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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7785e3e7ad6fcc746d4b86c67fd57c41 | 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": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [63, 45], "expectation_value": -2.5800353360851505, "params": [[-0.0674, -0.054200000000000005, -0.0341, 0.047900000000000005], [0.0781, 0.07100000000000001, 0.0693, 0.0262]], "bitstrings": ["1000000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.01775119192142895, 0.019731322733518148], "... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | 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",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
-5158734754257538344 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 5], [1, 4, 5, 7], [0, 2, 4, 5], [3, 4, 6, 7], [1, 3, 5, 6], [0, 7], [2, 4, 7], [2, 6], [0, 3, 4, 5], [0, 1, 4], [2, 3, 5, 7]]} | {"states": [15, 79], "expectation_value": -0.12104685813174652, "params": [[0.0767], [-0.0707]], "bitstrings": ["11110000", "10110000"], "total_optimization_steps": 10, "probabilities": [0.004270556337322125, 0.0042836973590122274], "optimization_time": 0.9685139656066895} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["10110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4352692689425637) q[0];
h q[1];
ry(0.25241742320702487) q[1];
h q[2];
ry(-0.6206485566999935) q[2];
h q[3];
ry(-0.20139527821912206) q[3];
h q[4];
ry(1.5688089365527882) q[4];
h q[5];
ry(1.4842951022312039) q[5];
h q[6];
cx q[6], q[2];
ry(0.620648556699993... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZIIZIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IZIIIZII",
"IZIIIIZ... | [
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.083333333333333... | 0.972743 | [
1.5688089365527882,
1.4842951022312039,
-0.8705385378851274,
0.7468940178286437,
-1.241297113399987,
0.7851624146518696,
-0.5513999878699167,
0.48731210831155797,
-0.5219133304110188,
0.683120745263448,
-0.289277931865836,
-0.41303723134293224,
0.5048348464140497,
0.13511717874162635,
0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -2.8333333333333344,
"target_ratio": 0.97,
"target_value": -2.7483333333333344
} | 5 |
0331c5ff83e33f6c47413b32d0c31ca9 | 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": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target":... | {"states": [1024, 1023], "expectation_value": -29.56903068948716, "params": [[[0.0036000000000000003, 0.0031000000000000003], [0.0025, -0.0026000000000000003], [0.0026000000000000003, 0.0025], [0.0076, 0.0021000000000000003], [0.0122, 0.0022], [0.0015, 0.0024000000000000002], [-0.0018000000000000002, -0.0028], [-0.0019... | -1.5 * (Z(0) @ Z(7)) + -3.0 * (Z(6) @ Z(7)) + -0.75 * (Z(1) @ Z(6)) + -1.25 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(3)) + -3.0 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(1)) + -2.0 * (Z(10) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-30.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 30.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.28138618053326575) q[0];
ry(-0.017598855875054012) q[1];
ry(0.1831778598571224) q[2];
ry(-0.17688784676693667) q[3];
ry(0.032896764892067776) q[4];
ry(0.055323058935125916) q[5];
ry(0.20365398777937221) q[6];
ry(-0.06844819877349348) q[7];
ry(0.11420958527020492)... | 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": []} | [
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIIZIIIIZI",
"IIIZIZIIIII",
"IIIIZZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"ZIIIZIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IIIZIIZII... | [
-1.5,
-3,
-0.75,
-1.25,
-1,
-1.25,
-1.5,
-0.25,
-1,
-0.5,
-1.25,
-3,
-1.5,
-2,
-1,
1.75,
-1,
-1.25,
-1.25,
-1,
-0.25,
-0.5,
-1,
-2,
-0.5,
-1.5,
0.75,
-0.25,
-0.75,
-2,
-2.5,
1.25,
-0.25,
2.25,
-2.5,
0.5,
3.5
] | 0.970796 | [
-0.28138618053326575,
-0.017598855875054012,
0.1831778598571224,
-0.17688784676693667,
0.032896764892067776,
0.055323058935125916,
0.20365398777937221,
-0.06844819877349348,
0.11420958527020492,
0.00928236693572751,
0.053759098321894475,
0.003142482586112204,
-0.08184836657513699,
-0.03985... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -30.25,
"target_ratio": 0.97,
"target_value": -29.342499999999998
} | 46 |
3c6a0f75571e718d8fbaf4d718e39505 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [68, 71], "expectation_value": -5.999934070824497, "params": null, "bitstrings": ["0111011", "0111000"], "total_optimization_steps": 33, "probabilities": [1.3834082752150245e-05, 0.9999481814112822], "optimization_time": 35.7763454914093} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 13.0} | 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-2,
-1,
-1,
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 |
8307422020024253893 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [1, 4], [1, 6], [0, 7], [1, 2], [5, 6], [2, 3], [2, 7], [2, 4], [4, 6], [0, 6], [3, 4], [1, 7], [0, 5], [2, 5], [4, 7], [0, 3], [2, 6], [0, 4]]} | {"states": [15, 240], "expectation_value": -0.08695850197054124, "params": [[-0.0441], [0.0528]], "bitstrings": ["11110000", "00001111"], "total_optimization_steps": 10, "probabilities": [0.004164723480909637, 0.004164723480909637], "optimization_time": 0.7683727741241455} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-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], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["10100010", "11101000", "10101010", "11110000", "11100010", "11100000", "10101000", "01010111", "01010101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.33887130833332424) q[0];
h q[1];
ry(1.5123073250002448) q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.33887130833332424) q[0];
cx q[3], q[0];
ry(-0.32434971578236105) q[0];
h q[4];
h q[5];
h q[6];
ry(-0.3125575731273749) q[6];
cx q[4], q[6];
ry(0.3125575731273... | 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[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"IZIIZIII",
"IZIIIIZI",
"IZIZIIII",
"IIIZZIII",
"IIIZIIZI",
"IZIIIIIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIIIIIZ",
"IZIIIZII",
"IIIIZZII",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970234 | [
-0.6251151462547498,
1.47450391346392,
-0.1770834601677002,
1.1209715070024282,
-0.6777426166666485,
-0.08283942904563193,
0.9714252589588999,
1.5123073250002448,
-0.6303911697300651,
-0.8575031936240858,
0.22465543681008726,
-0.6486994315647221,
0.2533978442595692,
0.0047521035023732295,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 47 |
e0076bba616d817cfe083e061fa47dee | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"sour... | {"states": [41, 105], "expectation_value": -6.152076814591172, "params": [0.0, -0.0013000000000000002, -0.0068000000000000005, -0.007200000000000001, 0.315, 0.3163, 0.5342, 0.541, -0.00030000000000000003, -0.0006000000000000001, 0.5289, 0.5377000000000001, -0.0221, -0.016900000000000002, 0.0015, -0.0051, 0.519, 0.5202,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(2) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010110", "100010111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.07237432058199164) q[0];
rz(0.030996071940122882) q[0];
ry(0.016692544653121463) q[1];
ry(0.5379945817755462) q[2];
ry(0.5379955327860455) q[3];
ry(-0.08002032498703959) q[4];
ry(0.7300170096495784) q[5];
ry(0.1887918948951101) q[6];
ry(-0.11150771107608815) q[7];
... | 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] 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 flo... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIZIIIII",
"IIIIZIIZI",
"IZIIIIIZI",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-2,
-1,
-0.5,
-0.5,
0
] | 0.981632 | [
0.07237432058199164,
0.016692544653121463,
0.5379945817755462,
0.5379955327860455,
-0.08002032498703959,
0.7300170096495784,
0.1887918948951101,
-0.11150771107608815,
0.3198448441653221,
0.061992143880245765,
-0.3056944666355268,
-0.3932554749137322,
-0.16255901926815244,
-0.47155461221408... | {
"n_parameters": 102,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 4 |
cf6571d349afe9995fc7e8886ebb5b90 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [13, 77], "expectation_value": -4.450153377771728, "params": [[[0.1593, -0.23570000000000002], [0.6, 0.0022], [-0.0061, 0.275], [0.0027, 0.33580000000000004], [0.6045, 0.0032], [0.6103000000000001, 0.0005], [0.15460000000000002, -0.23320000000000002], [0.6003000000000001, -0.0034000000000000002]], [[0.1562, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ 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(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["00111010", "10110001", "10110010"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.5679822533076644) q[0];
ry(0.28779289088801097) q[0];
rz(-1.4875772477683922) q[0];
rz(1.6646190701627592) q[1];
ry(2.839093183911377) q[1];
rz(-1.6615180288048137) q[1];
rz(2.428815297714399) q[2];
ry(0.06922251502077893) q[2];
rz(-2.186005331901043) q[2];
rz(2.72... | 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",
"IIIZIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-0.5,
-1,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.970453 | [
-0.16543280098052765,
-0.0016079931522478552,
0.5632672479351116,
0.01689412900856649,
-0.27293925069705005,
0.2756237961084007,
0.04497156373599105,
0.08219303338455987,
0.8844747884300886,
0.09703746680306397,
1.505259265586432,
0.0703986642851098,
-0.19299008811172763,
-0.13795352109818... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 15 |
2150338244522249270 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1, 2]]} | {"states": [7, 10], "expectation_value": -0.008692173860841958, "params": [[0.0575], [-0.0528]], "bitstrings": ["1000", "0101"], "total_optimization_steps": 10, "probabilities": [0.06325770019353472, 0.06325865853556371], "optimization_time": 1.1331231594085693} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(2) + 0.3333333333333333 * Z(0) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.6666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666666, "smallest_bitstrings": ["0101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
ry(-0.283667415388659) q[1];
cx q[0], q[1];
ry(0.283667415388659) q[1];
cx q[0], q[1];
h q[2];
ry(1.4951400423383272) q[2];
h q[3];
ry(-0.283667415388659) q[3];
cx q[0], q[3];
ry(0.283667415388659) q[3];
cx q[0], q[3];
ry(0.7060677272874667) q[0];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x1) q[1];
cx q[2], q[... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZZII",
"ZIIZ",
"IZZI",
"IIZZ",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666
] | 0.978009 | [
1.4951400423383272,
-0.567334830777318,
0.49635261162107247,
0.41943023133278856,
0.38244605422987965,
0.6194164679768569,
-0.49012265185492904,
-0.6651014290347088,
-0.04889376105490072,
0.0313802556399399,
0.02884885735583947,
-1.0217967263299559,
-0.546953541361432,
0.19905224417084166,... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -0.6666666666666667,
"target_ratio": 0.97,
"target_value": -0.6466666666666667
} | 15 |
01c79553cd838cd252f6e60dedff49e5 | 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": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -1.6261731661390022, "params": [[0.07740000000000001, 0.0781], [-0.08320000000000001, -0.08080000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009328121878471152, 0.01044049730935943], "optimization_time": 3.546516895... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.0845213497005627) q[0];
rz(-pi) q[1];
ry(-3.0455609286004646) q[1];
h q[2];
ry(1.4919071887247282) q[2];
h q[3];
ry(0.7240132628322454) q[3];
h q[4];
ry(0.9793324905949224) q[4];
h q[5];
ry(1.5402453113042955) q[5];
h q[6];
cx q[6], q[3];
ry(-0.72401326283... | 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-0.5,
-0.75,
0.5,
-0.5,
-0.75,
-0.5,
-2,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0.5,
-0.25,
-0.25,
-0.75,
-1.25,
0.5,
-0.75,
2.25
] | 0.977783 | [
1.5402453113042955,
1.4480265256644909,
-0.6838943024593398,
1.4919071887247282,
1.6837402841554543,
1.958664981189845,
-1.8541117649949548,
1.9567893576185749,
2.1258717747278064,
-0.1690426994011254,
3.770151024236896,
-0.7583358906758061,
-0.4200762250226027,
1.8848100973159259,
-1.08... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 81 |
919ebe96150ea33963e1b88a334f3105 | 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": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [123, 127], "expectation_value": -4.227183179284812, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 73, "probabilities": [0.3544920382352946, 0.5374424118356347], "optimization_time": 99.88011384010315} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.47997180051034355) q[0];
h q[1];
ry(0.7419521490927121) q[1];
h q[2];
ry(0.7805616775622914) q[2];
h q[3];
ry(1.6653574126053823) q[3];
h q[4];
ry(0.8326787063026911) q[4];
h q[5];
ry(0.8326787063026911) q[5];
cx q[3], q[5];
ry(-0.8326787063026911) q[5];
c... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"ZIIIIIIZ",
"IZIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.75,
-1.5,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.25,
-0.25,
-2.5,
-1.5,
0.25,
2.5,
-0.25,
2
] | 0.982925 | [
1.6653574126053823,
1.561123355124583,
1.4839042981854242,
1.4663457416610364,
-0.9599436010206871,
1.605096316058872,
-0.46828747053853337,
0.1743353193150963,
0.01566324934925098,
-0.12821055154197955,
0.5585485193403721,
0.1633788020804623,
-0.4348264220333006,
-0.22682935549148475,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 5 |
44024677ca28b32241620a387d32f127 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [254, 1], "expectation_value": -1.2655284521138888, "params": [[0.0709], [-0.0704]], "bitstrings": ["00000001", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005956965061136188, 0.006203258448355137], "optimization_time": 4.483163356781006} | -1.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["11111110", "11110110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.19218907498559545) q[0];
rz(0.09291448036761274) q[0];
rx(-0.04967512536563515) q[1];
rz(-0.16789485095899792) q[1];
rx(-0.02711705055853979) q[2];
rz(0.05319382007744444) q[2];
rx(-0.12111715079099174) q[3];
rz(0.1279624991313213) q[3];
rx(0.23015179240913114) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IZIIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZZIIIII",
"IIIZZIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"IIIZIII... | [
-1.25,
-0.75,
-1.25,
2.75,
-1,
-1,
-1.25,
-0.5,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
-1,
-1.25,
-2.5,
-0.25,
-2,
1,
-1,
2.25,
0.25,
2.25
] | 0.979512 | [
-0.19218907498559545,
0.24226762152849585,
-0.04967512536563515,
0.03839223908092401,
-0.027117050558539788,
0.1805599682181002,
-0.12111715079099175,
0.15017832014264118,
0.23015179240913117,
-0.2140719017473917,
-0.10195516285177114,
0.3252229958863298,
0.08491686831584225,
0.41598657944... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 6 |
4048877314050940391 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 9], [0, 5], [5, 7], [0, 6], [3, 5], [2, 10], [2, 7], [8, 2], [3, 7], [0, 7], [9, 3], [3, 6], [0, 4]]} | {"states": [1952, 1920], "expectation_value": -2.15072058841853, "params": [0.8051, 0.006900000000000001, 0.8035, 0.0085, 0.7994, 0.0184, 0.8023, 0.0039000000000000003, 0.8006000000000001, 0.017, 0.8028000000000001, 0.0016, 0.8088000000000001, 0.017, 0.8081, 0.009600000000000001, 0.8034, 0.0334, 0.4801, 0.0066, 0.8022,... | 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(9) + 0.0 * Z(1) + 0.0 * Z... | 6 | 11 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00001111111", "11110000000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.59048606744585) q[0];
rz(1.5057500952233074) q[0];
rx(1.5583296319421966) q[1];
rz(1.6220490015065323) q[1];
rx(1.3572990606874658) q[2];
rz(1.5538677177048594) q[2];
rx(1.8340088687651521) q[3];
rz(1.5538677177048594) q[3];
rx(0.03618299968526026) q[4];
rz(1.3572... | 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": []} | [
"IZIIIIIIIZI",
"IIIIIZIIIIZ",
"IIIZIZIIIII",
"IIIZIIIIIIZ",
"IIIIZIIIIIZ",
"IZIIIIIZIII",
"IIIIIZIZIII",
"IIIZIIIZIII",
"IIIIZIIZIII",
"IIIZIIIIZII",
"ZIIIIIIIZII",
"IIZIIIIIZII",
"IIIIIIZIIIZ",
"IZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIIIIIZ",
"IIIZIIIIIII",
"IIIIZIIII... | [
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
] | 0.975236 | [
2.59048606744585,
-0.06504623157158892,
1.5583296319421969,
0.05125267471163532,
1.3572990606874658,
-0.016928609090037197,
1.8340088687651521,
0.03618299968526026,
-0.21351466699239657,
0.03579201737998228,
-0.411352926443708,
0.190986897345511,
-0.6653266187330924,
0.21729342825679365,
... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 97 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1965, 1774], "expectation_value": -0.4132921456514472, "params": [[-0.0753], [0.0727]], "bitstrings": ["100001010010", "100100010001"], "total_optimization_steps": 10, "probabilities": [0.000302229349467174, 0.0003022293494671741], "optimization_time": 4.599986553192139} | 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 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100001001", "100100001010", "100100010001", "100010001001", "010010100001", "001001100100... | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[12] c;
qubit[12] 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];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
bc9c43e07717e061a702258caa354cb1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 7}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [463, 462], "expectation_value": -2.4956819441771296, "params": [[[0.003, 0.7363000000000001], [1.002, -0.0011], [1.0083, 0.003], [0.9992000000000001, 0.0015], [0.3598, 0.33380000000000004], [0.0026000000000000003, 0.7488], [1.0055, -0.0026000000000000003], [0.9956, -0.001], [0.9999, -0.0007], [0.7582, 0.125... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(5) @ Z(2)) + -0.125 * (Z(5) @ Z(7) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000110001"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.10717568652736817) q[0];
rz(-0.613192164467355) q[0];
rx(-0.37277058947326375) q[1];
rz(0.22118332543880115) q[1];
rx(0.6259542485802544) q[2];
rz(0.33864833929410665) q[2];
rx(1.006447697256304) q[3];
rz(0.5376535677087357) q[3];
rx(-0.0981749027050129) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIZII",
"IIZIZIIZII",
"IIZZIIIZII",
"IIZZZIIIII",
"IIZZZIIZII",
"IIIZIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IZIZIIIIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-1,
0.125,
0.125,... | 0.977916 | [
0.10717568652736817,
-0.6121178702546919,
-0.3727705894732638,
0.08891269984746725,
0.6259542485802544,
0.40617871295572644,
1.006447697256304,
0.6266130516322156,
-0.0981749027050129,
0.4119948877441397,
0.1526400993671369,
0.659736952576376,
1.65441338282833,
0.24035805955318484,
2.654... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 34 |
9150261739473617696 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 5, 6, 7, 8], [0, 1], [9, 3], [0, 4], [9, 10]]} | {"states": [1021, 1017], "expectation_value": -2.1561747627226024, "params": [0.1872, -0.0029000000000000002, 1.6158000000000001, -0.0022, 2.0143, -0.002, 2.1539, -0.0022, 2.4069000000000003, -0.0021000000000000003, 2.7582, -0.0031000000000000003, 2.7965, -0.0031000000000000003, 2.8019000000000003, -0.4984, 1.7049, -0.... | 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(0)) + 0.03333333333333... | 4 | 11 | 1 | {"smallest_eigenvalues": [-2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.2, "smallest_bitst... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.11985908683098426) q[0];
rz(1.6940573026916566) q[0];
rx(1.7030807706931177) q[1];
rz(1.5597623398009794) q[1];
rx(2.0370117041436675) q[2];
rz(1.5900651071399636) q[2];
rx(2.2800660255161866) q[3];
rz(1.5597623398009794) q[3];
rx(2.3255686044689585) q[4];
rz(1.52... | 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",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIZIIIIIZII",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIIIIIIIZZ",
"IZIIIIIZIII",
"IIIIIIZIIIZ",
"ZZIIIIIII... | [
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.978348 | [
0.11985908683098426,
0.12326097589675988,
1.7030807706931175,
-0.011033986993916636,
2.0370117041436675,
0.01926878034506671,
2.2800660255161866,
2.3255686044689585,
-0.04234631333368537,
2.7736538697234216,
0.007819372178465255,
2.8894494809088624,
2.82186552226154,
-0.5748935078338784,
... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -2.2000000000000006,
"target_ratio": 0.97,
"target_value": -2.1340000000000003
} | 2 |
1999562742756202320 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [2, 7], [2, 6], [2, 4], [3, 5], [0, 1]]} | {"states": [155, 91], "expectation_value": -2.6667405773184556, "params": null, "bitstrings": ["01100100", "10100100"], "total_optimization_steps": 58, "probabilities": [0.05313913467002401, 0.7590358309108824], "optimization_time": 61.56257772445679} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011011", "01100100", "10100100", "01011011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0471977143592075) q[0];
cx q[1], q[0];
rz(5.523453694422642e-08) q[0];
rx(0.7853980995815513) q[0];
rz(5.523453694422642e-08) q[1];
rx(0.7853980995815513) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.0471977143592075) q[2];
cx q[3], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... | [
"IIIIZZII",
"ZIIIIZII",
"IZIIIZII",
"IIIZIZII",
"IIZIZIII",
"IIIIIIZZ",
"IIIIZIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.541266 | [
-1.0471977143592075,
5.523453664267814e-8,
0.7853980995815512
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 98 |
b305367bc2e2ddaa066fe8b84210618a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [146, 154], "expectation_value": -3.1524614556559474, "params": [[[0.6418, 0.0033, 0.0061, 0.0074], [0.0051, -0.0041, -0.0013000000000000002, 0.007200000000000001], [-0.004200000000000001, 0.3614, 0.0016, 0.3634], [0.37970000000000004, 0.013300000000000001, 0.38530000000000003, 0.009000000000000001], [0.1711... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + ... | 12 | 8 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["01100101", "01100110", "10100101"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2364115448940784e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[0], q[2];
rz(1.5707962546560008) q[0];
rx(1.5707963244966565) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"ZZIIIIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"IIZIZIIZ",
"IZIIZIIZ",
"IZZIIIIZ",
"IZZIZIII",
"IZZIZIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIIIIIIZ",
"IIIIIIZ... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.25,
-0.75,
0.125,
0,
-0.625,
-0.125,
-0.25
] | 0.915441 | [
-1.2364115448940784e-8,
-1.570796288521854,
1.570796254656001,
-1.5707962902301755,
-2.293530648554822,
-1.5707963341692412,
-1.570796326359869,
1.570796377596495,
1.5707963244966565
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 231 |
fc7b19754949f0e05a27875fb69f344a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [29, 31], "expectation_value": -10.45157148467507, "params": [[-0.0472], [0.27390000000000003]], "bitstrings": ["11100010", "11100000"], "total_optimization_steps": 30, "probabilities": [0.008698858299759013, 0.008994668197307472], "optimization_time": 3.8250937461853027} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
2b0dcb8de0fd53b65168d5ba3893205a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 6, "source": 0, "target": 9}, {"capac... | {"states": [509, 501], "expectation_value": -23.374322312985967, "params": [[[-0.17850000000000002, 0.029500000000000002], [0.0024000000000000002, -0.0492], [0.003, -0.0036000000000000003], [0.0013000000000000002, -0.0033], [-0.0002, 0.0032], [0.0023, 0.0036000000000000003], [0.5911000000000001, 0.0017000000000000001],... | -1.5 * (Z(0) @ Z(6)) + -0.5 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + 2.5 * (Z(9) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -1.5 * (Z(1) @ Z(9)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -1.5 * (Z(4) @ Z(2))... | 15 | 10 | 4 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["1000001010"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.2784092368891018) q[0];
h q[1];
ry(0.7983254908162736) q[1];
h q[2];
ry(0.7983254908162736) q[2];
h q[3];
ry(0.7983254908162736) q[3];
h q[4];
ry(0.7983254908162736) q[4];
h q[5];
ry(0.9173248581823014) q[5];
h q[6];
ry(-0.2784092368891018) q[6];
h q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IIIZIIIZII",
"ZIIIIIIZII",
"IIIIIIIZZI",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"ZIZIIIIIII"... | [
-1.5,
-0.5,
-0.75,
2.5,
-0.25,
-1.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1.5,
-1.25,
-1.75,
-2,
-1.5,
-1.25,
-0.25,
-1.5,
-0.75,
-1.5,
-2.25,
-0.25,
-2,
0.25,
-0.25,
0.75,
2.25,
0,
-1,
2.5
] | 0.970508 | [
1.5966509816325472,
-0.5568184737782036,
1.6372639168001246,
1.8346497163646027,
-0.8223419976676482,
-1.577050462380182,
-0.35600685000010296,
-0.08537294859240367,
0.011512032254920724,
0.29567335508929515,
0.17326715482583796,
-0.1678818229612798,
0.06511653264524135,
0.0414082428882811... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 67 |
406f205c8f68e15d44cfdbce281f4c7d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [41, 7], "expectation_value": -1.5166512072452047, "params": [[0.0658], [-0.0645]], "bitstrings": ["010110", "111000"], "total_optimization_steps": 10, "probabilities": [0.019359398787519147, 0.019634012647604095], "optimization_time": 2.0501973628997803} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
-4344597050481672989 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [0, 2, 5], [2, 6], [0, 1, 3], [0, 4, 5, 7], [8, 2, 4], [0, 2, 7], [8, 1], [0, 8, 7], [2, 3, 4, 5]]} | {"states": [337, 369], "expectation_value": -2.0088275179530792, "params": [1.0897000000000001, -0.0407, 1.0827, 0.0055000000000000005, 0.9916, 0.0413, 0.6913, 0.0057, 1.0981, -0.0455, 1.0933000000000002, 0.0088, 1.1007, -0.0313, 1.0384, 0.009000000000000001, 1.1007, -0.0599, 1.0976000000000001, 0.0025, 1.0895000000000... | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.1666666666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["010001110", "000101101"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.6740436782518813) q[0];
h q[1];
h q[2];
ry(1.478492959790926) q[2];
h q[3];
ry(-0.27705062793447155) q[3];
h q[4];
ry(1.4821372903694263) q[4];
h q[5];
ry(-0.45249605358339046) q[5];
h q[6];
ry(-0.7288609343224409) q[6];
cx q[4], q[6];
ry(0.7288609343224409... | 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": []} | [
"IIZIZIIII",
"IIIIZIIIZ",
"IIZIIIZII",
"IIIIZIZII",
"IIIIIIZIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIZIII",
"IIIIIZIZI",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"... | [
0.5,
0.08333333333333333,
0.5,
0.25,
0.3333333333333333,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.0... | 0.974247 | [
1.6740436782518813,
1.4821372903694263,
-1.4577218686448818,
1.478492959790926,
-1.0475513468345112,
0.89691242763611,
-0.46700397345088596,
-0.9049921071667809,
0.542127194625133,
-0.3129812514343056,
0.0519186943483327,
-0.15207953126943347,
-0.4304207091902231,
-0.5541012558689431,
0.... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 9 |
9645644fcb46d75a104e4de81b9201a7 | 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": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -0.17792363194466035, "params": [[-0.0262, -0.050800000000000005, -0.0194, 0.0548], [-0.012700000000000001, 0.058300000000000005, 0.0412, -0.016]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009397302838282722, 0.009638114886939749],... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5968952478819238) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06171327633547268) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.415918497861762) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.06171327633547268) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
1,
-0.75,
-0.75,
0.5
] | 0.926178 | [
-0.5968952478819238,
0.4526712559046789,
-0.06171327633547268,
-0.415918497861762,
-0.6502010492922798,
-1.6181973367743598,
-0.8278971628393553,
0.9201213440736843,
-0.14848852993025277,
-1.0885472675907426,
-0.6577968816211469,
-1.0712293365854164
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 324 |
9c58c5b77a3170e613a26f379fffeef6 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [25, 49], "expectation_value": -2.8529169969809267, "params": [[0.19640000000000002, 0.30210000000000004, 0.40900000000000003, 0.4471], [-0.41340000000000005, -0.23270000000000002, -0.1179, -0.1545]], "bitstrings": ["100110", "001110"], "total_optimization_steps": 50, "probabilities": [0.1261348053046584, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110", "100110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIZIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0,
-0.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
d0689a6dbeb7a066dbec17f8f325db83 | 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": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [3, 1], "expectation_value": -7.749999979146519, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 16, "probabilities": [0.24999999791686373, 0.24999999791686373], "optimization_time": 9.32626461982727} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "1111000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06898382804863952) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9136619903538868) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.5171590410598331) q[3];
cx q[0], q[3];
rz(0.5171590410598332) q[3];
rx(1.1733415603473807) q[3];
h ... | 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",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.75,
1.5,
-0.25,
-1,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
-1,
1,
0.75
] | 0.592362 | [
0.06898382804863952,
0.5171590410598331,
-0.8546453602015381,
0.9136619903538868,
0.22139306930217686,
1.2118619337300773,
-1.3839135840822527,
-1.3195322834720893,
1.1733415603473807
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 208 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_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": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [93, 89], "expectation_value": -0.2796856212012131, "params": [0.9005000000000001, 0.2003, 0.4585, 0.2513, 0.9011, 0.0868, 0.9008, -0.10990000000000001, 0.6954, -0.09390000000000001, 0.466, 0.224, 0.9069, 0.085, 0.9053, 0.0047, 0.4656, 0.005200000000000001, 0.9031, 0.007200000000000001, 0.9018, 0.0054, 0.694... | 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)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"], "largest_eige... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0,
-0.25,
0
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
69144809aea48cb46eae9c3950f24a15 | community_detection | qaoa | {"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": 2, "target": 3}]} | {"states": [90, 165], "expectation_value": -0.18343608115765778, "params": [[-0.37110000000000004], [0.3652]], "bitstrings": ["10100101", "01011010"], "total_optimization_steps": 40, "probabilities": [0.007731574460579411, 0.00773157446057942], "optimization_time": 3.04431414604187} | 0.25 * (Z(0) @ Z(1)) + -0.0027777777777777783 * (Z(2) @ Z(0)) + -0.0027777777777777783 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.001388888888888889 * (Z(4) @ Z(0)) + 0.0006944444444444445 * (Z(4) @ Z(2)) + 0.001388888888888889 * (Z(5) @ Z(1)) + 0.0006944444444444445 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00138888... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.015277777777778], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0152777777777775, "smallest_bitstrings": ["01011010"], "largest_eigenvalue": 1.0180555555555555} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2]... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"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,
-0.0027777777777777783,
-0.0027777777777777783,
0.25,
0.001388888888888889,
0.0006944444444444445,
0.001388888888888889,
0.0006944444444444445,
0.25,
-0.0013888888888888892,
0.001388888888888889,
-0.0027777777777777783,
-0.0013888888888888892,
0.001388888888888889,
-0.0027777777777... | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
fa1aa02644db6485d126884facd8fbe5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [53, 60], "expectation_value": -3.4991049533046077, "params": null, "bitstrings": ["1001010", "1000011"], "total_optimization_steps": 32, "probabilities": [0.06552859483792234, 0.9338463438639887], "optimization_time": 25.36741042137146} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0074207548089881) q[0];
cx q[2], q[0];
rz(-1.62559946447614) q[2];
rx(1.5247430591609956) q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.0074207548089881) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(-0.0074207548089881) q[3];
... | 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(-1.5681) 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", ... | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIIZ",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-0.5,
0,
0,
0
] | 0.972476 | [
-0.0074207548089881,
-1.62559946447614,
1.6942216147964604,
1.1633760167161522,
1.5247430591609958,
0.061183352847591965,
0.7500638384568105,
0.2284438797758424,
0.09388118757753881
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 24 |
1460171b1151e111ffeed247111df54b | max_flow | 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": [8178, 4082], "expectation_value": -11.630266765987422, "params": [[[0.0025, 0.0018000000000000002], [-0.0018000000000000002, 0.0023], [-1.562, 1.2116], [-0.0011, 1.9338000000000002], [0.5704, 0.09960000000000001], [-0.0057, 0.23500000000000001], [-0.0022, -0.003], [0.281, 0.0017000000000000001], [-0.0021000... | 0.5 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(5)) + -0.5 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -0.5 * (Z(9) @ Z(8)) + -1.0 * (Z(10) @ Z(6)) + -1.0 ... | 15 | 15 | 1 | {"smallest_eigenvalues": [-14.24999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.49999999999994, "smallest_bitstrings": ["111000000001101"], "largest_eigenvalue": 37.74999999999994} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.0007473651002919855) q[0];
ry(-0.00011299523611050665) q[1];
ry(-1.5540022967827065) q[2];
ry(-0.00012955412130043046) q[3];
ry(-0.0018058331938303083) q[4];
ry(0.00026937156115619944) q[5];
ry(0.0010344195834751716) q[6];
ry(-0.0010652623650590145) q[7];
ry(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZIIII",
"IIIIIIIZZIIIIII",
"IIIIIIIZIIZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIIIZZIIII",
"IIIIIIIZIZIIIII",
"IIIIIIZIZIIIIII",
"IIIIIIZIIIZIIII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIZIIIII",
"IIIIIZIIZIIIIII",
"IIIIIZIZIIIIIII",
"IIIIIZZIIIIIIII",
"IIIIZIIIZIIIIII",
"IIIIZIIZIIIIIII",
"... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
2,
0.5,
1,
-0.5,
0.5,
1,
1,
-0.5,
-0.5,
0.375,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-1,
-2,
-1,
-1,
1,
-0.125,
2,
2.5,
2,
2.5,
-0.5,
1,
2,
1,
-0.25,
1,
-... | 0.938648 | [
0.0007473651002919855,
-0.00011299523611050665,
-1.5540022967827065,
-0.00012955412130043046,
-0.0018058331938303083,
0.00026937156115619944,
0.0010344195834751716,
-0.0010652623650590145,
-0.002223087832055949,
-0.0005093381743748444,
-0.00006811940477148491,
3.1414295571235757,
3.140837638... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -14.24999999999991,
"target_ratio": 0.97,
"target_value": -13.822499999999911
} | 300 |
082b6c86bc8d553008a81e548bf0a65e | 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}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [35, 3], "expectation_value": -11.525091798537497, "params": null, "bitstrings": ["111011100", "111111100"], "total_optimization_steps": 60, "probabilities": [0.16576969212998327, 0.5270153725643867], "optimization_time": 97.5600049495697} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.01995827998848688) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.0011424779715897004) q[3];
cx q[5], q[3];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.0604644772113118) q[7];
cx q[2], q[7];
cx q[0], q[7];
cx q[2], q... | null | {"source": 0, "sink": 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(-1.57) 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] = me... | [
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-1.25,
-2,
-0.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-0.75,
2.25,
-1.75,
-0.25,
-3.25,
-0.25,
1,
1,
2.25,
-2.75,
2,
-0.25,
0.25
] | 0.967362 | [
0.01995827998848688,
0.0604644772113118,
0.009467678937415125,
0.0034315551282985113,
-0.020265119812155508,
-0.045284364355096626,
0.0011424779715897004,
-0.044087738298219936,
-1.50226119903777,
-1.4628010130334417,
-0.8017292774672112,
1.5766066058178019,
0.13288720752041047,
-1.4525988... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
948e73d26580d7c0cc9a877617a692aa | 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}, {"id": 9}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [1022, 43], "expectation_value": -8.346978672044656, "params": [[-0.1578], [0.2767]], "bitstrings": ["0000000001", "1111010100"], "total_optimization_steps": 30, "probabilities": [0.010931915859331242, 0.011523296479022387], "optimization_time": 3.355919599533081} | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + 2.0 * (Z(9) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["1111010100"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.9428513441793349) q[0];
rz(2.41740016721155) q[0];
rx(-0.06541283581336957) q[1];
rz(2.8450035049979903) q[1];
rx(-0.03181264950285942) q[2];
rz(2.4393102649571254) q[2];
rx(0.037622177953360134) q[3];
rz(1.603473107672479) q[3];
rx(-1.2515744433774152) 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] 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIZIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-1.75,
-1.25,
-0.5,
-1.25,
-1.5,
-0.75,
-1,
-1,
-1,
-0.25,
-0.5,
-1.75,
-1,
2,
-1.5,
-1.75,
-1,
-0.5,
-0.25,
-0.5,
-2,
-0.25,
-1,
-1.75,
-0.75,
0,
0.25,
4.5,
-1.25,
2.25
] | 0.97326 | [
-0.9428513441793349,
0.8466038404166532,
-0.06541283581336957,
1.2742071782030941,
-0.03181264950285942,
0.8685139381622284,
0.037622177953360134,
0.032676780877582315,
-1.2515744433774154,
0.9889978399549705,
-0.07762164859431343,
1.0604060642884887,
0.6982556224832279,
1.266757938460107,... | {
"n_parameters": 94,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 79 |
-6097584728090683732 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 7], [0, 5, 6, 7], [2, 3, 6], [0, 3, 6, 7], [0, 4, 6], [1, 3, 4], [0, 3, 5], [2, 4, 5, 6, 7], [0, 1, 2, 5, 7], [1, 3, 6, 7], [0, 1, 2, 4]]} | {"states": [61, 185], "expectation_value": -1.2544488646544631, "params": [[-0.2589], [0.2715]], "bitstrings": ["11000010", "01000110"], "total_optimization_steps": 30, "probabilities": [0.008398048932085778, 0.00862569672007886], "optimization_time": 3.7480010986328125} | 0.3333333333333333 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.3 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(7)) + 0.3333333333333333 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["01000110"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5360970985991251) q[0];
h q[1];
ry(-0.23015424612035934) q[1];
h q[2];
ry(1.0119228435275902) q[2];
h q[3];
ry(1.4759258145277014) q[3];
h q[4];
cx q[4], q[1];
ry(0.23015424612035934) q[1];
cx q[4], q[1];
ry(-0.3411774072741822) q[1];
ry(0.8602107182036102)... | 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": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"ZIZIIIII",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"ZIIIIZII",
"IIZIIZII",
"IZIIIZII",
"IIIIZIZI",
"IIIIIIZ... | [
0.3333333333333333,
0.25,
0.3333333333333333,
0.25,
0.3,
0.13333333333333333,
0.16666666666666666,
0.3,
0.05,
0.18333333333333335,
0.3333333333333333,
0.3333333333333333,
0.21666666666666667,
0.3,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
... | 0.981802 | [
1.5360970985991251,
1.4759258145277014,
1.0119228435275902,
-0.7492728666386724,
0.6946123510120716,
-0.4616472643830476,
0.5421794829399638,
0.5275910719447583,
-0.42726106543483744,
-0.4603084922407187,
0.5713897504066152,
-0.6823548145483644,
0.5776419355939898,
-0.5434048621196681,
-... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -2.5666666666666673,
"target_ratio": 0.97,
"target_value": -2.4896666666666674
} | 1 |
5fc8ddd9b490928efab5d46a7fda09a4 | 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": 7, "source": 0, "t... | {"states": [206, 110], "expectation_value": -6.30593437748649, "params": [[-0.048], [0.0579]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.006788184224978642, 0.007102066282959483], "optimization_time": 1.6424248218536377} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-6.126449322559573e-06) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[0], q[1];
rz(-1.5709207139058865) q[0];
rx(-1.5706906646278838) q[0];
cx q[2], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[1]... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"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,
3.5,
6,
18,
8,
5.5,
18,
6,
5.5
] | 0.932203 | [
-0.000006126449322559573,
-1.570920713905886,
1.5709272473636124,
1.570710396024967,
1.5708714554051209,
-1.5707452903609194,
-1.570690664627884,
0.33096783508676,
0.06537739502227977,
-0.2576869562513256,
0.3995909898567742,
-0.2921438586432958,
0.06719963066271914,
-0.0002287731424465783... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 500 |
e31edb553f2e64f64efab3179577ba75 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "targ... | {"states": [16383, 16319], "expectation_value": -44.52134903778227, "params": [[[-0.0021000000000000003, 3.1435], [-0.003, -0.0027], [-0.0035, -0.003], [-0.0031000000000000003, -0.0031000000000000003], [-0.0031000000000000003, -0.0031000000000000003], [-0.0032, -0.003], [-0.0028, -0.003], [1.6156000000000001, -0.002], ... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -2.... | 15 | 14 | 1 | {"smallest_eigenvalues": [-45.00000000000016], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.9999999999999, "smallest_bitstrings": ["00000001000000"], "largest_eigenvalue": 34.00000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.0006136602938791569) q[0];
ry(0.028176288281699467) q[1];
ry(-0.07972284595018643) q[2];
ry(0.05742845436231004) q[3];
ry(0.05742845436231004) q[4];
ry(-0.18220831825570974) q[5];
ry(-0.08428388486425793) q[6];
ry(1.6248160057612917) q[7];
ry(0.15692899057705967) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIZZIIII",
"IIIIIIIZZIIIII",
"IIIIIIIZIZIIII",
"IIIIIZIIZIIIII",
"IIIIIZIIIZIIII",
"IIIIIZIZIIIIII",
"IIIIIIZIIZIIII",
"IIIIIIZZIIIIII",
"IIIIIZZIIIIIII",
"IIIZZIIIIIIIII"... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2.5,
-2,
-2.5,
1,
-3,
-2.5,
1,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
0.5,
0.5,
0.5,
0.5,
1,
-2.5,
1,
1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975785 | [
0.0006136602938791569,
0.028176288281699467,
-0.07972284595018643,
0.05742845436231004,
-0.18220831825570974,
-0.08428388486425793,
1.6248160057612917,
0.15692899057705967,
-0.11095201649838385,
0.03342510571012112,
-0.03995233061712642,
3.1026455807668873,
-0.009257414658339947,
-0.049095... | {
"n_parameters": 15,
"n_qubits": 14,
"optimal_eigenvalue": -45.00000000000016,
"target_ratio": 0.97,
"target_value": -43.650000000000155
} | 1 |
280c299f20e1315abf7588da0d0c677b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [862, 854], "expectation_value": -1.8422325848067276, "params": [[[0.3488, -0.037200000000000004, 0.007, 0.0013000000000000002], [0.5034000000000001, 0.024300000000000002, 0.2778, -0.1272], [0.3063, -0.2121, -0.1648, 0.2859], [-0.0061, 0.2533, 0.2611, 0.3799], [0.6721, -0.5086, 0.3085, -0.046200000000000005]... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010110010", "0010101001", "0010011100", "0011100010", "0110010100", "0010100011", "0110100001", "1010001001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.087876969629739) q[0];
rz(-0.5156851497874234) q[0];
ry(-0.33654896756207303) q[1];
rz(0.047832649570161825) q[1];
cx q[1], q[0];
ry(0.6190836215180014) q[0];
rz(0.3307864854267342) q[0];
ry(0.610204825794482) q[1];
rz(0.387587080981725) q[1];
ry(-0.00852679081191... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIZIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZZIZIIII",
"IIIZIIIIZI"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
-0.625,
0.125,
0,
0,
0... | 0.970407 | [
1.087876969629739,
-0.5156851497874234,
-0.33654896756207303,
0.047832649570161825,
-0.008526790811912217,
0.2927708867307223,
-0.05440600889187779,
-0.66789634116803,
0.27754255662739025,
-0.09947710957524689,
-0.06888954991081045,
0.28177127714475964,
0.005075387186939086,
-0.25745773945... | {
"n_parameters": 108,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 83 |
6095b23b75fd9eae315d3d3f5f3f5277 | 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": [1097, 1099], "expectation_value": -120.8492751740351, "params": [[-0.0022, 0.7841, 0.0022, 0.0011, 0.0826, 0.8869, -0.002, -0.0027, 0.7827000000000001, 0.028200000000000003, 0.2777, 0.5307000000000001], [-0.002, 0.7837000000000001, 0.0024000000000000002, -0.0055000000000000005, 0.0941, 0.8919, 0.05, -0.0026... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(11) @ Z(10)) + 6.0 * Z(1) + -6.5 * Z(2) + -7.0 * Z(3) + 14.5 * Z(5) + 4.5 * Z(4) + 2.0 * Z(6) + 9.5 * Z(8) + 2... | 10 | 12 | 3 | {"smallest_eigenvalues": [-129.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.5, "smallest_bitstrings": ["101110110100"], "largest_eigenvalue": 167.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.011108738184524486) q[0];
ry(0.6707380123087832) q[1];
ry(0.005692683678858498) q[2];
ry(-0.1441482057181569) q[3];
ry(-0.07397938250985943) q[4];
ry(0.9795729708913927) q[5];
ry(-0.01199138541694237) q[6];
ry(0.057935656192502696) q[7];
ry(0.6457361180804488) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIZIZIIIIII",
"IIZZIIIIIIII",
"IZIIIIZIIIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIZIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
-6.5,
-7,
14.5,
4.5,
2,
9.5,
2.5,
15,
7.5,
-12,
-12.5
] | 0.972506 | [
-0.011108738184524486,
0.6707380123087832,
0.005692683678858498,
-0.1441482057181569,
-0.07397938250985943,
0.9795729708913927,
-0.01199138541694237,
0.057935656192502696,
0.6457361180804488,
-0.06643498787535845,
0.4065783570903564,
0.8095568117222081,
0.8742487433898233,
0.10875932375053... | {
"n_parameters": 45,
"n_qubits": 12,
"optimal_eigenvalue": -129.5,
"target_ratio": 0.97,
"target_value": -125.615
} | 12 |
5116664952974433940 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 10, 4, 6], [0, 2, 4, 6, 7, 9, 10], [1, 3, 6], [0, 1, 3, 7, 8], [1, 4, 5, 7, 9], [8, 9], [8, 4, 7], [4, 5, 6], [3, 10, 2, 6], [10, 5, 7]]} | {"states": [1893, 2021], "expectation_value": -2.2203668827998126, "params": [[[3.1617, 0.0014], [3.1601000000000004, 0.0045000000000000005], [3.1595, 0.0013000000000000002], [1.6427, 0.0025], [3.1003000000000003, 0.0058000000000000005], [3.1473, 0.0064], [1.0756000000000001, 0.001], [1.1640000000000001, 0.0051], [3.16... | 0.08333333333333333 * (Z(1) @ Z(10)) + 0.10714285714285714 * (Z(4) @ Z(10)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.19047619047619047 * (Z(6) @ Z(10)) + 0.25 * (Z(6) @ Z(1)) + 0.2738095238095238 * (Z(6) @ Z(4)) + 0.023809523809523808 * (Z(0) @ Z(10)) + 0.05 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(0) @ Z(4)) + 0.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-2.8761904761904766], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.876190476190475, "smallest_bitstrings": ["00000011010"], "largest_eigenvalue": 9.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.479282363390718) q[0];
rz(-0.42498837320464256) q[0];
rx(2.952998561388885) q[1];
rz(-0.0714956335198823) q[1];
rx(3.1221124524981847) q[2];
rz(0.19572562971927338) q[2];
rx(2.7307901794888756) q[3];
rz(-0.08806355404053627) q[3];
rx(3.209300338438542) 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": []} | [
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"IIIIIIZIIZI",
"ZIIIZIIIIII",
"IIIIZIIIIZI",
"IIIIZIZIIII",
"ZIIIIIIIIIZ",
"IIIIIIIIIZZ",
"IIIIIIZIIIZ",
"IIIIZIIIIIZ",
"ZIIIIIIIZII",
"IIIIIIZIZII",
"IIIIZIIIZII",
"IIIIIIIIZIZ",
"ZIIZIIIIIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIIZIIIII... | [
0.08333333333333333,
0.10714285714285714,
0.13333333333333333,
0.19047619047619047,
0.25,
0.2738095238095238,
0.023809523809523808,
0.05,
0.023809523809523808,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.19047619047619047,... | 0.975331 | [
3.479282363390718,
-0.42498837320464256,
2.952998561388885,
-0.0714956335198823,
3.1221124524981847,
0.19572562971927338,
2.7307901794888756,
-0.08806355404053627,
3.209300338438542,
0.27465934542742,
3.0995785640554447,
-0.5397395405121933,
0.20281251107165357,
0.027300035066222972,
0.2... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -2.8761904761904766,
"target_ratio": 0.97,
"target_value": -2.7899047619047623
} | 16 |
50ae2479d5601754158b9fc59193bb01 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 2}, {"weight": 20, "source": 1, "target": 3}, {"weight": 17, "source": 1, "target": 5}, {... | {"states": [118, 117], "expectation_value": -5.109834325516217, "params": [[0.042], [-0.034]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.0053426018863933274, 0.005622973910123897], "optimization_time": 2.981471061706543} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 152.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8641516243728328) q[0];
rz(0.12726576765066508) q[0];
ry(0.7102320564934299) q[1];
ry(0.22422525448080505) q[2];
ry(-0.026146315359939894) q[3];
ry(0.6080971468829723) q[4];
ry(0.782750503349865) q[5];
ry(-0.08643926721123996) q[6];
ry(-0.03991970599118564) q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
6,
18,
20.5,
5.5,
17,
9,
3
] | 0.971114 | [
0.8641516243728328,
0.7102320564934299,
0.22422525448080505,
-0.026146315359939894,
0.6080971468829723,
0.782750503349865,
-0.08643926721123996,
-0.03991970599118564,
0.25453153530133016,
0.46343250275949954,
-0.08223540585418547,
0.073471514791184,
0.3957229011270565,
0.14637513115560807,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 7 |
13874d303f9642d1d6fc7d8a884ec296 | matching | 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}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [95, 93], "expectation_value": -66.06907883636126, "params": [0.1368, 0.5404, 0.9975, 0.184, 0.1463, 0.5954, 0.9987, -0.008, 0.9945, 0.0, 0.9952000000000001, 0.06420000000000001, 0.5127, 0.1111, 0.9913000000000001, 0.1216, 0.1378, 0.5379, 0.9911000000000001, 0.2536, 0.1361, 0.5519000000000001, 0.9926, 0.0124... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 0.5 * Z(0) + 7.5 * Z(1) + 7.0 * Z(3) + 0.5 * Z(2) + 19.0 * Z(4) + 19.5 * Z(5) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 139.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.17229278896441602) q[0];
rz(0.11597816113277837) q[0];
rx(3.1139654772117646) q[1];
rz(0.3932367048813006) q[1];
rx(0.20575216326996826) q[2];
rz(0.11474493332658123) q[2];
rx(3.0694392584498384) q[3];
rz(-0.17027375663421634) q[3];
rx(3.2330435974537184) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
0.5,
7.5,
7,
0.5,
19,
19.5,
9.5,
15
] | 0.970549 | [
-0.17229278896441602,
0.07233315245420577,
3.1139654772117646,
0.3932367048813006,
0.20575216326996826,
0.11474493332658123,
3.0694392584498384,
-0.17027375663421634,
3.2330435974537184,
-0.08746137903218769,
2.8983274248861237,
0.007779411564688372,
0.5075476329619135,
0.22212575445882998... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 8 |
0383062743a6032431a10ba112efca08 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [480, 8672], "expectation_value": -25.936788847306943, "params": [0.0026000000000000003, -1.1645, 0.0026000000000000003, 1.5285, -0.8647, 0.0028, -0.007200000000000001, -0.0007, -0.0029000000000000002, 1.4766000000000001, -0.0028, 1.3484, 0.0029000000000000002, 1.2693, 1.5706, 0.0025, 1.5717, 0.0026000000000... | 0.5 * (Z(0) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(0)) + 1.0 * (Z(1) @ Z(13)) + 0.75 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(13)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(14)) + -1.0 * (Z(4) @ Z... | 18 | 16 | 2 | {"smallest_eigenvalues": [-26.24999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.249999999999734, "smallest_bitstrings": ["1101111000011111"], "largest_eigenvalue": 111.00000000000011} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(0.0807544572268105) q[0];
rz(0.22210424958802655) q[0];
rx(0.14837348741577772) q[1];
rz(0.7437791515521079) q[1];
rx(-0.5726519461602206) q[2];
rz(0.0668001890504087) q[2];
rx(-0.0416623057461309) q[3];
rz(0.5367025386426789) q[3];
rx(-0.0008736203876195175) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIIIIIZ",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIIIIIZ",
"IIZIIIIIIIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IZIIIIIIIIIIIIZI",
"IIZIIIIIIIIIZIII",
"IIIIIIIIIIIIZIIZ",
"IZIIIIIIIIIIZIII",
"IIIIIIIIIIIIZIZI",
"IIZIIIIIIIIZIIII",
"IIIIIIIIIIIZIIIZ",
"IZIIIIIIIIIZIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIII... | [
0.5,
1,
0.5,
1,
0.75,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-1,
1,
-1,
-0.5,
-1,
-1,
0.5,
0.5,
-2,
-1,
-2,
-2,
1,
1,
2,
-0.5,
-0.5,
0.5,
1,
-0.5,
-1,
-1,
1,
2,
2,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0... | 0.97502 | [
0.08075445722681049,
0.6172770534661369,
0.14837348741577772,
0.7437791515521079,
-0.5726519461602206,
0.0668001890504087,
-0.0416623057461309,
0.5367025386426789,
-0.0008736203876195175,
0.5023698595778798,
-0.26926217750859277,
0.4261394456714155,
0.0524983319909367,
0.5768221422270251,
... | {
"n_parameters": 172,
"n_qubits": 16,
"optimal_eigenvalue": -26.24999999999991,
"target_ratio": 0.97,
"target_value": -25.462499999999913
} | 1 |
6e14ca9588bf45c615e1efe2adcd0df8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [2014, 2047], "expectation_value": -17.45580485390173, "params": null, "bitstrings": ["00000100001", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.1392258205439714, 0.29093108327525535], "optimization_time": 302.2064690589905} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + 1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -3.5 * (Z(10) @ Z(5)) + -3.5 * (Z(10) @ Z(4)) + -2.5 * (Z(10) @ Z(7)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 40.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.2730516733626573) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.19369742911248178) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.19369742911248178) q[2];
rx(0.9504352935710667) q[2];
rz(0.6421408087916739) q[3];
cx q[0], q[3];
... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\ncry(1.5708) q[5], q[10];\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... | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIZZIIIIII",
"ZIIIZIIIIII",
"IIZIIZIIIII",
"IIZIIIZII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
1.5,
0.5,
-3,
-2.5,
-3,
0.5,
-3.5,
-3.5,
-2.5,
1,
0.5,
0.5,
0.5,
1,
-2.5,
-3,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
-2.5,
1,
1.5,
1.5,
0.5,
0.5
] | 0.587003 | [
1.2730516733626573,
0.19369742911248178,
0.6421408087916739,
0.26548483009409646,
0.6105186367214865,
0.6900629420657028,
0.5060107293538074,
0.2547174203777715,
0.9504352935710666
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 204 |
1a5bb4c1f24db958a05d57d3d52dd9db | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"sour... | {"states": [148, 180], "expectation_value": -6.073675662947084, "params": [[0.004200000000000001, 1.0511000000000001, 0.00030000000000000003, 0.7217, 1.2014, -0.018600000000000002, 1.0514000000000001, -0.0037, 0.0005], [0.0006000000000000001, 1.0492000000000001, -0.0012000000000000001, -0.5223, 0.9165000000000001, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(2) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["011110100", "101001011", "110001011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0927765946234281) q[0];
ry(1.0853559175270533) q[1];
ry(0.024941475836662147) q[2];
ry(0.8730900535084879) q[3];
ry(1.4060841911386794) q[4];
ry(-0.03232825740485394) q[5];
ry(1.007460362769795) q[6];
ry(0.09855259951098276) q[7];
ry(-0.0059367196234710665) q[8];
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": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIIIZI",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIIIIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIZIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-0.5,
-0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971962 | [
0.0927765946234281,
1.0853559175270533,
0.024941475836662147,
0.8730900535084879,
1.4060841911386794,
-0.03232825740485394,
1.007460362769795,
0.09855259951098276,
-0.0059367196234710665,
0.09015454076345736,
1.0181069270949408,
-0.1164408669250435,
-0.6579034133815941,
0.929970550029438,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 6 |
e4d024b1ac0c063adb5f497e44a53780 | 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": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"sour... | {"states": [424, 440], "expectation_value": -4.434504394970416, "params": [[0.7148, 0.5091, -0.1216, 1.0878, -0.2326, 1.099, 0.0023, -0.0082, 0.004], [1.1035000000000001, 1.1035000000000001, 0.47190000000000004, 1.0911, 0.56, 1.0961, 0.0033, -0.0054, -0.0039000000000000003], [-0.047400000000000005, -0.0618, 0.068600000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(6) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(8) + -1.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) | 10 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["000010111", "001000111"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.998865127471845) q[0];
ry(0.09986348416341079) q[0];
rz(2.1695056261792818) q[0];
rz(-0.8718070765165842) q[1];
ry(0.007864231998107174) q[1];
rz(2.355323403498864) q[1];
rz(1.6054832275279143) q[2];
ry(3.061037757049647) q[2];
rz(-1.557797928431575) q[2];
rz(-0.33... | 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": []} | [
"IIZIIIIIZ",
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIZIZII",
"IZIIIIZII",
"IZIIZIIII",
"IZIIIZIII",
"ZIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-1,
-1,
-0.5,
-1,
0,
0
] | 0.989257 | [
0.05666924234087619,
-1.1667172718810395,
-0.0051366922915305115,
1.3979655042286798,
1.6865443802271083,
0.0028452402276504416,
1.5171038986991037,
-0.06844358352270315,
1.705946518865727,
-0.028304539235174158,
-0.00924752500214396,
1.0303522793793154,
-1.0514189025016272,
0.652220208206... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -48.5,
"target_ratio": 0.97,
"target_value": -47.045
} | 1 |
2e4c876ef2228aa0ff1deda119489c6f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [593, 721], "expectation_value": -3.9474095512676914, "params": [0.9091, 0.9011, 0.012400000000000001, -0.0051, 0.8716, 0.7757000000000001, 0.9033, 0.9077000000000001, 0.19740000000000002, 0.1259, 0.9095000000000001, 0.9118, 0.2041, 0.185, 0.45570000000000005, 0.41490000000000005, 0.0955, 0.0935, 0.900400000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(7) + -0.5 * Z(3) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100111100", "0100101110", "1100101010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4822180642665344) q[0];
rz(pi/2) q[0];
ry(0.4659463376412555) q[1];
ry(2.0080157466332116) q[2];
ry(1.0159033909544777) q[3];
ry(0.18788648085855353) q[4];
ry(1.4214808195431479) q[5];
ry(0.10479372127468309) q[6];
ry(-0.25389061663132084) q[7];
ry(-0.309129714431... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"IZIIZIIIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZIIIZII",
"ZIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIZIIIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0.5,
0
] | 0.970535 | [
1.4822180642665344,
0.4659463376412555,
2.0080157466332116,
1.0159033909544777,
0.18788648085855353,
1.4214808195431479,
0.10479372127468309,
-0.25389061663132084,
-0.3091297144310247,
1.7028145152035254,
1.2646787651035691,
0.3088557180182804,
-0.4247964815355671,
0.2616804461695809,
0.... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 42 |
7f4c1e2c9bad0a6e0605fae9471bc9cf | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1014, 1022], "expectation_value": -2.1664335822475356, "params": [0.0021000000000000003, 0.003, 0.6058, 0.6144000000000001, 0.6037, 0.6051000000000001, 1.2049, 1.204, 1.2047, 1.2038, 1.0045, 1.0071, 1.1965000000000001, 1.1965000000000001, 0.995, 0.9939, 1.1981000000000002, 1.2058, 0.8483, 0.8464, 1.2087, 1.... | 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.40625, "smallest_bitstrings": ["1110000000001", "1000011001000", "1000010101000", "1000010110000", "10100001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.0439732452993793) q[0];
rz(-pi) q[1];
ry(-0.021586519897609995) q[1];
rz(-pi) q[2];
ry(-3.0439732452993793) q[2];
h q[3];
ry(1.5712954840865174) q[3];
h q[4];
ry(-1.5396619496691069) q[4];
h q[5];
ry(-1.5396619496691069) q[5];
rz(-pi) q[6];
ry(-3.051... | 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": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIZIIZI",
"IIIIIIIZIIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIIZZZI",
"IIIIIIIIZIZZI",
"IIIIIIIZIIZZI",
"IIIIIIIIZZIZI",
"IIIIIIIZIZIZI",
"IIIIIIIZZIIZI",
"IIIIIIIIZZZ... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
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-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.993003 | [
-1.5396619496691069,
-1.567621708727845,
1.5712954840865174,
0.17901712585412477,
0.19424050199758652,
0.11763506385417996,
-0.04952227592932356,
0.11380756988679648
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
78fa1de4f4a21ed4fe88b300377e8f4a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [169, 173], "expectation_value": -2.902158305833192, "params": [[[0.0024000000000000002, 0.7492000000000001, 0.0079, 0.009300000000000001], [0.2662, -0.021400000000000002, 0.2647, 0.0032], [-0.0028, -0.31470000000000004, 0.007200000000000001, -0.3151], [0.2599, -0.0049, 0.2637, 0.0061], [0.001300000000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010010", "100011010", "100011001", "110001001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.1304718053592922) q[0];
rz(0.08317965897522939) q[0];
rx(0.2900504482646137) q[1];
rz(-0.18829532181346575) q[1];
rx(0.5890408046485281) q[2];
rz(-0.04048806474972233) q[2];
rx(0.48578622321668796) q[3];
rz(-0.1889192019892203) q[3];
rx(-0.06916883436876675) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIZIII",
"IZIZIZIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
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0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.625,
-0.125,
-0.125,
0.25,
-0.25,
-0.125,
... | 0.973257 | [
-0.1304718053592922,
0.05152563206170092,
0.2900504482646138,
-0.195018097202669,
0.5890408046485284,
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0.48578622321668796,
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0.15393805400353994,
0.13914744505617316,
0.03389002351417578,
0.6013866359115193,
-0.1438901959192... | {
"n_parameters": 96,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
dd4e0e0ec30da59fe4cbaef1907f5a6f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": ... | {"states": [4095, 2047], "expectation_value": -14.303762235768826, "params": [[[0.0033, -0.0323], [-0.0038, -0.003], [-0.005, -0.0023], [0.0, -0.0028], [-0.0034000000000000002, -0.003], [0.0019, -0.0028], [0.0043, -0.003], [-0.0033, -0.003], [0.0047, -0.0029000000000000002], [0.0012000000000000001, -0.003], [-0.0038, 0... | -0.75 * (Z(0) @ Z(5)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(8)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.02617086641846813) q[0];
ry(-0.19014243248664786) q[1];
ry(-0.028636507299377015) q[2];
ry(0.017846955080892984) q[3];
ry(0.032911288706031494) q[4];
ry(-0.1424388473129406) q[5];
ry(-0.041374578174833115) q[6];
ry(-0.06235092297462867) q[7];
ry(-0.10090331694089... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIZIIZIIIII",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IIIZIIIIIIZI",
"ZIIIIIZIIIII",
"ZIIIIIIIIIZI",
"IIIIIIZIIZII",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIZIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIIZIZII",
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"ZIIIZIIII... | [
-0.75,
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-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
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-0.25,
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-1.5,
-0.5,
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1.75,
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-0.5,
-0.25,
0.5,
-0.25,
0.5,
0.5,
-0.25,
-1.75,
1,
... | 0.970639 | [
-0.02617086641846813,
-0.19014243248664786,
-0.028636507299377015,
0.017846955080892984,
0.032911288706031494,
-0.1424388473129406,
-0.041374578174833115,
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-0.10090331694089004,
0.07445084781416783,
-0.4830500656838782,
-0.10874546320099908,
-0.4743791720249465,
-0.014... | {
"n_parameters": 64,
"n_qubits": 12,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 57 |
3107297605987101856 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 3], [2, 3], [0, 7], [8, 1], [5, 7], [0, 5], [2, 7], [5, 6], [1, 4], [1, 5]]} | {"states": [166, 167], "expectation_value": -3.1890862468116046, "params": null, "bitstrings": ["101011001", "101011000"], "total_optimization_steps": 81, "probabilities": [0.12363368929688183, 0.5892254709103061], "optimization_time": 151.85011911392212} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111010", "101011001", "111001000", "111000100", "101010101", "000110111", "111000101", "010101010", "101011000", "010100111",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.24338526756378928) q[0];
rz(1.3775286711832244) q[0];
rx(1.7438166557555914) q[1];
rz(1.4005726728400862) q[1];
rx(0.5142596008944468) q[2];
rz(1.5520132917567944) q[2];
rx(1.2779392895288917) q[3];
rz(1.6459959252222838) q[3];
rx(0.14217536573378592) q[4];
rz(1.78... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], 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];\n... | [
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIZZIIIII",
"IIIIZIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIZIIII"
] | [
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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
] | 0.974041 | [
0.24338526756378925,
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1.7438166557555916,
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0.5142596008944468,
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1.2779392895288917,
0.07519959842738755,
0.14217536573378592,
0.21700841349356806,
1.2816996439890047,
-0.1649551535726996,
-0.20257561495223203,
-0.437930511158727... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 87 |
87224c590a6c623e4385c63f6a5a56ea | connected_components | 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": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [31, 27], "expectation_value": -0.11269607459956552, "params": [[0.0747], [-0.0731]], "bitstrings": ["00000", "00100"], "total_optimization_steps": 10, "probabilities": [0.03501837869380971, 0.0357878599813178], "optimization_time": 0.5750501155853271} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(2) | 5 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.822243038742368) q[0];
rz(3.125872941516012) q[0];
rx(0.17974168344967256) q[1];
rz(1.949880926627925) q[1];
rx(-0.41477122068286326) q[2];
rz(2.8554970925143763) q[2];
rx(-0.8755271994602615) q[3];
rz(1.8212531758931725) q[3];
rx(-0.7064676113500707) q[4];
rz(0.71... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
rz(x1) q[1];
rz(x1) q[0];
rz(x1) q[4];
rz(x1) q[3];
rz... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IZIII",
"IIZII"
] | [
-1,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970003 | [
0.822243038742368,
1.5550766147211155,
0.1797416834496726,
0.37908459983302883,
-0.4147712206828633,
1.2847007657194796,
-0.8755271994602616,
0.25045684909827637,
-0.7064676113500707,
0.7160535821608828,
0.5186655708969602,
-0.1118533432386061,
-0.35466960996538094,
-0.6054146290312105,
... | {
"n_parameters": 100,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 153 |
9800d678f4921072509903db27fda1fd | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [73, 112], "expectation_value": -0.5417681082349812, "params": [[-0.0487, -0.0707], [0.0609, 0.06860000000000001]], "bitstrings": ["0110110", "0001111"], "total_optimization_steps": 10, "probabilities": [0.010197113296772921, 0.010257319454349328], "optimization_time": 3.061838150024414} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + -1.5 * Z(6) + -0.5 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100111", "0001111", "0110101", "0110110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.003664829923675055) q[0];
rz(-0.4729373673760757) q[0];
rx(-0.09675898262381692) q[1];
rz(0.7330296658900083) q[1];
cx q[1], q[0];
rz(0.3052492135697453) q[0];
cx q[1], q[0];
rx(0.08064200259805002) q[0];
rz(-0.09279316689706274) q[0];
rz(0.36141341688818923) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"ZIIIIZI",
"ZZIIIII",
"IZIIZII",
"ZIIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1,
-1.5,
-0.5
] | 0.972962 | [
0.0036648299236750545,
-0.1676881538063303,
-0.09675898262381692,
0.7330296658900083,
1.3999162331038009,
0.34271849329744036,
1.4470363710902063,
-0.13704858272599035,
-0.10910329165344018,
0.37632417666727835,
0.08130780559173567,
0.775343707190899,
1.55693768215877,
0.5263793025165554,
... | {
"n_parameters": 57,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 15 |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [10, 3], "expectation_value": -1.9737567129598177, "params": null, "bitstrings": ["0101", "1100"], "total_optimization_steps": 13, "probabilities": [0.07348052951458199, 0.9007122774707554], "optimization_time": 5.671151638031006} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"ZIZI",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
61fc58e7ea5c0b858181cef6a00713e4 | 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": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [252, 188], "expectation_value": -28.679152141664314, "params": [[-0.0398, -0.0008, 0.0067], [0.069, 0.0683, 0.0692]], "bitstrings": ["100000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.009870929633262188, 0.013963716048641597], "optimization_time": 6.1349122524261475} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02185145395977517) q[0];
cx q[1], q[0];
rz(-0.5588018792017229) q[0];
rx(-0.27985469452490175) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.02185145395977517) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.02185145395977517) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"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,
9,
-2.5,
15.5,
12,
18.5,
15,
17,
0.5,
6
] | 0.975691 | [
0.02185145395977517,
1.4317424449049956,
-0.5588018792017233,
1.5603082420547552,
0.19242374383339958,
1.3485735240723389,
1.011065840572277,
1.498856394896067,
-1.3092618702660563,
-0.32745955943144156,
-0.2798546945249017,
0.11900811374185843,
0.3243858040133379,
-0.6130932728853596,
0... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 53 |
-705799067719030657 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 3, 4, 6, 7, 8], [0, 1, 4, 5, 6, 7, 8], [2, 6], [0, 1, 2, 3, 4, 5, 8, 9], [1, 3, 6, 9], [0, 3, 6, 8, 9]]} | {"states": [891, 888], "expectation_value": -1.129381797917437, "params": [1.2850000000000001, 0.0178, 1.0551000000000001, 0.0054, 1.2894, 0.2142, 1.0804, 0.0025, 0.439, 0.49260000000000004, 0.4444, 0.0001, 1.2846, 0.1726, 1.0817, 0.009300000000000001, 1.2891000000000001, 0.1076, 1.284, 0.006500000000000001, 1.29310000... | 0.06547619047619047 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(1)) + 0.09166666666666667 * (Z(3) @ Z(0)) + 0.06547619047619047 * (Z(4) @ Z(1)) + 0.06547619047619047 * (Z(4) @ Z(0)) + 0.041666666666666664 * (Z(4) @ Z(3)) + 0.13095238095238093 * (Z(6) @ Z(1)) + 0.09761904761904762 * (Z(6) @ Z(0)) + 0.15714285714285714 * (Z(6) @... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.4916666666666667, -1.4916666666666667, -1.4916666666666667, -1.4916666666666667, -1.4916666666666667], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.4916666666666663, "smallest_bitstrings": ["1010000101", "0010100101", "0110000010", "1110000000", "0010000111"], "largest_ei... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.183639259245988) q[0];
rz(-0.14858716091663648) q[0];
rx(1.8164248116253852) q[1];
rz(0.13634277238250236) q[1];
rx(-0.08548142697877488) q[2];
rz(0.5193514238753068) q[2];
rx(1.9137176572094408) q[3];
rz(0.24907338593156902) q[3];
rx(2.0223137102518924) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIIIZIIII",
"IZIZIIIIII"... | [
0.06547619047619047,
0.125,
0.09166666666666667,
0.06547619047619047,
0.06547619047619047,
0.041666666666666664,
0.13095238095238093,
0.09761904761904762,
0.15714285714285714,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.047619047619047616,
0.... | 0.970108 | [
2.1836392592459877,
-0.17948504770782592,
1.8164248116253852,
0.1391244365232669,
-0.08548142697877487,
0.22151913953356228,
1.9137176572094408,
0.2450971882732152,
2.022313710251892,
0.2185569543685481,
1.1419349609027758,
0.5084988099603058,
1.9283872873274506,
0.16158543956113935,
0.7... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -1.4916666666666667,
"target_ratio": 0.97,
"target_value": -1.4469166666666666
} | 95 |
9e8a866d2c0011b6946d4c64e758f31c | matching | adaptive_vqe | {"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": [188, 124], "expectation_value": -37.8184138275246, "params": null, "bitstrings": ["01000011", "10000011"], "total_optimization_steps": 100, "probabilities": [0.1356070492565516, 0.23366831123903148], "optimization_time": 165.81853318214417} | 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]... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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[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[... | [
"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 |
4743a42b98680c4f321c8f72a752812d | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [30, 447], "expectation_value": -3.462243225019633, "params": [[-0.0801, -0.0606], [0.0809, 0.0747]], "bitstrings": ["111100001", "001000000"], "total_optimization_steps": 10, "probabilities": [0.003608220806504487, 0.003633067837032007], "optimization_time": 6.595808029174805} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) q[3];
cx q[1], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
5453c2513a3015ff34fdf7af0c17d479 | 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": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [21, 7], "expectation_value": -12.49929898053237, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10660517640631754, 0.613859001512618], "optimization_time": 118.78458857536316} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 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;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | 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(-1.4894) 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", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
455f6f23bf51d98ac570bfc0b0837643 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 1015], "expectation_value": -29.513839959112374, "params": [[[-0.0024000000000000002, 3.1442], [-0.0029000000000000002, -0.0027], [0.0019, -0.0024000000000000002], [-0.0027, -0.0021000000000000003], [-0.0031000000000000003, -0.003], [-0.0025, -0.003], [1.5997000000000001, -0.0034000000000000002], [-0.... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2... | 15 | 10 | 1 | {"smallest_eigenvalues": [-30.0, -30.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.0, "smallest_bitstrings": ["0000001000", "0000011111"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6599147528265946) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6599147528265946) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.6789291006186039) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6599147528265946) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI"... | [
-2.5,
-2.5,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2.5,
0.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1.5,
1,
-2,
0.5
] | 0.603044 | [
-0.6599147528265946,
-0.6789291006186039,
-0.2903953061471803,
-0.10323439881670754,
-1.1529133101981341,
-0.4727966313602859,
-1.032663962224838
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 189 |
fb8dcd1d9662770600b2a58ea2467525 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": ... | {"states": [992, 995], "expectation_value": -2.0140712884469676, "params": [[-0.0713], [0.07150000000000001]], "bitstrings": ["0000011111", "0000011100"], "total_optimization_steps": 10, "probabilities": [0.0018373121351750706, 0.0019096810858215912], "optimization_time": 2.8017215728759766} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000011100"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.6353282470761566) q[0];
h q[1];
ry(0.48202024338140065) q[1];
h q[2];
ry(0.48202024338140065) q[2];
h q[3];
h q[4];
ry(0.48202024338140065) q[4];
cx q[3], q[4];
ry(-0.48202024338140065) q[4];
cx q[3], q[4];
cx q[4], q[1];
ry(-0.48202024338140065) q[1];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] 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];
h q[9];
cx q[1], q[0];
rz(... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
-2.5,
1,
-2.5,
-2,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
-2,
0.5,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
1,
0.5,
0.5
] | 0.970463 | [
0.9640404867628013,
-0.8121385305358959,
1.2706564941523133,
-1.3592044108300665,
0.32657958013134786,
0.007523817799481261,
1.9567640627456626,
-0.006546067366100743,
0.14553509167121856,
-1.257435337135376,
-1.0252237917264864,
0.2938862700762499,
0.08184232049459958,
-0.4930600903030048... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 310 |
800f779aab5ac71650acd9af8d6964c8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"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": [21, 7], "expectation_value": -15.541209920558796, "params": [[0.031100000000000003, 0.0114, 0.0077, 0.006200000000000001], [-0.0668, -0.0621, -0.060700000000000004, -0.056]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.010842708719869473, 0.012043518083641444]... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 8 | 4 | {"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;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"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,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
82b7510e3c4f18f03c81315097910da2 | min_cut | 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": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -2.3569014331709663, "params": [[-0.0655, -0.0736, -0.0708, -0.056600000000000004], [0.0697, 0.07440000000000001, 0.07400000000000001, 0.069]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.059041811704462197, 0.062379633927753114], "op... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-6.581916184979591e-07) q[0];
h q[1];
ry(0.6434977519720617) q[1];
h q[2];
ry(0.6434977519720617) q[2];
h q[3];
h q[4];
ry(0.785398270325911) q[4];
cx q[3], q[4];
ry(-0.785398270325911) q[4];
cx q[3], q[4];
ry(0.6154797530425266) q[3];
cx q[4], q[3];
ry(-0.61... | 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": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIZIZI",
"IIZZII",
"IZIIZI",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-1.5,
0.25,
-0.25,
-0.25,
-0.25,
0.25,
0.25
] | 0.965517 | [
1.570796540651822,
1.2309595060850531,
1.2869955039441234,
-1.5707961133230497,
1.8545964968194282,
-0.39631419127463324,
0.6801154830436662,
1.570796550632477,
-0.0000013163832369959182,
3.5289707979888594e-7,
-1.510291118014996,
1.510290485989974,
1.0482933015393622e-7,
0.205718760898137... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [8, 4], "expectation_value": -0.5285145902929377, "params": [[-0.1358, -0.1408, -0.1458, -0.1442], [0.1231, 0.131, 0.1454, 0.1487]], "bitstrings": ["0111", "1011"], "total_optimization_steps": 20, "probabilities": [0.11378933393224094, 0.11378933393224096], "optimization_time": 2.4387688636779785} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"], "largest_eigenvalue": 2.3333333333333335} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | 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": 2} | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
0.16666666666666674,
0.16666666666666674,
-0.16666666666666666
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [17, 1], "expectation_value": -18.2033545525087, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 39, "probabilities": [0.09184956582734856, 0.7367857029693289], "optimization_time": 34.167750120162964} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | 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(-0.7408) 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[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
013c50ea24700a665f8ce08a638ec7d1 | 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": 0, "id": 8}, {"bipartite":... | {"states": [298, 299], "expectation_value": -119.33371807678967, "params": [[0.0007, 0.0026000000000000003, 1.0490000000000002, -0.1313, 0.1529, 1.2511, -0.0023, 1.0612000000000001, -0.025500000000000002, 1.2363, 0.4696], [0.0, 0.0028, 1.0430000000000001, 0.1285, 0.09620000000000001, 1.0728, -0.0024000000000000002, 1.0... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(0) @ Z(9)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(9)) + 8.0 * (Z(10) @ Z(4)) + -5.5 * Z(1) + 16.5 * Z(2) + 2.5 * Z(3) + 8.5 * Z(5) + 3.0 * Z(4) + 12.0 * Z(8... | 10 | 11 | 2 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["11011010100"], "largest_eigenvalue": 175.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.17521454204966205) q[0];
ry(0.06488238623134679) q[1];
ry(1.1256035809572882) q[2];
ry(0.1183783666485124) q[3];
ry(-0.09858706779484942) q[4];
ry(1.3068931465701281) q[5];
ry(0.023657377749504438) q[6];
ry(0.9098648870319486) q[7];
ry(-0.08908888993796464) 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, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IZZIIIIIIII",
"IZIIIIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"ZIIIIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-5.5,
16.5,
2.5,
8.5,
3,
12,
18,
-4.5,
21.5,
0,
-15
] | 0.978539 | [
0.17521454204966205,
0.06488238623134679,
1.1256035809572882,
0.1183783666485124,
-0.09858706779484942,
1.3068931465701281,
0.023657377749504438,
0.9098648870319486,
-0.08908888993796464,
1.8366701987101346,
0.9129216273530599,
0.031801249991189016,
-0.05845839269520119,
1.2878799135301424... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -128,
"target_ratio": 0.97,
"target_value": -124.16
} | 13 |
8ed7cc91faf8f25841f02066a68a347e | 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": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -0.20116291862332658, "params": [[0.0396], [-0.0273]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008427367676301586, 0.00846477173726942], "optimization_time": 1.8638231754302979} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.0} | 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];
cz q[6], 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(1.2166224269295487e-08) q[0];
h q[0];
rx(-4.703941950630459e-08) q[1];
h q[1];
rx(1.0471278675330475) q[2];
h q[2];
rx(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"IIIZZII",
"ZIIZIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
2.75,
-1,
-1.5,
-1,
-0.75,
-1,
-1.5,
-0.75,
-1.25,
-0.25,
0,
-1,
1.5,
0.25,
0.75
] | 0.65 | [
1.2166224269295487e-8,
-4.703941950630459e-8,
1.0471278675330475,
1.2694902564808772,
-0.4424797841444536,
1.333973771782864,
1.4117920327011293,
0.8124159459374324,
2.2415472708782914e-8,
-1.494340033644694,
1.5729220330218228e-7,
0.44247981073379616,
4.2241866926873623e-8,
0.381873338045... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 446 |
685055bd53f01c347f7f2a1d5c7df105 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, ... | {"states": [17, 25], "expectation_value": -1.73635514253337, "params": [0.0018000000000000002, 0.0019, 0.17600000000000002, 0.1778, 0.403, 0.3992, 0.3956, 0.39940000000000003, 0.3013, 0.30770000000000003, 0.0058000000000000005, 0.0057, 0.4016, 0.3985, 0.0021000000000000003, 0.004, 0.1731, 0.1802, 0.3967, 0.4045, 0.4035... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.75 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(... | 13 | 7 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4797837349974001) q[0];
h q[1];
ry(-0.4594080077714834) q[1];
h q[2];
cx q[2], q[1];
ry(0.4594080077714834) q[1];
cx q[2], q[1];
ry(-0.5285091559094166) q[1];
ry(1.0501560861052301) q[2];
cx q[0], q[2];
ry(-0.3025437017855025) q[2];
cx q[0], q[2];
cx 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIZZZII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"ZZIIIIZ",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 0.997373 | [
-1.5405747286543274,
1.4797837349974001,
-0.9188160155429668,
0.7476123843197278,
-0.26430076643161604,
0.605087403571005,
-0.5284167789556011,
0.3929290780401221,
-0.17663854259786047,
0.19831948416073308,
0.08498676328191558,
0.02449914135155666,
-0.004685982379966258,
-0.210952603139486... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
-710647696864117693 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [0, 1, 3, 5], [2, 3]]} | {"states": [54, 39], "expectation_value": -0.7473926724299184, "params": [[0.9375], [-0.40040000000000003]], "bitstrings": ["001001", "011000"], "total_optimization_steps": 100, "probabilities": [0.0546298077286889, 0.05462980772868891], "optimization_time": 2.127246618270874} | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.125 * Z(1) + 0.125 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.2500000000000004, -1.2500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["101000", "011000"], "largest_eigenvalue": 1.9999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.48779071653440786) q[0];
ry(-2.471851483014609) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.1518157245043459) q[2];
h q[3];
ry(1.2577198745717448) q[3];
h q[4];
cx q[4], q[2];
ry(0.1518157245043459) q[2];
cx q[4], q[2];
ry(-0.2427395945599177) q[2];
cx q[3], q[2];
r... | 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[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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[1], q[0];
rz(x1) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IZIZII",
"IIIIZZ",
"IIZZII",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0,
0,
0.125,
0.125,
0.1250000000000001,
0.125
] | 0.97352 | [
-0.3036314490086918,
1.2577198745717448,
-0.4854791891198354,
1.420960075303769,
-0.588826659267481,
0.2223049965838958,
0.20049123414847034,
-0.1518406634252474,
0.6607376826736875,
0.48063494709205073,
-0.2267362392752049,
-0.9755814330688157,
0.4203631618042976,
-0.4637934619520646,
-... | {
"n_parameters": 28,
"n_qubits": 6,
"optimal_eigenvalue": -1.2500000000000004,
"target_ratio": 0.97,
"target_value": -1.2125000000000004
} | 22 |
3b54a4f1ad1ff00c4601b5e716864e69 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [25, 21], "expectation_value": -3.5468989342246324, "params": [0.0129, 0.20370000000000002, 0.1066, 0.21530000000000002, -0.0036000000000000003, 0.1965, 0.4077, 0.10400000000000001, 0.40080000000000005, 0.1394, 0.38880000000000003, 0.21200000000000002, -0.002, 0.215, 0.40440000000000004, 0.09770000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(6) + ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["11101001", "11100110", "10011110", "01100111", "01101011", "10110110", "11011010", "11101010"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12944261904140572) q[0];
rz(0.29606517021003587) q[0];
rx(0.15210964232688173) q[1];
rz(-0.25726489825045107) q[1];
rx(-0.10484268332076102) q[2];
rz(0.1900482742759415) q[2];
rx(1.0205105204528417) q[3];
rz(0.19862071315747665) q[3];
rx(0.2878772849919273) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIIZ",
"IZIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIZIZI",
"IIIIZZII",
"IIZIIIZI",
"IIIZIZII",
"IZIZIIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"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,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.980901 | [
0.1294426190414057,
0.1702231830800569,
0.15210964232688173,
-0.07356669789485824,
-0.10484268332076102,
0.09279118694520132,
1.0205105204528417,
0.23659523648035446,
0.28787728499192716,
0.4219192126103372,
0.9222728913091744,
-0.1235585458128287,
-0.06752793131161941,
0.7997194586729612,... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 19 |
f2047c6dc2e9d682da53d8be7e542e8d | 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": [187, 155], "expectation_value": -92.56657659360498, "params": [0.0029000000000000002, 0.6034, 0.7826000000000001, 0.003, 0.0029000000000000002, 0.43460000000000004, 0.3755, 0.2341, 0.7896000000000001, 0.1149, 0.7858, -0.0108, 0.1761, 0.33430000000000004, 0.79, 0.08850000000000001, 0.769, -0.0008, 0.0041, 0.... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 25.5 * Z(1) ... | 16 | 9 | 4 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["101100100"], "largest_eigenvalue": 224.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.018338693093533993) q[0];
rz(0.6093230336300302) q[0];
rx(0.9603606045255976) q[1];
rz(-0.1298170864035293) q[1];
cx q[1], q[0];
rz(-0.055185074564165965) q[0];
cx q[1], q[0];
rx(-0.06963494207275371) q[0];
rz(0.6073477515895878) q[0];
rz(-0.19467207129340203) q[1... | 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] 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 floa... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
25.5,
-2.5,
20.5,
8,
27,
3.5,
21,
20,
-10
] | 0.978718 | [
-0.01833869309353399,
0.5541379590658636,
0.9603606045255976,
-0.1298170864035293,
0.18010795282356273,
0.13929651435498505,
0.40234233150912113,
0.5593677387703597,
0.30357718221269286,
0.7325431782030434,
-0.07469163318510996,
0.13681605179704748,
0.6238338669040726,
0.7699513365616536,
... | {
"n_parameters": 101,
"n_qubits": 9,
"optimal_eigenvalue": -103,
"target_ratio": 0.97,
"target_value": -99.91
} | 8 |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [111, 39], "expectation_value": -7.456903785028235, "params": null, "bitstrings": ["10010000", "11011000"], "total_optimization_steps": 52, "probabilities": [0.14337210102024978, 0.8124012117549206], "optimization_time": 53.21842002868652} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111000", "11111100"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\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[... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [0, 62], "expectation_value": -3.827230617095965, "params": [0.42000000000000004, 1.1751, 0.26630000000000004, -0.0699, 0.5475, 0.6464000000000001, 0.3104, 0.0558, -0.024200000000000003, 0.20800000000000002, 0.3795, 1.1802000000000001, -0.5443, 0.0145, -0.34140000000000004, 0.5394, -0.4103, 0.2975, -0.4849, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 6 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(0.04711975617208431) q[0];
ry(-0.1325599692463841) q[1];
ry(0.05687606388497443) q[2];
ry(0.004888508310247848) q[3];
ry(2.426655310760118) q[4];
ry(0.03493424051288598) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[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[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972855 | [
0.04711975617208431,
-0.1325599692463841,
0.05687606388497443,
0.004888508310247848,
2.426655310760118,
0.03493424051288598,
3.206370410814248,
0.05299809981433146,
-0.05722795343488331,
-0.15391392497352788,
-0.11681779862718587
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 13 |
-3377230158569737351 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 2], [0, 2, 3], [1, 2, 3]]} | {"states": [6, 13], "expectation_value": -0.0028147724341078054, "params": [[0.0224], [-0.0222]], "bitstrings": ["1001", "0010"], "total_optimization_steps": 10, "probabilities": [0.06264504481003591, 0.06268659838646541], "optimization_time": 1.1053588390350342} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * Z(1) + 0.3333333333333333 * Z(0) + 0.5 * Z(2) + 0.3333333333333333 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(3.1443707940086885) q[0];
rz(0.49360030635063545) q[0];
rx(3.0710132463711464) q[1];
rz(0.24725127970815602) q[1];
rx(0.12064271336725979) q[2];
rz(0.5538159133732122) q[2];
rx(3.2200852544932936) q[3];
rz(-0.21334014452514571) 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333
] | 0.99452 | [
3.1443707940086885,
0.49360030635063545,
3.0710132463711464,
0.24725127970815602,
0.12064271336725979,
0.5538159133732122,
3.2200852544932936,
-0.21334014452514571
] | {
"n_parameters": 8,
"n_qubits": 4,
"optimal_eigenvalue": -0.9999999999999998,
"target_ratio": 0.97,
"target_value": -0.9699999999999998
} | 8 |
a7fba5c7fdc2a0492603f740d30b0e3e | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [201, 232], "expectation_value": -2.6727452757108128, "params": null, "bitstrings": ["00110110", "00010111"], "total_optimization_steps": 54, "probabilities": [0.08533816759761513, 0.7525157014546147], "optimization_time": 181.00479412078857} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"], "largest_eigenvalue": 5.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.4868) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,... | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
aa9a137beae174c5d90acdfa52f10db2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2017, 2047], "expectation_value": -18.85696928949018, "params": [[[-0.0023, 1.7042000000000002], [-0.0029000000000000002, -0.0024000000000000002], [-0.0035, -0.0028], [-0.0031000000000000003, -0.003], [-0.0026000000000000003, -0.0029000000000000002], [-0.0027, -0.0027], [-0.0031000000000000003, 1.4775], [-0... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(8)) + -2.0 * (Z(3) @ Z(10)) + -1.5 * (Z(2) @ Z(10)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.007757021735012715) q[0];
rz(-2.5561629911943093) q[0];
rx(0.022053710928356465) q[1];
rz(0.3287011040622043) q[1];
rx(-0.1677927063105967) q[2];
rz(1.2397961310416932) q[2];
rx(-3.0780616025981415) q[3];
rz(-2.7390249317711355) q[3];
rx(-0.11927582601191732) 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]... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIII... | [
-2,
-2,
-2,
-2,
1,
-2,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5
] | 0.970182 | [
0.007757021735012715,
2.1562259891903808,
0.022053710928356465,
-1.2420952227326922,
-0.1677927063105967,
-0.33100019575320455,
3.205123704581445,
1.9733640486135549,
-0.11927582601191729,
0.15698278197084117,
-0.07616449399940625,
0.20336896632674176,
-0.06828313546055638,
0.3615577757813... | {
"n_parameters": 107,
"n_qubits": 11,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 391 |
3295398867795388253 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 5, 8, 9, 10], [0, 4, 5, 6, 8], [0, 1, 3, 4, 5, 7], [9, 10, 1], [0, 1, 4, 5, 6, 9], [0, 1, 4, 5, 8], [9, 2, 10, 6], [9, 3, 6], [1, 4, 6, 7], [0, 4, 5, 6, 7, 10], [2, 4, 5, 7, 8, 10], [1, 2, 3, 6, 8, 10], [1, 3, 4, 5, 7, 8], [0, 2, 4], [0, 9, 10, 4], [9, 2,... | {"states": [1012, 1013], "expectation_value": -4.890447837073346, "params": [0.0024000000000000002, -1.6453, 1.8528, 0.0024000000000000002, 2.1506000000000003, 0.0024000000000000002, 2.3432, 0.0027, 2.7155, -0.0024000000000000002, 3.0096000000000003, 0.0031000000000000003, 3.1442, -0.19160000000000002, 1.0406, -0.4747,... | 0.16666666666666669 * (Z(3) @ Z(5)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.08333333333333334 * (Z(9) @ Z(5)) + 0.3 * (Z(9) @ Z(3)) + 0.3 * (Z(9) @ Z(8)) + 0.16666666666666669 * (Z(10) @ Z(5)) + 0.26666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666669 * (Z(10) @ Z(8)) + 0.4333333333333333 * (... | 4 | 11 | 1 | {"smallest_eigenvalues": [-5.299999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.233333333333331, "smallest_bitstrings": ["10000001010"], "largest_eigenvalue": 24.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.07572027814267267) q[0];
rz(0.06619355830868656) q[0];
rx(2.0519306767040226) q[1];
rz(1.4950760486522237) q[1];
rx(2.1996373693603073) q[2];
rz(1.4950760486522237) q[2];
rx(2.3666623899288752) q[3];
rz(1.5126666994842086) q[3];
rx(2.6304857675704088) q[4];
rz(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": []} | [
"IIIIIZIZIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"IZIIIZIIIII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIZIIIIZ",
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IZIIIIZII... | [
0.16666666666666669,
0.21666666666666667,
0.25,
0.08333333333333334,
0.3,
0.3,
0.16666666666666669,
0.26666666666666666,
0.16666666666666669,
0.4333333333333333,
0.25,
0.08333333333333334,
0.1,
0.11666666666666667,
0.25,
0.26666666666666666,
0.23333333333333334,
0.25,
0.416666666... | 0.97737 | [
-0.07572027814267268,
-1.5046027684862098,
2.0519306767040226,
2.1996373693603073,
2.3666623899288752,
-0.05812962731068777,
2.6304857675704088,
-0.18364650117996423,
2.8562319944153347,
0.05644227831332377,
3.1376144066004836,
0.008497123659827438,
0.9325886371287013,
-0.2148842183667795,... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -5.299999999999999,
"target_ratio": 0.97,
"target_value": -5.140999999999999
} | 9 |
de5ae67769d18e3604b231a7c86101ec | 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": [3144, 3145], "expectation_value": -114.37001697702237, "params": [[1.2018, 1.2007, -0.1568, -0.3385, -0.039400000000000004, 1.0678, 0.0032, 0.17020000000000002, 1.1552, -0.0029000000000000002, 0.0035, 0.45740000000000003], [0.2167, 0.1892, 0.019, 0.2336, 0.1384, 1.0763, 0.0029000000000000002, 0.1796, 1.183,... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(3) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(11) @ Z(7)) + 0.5 * Z(2) + 17.5 * Z(1) + 24.0 * Z(0) + 3.5 * Z(4) + 13.5 * Z(5) + -6.5 * Z(... | 10 | 12 | 2 | {"smallest_eigenvalues": [-137.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -123.5, "smallest_bitstrings": ["001110110110"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4151923560067001) q[0];
ry(1.307071023448144) q[1];
ry(-0.004150208621513286) q[2];
ry(-0.5099286117349237) q[3];
ry(-0.2296783871649392) q[4];
ry(1.3215925525930423) q[5];
ry(0.00542048699644293) q[6];
ry(-0.14811803308068439) q[7];
ry(0.9400378294450957) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIZIIIIZIII",
"IIIZZIIIIIII",
"IIZIIIIIIIZI",
"ZIIIZIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0.5,
17.5,
24,
3.5,
13.5,
-6.5,
5.5,
-4.5,
1,
-4,
0,
-11
] | 0.971099 | [
1.4151923560067001,
1.307071023448144,
-0.004150208621513286,
-0.5099286117349237,
-0.2296783871649392,
1.3215925525930423,
0.00542048699644293,
-0.14811803308068439,
0.9400378294450957,
-0.0174438580077588,
-0.46630840462014034,
1.1355679686085973,
-0.08830451115119535,
0.1122323670001551... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -137.5,
"target_ratio": 0.97,
"target_value": -133.375
} | 17 |
4ad240d57102d025ddea38d8ddb54f36 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": ... | {"states": [647, 135], "expectation_value": -0.5078124964554416, "params": [[0.026000000000000002], [-0.021500000000000002]], "bitstrings": ["0101111000", "1101111000"], "total_optimization_steps": 10, "probabilities": [0.0011174275837419318, 0.0011248596284469327], "optimization_time": 2.5620968341827393} | -3.0 * (Z(0) @ Z(5)) + -3.0 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -3.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(1)) + 1.5 * (Z(6) @ Z(4)) + 1.5 * (Z(3) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(3) @ Z(6)) + -2.0... | 5 | 10 | 1 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.04046312835304951) q[0];
rz(-0.3243052263732884) q[0];
rx(0.003585585078849185) q[1];
rz(2.807666578619969) q[1];
rx(-0.0005729098741490882) q[2];
rz(2.2481832148137606) q[2];
rx(0.0022280056515224882) q[3];
rz(2.163859015544441) q[3];
rx(0.017428721619519253) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] 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];
h q[9];
cx q[5], q[0];
rz(... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIZZIIIII",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIIIIIIZII"... | [
-3,
-3,
0.5,
-3.5,
0.5,
-2.5,
-3.5,
0.5,
-3,
1.5,
1.5,
1,
-3,
-3,
-2,
-2,
-2,
-2,
-2,
-2,
-3,
1,
1.5,
1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.888096 | [
0.04046312835304951,
-1.895101553168185,
0.0035855850788491846,
1.236870251825072,
-0.0005729098741490881,
0.6773868880188629,
0.0022280056515224887,
0.593062688749544,
0.01742872161951925,
0.5350986429492697,
0.0018196998633463034,
0.8451806004273671,
0.004063637410643045,
1.5088025495585... | {
"n_parameters": 192,
"n_qubits": 10,
"optimal_eigenvalue": -36,
"target_ratio": 0.97,
"target_value": -34.92
} | 500 |
c508ed0753e7f28a56c3d421944e1b14 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [991, 31], "expectation_value": -2.2410999660497652, "params": [[0.0736], [-0.0819]], "bitstrings": ["0000100000", "1111100000"], "total_optimization_steps": 10, "probabilities": [0.0018045764598153171, 0.0019028436902766373], "optimization_time": 1.3310620784759521} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(9)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(7) @ Z(6)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["1111100000", "0000100000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7291371562030355) q[0];
h q[1];
ry(0.7291371562030355) q[1];
h q[2];
ry(0.7291371562030355) q[2];
h q[3];
ry(0.7291371562030355) q[3];
h q[4];
cx q[4], q[2];
ry(-0.7291371562030355) q[2];
cx q[4], q[2];
cx q[2], q[1];
ry(-0.7291371562030355) q[1];
cx q[2],... | 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[10] c;
qubit[10] 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];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII"... | [
-2.5,
-2.5,
-2.5,
-2,
0.5,
0.5,
0.5,
1,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
1,
-2,
1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.915952 | [
1.458274312406071,
1.3872352199077964,
0.43265572000725083,
1.7472751240308502,
2.460316084491704,
-1.6911549022642565,
1.3920584157237343,
-1.7964221369290723,
-0.13807442145023333,
1.4281463964483823,
0.6211818657583873,
0.02293687955143612,
-0.02160493637811021,
0.19460941767846418,
0... | {
"n_parameters": 76,
"n_qubits": 10,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
27c408f36f3749a0af3ff77dddb9a6ea | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [342, 854], "expectation_value": -2.103466974682995, "params": [[[1.608, 0.006200000000000001, 0.008400000000000001, 0.0094], [0.38230000000000003, -0.0017000000000000001, 1.5515, 0.0], [0.6920000000000001, 0.0023, 0.0048000000000000004, 0.0025], [0.46690000000000004, 0.0028, 1.3813, 0.0097], [0.0337, 0.0023... | 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(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 12 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011010001", "0010011001", "0100101001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.9832797652129619) q[0];
rz(-0.5770519755710892) q[0];
rx(1.4565290876916401) q[1];
rz(-0.46357754977916055) q[1];
rx(0.14127281389752583) q[2];
rz(0.5906818059308248) q[2];
rx(0.7909678010704663) q[3];
rz(-0.14857853309057878) q[3];
rx(-0.29147635421597956) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIZIZI",
"IIIIIZIZII"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0,
0,
0.125,
0.125,
0.125,
0,
-0.25,
-0.25,
... | 0.97426 | [
0.983279765212962,
-0.4420056947976079,
1.4565290876916401,
-0.46357754977916055,
0.14127281389752583,
0.5906818059308248,
0.7909678010704663,
-0.14857853309057878,
-0.29147635421597956,
0.024912261802634193,
1.0258909533899938,
0.15590237079349717,
0.011543723248921299,
0.4382288038755616... | {
"n_parameters": 119,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 34 |
1fc21af19f39ef7e600197f0903292a1 | max_flow | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [9714, 8688], "expectation_value": -4.631607271354118, "params": [[0.3009], [-0.322]], "bitstrings": ["01101000001101", "01111000001111"], "total_optimization_steps": 210, "probabilities": [0.0008879840423701732, 0.0008879840423701734], "optimization_time": 20.391197204589844} | 0.5 * (Z(0) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(12)) + -0.5 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1... | 1 | 14 | 1 | {"smallest_eigenvalues": [-8.666666666666618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666616, "smallest_bitstrings": ["01111000001111"], "largest_eigenvalue": 23.33333333333338} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] 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];
h q[9];
cx q[9], q[0];
rz(-0.021759544490300868) q[0];
cx q[9], q[0];
h q[10];
cx q[9], q[10];
rz(-0.8129178391790248) q[10];
cx q[9], q[10];
cx q[0], q[10];
rz(-0.021759544490300868) q[10];
cx 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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[14] c;
qubit[14] 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];
h q[9]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIIIZ",
"IIIZZIIIIIIIII",
"IIIZIIIIIIIIIZ",
"IZIIZIIIIIIIII",
"IZIIIIIIIIIIIZ",
"IZIZIIIIIIIIII",
"IIIIZIIIIIZIII",
"IIIIIIIIIIZIIZ",
"IIIZIIIIIIZIII",
"IZIIIIIIIIZIII",
"IIIIZIIIIZIIII",
"IIIIIIIIIZIIIZ",
"IIIZIIIIIZIIII",
"IZIIIIIIIZIIII",
"IIIIIIIIIZZIII",
"IIIIZIIIZIIIII"... | [
0.5,
1,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-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,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5... | 0.944067 | [
-0.021759544490300868,
-0.8129178391790248,
0.08080362872148196,
0.1058946028515379,
-0.46131958992601974,
0.5690573855613122,
-0.785022796161106,
0.3347115905020982,
1.0860162814879026,
-0.09519359290037288,
-1.4354758230357065,
0.24337184934904005,
0.4734837317039878,
-0.5709464486832951... | {
"n_parameters": 25,
"n_qubits": 14,
"optimal_eigenvalue": -8.666666666666618,
"target_ratio": 0.97,
"target_value": -8.40666666666662
} | 300 |
1c92797ebdc5766ffafd498d21cf8a8a | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 34], "expectation_value": -3.4116322463037734, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 20, "probabilities": [0.06012643125725526, 0.7888196926387847], "optimization_time": 17.03613042831421} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 2 | {"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": ["111100", "001111", "101011", "110011", "101110", "011101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
h... | 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",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IZZIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-1
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
11576eab70c2ec583415b5e8bd58f9e2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [84, 85], "expectation_value": -2.894695573888316, "params": [0.7918000000000001, 0.1496, 0.0027, 0.4772, 0.8848, 0.1522, 0.051500000000000004, 0.48660000000000003, 0.8823000000000001, -0.0256, -0.0045000000000000005, 0.6633, 0.47340000000000004, 0.0012000000000000001, 0.7815000000000001, 0.1621, -0.0014, 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(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 18 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"], "largest_eigenvalue": 5.75} | 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[... | 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"ZIIIIZI",
"IIIZZII",
"ZIIIZII",
"ZIIZIII",
"ZIIZZII",
"IZZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.25,
0,
0,
-0.25,
-1,
-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 |
bfcc016c6d32554855d911056b5152b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -1.1975006003964934, "params": [[0.0563], [-0.0531]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0054114875745223485, 0.005651414471760843], "optimization_time": 2.319998264312744} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
4a01a984c253fac78cca60269d01efc1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [378, 374], "expectation_value": -1.4661681250102303, "params": [[[0.5044000000000001, 0.0221], [0.46030000000000004, -0.0246], [0.267, -0.1617], [0.4999, 0.49810000000000004], [0.4983, 0.4016], [0.4955, 0.31220000000000003], [0.49500000000000005, 0.32880000000000004], [0.41700000000000004, 0.5022], [0.2877,... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101001010", "0100011010", "0100101010", "0100101001", "0110000110", "0111000010", "0110001010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6793430139584373) q[0];
rz(-0.5475083314169016) q[0];
rx(0.09515557675715071) q[1];
rz(0.4627722943263448) q[1];
rx(1.739060974583087) q[2];
rz(0.6202117139471692) q[2];
rx(0.042183941876142855) q[3];
rz(0.392309081606653) q[3];
rx(-0.11805148560226901) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZZII",
"IIIIZIZZII",
"IIIIZZIZII",
"IIIIZZZIII",
"IIIIZZZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IZIIIZIIII"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.25,
-0.125,
-0.1... | 0.982293 | [
1.6793430139584373,
-0.2659334535269083,
0.09515557675715071,
0.3302807664246088,
1.739060974583087,
0.3162368239205352,
0.042183941876142855,
0.5392977024642969,
-0.11805148560226902,
0.5788311737990788,
0.08362319787918186,
0.5828470670098009,
1.4443840052954673,
0.3194847730018116,
0.... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
7fe3e81ce98b6aa7c8360164e3e03bbf | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [57, 59], "expectation_value": -3.9797179170327324, "params": [[[-0.021, -0.26890000000000003], [-0.0068000000000000005, -0.325], [-0.0159, -0.3114], [0.6096, -0.0027], [0.6053000000000001, 0.0029000000000000002], [0.5994, -0.0016], [0.5181, -0.0568], [0.5291, 0.0546], [0.6046, 0.0009000000000000001]], [[-0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(4) + 0.0 * Z(8) + 0.0 * Z(3... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["110001010", "111000100", "111000010"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.6037815215160531) q[0];
ry(0.037659277269411574) q[0];
rz(-0.8868161110328296) q[0];
rz(1.2388573392711724) q[1];
ry(0.08362577040641815) q[1];
rz(-1.3471102698866366) q[1];
rz(0.6948217846204745) q[2];
ry(0.16612106230164816) q[2];
rz(-1.2670870139818564) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-0.5,
0,
0,
-0.5,
0,
-0.5
] | 0.979665 | [
0.06810491312207706,
-0.4199706097699552,
0.06746739148530187,
-0.701299556002146,
-0.1582015625007575,
0.26491376027399294,
1.192544245838305,
0.1396421972038814,
0.6080232921239253,
0.03869482634443916,
0.9795599159869267,
-0.11251224109239093,
0.9170169136499168,
0.11832724160196978,
... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 20 |
b09e755efcca3feee9a922b2db1722b3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [406, 151], "expectation_value": -39.1065273194654, "params": [1.1826, 0.6751, 1.2043000000000001, 0.2144, 0.0031000000000000003, 0.7087, 0.796, 0.3327, 1.2014, 0.196, 0.5584, 0.39080000000000004, 1.1949, 0.029500000000000002, 1.2012, 0.014400000000000001, 1.1885000000000001, 0.8195, 0.9788, 0.0046, 1.2078, ... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(0)) + 4.5 * Z(0) + 7.0 * Z(1) + -3.0 * Z(2) + 13.5 * Z(4) + 4.5 * Z(3) + 1.5 * Z(5) + 10.0 * Z(7) + 13.5 * Z(6) + 1.5 * Z(8) | 18 | 9 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["101101000"], "largest_eigenvalue": 102.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.4368843037703667) q[0];
rz(2.0721720925959675) q[0];
rx(1.3761392244125585) q[1];
rz(0.33627435799786726) q[1];
rx(-0.02950401817794135) q[2];
rz(0.4572693737867416) q[2];
rx(-0.034045129361703855) q[3];
rz(1.052376737029618) q[3];
rx(1.5490572092953667) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZZIIII",
"IZIZIIIII",
"IIZIZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
4.5,
7,
-3,
13.5,
4.5,
1.5,
10,
13.5,
1.5
] | 0.972218 | [
0.4368843037703667,
1.3269502983978776,
1.3761392244125585,
0.33627435799786726,
-0.02950401817794135,
0.4572693737867416,
-0.034045129361703855,
1.052376737029618,
1.5490572092953667,
0.15441225287404106,
-0.03648869644585652,
0.4225512122897663,
1.662537694152392,
0.011146338858872756,
... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 27 |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [150, 158], "expectation_value": -2.430811837451412, "params": [[[0.5004000000000001, 0.0012000000000000001], [0.21430000000000002, 0.008], [-0.0245, -0.0194], [0.8449000000000001, 0.7052], [0.9166000000000001, 0.5327000000000001], [0.2076, 0.5781000000000001], [0.6761, 1.0033], [0.6454000000000001, 0.000900... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001100", "01100001", "10001010", "10010001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIZIIZIZ",
"IIIIZIZI",
"IZIIIIZI",
"IZIIZIII",
"IZIIZIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZZZIIIII",
"ZIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
0,
0,
-0.25,
0,
0,
-0.25
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
d6ca78958a015bca449989b3cc828628 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [740, 748], "expectation_value": -2.9461319805335586, "params": [0.2962, -0.005, 0.2979, -0.0012000000000000001, 0.0985, 0.1038, 0.1066, 0.09770000000000001, 0.2969, 0.0111, 0.299, 0.0308, 0.3058, 0.0031000000000000003, 0.2995, -0.0022, 0.3022, 0.0007, 0.3009, 0.0021000000000000003, -0.0055000000000000005, 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 7 | 10 | 4 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["0100011010", "0100010011"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4045751282710122) q[0];
rz(pi/2) q[0];
ry(0.6816005629861718) q[1];
ry(1.8376207076971505) q[2];
ry(0.6829995480513509) q[3];
ry(1.4492712809194404) q[4];
ry(-0.0846059078972762) q[5];
ry(-0.19128764720461447) q[6];
ry(1.8677165242780502) q[7];
ry(0.03043305180600... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIZIIZIIZ",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ"... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25... | 0.970394 | [
1.4045751282710122,
0.6816005629861718,
1.8376207076971505,
0.6829995480513509,
1.4492712809194404,
-0.0846059078972762,
-0.19128764720461447,
1.8677165242780502,
0.030433051806005987,
1.684436087595031,
2.3889462813476596,
0.3885995382391464,
0.07537670339774295,
1.8102815052960888,
-1.... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 75 |
ad7ba83290870f78ee39f06faaa6d5c0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 127], "expectation_value": -1.499899933649968, "params": [[0.0043, 0.0028, 0.0032, 1.087, -1.0848, 0.0045000000000000005, 0.0026000000000000003, 0.0037], [0.0027, 0.0021000000000000003, -0.0026000000000000003, 0.7808, 0.7744000000000001, 0.0026000000000000003, 0.0009000000000000001, 0.0027], [0.896400000... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 9 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000110", "10000010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.034844011332879614) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.034844011332879614) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.021220240325448322) q[7];
cx q[3], q[7];
cx q[0], q[7];
cx 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
1.25,
-0.25,
0,
-1,
1,
0.5,
-1.25,
-0.25
] | 0.970653 | [
-0.034844011332879614,
0.021220240325448322,
4.14081704613734,
-0.02836829097701573,
0.9928839988256033,
-0.7241766421867887,
-0.8495874140952102,
-0.37261573279980825,
-0.7361582307300965,
-0.4162496087713253,
1.820243699490485,
-0.0028210601597248794,
-0.22590816858116236,
0.543504316292... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 461 |
2192688870611528063 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [3, 6], [2, 6], [0, 7], [3, 4], [2, 4]]} | {"states": [202, 240], "expectation_value": -0.07099499492147633, "params": [[0.0789], [-0.07640000000000001]], "bitstrings": ["00110101", "00001111"], "total_optimization_steps": 10, "probabilities": [0.004487754118026641, 0.004487754118026641], "optimization_time": 1.1513445377349854} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001011", "10110100", "00110101", "10001110", "01110001", "11001010", "00001111", "11110000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4653092774960029) q[0];
h q[1];
ry(-0.4653092774960029) q[1];
h q[2];
ry(0.29091440485771564) q[2];
h q[3];
h q[4];
ry(-0.4653092774960029) q[4];
cx q[3], q[4];
ry(0.4653092774960029) q[4];
cx q[3], q[4];
ry(-0.26281816932571284) q[4];
h q[5];
cx q[5], q[1... | 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[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[7]... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IZIIZIII",
"IZIIIZII",
"ZIIIIIIZ",
"IIIZZIII",
"IIIZIZII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973691 | [
-0.9306185549920059,
0.5818288097154313,
0.8147276803587339,
-0.5256363386514257,
0.030603289729548913,
1.2228228072833742,
-0.17713151740275818,
0.8854287545278243,
0.22557433787816614,
0.5146318997747337,
-0.5479165534789622,
-0.4879403663983941,
-0.048886494604778084,
-0.132109918725247... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 66 |
474afac3a31ba487f93ea7ccb82b3637 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [83, 85], "expectation_value": -16.172240777607765, "params": null, "bitstrings": ["10101100", "10101010"], "total_optimization_steps": 77, "probabilities": [0.05571345186147708, 0.7665055652737572], "optimization_time": 111.90668892860413} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.36872562284623683) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0013655158718997333) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.00014135006894810655) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8230635131707402) 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(1.5577) 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[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIII... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
2.75,
-0.25,
-1,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.5,
-1.25,
3.5,
-0.25,
-1.75,
-2.25,
-0.75,
0.25,
-2.25,
3.5
] | 0.701154 | [
-0.36872562284623683,
0.0013655158718997333,
0.00014135006894810655,
-0.8230635131707402,
0.436838185920855,
-0.026107577769653063,
0.6164086498279017,
0.0005290909695814357,
-1.5695427040038046,
1.5735797033135825,
-1.5707911703690771,
1.5642689749322976
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 323 |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -6.144746033732121, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 59, "probabilities": [0.3669769650464584, 0.3669769650464584], "optimization_time": 75.41820025444031} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "10000110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.034844011332879614) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.034844011332879614) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.021220240325448322) q[7];
cx q[3], q[7];
cx q[0], q[7];
cx q[3... | 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(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
1.25,
-0.25,
0,
-1,
1,
0.5,
-1.25,
-0.25
] | 0.970653 | [
-0.034844011332879614,
0.021220240325448322,
4.14081704613734,
-0.02836829097701573,
0.9928839988256033,
-0.7241766421867887,
-0.8495874140952102,
-0.37261573279980825,
-0.7361582307300965,
-0.4162496087713253,
1.820243699490485,
-0.0028210601597248794,
-0.22590816858116236,
0.543504316292... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 461 |
af274ddfbc35fabd9c11fc21fb9623a5 | matching | 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}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [250, 122], "expectation_value": -65.31097966603454, "params": [0.47550000000000003, 0.32, 1.0846, 0.08370000000000001, 1.0638, 0.0253, 1.0637, -0.0049, 1.0647, 0.08850000000000001, -0.0032, 0.6828000000000001, 1.0649, 0.0818, -0.0022, 0.6836, 0.48150000000000004, 0.3069, 1.0558, 0.0897, 1.0679, 0.0083, 1.06... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 14.5 * Z(2) + 14.0 * Z(1) + 18.5 * Z(0) + 15.5 * Z(3) + 11.5 * Z(4) + -3.5 * Z... | 18 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.15067532177156312) q[0];
rz(0.0009663557384662624) q[0];
rx(0.979027003738444) q[1];
rz(-0.03934110696098834) q[1];
rx(1.1435233328490304) q[2];
rz(-0.005600377117107563) q[2];
rx(0.9437878818506262) q[3];
rz(-0.08654817862866636) q[3];
rx(0.9586458604785757) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZZII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"IZIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
14.5,
14,
18.5,
15.5,
11.5,
-3.5,
12,
-3.5
] | 0.970612 | [
0.15067532177156312,
0.4462220905300078,
0.979027003738444,
-0.03934110696098834,
1.1435233328490304,
-0.005600377117107563,
0.9437878818506262,
-0.08654817862866636,
0.9586458604785757,
0.08428078000667999,
-0.06652078616456342,
0.5396743605956517,
1.16725613273305,
0.06455609803737655,
... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 5 |
1469172568662182463 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [3, 6], [0, 2], [1, 6], [0, 6], [6, 7], [0, 7], [8, 4], [1, 4], [2, 3], [8, 0], [4, 5], [0, 1]]} | {"states": [205, 306], "expectation_value": -0.031906254152898286, "params": [[-0.036500000000000005], [0.033800000000000004]], "bitstrings": ["100110010", "011001101"], "total_optimization_steps": 10, "probabilities": [0.0020407171868704567, 0.0020407171868704567], "optimization_time": 3.420398473739624} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001111", "011001101", "100110000", "100110010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.7065638202049728) q[1];
h q[2];
ry(-0.0837160834492123) q[2];
cx q[0], q[2];
ry(0.0837160834492123) q[2];
cx q[0], q[2];
ry(1.1708216443076749) q[0];
ry(-0.5152004516712303) q[2];
h q[3];
ry(1.4999363599473587) q[3];
cx q[3], q[2];
ry(0.51520045167... | 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[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];... | null | {"circuits": [], "gradients": []} | [
"IIZIZIIII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIZIIIIZI",
"IIIIZIIZI",
"IIIIIIIZZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"IIIZZIIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973787 | [
-0.1674321668984246,
1.4999363599473587,
1.1708216443076749,
-1.0304009033424606,
-0.8936760734737405,
1.5002315225486267,
-1.688496707978498,
0.33411130481685036,
-1.4131276404099455,
-1.1277660205414939,
0.2967396174012309,
-0.2978837764999167,
0.13295287235989622,
-0.13815526782057597,
... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 19 |
04fe200220cb0278b572d83172c75de9 | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [63, 1], "expectation_value": -1.2691644200196543, "params": [[0.0753, 0.06810000000000001], [-0.0767, -0.06810000000000001]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015208125570822122, 0.01699660971801348], "optimization_time": 2.6310410499572754} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.06130815730018118) q[0];
rz(0.463469290764003) q[0];
rx(-0.07581104059622698) q[1];
rz(0.0489247887747748) q[1];
rx(-0.011251041592074667) q[2];
rz(-0.5619835883705591) q[2];
rx(-0.00789090442000682) q[3];
rz(0.27967715048844255) q[3];
rx(0.20171769347520233) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.75,
-1,
-1.25,
1,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.25,
-0.25,
-1.5,
-0.75,
0.75,
0,
2
] | 0.976998 | [
-0.061308157300181174,
0.30964234416005165,
-0.07581104059622698,
-0.17585963221822506,
-0.01125104159207467,
-0.4382858872484008,
-0.007890904420006818,
0.39046647275242663,
0.2017176934752023,
-0.3470176638746595,
0.08692341497440934,
-0.309682958908232,
0.7849760118838354,
0.03717952235... | {
"n_parameters": 71,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
aafba232bddbab68741369c28fd60f9f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [1, 11], "expectation_value": -2.8524873504169967, "params": [[0.1422], [-0.164]], "bitstrings": ["111110", "110100"], "total_optimization_steps": 20, "probabilities": [0.028089320310923864, 0.03137021848808903], "optimization_time": 2.6738457679748535} | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 25.25} | 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(-0.6059711361663426) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.002835582251174708) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.6059711361663426) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.01656... | 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[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[4], q[0... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZZIIII",
"ZIIIIZ",
"IZIIZI",
"IIIIZZ",
"ZIIIZI",
"IZIZII",
"IIIZIZ",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
2,
1,
0.5,
0.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
2.5,
0.5,
5,
0.5,
-1,
-2
] | 0.927765 | [
-0.6059711361663426,
0.002835582251174708,
-0.005892897267408092,
1.9673946829852578,
-0.016569426499993246,
0.0007364663076169241,
-1.7704792450087574,
-1.8455644619428733,
0.2451053747201248,
-1.3001258169311252,
-1.066059710326319,
0.0004593878512842986,
-0.01598779461431634,
1.89697250... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 500 |
7c7664cb9cb13a35da50c3201e32fb16 | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [14, 97], "expectation_value": -0.48666987183882426, "params": [[0.0585, 0.057600000000000005, 0.062400000000000004], [-0.051800000000000006, -0.0541, -0.051300000000000005]], "bitstrings": ["1110001", "0011110"], "total_optimization_steps": 10, "probabilities": [0.011883959351786405, 0.011883959351786417], ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001110", "1101001", "0011110", "1001011", "1110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) 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] 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": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
-2728427003160877860 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4], [3, 4, 5, 7], [0, 1, 6], [0, 4, 5], [0, 1, 2, 7], [1, 2, 5, 7], [0, 1, 5]]} | {"states": [217, 183], "expectation_value": -0.7627667570257973, "params": [[0.2832], [-0.2896]], "bitstrings": ["00100110", "01001000"], "total_optimization_steps": 30, "probabilities": [0.008243238660047818, 0.008266807052917931], "optimization_time": 1.431105136871338} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["01001000"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.21064480118030005) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.6639492543236568) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.21064480118030005) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(-0.08905360317384883) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"ZIIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IZIIIIIZ",
"IZIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIIZIII... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.... | 0.652925 | [
0.21064480118030005,
0.6639492543236568,
-0.08905360317384883,
0.0637851540555502,
0.3420234583740321,
1.2066978350359558,
-0.2074911168101479,
0.21366555310643395,
1.4699599788585258,
1.5209140593219845,
-0.9741858564900887
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 250 |
d972279ded7f316374e6dacb276633a3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [127, 63], "expectation_value": -8.246022690664965, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 92, "probabilities": [0.20212563034862113, 0.47108249525079704], "optimization_time": 148.91766381263733} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["11101110", "10000000", "11000000"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13442413146705395) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.07286226668025671) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1861896832309193) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(-0.07286226668025671) q[2];
cx q[3], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-1.75,
2,
-1.25,
-1,
-0.5,
-0.25,
1,
0.25,
0.25,
0.75,
-1.25,
-0.25
] | 0.670838 | [
0.13442413146705395,
-0.07286226668025671,
-0.1861896832309193,
0.1849566279514951,
2.809786825153633,
-1.1485726075418965,
0.38576139094804596,
-1.4038660711190325,
-1.540477952854178,
1.5029054381745803,
1.162846184501586
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 322 |
e314f97a67cf53680761d0291b0562fe | 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": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 6}, {"weight": 2, "source": 2, "targ... | {"states": [238, 214], "expectation_value": -29.061190579877028, "params": [[0.0238, 0.0024000000000000002, -0.0043], [-0.0698, -0.0711, -0.061700000000000005]], "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.007310748414711269, 0.009697290146890355], "optimization_time": ... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 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(2)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.7848721589206132) q[0];
rz(0.04194138563454514) q[0];
ry(0.39865747344183) q[1];
rz(-0.0612521465577483) q[1];
cx q[1], q[0];
ry(-0.006687974365908147) q[0];
rz(-0.03836999471803828) q[0];
ry(1.0096850989931674) q[1];
rz(-0.14705391414274013) q[1];
ry(0.07953377028... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"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,
0.5,
17.5,
1,
15,
9.5,
21.5,
17,
5
] | 0.973892 | [
0.7848721589206132,
0.04194138563454514,
0.39865747344183,
-0.0612521465577483,
0.0795337702823364,
0.22254094005839722,
0.1050209968436272,
-0.11038104505875938,
-0.6164426647618211,
-0.038148614308604493,
-0.06769940739439982,
-0.5194767305362138,
-0.6533792819673797,
0.13250594591317685... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 28 |
-233323863368405135 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [0, 3, 4, 6], [3, 4, 5, 6], [0, 1], [1, 6], [2, 6]]} | {"states": [69, 71], "expectation_value": -0.2439840755658473, "params": [[0.1724], [-0.1585]], "bitstrings": ["0111010", "0111000"], "total_optimization_steps": 20, "probabilities": [0.011774174961026125, 0.011776702264112753], "optimization_time": 0.8402752876281738} | 0.5 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.16419615313139993) q[1];
h q[2];
ry(-0.7415094804922518) q[2];
h q[3];
ry(-0.3340003661627588) q[3];
h q[4];
ry(1.4198094372229515) q[4];
ry(-2.5205899775093403) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[1];
ry(0.16419615313139993) q[1];
cx q[6], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(x1)... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"IIZIIIZ",
"IIIIIZZ",
"IIZZIII",
"IIIZIIZ",
"ZIZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZZIIII",
"IZIZIII",
"ZZIIIII",
"ZIIIZII",
"IIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.25,
0,
0.1250000000000001,
0.24999999999999994,
0.25,
0.125,
0
] | 0.972413 | [
-0.32839230626279986,
1.4198094372229515,
-0.2156168678279938,
1.4572927905379314,
-1.4830189609845037,
-0.5927418281713489,
1.1930160759549415,
0.35751323311697514,
-0.5830422597187936,
-0.6680007323255176,
0.07718474028899758,
-0.3931927060575719,
0.2084129059277624,
-0.09065694626596899... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
bb51b85a8f0cca1e878093cb2d4e9f25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 3}, {"weight": 9... | {"states": [190, 118], "expectation_value": -13.095283179147675, "params": [[0.0397], [-0.0727]], "bitstrings": ["01000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007305376591263986, 0.007937626457480024], "optimization_time": 4.185349225997925} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 179.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
20.5,
6.5,
20,
17,
8,
18.5,
16.5,
9
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
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