 10, 11, 5], [2, 3], [8, 3, 4, 6], [8, 1, 9, 7], [8, 1, 11, 4], [8, 9, 1, 0], [3, 7], [9,... | {"states": [3767, 3751], "expectation_value": -3.436284683263028, "params": [2.298, 0.0035, 2.2977000000000003, 0.0008, 2.3012, 0.005200000000000001, 1.26, 0.0045000000000000005, 2.2928, 0.003, 0.9552, 0.006, 2.2969, 0.0063, 1.4924000000000002, 0.0048000000000000004, 1.4918, 0.0036000000000000003, 2.2995, 0.0022, 2.298... | 0.5 * (Z(11) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(11)) + 0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(10) @ Z(11)) + 0.16666666666666666 * (Z(10) @ Z(2)) + 0.08333333333333333 * (Z(10) @ Z(5)) + 0.5 * (Z(4) @ Z(3)... | 16 | 12 | 1 | {"smallest_eigenvalues": [-8.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.750000000000001, "smallest_bitstrings": ["000101011000"], "largest_eigenvalue": 21.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.045572027275017) q[0];
rz(0.19877338805654698) q[0];
rx(3.1764199433717337) q[1];
rz(0.029570236701389425) q[1];
cx q[1], q[0];
rz(-0.2687266085999808) q[0];
cx q[1], q[0];
rz(-0.23788138439363707) q[1];
rx(2.975406890641672) q[2];
rz(-0.3219832060775074) q[2];
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[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZIII",
"IIIIIIIIZZII",
"ZIIIIIIIIZII",
"ZIIIIIZIIIII",
"IIIIIIZIIZII",
"IZIIIIIIZIII",
"ZZIIIIIIIIII",
"IZIIIIIIIZII",
"IZIIIIZIIIII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IZIIIIIZIIII",
"IIZIIIIIZIII",
"ZIZIIIIIIIII",
"IIZIIIIIIZII",
"IIZIIIZIIIII",
"IZZIIIIII... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.5,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.08333333333333333,
0.5,
0.25,
0.25,
0.25,
0.25,
0.1666... | 0.982726 | [
3.23761327990457,
-0.06995322054343373,
3.1764199433717337,
0.029570236701389425,
2.975406890641672,
-0.07498322547515696,
-0.22351311728132578,
-0.27425018439293447,
3.200755873953699,
0.5374532171999616,
-0.19308027108675083,
-1.1551221706301729,
3.1527434263943106,
-0.5915572536616238,
... | {
"n_parameters": 29,
"n_qubits": 12,
"optimal_eigenvalue": -8.083333333333334,
"target_ratio": 0.97,
"target_value": -7.840833333333333
} | 31 |
31bcee1b066a63f64c6901bb1e1b69cb | vertex_cover | qaoa | {"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": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.5840998736986109, "params": [[-0.054900000000000004, -0.0426, -0.0618, -0.0734], [0.07100000000000001, 0.055400000000000005, 0.0585, 0.0669]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.028273234086013576, 0.029187866400318892], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
3687685335413553432 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [8, 5], [1, 6], [4, 7], [8, 3], [4, 6], [1, 3], [1, 2], [2, 5], [3, 6], [0, 3], [8, 7], [2, 6], [0, 1], [3, 7], [2, 3], [0, 6]]} | {"states": [184, 327], "expectation_value": -0.03798953741607595, "params": [[0.0316], [-0.0356]], "bitstrings": ["101000111", "010111000"], "total_optimization_steps": 10, "probabilities": [0.0020329861214857603, 0.0020329861214857603], "optimization_time": 3.857663631439209} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["101000111", "010111000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(0.032518780714972995) q[1];
cx q[0], q[1];
ry(-0.032518780714972995) q[1];
cx q[0], q[1];
ry(-0.009053126578961688) q[1];
ry(0.7185833940377896) q[0];
h q[2];
ry(0.2984799408148926) q[2];
h q[3];
ry(-0.057302357798752625) q[3];
h q[4];
ry(-0.199434712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];... | null | {"circuits": [], "gradients": []} | [
"IZIZIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IIZIZIIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"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,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976299 | [
-0.11460471559750525,
0.5969598816297852,
0.16853990422227405,
-0.39886942466915604,
1.4724998211120894,
0.06503756142994599,
1.4357772358509442,
1.4371667880755792,
-0.018106253157923375,
0.216472886809111,
1.9394287068133282,
-1.408949504838821,
-1.4785748066514142,
-0.36443479862908895,... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 194 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"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}, {"source": ... | {"states": [10, 3], "expectation_value": -6.489793766128954, "params": [[0.061200000000000004, 0.046700000000000005], [-0.0658, -0.07830000000000001]], "bitstrings": ["110101", "111100"], "total_optimization_steps": 10, "probabilities": [0.03273558523716404, 0.03345632492728007], "optimization_time": 3.4525256156921387... | 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)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) 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] 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... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
-5.75,
-6.25,
-6,
-6,
-5.5,
-5.5
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
9c3f86affe867d86b1a933450f0ead98 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 1], "expectation_value": -37.84902021339052, "params": [[[-0.001, -0.4788], [0.0035, 0.4838], [0.001, -0.5179], [0.0028, 0.37220000000000003], [-0.016800000000000002, 0.3619], [0.805, 0.0036000000000000003]], [[-0.0007, 0.007], [0.0037, 0.0043], [0.001, 0.004], [0.0048000000000000004, 0.0064], [-0.0134, ... | 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(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 6 | 2 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08159444532943627) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08159444532943627) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08159444532943627) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08159444532943627) q[3];
cx q[1], 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] | 0.972546 | [
0.08159444532943627,
0.316411072313747,
1.4274685730664627,
1.5697177918156073,
0.6556767612910719,
0.5389446975291273,
-0.02784567768025009,
-0.5301187784688065,
0.4226894690015448,
0.20765044488818968,
-0.5369605142119381,
0.8276321080557579,
-0.20067121769985835,
0.021804244236934816,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -40.25,
"target_ratio": 0.97,
"target_value": -39.0425
} | 59 |
a65a8f132e9e11ca587f1073a44b14e3 | 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": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [17, 1], "expectation_value": -1.8381393251117313, "params": [[-0.0291, -0.051800000000000006, -0.0707], [-0.010400000000000001, 0.0528, 0.06520000000000001]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0050639187745119794, 0.0056558145366157105], "optimizat... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 1 | 9 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7576989536039568) q[0];
ry(-0.02769920467597297) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.9709349169544848) q[2];
h q[3];
ry(-1.5153979072079136) q[3];
ry(-1.570792075828601) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5153979072079136) q[5];
h q[6];
ry(-1.5153979072... | 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",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIZIIZIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIZIZIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIZZII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIZIII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.75,
-0.25,
-1.25,
-0.5,
-1.5,
-0.75,
-1.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
1.75,
-0.5,
-1.5,
-0.25,
0.5,
-1,
0.75,
0.5,
1.25,
-1.5,
1.25
] | 0.955061 | [
-1.5153979072079136,
1.5707962630942358,
-0.8130973016131445,
-3.5126661492229454,
1.5707877049182808,
-3.141583911769153,
1.9418698109471277,
-0.05539842982202022,
-2.0157038444357187e-7,
1.941869868714013
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 401 |
6eeafc1802cd635d6723c166bcb76122 | min_cut | adaptive_vqe | {"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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [43, 59], "expectation_value": -3.964702267258178, "params": null, "bitstrings": ["1010100", "1000100"], "total_optimization_steps": 31, "probabilities": [0.21434492943477582, 0.21434666737942695], "optimization_time": 26.18966770172119} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010110", "1111100", "1010100", "1000110", "1000100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.09205925177352985) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.5301334911355412) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.09205925177352985) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(... | null | {"source": 0, "sink": 6} | {"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(-1.5706) 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] = measure q[6];\n", ... | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"IIIIZZI",
"IIIZIZI",
"IZZIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1.25,
-0.25,
0.5,
0,
0.75,
-0.25,
0.5
] | 0.61096 | [
-0.09205925177352985,
0.5301334911355412,
1.806811952172955,
-0.1326422811675516,
-1.3890424453927883,
-0.8579735972691735,
1.1466644722968449,
-1.278835031274433
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 241 |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | qaoa | {"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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 21], "expectation_value": -0.4933690773990954, "params": [[-0.054700000000000006, -0.052000000000000005, -0.0205], [0.0732, 0.0651, 0.0489]], "bitstrings": ["010110", "101010"], "total_optimization_steps": 10, "probabilities": [0.021301679550654613, 0.022170187359693557], "optimization_time": 5.01895070... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
0
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
184be31d5cef7a0df96adb60f009b8f5 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [102, 25], "expectation_value": -0.2995314664601054, "params": [[-0.0762], [0.07740000000000001]], "bitstrings": ["0011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.009155916873087044, 0.009419529822446388], "optimization_time": 1.4660978317260742} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "1100110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.511712744486858) q[0];
h q[1];
ry(-0.49471069376631144) q[1];
h q[2];
cx q[2], q[1];
ry(0.49471069376631144) q[1];
cx q[2], q[1];
ry(-0.6936347221829589) q[1];
ry(1.0009674514056612) q[2];
h q[3];
ry(1.5013838288438324) q[3];
cx q[3], q[2];
ry(-0.299297876... | 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[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5,
0
] | 0.994527 | [
-1.511712744486858,
-1.6447834892120756,
-1.5273305942628348,
1.5013838288438324,
1.4417536248617866,
-0.9894213875326229,
0.7016695747878551,
-0.5049361799190388,
0.598595753235612,
-0.3773970845278402,
0.15889937565015966,
-0.04416035628984544,
-0.19694947548304464,
0.20522778123686816,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
cf866b0685f0f2b92fc41e952765f334 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [19, 23], "expectation_value": -6.019739407722276, "params": [-1.0261, 0.1222, 0.8907, 0.0054, 0.0036000000000000003, -1.2764, 0.0006000000000000001, 0.0038, -0.9221, 0.1322, -1.6879000000000002, 0.0037, -0.0054, 1.6887, 0.0029000000000000002, 0.0081, -0.653, 1.0038, -0.6599, 0.008, 0.3793, 0.1316, 2.6045000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 6 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4389876603721047) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.3936411233317491) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.4389876603721047) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.4389876603721047) q[2];
cx q[3], q[2];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIIZZI",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IIZIZII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.75,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
0.25,
-0.5,
1
] | 0.619308 | [
0.4389876603721047,
0.3936411233317491,
-0.9640592261572137,
0.3473169744588019,
0.9763395609882711,
-0.671208939863871,
-0.6920954321912673,
0.9887089718505631
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 188 |
2106018384834704977 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [8, 2, 5], [8, 1], [1, 4, 5], [2, 7], [0, 8, 2], [5, 7], [8, 0, 3], [5, 6], [1, 4, 7], [3, 4, 5], [8, 4], [2, 3], [3, 6], [8, 6, 7], [0, 1]]} | {"states": [299, 171], "expectation_value": -4.128523496472215, "params": null, "bitstrings": ["011010100", "101010100"], "total_optimization_steps": 65, "probabilities": [0.06689885473027052, 0.7804043471249548], "optimization_time": 144.08173751831055} | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.16666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333353, "smallest_bitstrings": ["101010100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5540014643461433) q[0];
h q[1];
ry(-0.13722477716288234) q[1];
h q[2];
cx q[2], q[1];
ry(0.13722477716288234) q[1];
cx q[2], q[1];
ry(0.9656817685488954) q[1];
cx q[1], q[0];
ry(0.5540014643461433) q[0];
cx q[1], q[0];
ry(-0.30760248233481646) q[2];
ry(0.3... | 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];\nry(1.5298) 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[6] = m... | [
"IIIIIIZZI",
"ZIIIIIZII",
"ZIIIIIIZI",
"IIIZIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIZZII",
"ZIIIIZIII",
"IIIZIZIII",
"IIIIZZIII",
"... | [
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.1666666666666666... | 0.972468 | [
1.5319272356586413,
-0.2744495543257647,
1.6805627238543357,
-1.4034669230674766,
1.471704752002495,
-1.4324435646668128,
-0.6152049646696329,
0.9656817685488954,
-1.1080029286922866,
-0.4015963594738603,
0.7158163766392522,
0.6538537655819346,
-0.6045969623174505,
0.10785911906922109,
0... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -4.499999999999998,
"target_ratio": 0.97,
"target_value": -4.364999999999998
} | 19 |
3d599008e6d247101eb02503201a8a05 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [97, 357], "expectation_value": -5.891905680897106, "params": [[-0.1375, -0.029400000000000003], [0.17370000000000002, 0.1585]], "bitstrings": ["111110011110", "111010011010"], "total_optimization_steps": 20, "probabilities": [0.0015486615734980763, 0.0015486615734980763], "optimization_time": 13.60376143455... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | 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": []} | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-0.5,
-0.5,
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,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
6336609996167850047 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [1, 2, 4, 5, 6, 8, 10], [1, 2, 3, 4, 5, 6, 10], [0, 2, 4, 5, 6, 7, 8, 10], [1, 2, 3, 4, 5, 7, 8, 10], [3, 4, 5, 8, 9, 10], [0, 1, 2, 5, 6, 8, 9], [0, 2, 3, 5, 6, 9, 10], [0, 3, 4, 5, 6, 7, 9, 10]]} | {"states": [1941, 1973], "expectation_value": -1.397041103089688, "params": [1.7095, 0.0082, 2.8879, 0.0018000000000000002, 3.1391, 0.0077, 3.1584000000000003, 0.0026000000000000003, 0.9825, 0.0043, 1.5882, 0.0037, 3.1453, 0.0036000000000000003, 1.0039, 0.0098, 3.1584000000000003, 0.008400000000000001, 1.0328, 0.0051, ... | 0.03492063492063492 * (Z(0) @ Z(1)) + 0.1003968253968254 * (Z(3) @ Z(1)) + 0.07658730158730159 * (Z(3) @ Z(0)) + 0.05277777777777778 * (Z(4) @ Z(1)) + 0.05277777777777778 * (Z(4) @ Z(0)) + 0.07658730158730159 * (Z(4) @ Z(3)) + 0.07658730158730159 * (Z(5) @ Z(1)) + 0.046825396825396826 * (Z(5) @ Z(0)) + 0.09444444444444... | 16 | 11 | 1 | {"smallest_eigenvalues": [-1.6642857142857146], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6642857142857141, "smallest_bitstrings": ["00001001010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.4013466281349665) q[0];
rz(0.16810031687814675) q[0];
rx(2.9506991075199824) q[1];
rz(0.0492665444852006) q[1];
cx q[1], q[0];
rz(0.01972804247088239) q[0];
cx q[1], q[0];
rz(0.2572978305929901) q[1];
rx(3.029841533671468) q[2];
rz(-0.040427766418715816) q[2];
rx(... | 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",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIZII... | [
0.03492063492063492,
0.1003968253968254,
0.07658730158730159,
0.05277777777777778,
0.05277777777777778,
0.07658730158730159,
0.07658730158730159,
0.046825396825396826,
0.09444444444444444,
0.10396825396825396,
0.08253968253968254,
0.09444444444444444,
0.12420634920634921,
0.076587301587301... | 0.970331 | [
2.4013466281349665,
0.18782835934902925,
2.9506991075199824,
0.0492665444852006,
3.029841533671468,
-0.10256023135215055,
2.788373496694034,
-0.17185704348662023,
-0.054463011722534205,
0.32591331507202664,
2.8720911185757663,
0.10761439423500868,
3.194287696996227,
-0.0340789389540601,
... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -1.6642857142857146,
"target_ratio": 0.97,
"target_value": -1.614357142857143
} | 16 |
267f594e5cb21532a1a860c7d4e0717d | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [27, 53], "expectation_value": -0.9883107234794155, "params": [[0.0757, 0.0758, 0.08020000000000001], [-0.0711, -0.0724, -0.0784]], "bitstrings": ["1100100", "1001010"], "total_optimization_steps": 10, "probabilities": [0.01616139225819397, 0.017131605030438], "optimization_time": 4.243215560913086} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100", "1001010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.24748745819808826) q[0];
rz(-0.17713756506993983) q[0];
rx(-0.1790047299186118) q[1];
rz(0.10654864048877083) q[1];
cx q[1], q[0];
rz(0.011708463917440626) q[0];
cx q[1], q[0];
rz(1.4748675647452902) q[0];
ry(1.210001108655402) q[0];
rz(-1.8286665049021005) q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIZZIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
0,
-1,
0,
-0.5,
-0.5
] | 0.970926 | [
0.2474874581980883,
-0.1654291011524992,
-0.1790047299186118,
0.10654864048877083,
0.6162612157337666,
0.002052278197618773,
-0.04559442540123893,
0.3771343868759495,
0.43625683568421697,
0.17681883646965665,
0.0163352835731005,
-0.04645655951074808,
-0.033049571212274566,
0.22684970955432... | {
"n_parameters": 138,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 9 |
c5211bad50b928e7b2cd71a45947d261 | 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": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 6}, {"weight": 6, "source": 2, "targ... | {"states": [222, 220], "expectation_value": -4.350692633794465, "params": [[-0.029500000000000002], [0.0216]], "bitstrings": ["100100001", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0023771121005388834, 0.0024917011149357578], "optimization_time": 2.2030863761901855} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 189.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05158763210986543) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.05158763210986543) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.05158763210986543) q[2];
cx q[0], q[2];
rz(-0.025670045257859098) q[0];
rx(0.2174955030065558) q[0];
h ... | 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\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"... | [
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,
4.5,
15.5,
4,
19,
19,
7.5,
17.5,
27,
-2,
10
] | 0.971395 | [
-0.05158763210986543,
-0.05276727579868179,
-0.02567004525785946,
1.3880542914463816,
-0.20108841360191268,
1.3172319871880824,
0.8443518997675575,
0.2656465650956471,
-0.8000269395917592,
0.21749550300655576,
-0.05167716937010963,
0.5699853713624246,
-0.5721176716655902,
0.564232575406183... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 76 |
f8645113517905e1df1749520352d679 | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [351, 220], "expectation_value": -33.770427835155814, "params": null, "bitstrings": ["010100000", "100100011"], "total_optimization_steps": 100, "probabilities": [0.0903789040445417, 0.3121445371268592], "optimization_time": 165.46913623809814} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) q[3];
cx q[4]... | null | {"matching": "maximum", "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(7.7632) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [88, 105], "expectation_value": -0.08859787839710258, "params": [[-0.0844], [0.077]], "bitstrings": ["0100111", "0010110"], "total_optimization_steps": 10, "probabilities": [0.008730865362769756, 0.009151973706365037], "optimization_time": 2.1084210872650146} | 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(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | 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[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
26d7f56e59bfdf48052023802b40605b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 5], "expectation_value": -0.01586111485464643, "params": [[0.0414], [-0.0335]], "bitstrings": ["10110", "11010"], "total_optimization_steps": 10, "probabilities": [0.031857994242122524, 0.031857994242122545], "optimization_time": 1.4195189476013184} | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"], "largest_eigenvalue": 4.5} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x1) q[0];
cx q[1], q[0];
cx q[4], q[0];... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"IIIZZ",
"ZIIIZ",
"ZIIZI",
"ZIIZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
0
] | 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 |
534a2afed02f04b79d33a0d59bb0fb50 | 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": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"sour... | {"states": [210, 211], "expectation_value": -4.540616123880812, "params": [[[-0.0022, 0.5472, 0.0068000000000000005, 0.0083], [0.0114, 0.0925, 0.013900000000000001, 0.0039000000000000003], [0.9855, 0.0037, 0.0097, 0.0044], [0.0026000000000000003, -0.5708, 0.0024000000000000002, 0.0002], [1.0073, 0.005, 0.0074, 0.0027],... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + -1.5 * Z(6) + 0.0 * Z(2) + 0.0 * Z(8) + -1.0... | 12 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["100101100", "000101110", "000110110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.08897862068983131) q[0];
rz(0.5109647075182605) q[0];
ry(-0.15501097506353792) q[1];
rz(0.29597336190287105) q[1];
cz q[1], q[0];
ry(0.09352227878106893) q[0];
rz(-0.009226826433405597) q[0];
ry(0.11924986776320128) q[1];
ry(1.6357002146822999) q[2];
rz(-0.0147555... | 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": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IZZIIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"ZIIIIZIII",
"IZIZIIIII",
"IIZZIIIII",
"IIIZZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-0.5,
-1.5,
0,
0,
-1,
0
] | 0.970263 | [
-0.08897862068983131,
0.5109647075182605,
-0.15501097506353792,
0.29597336190287105,
1.6357002146822999,
-0.014755569112540917,
0.007603316418835802,
-0.511615395246736,
1.4309041308629216,
-0.05083504517980353,
0.03256463609028892,
-0.05039053095636073,
0.06835955310051554,
-0.46513320529... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
a95dd18a873671a30a757f426a8fa77a | 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": 8}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4, "source... | {"states": [410, 218], "expectation_value": -8.158605853566325, "params": [[-0.053200000000000004], [0.07300000000000001]], "bitstrings": ["001100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0044241739579024405, 0.005069065046977485], "optimization_time": 1.812147617340088} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 7.5 * Z(2) + 1.5 * Z(0) + 18.5 * Z(1) + 5.5 * Z(4) + 2.0 * Z(3) + 9.5 * Z(5) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 121.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.5948889478730892e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-1.5948889478730892e-08) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-1.5948889478730892e-08) q[1];
cx q[0], q[1];
rz(1.5707962461523506) q[0];
rx(pi/2) q[0];
rz(-1.5707... | 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
7.5,
1.5,
18.5,
5.5,
2,
9.5,
5.5,
13.5,
3
] | 0.765161 | [
-1.5948889478730892e-8,
-1.5707962981597348,
1.57079624615235,
-1.5707963263614553,
-0.6435011059679903,
1.5707963957975994,
-1.570796282924093,
-1.5707963354239003,
1.5707962813382326,
1.5707963272764305
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 246 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2909, 2910], "expectation_value": -6.249735496837667, "params": null, "bitstrings": ["010010100010", "010010100001"], "total_optimization_steps": 100, "probabilities": [0.05709175034322553, 0.8163099224805773], "optimization_time": 268.2699954509735} | 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 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | 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(1.5706) 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];\... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
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,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
ab05d106c82b2c06d5e9031643e50140 | 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}], "edges": [{"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -14.28212829796908, "params": [[[0.007, 0.22560000000000002], [0.0108, -0.0034000000000000002], [0.008, 0.0024000000000000002], [0.0033, 0.0027], [0.0076, 0.0027], [0.0073, 0.0028], [0.0023, 0.0025], [0.0027, 0.0026000000000000003], [0.0019, -0.0015], [-0.2015, -1.0888], [0... | -0.25 * (Z(0) @ Z(10)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(9) @ Z(10)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(8) @ Z(10)) + -0.75 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(9)) + -1.5 * (Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11908466725953044) q[0];
ry(-0.0270905732582413) q[1];
ry(0.2190440916766306) q[2];
ry(0.01448872955257352) q[3];
ry(0.2751186901665706) q[4];
ry(0.18781653820385558) q[5];
ry(-0.02296736479026594) q[6];
ry(0.10792146849543316) q[7];
ry(-0.03992143998323143) 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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIZ",
"IIIIIIZIIZI",
"ZZIIIIIIIII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"ZIIIIIIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IZIIIIIZIII",
"IIIIIIIZZII",
"ZIZIIIIIIII",
"IIZIIIZIIII",
"IZZIIIIIIII",
"IIZIIIIZIII",
"ZIIIIZIIIII",
"IIIIIZZIIII",
"IZIIIZIIIII",
"IIIIIZIIZII",
"IIZIIZIII... | [
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.5,
-1.25,
-0.75,
-0.25,
-1.5,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
-0.5,
-1,
-0.25,
-0.5,
-0.75,
1,
-0.25,
-1,
1,
0.5,
-1.25,
0,
0.75,
-1.5,
0.75,
0
] | 0.972037 | [
-0.11908466725953044,
-0.0270905732582413,
0.2190440916766306,
0.01448872955257352,
0.2751186901665706,
0.18781653820385558,
-0.02296736479026594,
0.10792146849543316,
-0.03992143998323143,
-1.3664008922974786,
-0.259238173041442,
0.006278281986306089,
-0.043971318518778724,
-0.03786061359... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 41 |
d1602a48db0b9ddd29f550e6862bbc0a | 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}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [229, 117], "expectation_value": -22.961164399235628, "params": [[0.0332, -0.0154, 0.0123], [-0.0714, -0.037200000000000004, -0.055200000000000006]], "bitstrings": ["00011010", "10001010"], "total_optimization_steps": 10, "probabilities": [0.011572663431469302, 0.011839623166359416], "optimization_time": 5.8... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 22.5 * Z(3) + 15.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.01988959587459258) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.01988959587459258) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.01988959587459258) q[2];
cx q[0], q[2];
rz(1.5705949267290302) q[0];
rx(1.5737961387934527) q[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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
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,
9.5,
22.5,
15,
16.5,
13,
4.5,
3.5,
14.5
] | 0.93496 | [
0.01988959587459258,
1.5705949267290302,
-1.5706474594478201,
-1.5706950642609576,
-1.5707313852024845,
-1.5705995674318687,
1.5706986676279677,
-1.570715889237666,
1.5737961387934527
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 230 |
d2ab62c933304b5c3d761f042e65d199 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [5741, 1613], "expectation_value": -5.0559540134891865, "params": [[-0.2833], [0.3124]], "bitstrings": ["0100110010010", "1100110110010"], "total_optimization_steps": 40, "probabilities": [0.0012700592348119067, 0.0013183699710739433], "optimization_time": 7.2474071979522705} | 1.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(0) @ Z(11)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(11)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(11)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6... | 1 | 13 | 1 | {"smallest_eigenvalues": [-8.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["1100110110010"], "largest_eigenvalue": 24.333333333333336} | 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];
cx q[5], q[4];
rz(0.01428808446472929) q[4];
cx q[5], q[4];
rz(0.7076710511306401) q[4];
rx(0.6799700390829646) q[4];
rz(0.7076710511306401) q[5];
rx(0.6799700390829646) q[5];
cx q[5], q[4];
rz(-0.018813340844222627) 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] 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[13] c;
qubit[13... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"IZIIIIIIIIIIZ",
"IIZIIIZIIIIII",
"IIIZIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZIIIIIZ",
"IZIIIZIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IZIIZIIIIIIII",
"IIIIZIIIIIIIZ",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIZIIIIIIIIZI",
"IIIZIIIIIII... | [
1,
0.5,
0.5,
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,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.4166666666666667,
-0.08333333333333333,
2,
2,
0.5,
-0.5833333333333333,
-0.5,
0.5,
0.5,
-1.08333333333333... | 0.939928 | [
-0.022671081592215675,
0.06161724149777843,
0.005991387157856576,
-0.6387503257619822,
-0.010357105256603799,
0.01428808446472929,
-0.47916225336349694,
0.7655302160406787,
-1.1089908052403838,
-1.436223898761174,
-0.6605812567300683,
0.70767105113064,
0.6799700390829644,
0.042096629996697... | {
"n_parameters": 39,
"n_qubits": 13,
"optimal_eigenvalue": -8.833333333333332,
"target_ratio": 0.97,
"target_value": -8.568333333333332
} | 500 |
05514a606dbec7e55e2ac5ce12f9f75b | 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}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [31, 255], "expectation_value": -14.278238916104959, "params": null, "bitstrings": ["1111100000", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.09541458626984158, 0.4411255446896512], "optimization_time": 252.02491283416748} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
ry(0.8268792015905144) q[2];
h q[3];
h q[4];
h q[5];
ry(0.7488120613381968) q[5];
h q[6];
ry(0.7488120613381968) q[6];
h q[7];
ry(0.7488120613381968) q[7];
h q[8];
h q[9];
cx q[9], q[5];
ry(-0.7488120613381968) q[5];
cx q[9], q[5];
cx q[5], q[6]... | null | {"node": 2} | {"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(1.5708) 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
0.5,
-1.5,
-1.5,
-1.5,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-1.5,
-1.5,
-2.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.930393 | [
1.4976241226763936,
1.4087226032883953,
0.5925903346127331,
-0.060675828750480776,
0.009081530359593457,
1.490895193830993,
0.014829929429586743,
0.009893077389786651,
0.005419490494305174,
1.6537584031810288,
0.23939540441261495,
1.2679969072269819,
-0.009361710562537933,
-0.0181732077038... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 500 |
15665b6f17e50a473c9dc7122f285f9f | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [323, 331], "expectation_value": -5.403392185984042, "params": [0.49110000000000004, 0.4963, 0.0086, 0.0017000000000000001, 0.509, 0.508, 0.2883, 0.2903, 0.3018, 0.2998, 0.4333, 0.44580000000000003, -0.0058000000000000005, -0.0028, 0.5071, 0.5047, 0.4988, 0.5012, 0.4529, 0.458, -0.0014, -0.012400000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * Z(1) + -0.5 * Z(0) + -0.5 *... | 14 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100100", "010110100", "010011100", "110001100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.6874980782322303) q[0];
rz(pi/2) q[0];
ry(0.2813574305717622) q[1];
ry(1.1203142972738096) q[2];
ry(0.023945603259647542) q[3];
ry(-0.11715996751780018) q[4];
ry(0.6692310273444304) q[5];
ry(0.31320392123582336) q[6];
ry(0.7674454090980876) q[7];
ry(0.7293521063799... | 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",
"IIIIIZIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIZIIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"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,
-2.5,
-0.5,
-0.5,
-1,
-2.5,
-0.5,
-0.5,
0,
-0.5
] | 0.970205 | [
0.6874980782322303,
0.2813574305717622,
1.1203142972738096,
0.023945603259647542,
-0.11715996751780018,
0.6692310273444304,
0.31320392123582336,
0.7674454090980876,
0.7293521063799253,
0.1662331981836463,
0.47831152993822657,
-0.06466357204878079,
0.27091911543521935,
0.14207368048237892,
... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
a6b81bd94db1dc24b1e0e42e6a7091b4 | 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": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [238, 218], "expectation_value": -51.53494955352913, "params": null, "bitstrings": ["100010001", "100100101"], "total_optimization_steps": 100, "probabilities": [0.0851302070259091, 0.30834026822324095], "optimization_time": 191.8008518218994} | 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 | 3 | {"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... | 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(8.8595) 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] = m... | [
"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 |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [245, 238], "expectation_value": -2.052496359544096, "params": [[0.054700000000000006, 0.053500000000000006, 0.07100000000000001, 0.078], [-0.0524, -0.0253, -0.049600000000000005, -0.060700000000000004]], "bitstrings": ["100001010", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0054086956... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.322389483957614e-09) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-2.322389483957614e-09) q[3];
c... | 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": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
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,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
1.5,
1,
1,
1.5,
1,
1.25,
1,
1.25,
1.5
] | 0.714286 | [
-2.322389483957614e-9,
4.1451823289962644e-8,
1.57079638027508,
-1.5711130946503415,
1.570796330588283,
-1.5707963417037913
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 230 |
-2619258521276168165 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 6], [1, 2, 3, 4, 6], [0, 1, 4, 7], [0, 2, 4, 6], [0, 1, 4, 5, 6], [0, 1, 2, 5, 6], [1, 2, 3, 4, 5], [0, 1, 2, 3, 5]]} | {"states": [232, 248], "expectation_value": -1.6990920455516294, "params": null, "bitstrings": ["00010111", "00000111"], "total_optimization_steps": 40, "probabilities": [0.1282067526981788, 0.7536049128284077], "optimization_time": 66.25249004364014} | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.26666666666666666 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.2 * (Z(1) @ Z(2)) + 0.23333333333333334 * (Z(1) @ Z(0)) + 0.15000000000000002 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7500000000000004, -1.7500000000000004, -1.7500000000000004], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.75, "smallest_bitstrings": ["01100000", "00100101", "00000111"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5960125153046163) q[0];
ry(-3.018278489681295) q[1];
rz(-pi) q[1];
ry(-2.69441838802795) q[2];
rz(-pi) q[2];
cx q[0], q[2];
ry(-0.2948399157758851) q[2];
cx q[0], q[2];
cx q[0], q[1];
ry(-0.15545953865988063) q[1];
cx q[0], q[1];
ry(0.08367622456396215) q[2... | 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];\nry(1.5321) 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];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZ... | [
0.26666666666666666,
0.23333333333333334,
0.13333333333333333,
0.26666666666666666,
0.26666666666666666,
0.13333333333333333,
0.2,
0.23333333333333334,
0.15000000000000002,
0.15000000000000002,
0.18333333333333335,
0.21666666666666667,
0.1,
0.18333333333333335,
0.23333333333333334,
0.0... | 0.977406 | [
1.5960125153046163,
1.2920226242265176,
0.8287821454571682,
-0.5347828380424335,
0.5896798315517702,
-0.4711210032223914,
-0.29742672880124105,
0.31091907731976126,
-0.09710456792333241,
0.1673524491279243,
-0.40470977303316674,
-0.40648026016825634,
0.4437973230731106,
-0.3128407484577175... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -1.7500000000000004,
"target_ratio": 0.97,
"target_value": -1.6975000000000005
} | 1 |
-4443371172376578340 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [2, 5], [2, 3], [3, 6], [3, 5], [1, 3], [4, 6], [3, 4], [0, 3], [1, 7], [4, 5], [6, 7], [2, 7], [4, 7], [5, 7], [1, 2], [3, 7]]} | {"states": [49, 206], "expectation_value": -0.05053078723716984, "params": [[0.0425], [-0.0354]], "bitstrings": ["11001110", "00110001"], "total_optimization_steps": 10, "probabilities": [0.004072333947254789, 0.004072333947254789], "optimization_time": 0.711540937423706} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["11100110", "11001110", "00011001", "00110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.4173391714650732) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(0.4173391714650732) q[5];
cx q[4], q[5];
cx q[2], q[5];
cx q[4], q[3];
rz(0.4173391714650732) q[3];
cx q[4], q[3];
rz(0.4173391714650732) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIIIIZI",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZ... | [
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
] | 0.441837 | [
0.4173391714650732,
1.3312944406146174e-8,
-0.5669340042511545
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 89 |
d007b9bb335ee1d3375786aee1b81f34 | 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": [5458, 4434], "expectation_value": -133.3752130135871, "params": [[0.5028, 0.0064, 0.2636, 0.0022, 0.4999, 0.0882, 0.5021, 0.046700000000000005, 0.5045000000000001, -0.002, -0.0098, 0.5046, 0.0329], [0.49860000000000004, 0.025500000000000002, 0.2596, -0.0017000000000000001, 0.5053, 0.0844, 0.4989, 0.0391, 0.... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(2) @ Z(6)) + 8.5 * (Z(5) @ Z(0)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(8) @ Z(2)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(10) @ Z(4)) + 8.5 * (Z(11) @ Z(7)) + 8.5 * (Z(12) @ Z(11)) + 9.5 * Z(0) + -5.0 * Z(1) + -8.0 * Z(3) + 9.5 * Z(4) + 17.0 * Z(6) + 1.0 * ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-172.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -148.0, "smallest_bitstrings": ["0111010101101"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.4036196084142657) q[0];
ry(-0.03821888644570589) q[1];
ry(0.209430575966346) q[2];
ry(-0.0419357319041395) q[3];
ry(0.5653029847163632) q[4];
ry(-0.007986998247828198) q[5];
ry(0.5834673313875562) q[6];
ry(-0.16833237332924578) q[7];
ry(0.4887304874095869) q[8];
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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIZZIII",
"IIIIIIZIIIZII",
"IIIIIIIZIIIIZ",
"IIIIIIZZIIIII",
"IIIIZIZIIIIII",
"IIIIZIIIIIZII",
"IIIIZZIIIIIII",
"IIZIIIIIZIIII",
"IZIIIZIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIIZI",
"IIIIIIIIIZIII",
"IIIIIIIIZIIII",
"IIIIIIZIIIIII",
"IIIIIIIIIIZ... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
9.5,
-5,
-8,
9.5,
17,
1,
2,
18,
1.5,
-3.5,
9,
-5,
-15.5
] | 0.972468 | [
0.4036196084142657,
-0.03821888644570589,
0.209430575966346,
-0.0419357319041395,
0.5653029847163632,
-0.007986998247828198,
0.5834673313875562,
-0.16833237332924578,
0.4887304874095869,
0.18697656810643037,
0.009003155602317674,
0.8350722751718966,
0.007626638867907015,
0.5795766380804992... | {
"n_parameters": 64,
"n_qubits": 13,
"optimal_eigenvalue": -172,
"target_ratio": 0.97,
"target_value": -166.84
} | 11 |
706645401eafdb077381e4030b4342f0 | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [200, 201], "expectation_value": -5.189482799108613, "params": [0.3935, 0.0018000000000000002, 0.4066, 0.0001, -0.0015, 0.1769, 0.1058, 0.050300000000000004, 0.4071, -0.0021000000000000003, 0.0702, 0.19540000000000002, -0.0026000000000000003, 0.19440000000000002, 0.40280000000000005, 0.0018000000000000002, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00110110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.44491577770382407) q[0];
rz(1.7353011953495114) q[0];
rx(0.800460059903377) q[1];
rz(1.559664857887153) q[1];
rx(0.1494232151855587) q[2];
rz(1.733051136497192) q[2];
rx(0.0664186552541169) q[3];
rz(1.6683904821653792) q[3];
rx(0.5697212793829812) q[4];
rz(1.549678... | 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": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIIZZII",
"IIZIZIII",
"IZIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIZIII",
"IIIZZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII"
] | [
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,
-1.5,
-1.5,
-1,
-2,
-1,
0
] | 0.979578 | [
0.44491577770382396,
0.16450486855461469,
0.800460059903377,
-0.01113146890774392,
0.14942321518555868,
0.16225480970229592,
0.06641865525411689,
0.09759415537048285,
0.5697212793829811,
-0.021117990436811465,
0.08284208479423197,
0.24265467730802245,
0.03933076903142256,
0.307688570523166... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
e104f31aaff273b4fa5fa538ba3fde4a | 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": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [65, 1], "expectation_value": -1.4570025170384313, "params": [[0.0799, 0.08020000000000001], [-0.08320000000000001, -0.08320000000000001]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004792242012566111, 0.005312064399308596], "optimization_time": 8.775405406... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111101110", "111111110", "110111110", "110101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6076297506325974) q[0];
h q[1];
ry(-1.6076297506325974) q[1];
h q[2];
ry(0.8499546938270016) q[2];
h q[3];
ry(-0.7671930836053993) q[3];
h q[4];
ry(1.6018454204968897) q[4];
cx q[4], q[2];
ry(-0.8499546938270016) q[2];
cx q[4], q[2];
h q[5];
ry(-0.62818338... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIZIII",
"IZIIIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIZIIII",
"IIIZZIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIZII",
"IZIIIIIII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1.75,
-0.5,
-1.25,
-0.25,
-0.25,
0,
1,
-1,
-1,
1.5,
1.25
] | 0.994358 | [
1.6018454204968897,
1.6849937422262258,
-1.6076297506325974,
1.6999093876540032,
-1.495596626319655,
-1.2563667617200651,
-1.5343861672107986,
-1.4299654093531273,
-0.07709111561543597,
-0.1327043613471936,
-0.14987038388116428,
-0.02359566448317256,
-0.12568951152613844,
-0.02849748278067... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
f7c0ee1d4c77af9b2736662ef168c92d | 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": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -11.507518153936605, "params": [-0.2873, 0.37970000000000004, -0.30970000000000003, 0.6825, -0.2559, 0.5890000000000001, -0.2838, 0.552, -0.08660000000000001, 0.45430000000000004, -0.0264, 0.4486, -0.0201, 0.4471, -0.0201, 0.4506, -0.0352, 0.4217, -0.0221, 0.45370000000000005, -... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 6 | 5 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.45152466802334346) q[0];
rz(1.4066147797774988) q[0];
rx(-0.07143626986274479) q[1];
rz(1.8533040800607736) q[1];
rx(-0.030778545034726844) q[2];
rz(1.5910727584465842) q[2];
rx(0.15712476886296356) q[3];
rz(2.0196619033152476) q[3];
rx(-0.3403221302148819) 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[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZZII",
"ZZIII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
-1,
-2,
-2,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.972686 | [
0.4515246680233434,
-0.1641815470173972,
-0.0714362698627448,
0.2825077532658756,
-0.030778545034726844,
0.020276431651687563,
0.15712476886296356,
0.4488655765203511,
-0.3403221302148819,
-0.34670949748275537,
-0.3200738175387166,
0.07153531278562773,
0.20466436245071123,
0.04228546784642... | {
"n_parameters": 71,
"n_qubits": 5,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 62 |
a2b703670d19247f6071de624d813f7d | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [987, 986], "expectation_value": -2.108849267083074, "params": [0.38630000000000003, 0.4323, 1.2065000000000001, 0.2028, 0.9298000000000001, 0.3758, 1.1984000000000001, -0.008400000000000001, 1.0026000000000002, 0.041600000000000005, 0.0026000000000000003, -0.8317, 1.1987, -0.0033, 1.2001000000000002, 0.0174... | 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(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(3) @ Z(6... | 16 | 11 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.6875, "smallest_bitstrings": ["10000100011", "00110100100", "10000100110", "10000100101", "10000101100", "10000110010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.13585782355247195) q[0];
rz(0.29864270240676144) q[0];
ry(0.4563168005262513) q[1];
rz(0.38243811920507753) q[1];
cx q[1], q[0];
ry(0.5176341854895177) q[0];
rz(-0.43373726839029036) q[0];
ry(0.7226319683581064) q[1];
rz(0.3157779697635044) q[1];
ry(0.545519599691... | 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",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZZIIZ",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIIIZIIIZI",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
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,
... | 0.970229 | [
0.13585782355247195,
0.29864270240676144,
0.4563168005262513,
0.38243811920507753,
0.545519599691342,
0.19833271922099288,
0.047629893253298736,
-0.6494667888063903,
0.8509917401973556,
0.07690407039138134,
0.3022796071558218,
0.36948672697092555,
-0.07852957412380208,
0.27113912634784293,... | {
"n_parameters": 118,
"n_qubits": 11,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 91 |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [14, 30], "expectation_value": -2.0596938160692195, "params": [-0.011300000000000001, 0.4375, -0.016, 0.0041, 0.8049000000000001, 0.23340000000000002, 0.8046000000000001, 0.0012000000000000001, 0.8119000000000001, 0.17880000000000001, 0.8077000000000001, 0.0034000000000000002, 0.8093, 0.2338, 0.805, 0.004, 0... | 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(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 5 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | 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": []} | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
0,
0
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
2809de50863d7f4d6a71c10545631db1 | 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": [646, 647], "expectation_value": -38.8215459744365, "params": [[[0.7992, 0.7934], [0.384, 0.5855], [0.8026000000000001, 0.7999], [-0.0936, 0.7997000000000001], [-0.0796, 0.3453], [0.183, 0.381], [-0.5216000000000001, 0.8015], [0.5905, 0.7999], [0.7978000000000001, 0.7878000000000001], [0.8021, 0.7943]], [[-0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 13.5 * Z(0) + 17.5 * Z(1) + 15.0 * Z(2) + -5.5 * Z(3) + ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.0, "smallest_bitstrings": ["0101111000"], "largest_eigenvalue": 175.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.488997136923306) q[0];
ry(-0.041701129481623626) q[1];
ry(1.4257677846731711) q[2];
ry(0.31823756739950904) q[3];
ry(0.08669783417619167) q[4];
ry(-0.001284418646297518) q[5];
ry(-0.016679543945349973) q[6];
ry(0.9868887570651516) q[7];
ry(1.6542397586937412) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
13.5,
17.5,
15,
-5.5,
0.5,
20.5,
-5,
14,
16.5,
-10
] | 0.97301 | [
1.488997136923306,
-0.041701129481623626,
1.4257677846731711,
0.31823756739950904,
0.08669783417619167,
-0.001284418646297518,
-0.016679543945349973,
0.9868887570651516,
1.6542397586937412,
1.6066335926452158,
0.5804234382291977,
0.6248163948040337,
0.5140247496217376,
0.46918704657078525,... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -108,
"target_ratio": 0.97,
"target_value": -104.75999999999999
} | 70 |
cf9a1540b011355d554ff1ed574e9153 | 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": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [191, 118], "expectation_value": -43.70097506271805, "params": null, "bitstrings": ["01000000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.08243875724131994, 0.31412767660306534], "optimization_time": 161.94744396209717} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 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(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | 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(9.9081) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
-2286651177694543539 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 6], [1, 3, 5], [0, 2, 5], [3, 4, 6], [0, 1, 2, 4], [1, 3, 4], [2, 4, 6], [2, 3]]} | {"states": [110, 78], "expectation_value": -1.7643701871743733, "params": [1.0978, -0.0148, 1.0919, 0.0027, 1.0475, 0.0546, 0.8769, 0.0039000000000000003, 1.0273, 0.013000000000000001, 0.7616, 0.0037, 1.1064, -0.011000000000000001, 1.1032, 0.0047, 1.1043, -0.0162, 1.1016000000000001, 0.007200000000000001, 1.1019, -0.01... | 0.41666666666666663 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(4))... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["0110001"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.048850247460786686) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(0.007533481330137762) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[0];
rz(0.01914884023641202) q[0];
cx q[4], q[0];
rz(-0.033531461102861565... | 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": []} | [
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIIIZ",
"IIIIIZZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"IIIIZIZ",
"ZIIIZII",
"IIIZZII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"III... | [
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
... | 0.699364 | [
-0.048850247460786686,
0.007533481330137762,
-0.033531461102861565,
0.01914884023641202,
1.2976745058437005,
0.011216090804109968,
1.5852408930765303,
-1.6767119196527536,
0.3898347609895406,
-1.187419303955196,
-1.213330154774481
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 287 |
db350f4c6cc12fe7a27604bdeac9089b | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [3, 1], "expectation_value": -2.2705251136664635, "params": [[0.0745, 0.0659, 0.0784], [-0.0829, -0.060500000000000005, -0.0703]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.014140114081023867, 0.015775059968616813], "optimization_time": 4.717423439025879} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4275268824029438) q[0];
h q[1];
ry(-1.5652080334247682) q[1];
ry(-0.03368310796321593) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5652080334247682) q[3];
h q[4];
ry(-1.6531305993622973) q[4];
h q[5];
ry(-1.5652080334247682) q[5];
h q[6];
h q[7];
cx q[7], q[0];
ry(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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
-0.25,
1.5,
-0.25,
-0.75,
-1.75,
-0.25,
0.25,
0.25,
-0.5,
0,
1.25,
0.75
] | 0.972524 | [
-1.5652080334247682,
-0.8550537648058876,
1.3145543956205288,
-0.8916018977800446,
-1.5187606997036145,
-1.6531305993622973,
0.19570433574163723,
-0.335754560642802,
-0.0367050382561322,
-0.08837873644366767
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 10 |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [18, 41], "expectation_value": -0.1533262507453322, "params": [[-0.067], [0.06910000000000001]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.01709250870837636, 0.017677536220816498], "optimization_time": 1.1169707775115967} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
fdd193cb015e57ef85d2ae5c4eb54ede | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3019, 3035], "expectation_value": -3.2473258910150946, "params": [0.0025, 0.006500000000000001, 0.5198, 0.5265000000000001, -0.0022, 0.0058000000000000005, 0.5273, 0.5224, 0.5369, 0.5282, 0.5219, 0.5189, 0.5277000000000001, 0.5193, 0.003, -0.0026000000000000003, 0.3005, 0.2968, 0.5531, 0.5483, 0.0426, 0.046... | 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)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 13 | 13 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.687... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07570942245496524) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.07570942245496524) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07570942245496524) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.07570942245496524) 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] 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIZZIIZ",
"IIIIIIIZIZIIZ",
"IIIIIIIZZIIIZ",
"IIIIIIIZZZIII",
"IIIIIIIZZZIIZ",
"IIIIIZZIIIIII",
"IIIIZIZIIII... | [
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,
0.25,
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.... | 0.970736 | [
0.07570942245496524,
-1.1207471745353512,
-0.2307855789221866,
-1.2240404964433413,
-1.2523499073318871,
0.6384391318483287,
-0.8265045417678176,
-0.6678735821875842,
-2.1284699588688407,
-0.30330827614393213,
0.5683998775361413,
-2.4878442729812242,
-1.3799902050266712,
-1.836426382423593... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 122 |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [0, 29], "expectation_value": -6.268911715969399, "params": [[[-0.0738, 0.0015, 0.0006000000000000001, 0.0027], [0.0037, 0.1555, 0.0021000000000000003, 0.8468], [0.0024000000000000002, 1.1791, 0.0024000000000000002, 0.1381], [-0.0029000000000000002, 0.0551, -0.0025, 0.39730000000000004], [0.00390000000000000... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 11 | 6 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"], "largest_eigenvalue": 9.25} | 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(0.25137557506976543) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-0.3034559764764657) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.32149893878205565) q[3];
cx q[4], q[3];
rz(0.05900538221320195) q[4];
rx(0.125911296508555... | 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": []} | [
"IZIIIZ",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
-0.5,
0.75,
-1.5,
-2,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-1.75,
-0.25,
-1.25,
0.25,
1.25,
1.75
] | 0.972404 | [
0.25137557506976543,
-0.30313069804113246,
0.23033659415730043,
-0.3034559764764657,
0.35568709670647886,
0.32149893878205565,
0.05900538221320224,
-0.175513034202568,
-0.3239146546667025,
-0.8972253164971841,
-0.9873010555019224,
0.12591129650855593,
-0.1131226468916046,
0.022047127083097... | {
"n_parameters": 48,
"n_qubits": 6,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 145 |
-6371410746826064141 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1], [1, 2, 4], [2, 3]]} | {"states": [11, 21], "expectation_value": -0.31227652342047185, "params": [[0.2803], [-0.2846]], "bitstrings": ["10100", "01010"], "total_optimization_steps": 30, "probabilities": [0.054571398125650074, 0.054571398125650074], "optimization_time": 0.6631996631622314} | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666663 * Z(1) + 0.0 * Z(0) + 0.16666666666666663 * Z(2) + 0.16666666666666666 * Z(4) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3333333333333328, "smallest_bitstrings": ["01010", "10100"], "largest_eigenvalue": 2.0000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4500340782715404) q[0];
cx q[1], q[0];
rz(-0.24718033699927888) q[0];
rx(-0.8077654815169821) q[0];
h q[2];
cx q[1], q[2];
rz(0.25929069560714857) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.25929069560714857) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(x1) q[4];
cx q[1], q[4];
cx q[2], q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZIIZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0,
0.16666666666666663,
0.16666666666666666,
0
] | 0.781314 | [
1.4500340782715404,
0.25929069560714857,
-0.24718033699927905,
-0.8077654815169821
] | {
"n_parameters": 4,
"n_qubits": 5,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 117 |
20a60ed013bc1976376f734be7d8d92c | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [89, 90], "expectation_value": -0.7125132409512207, "params": null, "bitstrings": ["10100110", "10100101"], "total_optimization_steps": 59, "probabilities": [0.04611812023701407, 0.36452010667400087], "optimization_time": 68.81702089309692} | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "01011010", "10010110", "01101001", "10101010", "01010101"], "largest_eigenvalue": 1.01875} | 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 | {"communities_size": 2, "number_of_communities": 2} | {"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(-0.5959) q[6], 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] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.0015625,
-0.0015625,
0.25,
0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015625,
0.0015625,
-0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999... | 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 |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 149.1959342956543} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"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(1.5706) 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[6] = m... | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1,
1.25,
1.25,
1.25,
1.25
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | adaptive_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": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [1, 15], "expectation_value": -5.973429164810103, "params": null, "bitstrings": ["11110", "10000"], "total_optimization_steps": 38, "probabilities": [0.08996421767388751, 0.6443062405164904], "optimization_time": 26.125636100769043} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], q[3... | 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];\ncry(1.5708) q[3], 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;\nqu... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
589a81c8fd04d28f25b3e8e25563f55c | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.27493312640595136, "params": [[0.0776], [-0.0801]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004799604938272881, 0.004913773963022553], "optimization_time": 1.8707821369171143} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) 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[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[7], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
6102664568185508627 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 4, 8], [3, 4, 5, 7, 10], [0, 1, 3, 4, 5, 6, 8, 10], [1, 9], [1, 3, 4, 6, 7]]} | {"states": [1889, 1905], "expectation_value": -1.0963657209656303, "params": [1.3429, 0.0032, 1.3427, 0.0078000000000000005, 1.5021, -0.0015, 1.4927000000000001, 0.006200000000000001, 1.3855000000000002, -0.2088, 1.3869, 0.0051, 0.7121000000000001, -0.3981, 0.7114, 0.0044, 1.3554000000000002, 0.046200000000000005, 1.35... | 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.06785714285714287 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.06785714285714287 * (Z(4) @ Z(0)) + 0.16785714285714287 * (Z(4) @ Z(3)) + 0.05 * (Z(8) @ Z(2)) + 0.06785714285714287 * (Z(8) @ Z(0)) + 0.06785714285714287 * (Z(8) @ Z(3)) + 0.06785714285714287 * (Z(8) @ Z(4)) + ... | 7 | 11 | 1 | {"smallest_eigenvalues": [-1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.8210937931904705) q[0];
rz(0.1096173974151955) q[0];
rx(1.4815022716127633) q[1];
rz(0.014168266316826056) q[1];
cx q[1], q[0];
rz(-0.005581409831511161) q[0];
cx q[1], q[0];
rx(1.3598872465807201) q[0];
rz(0.012956784121127385) q[0];
rx(1.6539135955102688) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIZIIIIIZII",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIZI... | [
0.05,
0.05,
0.06785714285714287,
0.05,
0.06785714285714287,
0.16785714285714287,
0.05,
0.06785714285714287,
0.06785714285714287,
0.06785714285714287,
0.017857142857142856,
0.06785714285714287,
0.06785714285714287,
0.017857142857142856,
0.1,
0.1,
0.05,
0.017857142857142856,
0.0678... | 0.972614 | [
1.8210937931904705,
0.10403598758368426,
1.4815022716127633,
0.014168266316826056,
1.7111473720989783,
-0.0990561412289738,
-0.10404673834177604,
-0.4648610721398967,
1.468103045323916,
0.2800620825010346,
1.3937341593363093,
0.09005536790100324,
0.9477111617148638,
0.2025518461291207,
1... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -1.2785714285714287,
"target_ratio": 0.97,
"target_value": -1.2402142857142857
} | 16 |
d8c959a00da600e8fbae4f9fb196848f | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [338, 342], "expectation_value": -1.115618660366588, "params": [[[0.4037, 0.0051], [0.3164, -0.048], [0.40180000000000005, 0.0027], [0.30110000000000003, -0.057800000000000004], [0.404, 0.0032], [0.17880000000000001, 0.1087], [0.39730000000000004, 0.0021000000000000003], [0.4015, 0.0021000000000000003], [0.0... | 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(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["110001001", "001101001", "010101001", "100101001", "010011001"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.1087166777863207) q[0];
rz(-0.892128208735353) q[0];
rx(-0.10555253505080193) q[1];
rz(-2.1505013782365814) q[1];
cx q[1], q[0];
rz(0.6073105656048865) q[0];
cx q[1], q[0];
rz(-0.29781569235553773) q[1];
rx(2.9616223761668268) q[2];
rz(-1.0732261310631799) q[2];
rx... | 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",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIIIIZIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
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,
... | 0.983245 | [
3.1087166777863207,
-0.28481764313046676,
-0.10555253505080193,
-2.1505013782365814,
2.9616223761668268,
-0.7288634899619624,
-0.10273246688609211,
-0.4938466676659305,
2.9359389274210392,
-1.2632034020581857,
-0.040063572556002694,
-0.6586718011990842,
3.185777050476411,
-0.72137408456910... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 30 |
2980076936474430414 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5], [1, 7], [2, 3, 5, 6, 7], [4, 7], [2, 3, 4, 6], [0, 6]]} | {"states": [39, 181], "expectation_value": -0.026786307558060614, "params": [[0.056], [-0.050800000000000005]], "bitstrings": ["11011000", "01001010"], "total_optimization_steps": 10, "probabilities": [0.004105259379469014, 0.004105278606761782], "optimization_time": 0.731036901473999} | 0.5 * (Z(4) @ Z(5)) + 0.05 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.05 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.05 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.366666666666667, -2.366666666666667, -2.366666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["11011000", "01001010", "11101000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.10495408460183374) q[0];
h q[1];
ry(-0.10495408460183374) q[1];
h q[2];
ry(-0.29104434297551995) q[2];
ry(-2.4118059566134997) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.3040752875079997) q[4];
h q[5];
cx q[5], q[4];
ry(0.3040752875079997) q[4];
cx q[5], q[4];
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[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[5], q[4];
r... | null | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZIIIIIZI",
"IIZIIZII",
"IIIZIZII",
"ZIIIIZII",
"IIZIZIII",
"IIIZZIII",
"ZIIIZIII",
"IIIIZZII",
"IZZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIIZII",
"IZIIZIII",
"IZIIIIIZ",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.05,
0.5,
0.5,
0.05,
0.08333333333333333,
0.05,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.5,
0.1000000000000002,
0.12499999999999978,
0.10000000000000009,
0,
0.22499999999999995,
... | 0.970789 | [
-0.20990816920366748,
1.1909338143415538,
-0.6428984879676235,
1.102784145185628,
-0.6081505750159995,
1.0152256571225675,
-0.46778315328154907,
0.6696051979174614,
-0.8173869214467746,
0.31649972882245886,
0.4932243639132196,
-0.12886886068639317,
-0.4434654075271181,
-0.35799015942197937... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -2.366666666666667,
"target_ratio": 0.97,
"target_value": -2.295666666666667
} | 26 |
dee99b5a2b9a8dcba1984d8147401d5f | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [22954, 42581], "expectation_value": -1.9997510434828127, "params": [[3.1391], [-0.39540000000000003]], "bitstrings": ["1010011001010101", "0101100110101010"], "total_optimization_steps": 360, "probabilities": [0.003904970943994254, 0.003904970943994254], "optimization_time": 65.3028781414032} | 0.25 * (Z(0) @ Z(1)) + -0.0007716049382716049 * (Z(2) @ Z(0)) + -0.0007716049382716049 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0007716049382716049 * (Z(4) @ Z(0)) + 0.00030864197530864197 * (Z(4) @ Z(2)) + -0.0007716049382716049 * (Z(5) @ Z(1)) + 0.00030864197530864197 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0174382716049153], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0174382716048727, "smallest_bitstrings": ["0101100110101010"], "largest_eigenvalue": 2.019290123456758} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.5186315201757716) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0081382267321271) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0081382267321271) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.5186315201757716) q[3];
cx q[2], q[3];
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] 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[16] c;
qubit[16] q;
h q[0];
h q[1];
... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0007716049382716049,
-0.0007716049382716049,
0.25,
-0.0007716049382716049,
0.00030864197530864197,
-0.0007716049382716049,
0.00030864197530864197,
0.25,
-0.0007716049382716049,
-0.0010802469135802468,
0.00030864197530864197,
-0.0007716049382716049,
-0.0010802469135802468,
0.0003... | 0.982958 | [
1.5186315201757716,
0.0081382267321271,
0.03921264170668179,
0.08564529762422643,
-0.0017882963626618198,
0.02279049911743756,
0.014406064464724457,
0.08451336325105703,
-0.005406638488866364,
-0.031819848400132716,
0.0021492961098886435,
-0.8123180920558603
] | {
"n_parameters": 12,
"n_qubits": 16,
"optimal_eigenvalue": -2.0174382716049153,
"target_ratio": 0.97,
"target_value": -1.9569151234567679
} | 1 |
be5567089ea669cee1a7aa408c6e9375 | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 21], "expectation_value": -1.335081370284366, "params": [[-0.055600000000000004, -0.0604, -0.0687, -0.0849], [0.0658, 0.0656, 0.0694, 0.07780000000000001]], "bitstrings": ["0010111", "1101010"], "total_optimization_steps": 10, "probabilities": [0.017982764762194087, 0.01880286381322911], "optimization_... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "1101010", "1010011", "0010111", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.4051761076440845e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(3.4051761076440845e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(3.4051761076440845e-08) q[3];
cx q[2], q[3];
rz(-1.5707962957304016) q[2];
rx(-1.5707962257900... | 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": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IZZIIII",
"IZIIIZI",
"ZIIIIZI",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5
] | 0.75 | [
3.4051761076440845e-8,
-1.570796295730401,
1.5715949956260666,
-1.5707962379665277,
-1.5707962257900674
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 224 |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [2, 6], "expectation_value": -2.919056227483678, "params": [[[1.3036, -0.06330000000000001], [0.0247, -0.0618], [1.2986, -1.2889000000000002], [-0.23440000000000003, 0.2831], [0.6448, -0.6438]], [[0.2497, -0.0009000000000000001], [-0.0058000000000000005, 0.0122], [0.20520000000000002, -0.1018], [0.2880000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 15 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | 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": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [13, 7], "expectation_value": -6.695030995372196, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10881682250307842, 0.5951549079003051], "optimization_time": 76.74883675575256} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | {"k": 3} | {"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];\ncry(-1.5708) q[5], 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 ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
82a9b805089c1b1c13eff0722cc99710 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.100433179568233, "params": [-0.0034000000000000002, 0.453, 0.0022, 0.5584, 0.0028, 0.6025, 0.0022, 0.5972000000000001, 0.0023, 0.5388000000000001, -0.0028, 0.6114, 0.0028, 0.5637, 0.0023, 0.5828, 0.8004, -0.0036000000000000003, -0.0037, 0.20020000000000002, 0.0022, -0.16390000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 4 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.129749767988939) q[0];
rz(1.8507290898757516) q[0];
rx(-0.108662880652448) q[1];
rz(2.3681113194574674) q[1];
rx(0.004536411622978497) q[2];
rz(2.133366640905808) q[2];
rx(-0.10866288065244802) q[3];
rz(2.2931739779397198) q[3];
rx(0.03940300495578412) q[4];
rz(2.0... | 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
2,
-0.5,
-0.25,
-0.25,
0.25,
-0.25,
-1.25,
0.25,
0.5,
-1.75,
0.75,
1.5,
0
] | 0.970637 | [
0.129749767988939,
0.2799327630808552,
-0.108662880652448,
0.7973149926625709,
0.004536411622978496,
0.5625703141109113,
0.7223776511448223,
0.039403004955784124,
0.4882744886423105,
0.06586133065035979,
0.5072858765314702,
0.5112305744463932,
0.389718831934279,
1.3419583646118771,
-0.13... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 7 |
b426b8aff164c6823b185eb6b091738d | kclique | adaptive_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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [38, 7], "expectation_value": -6.6048679557373084, "params": null, "bitstrings": ["011001", "111000"], "total_optimization_steps": 54, "probabilities": [0.10494263610666708, 0.6036000662340474], "optimization_time": 74.69833159446716} | 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 *... | 16 | 6 | 1 | {"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... | null | {"k": 3} | {"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];\ncry(-1.5708) q[5], 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 ... | [
"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 |
-897495748697741957 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 5, 10], [1, 3, 4, 6, 7, 10], [0, 1, 2, 3, 4, 10], [0, 2, 4, 7, 8, 9], [0, 9, 3, 5], [9, 2, 5], [9, 5, 1, 6], [8, 1, 3, 6], [4, 5], [1, 2, 4, 6, 7, 10], [8, 9, 0, 1], [0, 3, 6, 7], [0, 5, 6, 9, 10], [1, 3, 7, 9, 10], [0, 2, 3, 4, 8, 9], [8, 1, 2, 5],... | {"states": [1887, 1883], "expectation_value": -4.2658356361769485, "params": [1.5574000000000001, -0.0024000000000000002, 1.5887, 0.0051, 1.3598000000000001, -0.0032, 1.4035, 0.0068000000000000005, 1.5766, 0.0022, 1.5606, 0.007200000000000001, -0.0021000000000000003, -1.6334000000000002, -0.0022, 0.0015, 1.573000000000... | 0.16666666666666669 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3 * (Z(5) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.2 * (Z(10) @ Z(1)) + 0.18333333333333335 * (Z(10) @ Z(0)) + 0.21666666666666667 * (Z(10) @ Z(3)) + 0.1 * (Z(10) @ Z(5)) + ... | 7 | 11 | 1 | {"smallest_eigenvalues": [-4.583333333333334, -4.583333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.483333333333334, "smallest_bitstrings": ["00010100100", "00001010010"], "largest_eigenvalue": 20.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.3877050137668006) q[0];
rz(0.008661692797070408) q[0];
rx(1.5650436686604003) q[1];
rz(-0.13492598932776137) q[1];
cx q[1], q[0];
rz(-0.04132848094378232) q[0];
cx q[1], q[0];
rx(1.7134213930621576) q[0];
rz(0.08803833893860856) q[0];
rx(1.449405402928573) q[1];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"ZIIIIIZIIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZZIII... | [
0.16666666666666669,
0.25,
0.3333333333333333,
0.3,
0.18333333333333335,
0.13333333333333333,
0.2,
0.18333333333333335,
0.21666666666666667,
0.1,
0.13333333333333333,
0.15000000000000002,
0.15000000000000002,
0.5,
0.31666666666666665,
0.35,
0.18333333333333335,
0.25,
0.3833333333... | 0.976618 | [
1.3877050137668006,
-0.03266678814671211,
1.5650436686604003,
-0.13492598932776137,
1.5700281183287585,
0.011035481494888977,
-0.005596655548876707,
-1.5099051812125466,
1.830834309475233,
0.05113207639705829,
-0.019340705544716813,
1.459691042612497,
1.4766451582250335,
1.7024270830046524... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -4.583333333333334,
"target_ratio": 0.97,
"target_value": -4.445833333333334
} | 6 |
b444c46422c6f790da88092fcca7cf9d | 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": [359, 327], "expectation_value": -80.87770494984588, "params": [-0.006200000000000001, 0.7419, 1.391, 0.0025, 0.0045000000000000005, 0.2132, 1.3954, -0.1705, 0.7838, -0.29200000000000004, 0.5855, 0.4575, 0.0017000000000000001, 0.8252, 1.4009, -0.0027, 1.395, -0.0031000000000000003, 1.3971, 0.2373, -0.0062000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(7)) + 20.0 * Z(1) + -2.0 * Z(0) + 15.0 * Z(4) + 12.5 * Z(3) + ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010111000"], "largest_eigenvalue": 178.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1171050335463502) q[0];
rz(1.2466299203078002) q[0];
rx(1.4881382963506) q[1];
rz(0.10763686277972132) q[1];
rx(-0.020090622740726573) q[2];
rz(0.16547921837416235) q[2];
rx(1.537944964615497) q[3];
rz(-0.057121673328537126) q[3];
rx(0.1852530138924294) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
20,
-2,
15,
12.5,
5,
19,
-4,
9,
14,
-11.5
] | 0.970387 | [
0.11710503354635018,
0.9137833805344056,
1.4881382963506,
0.10763686277972132,
-0.020090622740726573,
0.16547921837416235,
1.537944964615497,
-0.057121673328537126,
0.1852530138924294,
-0.37256016127903696,
0.07408991955175491,
0.43198134549986555,
-0.09048593628532718,
0.7381785485348031,... | {
"n_parameters": 57,
"n_qubits": 10,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 10 |
b10e647670f759bc4f3dd1387515cbab | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -3.49639804156796, "params": null, "bitstrings": ["101001", "001101"], "total_optimization_steps": 23, "probabilities": [0.06635196634149224, 0.9303270202936694], "optimization_time": 17.482128381729126} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | 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[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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
0,
-0.5
] | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
9994d9c0864e8ab88d6d9169e088b46e | vertex_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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [42, 26], "expectation_value": -2.767223286827866, "params": [0.0013000000000000002, -0.0023, 0.21980000000000002, 0.221, 0.2622, 0.2536, 0.29810000000000003, 0.29660000000000003, -0.0059, -0.008700000000000001, 0.2988, 0.3047, 0.08220000000000001, 0.0907, 0.0009000000000000001, 0.0032, 0.2078, 0.2131, 0.256... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(3) | 14 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1110001", "1101100", "1100101", "0110011", "1011100", "1010101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) 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] x11;
in... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
-0.5,
0
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
42fc1cab65130010b16c5206f9faaa99 | kclique | 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": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [37, 7], "expectation_value": -22.048378033372657, "params": null, "bitstrings": ["11011010", "11111000"], "total_optimization_steps": 92, "probabilities": [0.07807308879076097, 0.6009750956398249], "optimization_time": 210.54894280433655} | 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(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 3 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "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(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | null | {"k": 5} | {"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(-0.197) 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] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
3320932589923452721 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [1, 6], [1, 5], [1, 7], [3, 6], [0, 4], [0, 6], [5, 6], [2, 6], [1, 2], [3, 7], [4, 5]]} | {"states": [90, 165], "expectation_value": -0.1269201237486887, "params": [[0.0748], [-0.0669]], "bitstrings": ["10100101", "01011010"], "total_optimization_steps": 10, "probabilities": [0.004637859964811577, 0.004637859964811577], "optimization_time": 1.7786245346069336} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011010", "10100101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.26682091506676353) q[0];
rz(1.4309365316191167) q[0];
rx(2.769144721440527) q[1];
rz(1.5887377994576273) q[1];
rx(-0.1373589195020712) q[2];
rz(1.5042748792213168) q[2];
rx(2.488063391905118) q[3];
rz(1.6889092661788156) q[3];
rx(1.6316248622682434) q[4];
rz(1.6889... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIZIIIZ",
"IIZZIIII",
"IIIIIZZI",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII"
] | [
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
] | 0.979257 | [
0.2668209150667635,
-0.13985979517577984,
2.769144721440527,
0.01794147266273057,
-0.1373589195020712,
-0.06652144757358085,
2.488063391905118,
0.11811293938391901,
1.6316248622682432,
0.11034217280892343,
0.29752453433573667,
1.689592615954757,
0.1127357156816269,
0.20624065973925879,
-... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 95 |
44f6b31e8ce09e476aa687c2c73c6e99 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [6, 102], "expectation_value": -3.061028844694119, "params": [0.091, 0.19840000000000002, 0.5035000000000001, -0.00030000000000000003, 0.5016, -0.0022, 0.2245, -0.07440000000000001, 0.3548, 0.0006000000000000001, 0.4985, -0.0051, 0.501, -0.015700000000000002, 0.1884, -0.1491, 0.091, 0.1973, 0.507500000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(6) + -1.0 * Z(7) + 0.0 * Z(1) + -1.0 * Z(5) + -0.... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["10011001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.02396139173156293) q[0];
rz(1.49948543351082) q[0];
rx(0.6434560506712912) q[1];
rz(1.32614431817135) q[1];
rx(0.7664250431148766) q[2];
rz(1.8672843520359006) q[2];
rx(-0.03125282541172664) q[3];
rz(0.8738545086097282) q[3];
rx(0.049402514932130416) q[4];
rz(1.66... | 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": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIZIZIII",
"ZIZIIIII",
"IZIZIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIZIIII"
] | [
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,
0,
-1,
-0.5
] | 0.973647 | [
-0.023961391731562927,
-0.07131089328407772,
0.6434560506712912,
-0.24465200862354664,
0.7664250431148765,
0.29648802524100387,
-0.031252825411726644,
-0.6969418181851695,
0.04940251493213042,
0.09275175428523515,
0.42693014093428905,
0.3141586002768133,
1.2370123108133952,
-0.058783937377... | {
"n_parameters": 65,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 21 |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | adaptive_vqe | {"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": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [33, 1], "expectation_value": -11.74999348972191, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 17, "probabilities": [0.4999996713631394, 0.4999996713631394], "optimization_time": 12.438218116760254} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1011110", "1111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4347318003186254) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.16558273416228064) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.026421426916743207) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.43592444188839763) ... | null | {"source": 0, "sink": 6} | {"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[6];\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", "... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.25,
2.5,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
0.25,
-1.5,
2.25,
1.5,
-1.25
] | 0.970144 | [
-0.4347318003186254,
-0.16558273416228064,
0.026421426916743207,
-0.5217462601275333,
0.4586231555137733,
-0.43592444188839763,
-0.33453436399480646,
-0.03001001646313847,
-0.1127609036020698,
0.2503598948291178,
-1.103129003830037,
-0.7059981088306357,
-0.21330762283364263,
0.040023523320... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 182 |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | qaoa | {"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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 33], "expectation_value": -0.06908885415355752, "params": [[-0.040600000000000004, -0.0367, 0.0507], [0.051000000000000004, 0.0475, -0.0119]], "bitstrings": ["101101", "011110"], "total_optimization_steps": 10, "probabilities": [0.016995888626565467, 0.016995888626565488], "optimization_time": 4.7657885... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIIZ",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IZIZII",
"IZZIIZ",
"IIZZIZ",
"IZIZIZ",
"IZZZII",
"IZZZIZ",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
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,
-0.5,
-0.625,
-0.125,
-0.625,
-0.5
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
ea6f28b1d52734982303edc3e4a649bb | 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": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [206, 110], "expectation_value": -24.185413123433555, "params": [[-0.0342, 0.0002, 0.008700000000000001], [0.0751, 0.0616, 0.0531]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01282775526791171, 0.014347647987465389], "optimization_time": 7.178169250488281} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ 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(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 1 | 8 | 3 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
3.5,
17.5,
13.5,
8,
11.5,
20.5,
11.5
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
6762673060084999459 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 6], [3, 6], [0, 1, 3, 4, 5], [2, 4]]} | {"states": [108, 120], "expectation_value": -0.012526812380336734, "params": [[-0.038200000000000005], [0.0392]], "bitstrings": ["0010011", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008004856340421598, 0.008014229122902809], "optimization_time": 1.900292158126831} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.2, -2.2, -2.2], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0010011", "0000111", "0000101"], "largest_eigenvalue": 3.0000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
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[6], q[0];
rz(-4.089788981842374e-08) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-4.089788981842374e-08) q[1];
cx q[6], q[1];
cx q[0], q[1];
rz(1.7986856156274437e-08) q[1];
cx q[0], q[1];
cx q[6], q[3];
rz(-4.0897... | 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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[0], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIIZI",
"IIIIIZZ",
"ZIIZIII",
"IIIZIIZ",
"IIIZIZI",
"IIZIIIZ",
"IIZIIZI",
"IIZZIII",
"IZIIIIZ",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIZIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.05,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0,
0.1000000000000002,
0.1000000000000002,
0.1000000000000002,
0.09999999999999998,
0.1,
0
] | 0.909091 | [
-4.089788981842374e-8,
1.7986856156274437e-8,
1.5707963441724935,
-1.5707962876649364,
1.5707963298410752
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 172 |
294512af72c0fecd4cefe8fd6a356b5c | matching | adaptive_vqe | {"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}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [47, 109], "expectation_value": -35.43673122360108, "params": null, "bitstrings": ["11010000", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11976868504268683, 0.1765281471536214], "optimization_time": 147.01314735412598} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 111.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) q[4];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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(22.4081) 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... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
11.5,
13,
-3,
2,
14,
9.5,
12.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
9e8a866d2c0011b6946d4c64e758f31c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 124], "expectation_value": -16.204953715364653, "params": [[0.0227, 0.0158], [-0.0427, -0.0623]], "bitstrings": ["10000010", "10000011"], "total_optimization_steps": 10, "probabilities": [0.008187054370381633, 0.009809075777864782], "optimization_time": 3.9635186195373535} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 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(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) 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] ... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
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,
15.5,
12,
15.5,
16.5,
19.5,
16,
4.5,
3.5
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
4ef5b8ae9f7c2af9940d89976f60e031 | 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": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [129, 1], "expectation_value": -13.999993443837631, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [6.489457528111626e-07, 0.9999993343841902], "optimization_time": 18.48148822784424} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12795288251019715) q[0];
rz(0.24012887220426693) q[0];
rx(0.0892816584470969) q[1];
rz(0.12199048082542863) q[1];
rx(-0.012922376209588068) q[2];
rz(0.4041909632624687) q[2];
rx(0.13809242364631746) q[3];
rz(0.4687173788579586) q[3];
rx(-0.01794629686584754) q[4];
... | 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];\nry(-1.5708) 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] = measure q... | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-0.75,
-1.5,
-1.25,
-0.25,
-0.25,
-0.25,
-1.5,
-2,
2.5,
-1,
-1.75,
0.5,
-0.25,
1,
-0.75,
-1.5,
1.25,
1.5,
-1.75
] | 0.980057 | [
0.12795288251019715,
0.36515474621129923,
0.08928165844709691,
0.3610421282986562,
-0.012922376209588065,
0.6757660327954275,
0.13809242364631746,
0.7349772309805058,
-0.01794629686584754,
0.6399489508110254,
0.02283802795312584,
0.4418410307019969,
0.13336840086936805,
0.48443543887262297... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 7 |
8672f4adf41d38ee04f91cc5c89bd1b9 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, ... | {"states": [125, 93], "expectation_value": -2.088126678078019, "params": [0.0024000000000000002, 0.0067, 0.4141, 0.001, 2.2032000000000003, 0.0098, 1.5587, 0.0033, 2.1984, 0.0033, 2.2037, 0.0095, 2.2066, 0.0038, 0.3859, 0.0083, 2.1166, 0.0015, 0.01, 0.001, 0.008700000000000001, 0.0029000000000000002, 0.0044, 0.008, 0.0... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) ... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["110000110", "110000011", "100110010", "110001001", "110100010"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.767535734217575) q[0];
rz(-0.18480173587997673) q[0];
rx(-0.2449776184979738) q[1];
rz(0.31834320047941134) q[1];
rx(0.8890782725124345) q[2];
rz(-0.09071610682398124) q[2];
rx(0.025665816793467622) q[3];
rz(-0.07031166353243012) q[3];
rx(0.0054482648087566315) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIZZZI",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"IIZZZIIIZ",
"IZIIIIZII",
"ZIIIIIZII",
"ZZIIIIIII",
"ZZIIIIZII",
"IZIZIIIII",
"... | [
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,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.25,
0,
0,
-0.125,
-0.125,
0.125,
-0.25,
0
] | 0.970124 | [
0.7675357342175749,
-0.13075798510883022,
-0.2449776184979738,
0.1871783546586522,
0.8890782725124347,
-0.049947591842383746,
0.02566581679346762,
0.0030859083627749473,
0.005448264808756631,
0.5874428011585786,
0.27754671454581936,
0.9508178434365301,
0.03123128439544767,
0.02949286552577... | {
"n_parameters": 78,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
857e65bd5af79cea0e3b06ea35e9b80e | 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": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.5668571685608692, "params": [[0.0292, 0.0775], [-0.008700000000000001, -0.0575]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010310884319702493, 0.01065271010375203], "optimization_time": 3.1196470260620117} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * Z(2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1100000", "1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2769341436219489) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.057074071219356405) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.057074071219356405) q[1];
cx q[2], q[1];
rz(0.057074071219356405) q[3];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIZZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
1.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.25,
-2.25,
1,
-0.5,
2
] | 0.733794 | [
-0.2769341436219489,
0.057074071219356405,
0.18472090887069437,
-1.6078992780258565,
-1.5695343960588928,
1.488828008408487,
-1.4186602505274495,
-1.5303598749129772,
1.167335064925295
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 215 |
24e9c86cfdb3e8240ca21f54feb2ae3f | 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": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [249, 244], "expectation_value": -18.138488833851092, "params": [[-0.0386, 0.011600000000000001, 0.0596], [0.0632, 0.012, -0.042100000000000005]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005320499657555952, 0.006813001030126606], "optimization_time": 6.24... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1178989666848208) q[0];
rz(-1.3114878748394567) q[0];
rx(3.429660772059215) q[1];
rz(1.9519683519629236) q[1];
rx(3.2428870245089425) q[2];
rz(0.30989050063345075) q[2];
rx(0.07615240872314868) q[3];
rz(-1.4919322889468147) q[3];
rx(-0.2292526277419854) 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[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"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,
14.5,
12,
17,
17.5,
15,
2,
14.5,
2.5,
2
] | 0.981831 | [
0.1178989666848208,
-1.3114878748394567,
3.429660772059215,
1.9519683519629236,
3.2428870245089425,
0.30989050063345075,
0.07615240872314868,
-1.4919322889468147,
-0.2292526277419854,
0.323037351350365,
0.025479403557775504,
0.6535127034426061,
3.2061650365182963,
1.4357872245650392,
3.3... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 27 |
faf4b0caa7c698b3ebcd75f4504d4ae4 | 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": [165, 229], "expectation_value": -66.30831806206619, "params": [[0.0014, -0.008700000000000001, 0.5837, 0.9976, 1.0007000000000001, 1.0002, 0.1388, 0.1832, 0.9958, 0.0022, 0.9892000000000001], [0.0021000000000000003, 0.0009000000000000001, 0.5585, 0.2989, 0.3916, 0.5368, 0.047900000000000005, 0.1698, 0.999, ... | 7.5 * (Z(1) @ Z(4)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(10) @ Z(6)) + 16.5 * Z(4) + -4.0 * Z(1) + 9.5 * Z(2) + 13.5 * Z(3) + 9.5 * Z(5) + 1.0 * Z(6) + 5.0 * Z(7) + 9.5 *... | 10 | 11 | 2 | {"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["11100011010"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.16117582769907227) q[0];
ry(-0.26253185957149416) q[1];
ry(0.10999305452674658) q[2];
ry(1.7938332895139861) q[3];
ry(1.2229540762133508) q[4];
ry(1.619950134854814) q[5];
ry(0.20404859251867874) q[6];
ry(0.41526259849548286) q[7];
ry(0.5303425701492367) q[8];
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIZZII",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IIZIIIIIIIZ",
"ZIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
16.5,
-4,
9.5,
13.5,
9.5,
1,
5,
9.5,
-6.5,
-2,
-11
] | 0.971105 | [
0.16117582769907227,
-0.26253185957149416,
0.10999305452674658,
1.7938332895139861,
1.2229540762133508,
1.619950134854814,
0.20404859251867874,
0.41526259849548286,
0.5303425701492367,
-0.1554252341174936,
0.6768613301079791,
0.011444863223498108,
0.7409381285292036,
0.03636753496998624,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -113,
"target_ratio": 0.97,
"target_value": -109.61
} | 38 |
4eebe9a8a97a840077f78c3a170e65f1 | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.45861977275450194, "params": [[-0.033600000000000005, -0.0323, -0.0751], [0.0364, 0.029, 0.0637]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01204691336253044, 0.012855570918070509], "optimization_time": 6.0716352462768555} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2761211352183031) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.13717878779095488) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2761211352183031) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.13808832036080526) q[5... | 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",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0,
-0.25,
0.75,
-0.5,
0,
-0.5,
0.5
] | 0.959466 | [
-0.2761211352183031,
0.13808832036080526,
0.13717878779095488,
-0.2208905765275829,
-0.6091682224936915,
0.12825958314828695,
-0.6660683162981736,
1.4990730486084969,
-0.35178542503829574,
0.3184564914299048,
0.38589115212704433,
-0.5285511882352306,
-0.4855828621421047,
-0.654983086342713... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 500 |
-4120562060076382014 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 3, 4, 7], [0, 3, 6], [1, 2, 4], [8, 1, 6, 9], [0, 4, 5, 7, 8], [8, 2, 7], [2, 4, 6], [1, 4, 6, 7, 9], [0, 1, 6, 7], [0, 1, 4, 5, 8], [8, 2, 4], [9, 2, 1], [9, 3], [0, 9, 4, 7], [0, 9, 1, 6], [9, 5, 6], [2, 3, 5, 7], [2, 5, 6, 7], [1, 3, 5, 7]]} | {"states": [510, 382], "expectation_value": -3.2234689006088737, "params": [0.6399, 0.3244, 0.6407, 0.007500000000000001, 1.2936, -0.0257, 1.2932000000000001, 0.0666, 0.6749, 0.31470000000000004, 0.6798000000000001, 0.0019, 1.0478, 0.0001, 1.2734, 0.0082, 1.1433, -0.0364, 1.1372, 0.0029000000000000002, 1.2923, -0.4047,... | 0.05 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.5499999999999999 * (Z(4) @ Z(2)) + 0.23333333333333334 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.3833333333333333 * (Z(7) @ Z(2)) + 0.26666666666666666 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.23333333... | 8 | 10 | 1 | {"smallest_eigenvalues": [-4.633333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.383333333333335, "smallest_bitstrings": ["1010000001"], "largest_eigenvalue": 18.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14408365959880026) q[0];
rz(2.0545779396194126) q[0];
rx(1.8055554179283573) q[1];
rz(-0.1302711826175024) q[1];
cx q[1], q[0];
ry(0.08946944790949887) q[0];
cx q[1], q[0];
ry(-0.18250797741576832) q[0];
rz(-1.6907389961725805) q[0];
rx(1.2329922102791808) q[1];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIIZIIII",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIZIIIIIZI"... | [
0.05,
0.13333333333333333,
0.21666666666666667,
0.5499999999999999,
0.23333333333333334,
0.05,
0.3833333333333333,
0.26666666666666666,
0.21666666666666667,
0.23333333333333334,
0.25,
0.3333333333333333,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.3333333333333333,... | 0.971607 | [
0.14408365959880026,
0.48378161282451626,
1.8055554179283573,
-0.1302711826175024,
0.17879231617645278,
0.1879807749196047,
0.9596147935000905,
-0.10353970618107833,
1.9817820380198896,
0.09565414800863647,
0.876137022891828,
-0.404467253779733,
1.3412950964439487,
-0.21208651759607977,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -4.633333333333333,
"target_ratio": 0.97,
"target_value": -4.494333333333333
} | 21 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [6, 7], "expectation_value": -5.131480279836375, "params": [[[0.082, 0.3103], [0.15660000000000002, 0.2051], [0.15990000000000001, 0.2205], [0.6601, -0.0023], [0.6546000000000001, -0.0034000000000000002], [0.4768, -0.0032]], [[0.09090000000000001, 0.3013], [0.15480000000000002, 0.2156], [0.1574, 0.2202], [0.... | 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(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 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;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 30], "expectation_value": -3.9998990634532334, "params": null, "bitstrings": ["100010", "100001"], "total_optimization_steps": 25, "probabilities": [1.641445737550844e-05, 0.9999303761353144], "optimization_time": 14.385314464569092} | 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(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | 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... | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
0,
0
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
-2786189512650659487 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 4], [0, 2, 3, 5, 6], [0, 1, 3, 6], [0, 2, 4, 6], [0, 1, 2, 6]]} | {"states": [73, 89], "expectation_value": -1.1865188833523173, "params": null, "bitstrings": ["0110110", "0100110"], "total_optimization_steps": 35, "probabilities": [0.06958525248120717, 0.7196547581470917], "optimization_time": 46.726110219955444} | 0.3 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.3 * (Z(6) @ Z(0)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2833333333333337, -1.2833333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2833333333333334, "smallest_bitstrings": ["1000000", "0100110"], "largest_eigenvalue": 5.000000000000001} | 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(-7.148606800461633e-09) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(4.140468559653124e-09) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[2];
rz(4.563133859199164e-08) q[2];
cx q[3], q[2];
rz(-0.42403104157730326) q[4... | 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(1.5218) 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];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIIZZII",
"IIIIZIZ",
"IIZIZII",
"IZIZIII",
"IZIIIIZ",
"IZIIZII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIZIZI",
"IIIIIZZ",
"IIIIZZI",
"ZIIIIZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"III... | [
0.3,
0.16666666666666666,
0.25,
0.05,
0.21666666666666667,
0.08333333333333333,
0.05,
0.05,
0.05,
0.13333333333333333,
0.3,
0.08333333333333333,
0.21666666666666667,
0.05,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3916666666666668,
0.... | 0.951299 | [
-7.148606800461633e-9,
4.140468559653124e-9,
-0.42403104157730326,
4.563133859199164e-8,
6.883576332359051e-8,
-9.06957284277229e-9,
-2.8797989409447714e-8,
-1.5707962380426346,
1.5707963005940158,
-1.5707961732887574,
-1.5707964242566583,
1.5707952014738615,
-1.570796403766552,
1.57079636... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.2833333333333337,
"target_ratio": 0.97,
"target_value": -1.2448333333333337
} | 366 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | adaptive_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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [22, 7], "expectation_value": -12.417137422486988, "params": null, "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 64, "probabilities": [0.10636678277270013, 0.6088615559824023], "optimization_time": 115.57831931114197} | 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)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 4 | {"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;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | null | {"k": 4} | {"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(-1.5577) 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",
"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,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
3c6a0f75571e718d8fbaf4d718e39505 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [1452, 1454], "expectation_value": -2.319677078504973, "params": [[[0.6855, 0.006200000000000001], [0.2384, 0.0025], [0.6996, -0.0159], [0.7024, 0.08220000000000001], [0.2655, 0.5599000000000001], [0.7044, 0.17020000000000002], [0.4645, 0.1804], [0.1988, 0.6899000000000001], [0.1208, 0.5857], [0.514500000000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010001001", "10001010001", "10000001101", "01011000001", "10000011001", "10000010011", "01001000101", "01... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.024969263718757094) q[0];
rz(0.838466479483619) q[0];
ry(0.4543828048928915) q[1];
rz(0.9774482153118855) q[1];
cx q[1], q[0];
ry(-0.14349311077027735) q[1];
rz(0.14845698270035257) q[1];
ry(1.6406173499573802) q[2];
rz(-0.056617967186184705) q[2];
ry(1.6086760675... | 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",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIZZZII",
"IIIIIIZZZIZ",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIZZIII... | [
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,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.... | 0.973 | [
0.024969263718757094,
0.838466479483619,
0.4543828048928915,
0.9774482153118855,
1.6406173499573802,
-0.056617967186184705,
1.6086760675696128,
0.1312333854197392,
1.6971655849709717,
0.039777741379520844,
-0.01686345976190709,
0.22016387161090592,
1.5972859335962972,
-0.10288603590630956,... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 19 |
40a3686841126450928dceb82dd758e7 | matching | 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": [{"weight": 4, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 6}, {"weight": 12, "source": 1, "target": 8}, {"weight": 9, "source... | {"states": [220, 216], "expectation_value": -26.973625390478738, "params": [[[0.26180000000000003, 0.22820000000000001], [0.7051000000000001, 0.0036000000000000003], [0.7067, -0.0019], [-0.0041, 0.5122], [0.6934, 0.003], [0.6927, 0.0029000000000000002], [0.4844, 0.09040000000000001], [0.22290000000000001, 0.2368], [0.2... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 3.0 * Z(1) + -2.0 * Z(0) + 4.0 * Z(2) + -4.5 * Z(4) + -9... | 1 | 9 | 3 | {"smallest_eigenvalues": [-49.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.0, "smallest_bitstrings": ["100100111"], "largest_eigenvalue": 77.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.010535229166592759) q[0];
rz(1.6708505586772517) q[0];
rx(0.05659682923711071) q[1];
rz(1.5941089775117891) q[1];
rx(0.3008851414713372) q[2];
rz(0.9482688896638329) q[2];
rx(-0.09419481840028127) q[3];
rz(1.4583930581532467) q[3];
rx(-0.07940964065019382) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
3,
-2,
4,
-4.5,
-9.5,
-1,
-1.5,
-4,
-1.5
] | 0.974347 | [
0.01053522916659276,
0.10005423188235504,
0.056596829237110714,
0.023312650716893007,
0.3008851414713372,
-0.6225274371310635,
-0.09419481840028124,
-0.11240326864165058,
-0.0794096406501938,
-0.319143768372443,
0.15500528475502906,
-0.2247971232511546,
0.10163290760664283,
0.4183081527090... | {
"n_parameters": 173,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 191 |
404057c7f12171487b8e4c0dec61ffa3 | 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": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [7, 31], "expectation_value": -3.4512643325992425, "params": null, "bitstrings": ["111000", "100000"], "total_optimization_steps": 45, "probabilities": [0.08562209917446545, 0.7253294113483193], "optimization_time": 30.14455008506775} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.0} | 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];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h q[3];
... | 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];\ncry(1.57) q[3], 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];\n", "OPENQASM 3.0;\ninclude \"s... | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
-6717123848239722259 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 11], [9, 10], [5, 7], [9, 5], [8, 0], [8, 4], [0, 6], [8, 3], [0, 9], [0, 5], [8, 11], [8, 1], [3, 7], [11, 7], [6, 7], [10, 6], [1, 3], [1, 10], [2, 5]]} | {"states": [2714, 2586], "expectation_value": -0.15770310198476306, "params": [1.7274, 0.007500000000000001, 1.4514, 0.0095, 1.7181000000000002, 0.003, 1.4319000000000002, 0.0081, 1.4838, 0.0013000000000000002, 1.4077000000000002, 0.0001, 1.3813, 0.0079, 1.7387000000000001, 0.0035, 1.6928, 0.0078000000000000005, 1.4222... | 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (... | 16 | 12 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["010111100101", "101000011010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.0628534747918885) q[0];
rz(-1.0537136506769151) q[0];
rx(0.1339119866177761) q[1];
rz(-0.4811268074061974) q[1];
cx q[1], q[0];
rz(-0.10836253552968511) q[0];
cx q[1], q[0];
rz(-0.24977254888313594) q[1];
rx(3.096885005805066) q[2];
rz(1.1172854837223785) q[2];
rx... | 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": []} | [
"ZIIIIIIIIIIZ",
"IIZIIIIIIIIZ",
"IZZIIIIIIIII",
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"ZIIIZIIIIIII",
"IIIIZIZIIIII",
"ZIIZIIIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIZIIII",
"IIIIIZIIIIIZ",
"IZIIIZIIIIII",
"IIIIZZIIIIII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IZIIIIIIIIZI",
"IIIZIIIIIIZI",
"IIIIIIIIZ... | [
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
] | 0.971951 | [
3.0628534747918885,
-1.1620761862066005,
0.1339119866177761,
-0.4811268074061974,
3.096885005805066,
0.6596569571845662,
-0.10112732705396671,
0.6564375642721573,
0.05366744928958463,
-0.5150019211519489,
0.40997050936818763,
-0.8352051359437551,
-0.16316407527839216,
1.3804390526615022,
... | {
"n_parameters": 35,
"n_qubits": 12,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 48 |
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