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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | adaptive_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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 8.50178074836731} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
193bd74fa5c39737b189c4cd7c74ab9f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [81, 42], "expectation_value": -0.17374579985872257, "params": [[0.0717], [-0.055200000000000006]], "bitstrings": ["0101110", "1010101"], "total_optimization_steps": 10, "probabilities": [0.00875797313784428, 0.008887794025962889], "optimization_time": 1.4674477577209473} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) + -1.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "0101011", "1010101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.5417013838583502) q[0];
rz(pi/2) q[0];
ry(0.6782699899229163) q[1];
ry(0.1720005691671715) q[2];
ry(0.19601496501627524) q[3];
ry(0.6262436831314333) q[4];
ry(0.08205121376540625) q[5];
ry(1.5614702127359963) q[6];
ry(0.9167370092870792) q[7];
ry(-0.23296237493405... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IIIZZII",
"ZIIIIZI",
"ZZIIIII",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
-1,
-1
] | 0.972748 | [
0.5417013838583502,
0.6782699899229163,
0.1720005691671715,
0.19601496501627524,
0.6262436831314333,
0.08205121376540625,
1.5614702127359963,
0.9167370092870792,
-0.2329623749340569,
0.9201124023937775,
0.9360813317955685,
-0.1296646473496111,
-0.32778770506260324,
-0.025254944202995448,
... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 38 |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -8.751887906528104, "params": [[[0.0024000000000000002, 0.3764], [0.5892000000000001, -0.0021000000000000003], [0.0019, 0.46290000000000003], [0.003, 0.4384], [0.0031000000000000003, 0.4514], [0.0024000000000000002, 0.4549], [0.5748, -0.0024000000000000002]], [[-0.0006000000000... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | 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",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 29], "expectation_value": -0.65978695154708, "params": [[0.059300000000000005, 0.07060000000000001, 0.0597], [-0.0369, -0.0635, -0.0599]], "bitstrings": ["010110", "100010"], "total_optimization_steps": 10, "probabilities": [0.02264038644803355, 0.02483261288959942], "optimization_time": 3.5779139995574... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
0,
0
] | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
348c13052b9cd507aa792296e385f0a4 | 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": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -1.0738216515226913, "params": [[-0.061000000000000006, -0.0843], [0.060000000000000005, 0.0747]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.014987354179142152, 0.01610501365241964], "optimization_time": 3.6191039085388184} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
e8c8cfc7e8daa626bbd3fa15225b536c | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [47, 63], "expectation_value": -20.32492333437142, "params": null, "bitstrings": ["11111010000", "11111000000"], "total_optimization_steps": 100, "probabilities": [0.19443095296253546, 0.348787675749823], "optimization_time": 301.349814414978} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(10) @ Z(6)) + -2.0 * (Z(10) @ Z(5)) + -3.0 * (Z(8) @ Z(6)) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["11111000000"], "largest_eigenvalue": 33.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7063154383375968) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.18441878022127048) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.7063154383375968) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.18441878022127048) q[4];
cx... | null | {"node": 1} | {"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];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = m... | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"ZIIIZIIIIII",
"ZIIIIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"ZIZIIIIIIII",
"IZIIZIIIIII",
"IZIIIZIIIII",
"ZZIIIIIII... | [
-2.5,
1,
-2.5,
1,
0.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
-2,
-3,
0.5,
1,
-3,
1,
-3,
-2.5,
1,
0.5,
-2,
-2.5,
-2.5,
1.5,
-2,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.574789 | [
-0.7063154383375968,
-0.18441878022127048,
-0.05902138601868283,
-1.0658681470472213,
-0.3514436695032444,
-0.49965364965847203,
-1.0276775327397276
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -34.5,
"target_ratio": 0.97,
"target_value": -33.464999999999996
} | 177 |
4039461323024514307 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 5, 7], [0, 2, 5, 6, 8, 9], [3, 6], [9, 3, 4], [0, 1, 2, 4, 6, 9], [0, 6, 7], [1, 2, 3, 5, 7, 8, 9], [1, 5, 6, 7, 9], [0, 4, 7], [4, 5, 6, 8, 9], [0, 1, 7, 8, 9], [2, 3, 4, 5, 7], [1, 4, 5, 6], [1, 2, 4, 5]]} | {"states": [430, 431], "expectation_value": -2.976099291474033, "params": [[[0.7374, -0.7704000000000001, 0.0037, 0.0094], [0.5331, -0.7704000000000001, 0.08120000000000001, 0.0019], [1.5817, -0.0018000000000000002, 1.5813000000000001, 0.008700000000000001], [1.5863, -0.0031000000000000003, 1.5816000000000001, 0.0083],... | 0.11666666666666667 * (Z(0) @ Z(1)) + 0.1738095238095238 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.05714285714285714 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.10714285714285715 * (Z(3) @ Z(2)) + 0.2738095238095238 * (Z(5) @ Z(1)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.2238095238095238 * (Z(5) @ Z(2))... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.457142857142856], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.309523809523809, "smallest_bitstrings": ["1001010000"], "largest_eigenvalue": 13.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.22002122861267046) q[0];
rz(-0.7410157732676181) q[0];
ry(0.07138852347060562) q[1];
rz(-0.7410157732676181) q[1];
cx q[1], q[0];
ry(-0.023789261086167503) q[1];
rz(0.3050081891904629) q[1];
ry(1.5677986935873345) q[2];
rz(-0.15249608382605068) q[2];
ry(1.82849953... | 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",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IIIZZIIIII"... | [
0.11666666666666667,
0.1738095238095238,
0.1,
0.05714285714285714,
0.03333333333333333,
0.10714285714285715,
0.2738095238095238,
0.06666666666666667,
0.2238095238095238,
0.10714285714285715,
0.15714285714285714,
0.41666666666666663,
0.10714285714285715,
0.10714285714285715,
0.15714285714... | 0.973888 | [
0.22002122861267046,
-0.7410157732676181,
0.07138852347060562,
1.5677986935873345,
-0.15249608382605068,
1.8284995391515149,
-0.2284162707196265,
1.4866205593877626,
0.0754815797893775,
1.8799397813862533,
-0.035680635326324206,
1.8051372815626914,
0.02406631225040494,
0.08245866300744015,... | {
"n_parameters": 35,
"n_qubits": 10,
"optimal_eigenvalue": -3.457142857142856,
"target_ratio": 0.97,
"target_value": -3.3534285714285703
} | 20 |
9915ff93784d747e82bcd9a73a2399e5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -2.996464150018099, "params": null, "bitstrings": ["00011", "10001"], "total_optimization_steps": 19, "probabilities": [0.06634807398600236, 0.9303666439722974], "optimization_time": 9.249803066253662} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
0,
0
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
-5360498907166048928 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5, 6, 7, 8, 9, 10], [0, 1, 3, 6, 8, 9], [1, 3, 4, 6, 11], [0, 1, 2, 6, 8, 9, 10, 11], [2, 3, 4, 6, 7, 8, 10], [0, 1, 11, 5], [1, 2, 3, 4, 7, 8, 9, 11], [0, 2, 5, 8, 9, 10, 11], [2, 3, 6, 7, 8, 9, 10, 11], [1, 2, 5, 7, 10, 11], [0, 3, 5, 6, 8, 9,... | {"states": [2809, 3065], "expectation_value": -2.6381506609429812, "params": [1.5819, 1.5536, 0.30910000000000004, 0.3068, 0.9844, 0.9817, 0.7782, 0.8353, 1.7670000000000001, 1.3724, 1.5718, 1.5751000000000002, 1.5697, 1.568, 1.5688, 1.5679, 1.5735000000000001, 1.5721, 0.5273, 0.37070000000000003, 0.3416, 0.3387, 1.594... | 0.1007936507936508 * (Z(1) @ Z(2)) + 0.10515873015873015 * (Z(3) @ Z(2)) + 0.15674603174603174 * (Z(3) @ Z(1)) + 0.1361111111111111 * (Z(5) @ Z(2)) + 0.1722222222222222 * (Z(5) @ Z(1)) + 0.09325396825396826 * (Z(5) @ Z(3)) + 0.12063492063492062 * (Z(6) @ Z(2)) + 0.1484126984126984 * (Z(6) @ Z(1)) + 0.1765873015873016 *... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.960714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.960714285714285, "smallest_bitstrings": ["010000000110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4713192760823337) q[0];
rz(0.0040098262683985406) q[0];
ry(0.14076484401436998) q[1];
ry(1.7947791760800298) q[2];
ry(1.5186424483717178) q[3];
ry(1.9231672096063692) q[4];
ry(1.5923461324798824) q[5];
ry(1.7151033107662785) q[6];
ry(1.4860825710949217) q[7];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIIZIIIIZII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIIIIIIZI",
"IIIZIIIIZ... | [
0.1007936507936508,
0.10515873015873015,
0.15674603174603174,
0.1361111111111111,
0.1722222222222222,
0.09325396825396826,
0.12063492063492062,
0.1484126984126984,
0.1765873015873016,
0.08492063492063492,
0.14007936507936505,
0.08888888888888888,
0.09722222222222221,
0.10436507936507936,
... | 0.976929 | [
1.4713192760823337,
0.14076484401436998,
1.7947791760800298,
1.5186424483717178,
1.9231672096063692,
1.5923461324798824,
1.7151033107662785,
1.4860825710949217,
1.5232042544315405,
0.22639866533348024,
-0.03731329043863766,
1.6332334571146292,
0.008019652536797081,
0.12390714615707293,
0... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -2.960714285714286,
"target_ratio": 0.97,
"target_value": -2.871892857142857
} | 15 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [22, 7], "expectation_value": -12.41713742248698, "params": null, "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 64, "probabilities": [0.10636678277270013, 0.6088615559824023], "optimization_time": 87.56629395484924} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 14 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
2ebc839a20c2d3cd0797b936657b1618 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [1023, 255], "expectation_value": -19.834819179014882, "params": null, "bitstrings": ["110000000000", "111100000000"], "total_optimization_steps": 100, "probabilities": [0.08816579799064155, 0.4811265414798879], "optimization_time": 244.0994791984558} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(10)) + -2.0 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(7)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["111100000000"], "largest_eigenvalue": 30.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.15062065282998804) q[0];
ry(0.08000585414962517) q[1];
ry(0.19895293273642028) q[2];
ry(-0.05204947374115322) q[3];
ry(-0.00017315724766965232) q[4];
ry(0.26697563391723417) q[5];
ry(0.06409186288749169) q[6];
ry(0.06409186288749169) q[7];
ry(0.04997518063106422)... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[3], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIII... | [
-2,
-2.5,
-2.5,
1,
1,
-2.5,
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974833 | [
-0.15062065282998804,
0.08000585414962517,
0.19895293273642028,
-0.05204947374115322,
-0.00017315724766965232,
0.26697563391723417,
0.06409186288749169,
0.04997518063106422,
0.00902684384997679,
0.046440561612187674,
0.1487060562798365,
2.863763109987125,
0.053533442720468206,
0.0814011856... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 24 |
0df4df25c74ca38eb293288a64f6d090 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [125, 93], "expectation_value": -45.00140435206537, "params": null, "bitstrings": ["10000010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.15666428943704894, 0.3398361120055857], "optimization_time": 149.48929166793823} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13472719791426957) q[0];
rz(0.7621816108220933) q[0];
rx(0.9797023371778154) q[1];
rz(-0.03741898136041918) q[1];
rx(0.2553948032372724) q[2];
rz(0.2997483345010804) q[2];
rx(0.98149266171691) q[3];
rz(0.021241621987064273) q[3];
rx(0.98018860069722) q[4];
rz(-0.03... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
-3,
9,
16,
11,
17.5,
4.5,
14
] | 0.976159 | [
0.13472719791426957,
0.8849967245068193,
0.9797023371778154,
-0.03741898136041918,
0.2553948032372724,
0.2997483345010804,
0.98149266171691,
0.021241621987064273,
0.98018860069722,
-0.037920716797769566,
0.9975135743893738,
-0.1428992541318086,
0.34355392559505205,
0.18303063785957543,
1... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 8 |
2398b0b8852b758caa629303970b584b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -3.562104257885128, "params": [[[0.8062, 0.0021000000000000003], [0.7989, -0.0031000000000000003], [-0.0053, -0.0012000000000000001], [0.1331, -0.3588], [0.5748, 0.8042], [0.801, -0.2278]], [[0.8118000000000001, -0.0047], [0.7994, 0.0033], [-0.013000000000000001, 0.002900000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 15 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | 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",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
f576c10acf9721a494b98bd9a9046b76 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1535, 511], "expectation_value": -0.6584388265734769, "params": [[-0.0574], [0.0722]], "bitstrings": ["01000000000", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0006742397849638703, 0.0006748984346352742], "optimization_time": 1.8455333709716797} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.... | 5 | 11 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.017785092102325838) q[0];
ry(-1.3274370854165811) q[1];
ry(-0.062306889867908825) q[2];
ry(0.0016252313336186722) q[3];
ry(-0.015079250253288913) q[4];
ry(-0.05420065445922713) q[5];
ry(0.008930246742059719) q[6];
ry(0.006836847225779839) q[7];
ry(-0.0453554032014... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5], q[4];
rz(x1) q[4]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
0.5,
-1.5,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971385 | [
0.017785092102325838,
-1.3274370854165811,
-0.062306889867908825,
0.0016252313336186722,
-0.015079250253288913,
-0.05420065445922713,
0.008930246742059719,
0.006836847225779839,
-0.045355403201414304,
-3.125696111244288,
-0.019676666337256128,
0.015032946944220277,
3.0726672684297385,
-0.0... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 167 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [211, 122], "expectation_value": -11.103764917654065, "params": [[-0.0393, 0.0195, 0.0235], [0.062, 0.0088, -0.013600000000000001]], "bitstrings": ["00101100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006939951548853026, 0.007884048840332218], "optimization_time": 7.358407258987427} | 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(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 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) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"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,
17,
11,
12,
20,
12.5,
4,
17.5,
5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
852ccf0794b3880e0079d109054483d5 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [3583, 3327], "expectation_value": -27.694467792260504, "params": [[[-0.0025, 2.7049000000000003], [0.002, 0.0024000000000000002], [1.6642000000000001, 0.0024000000000000002], [1.6636000000000002, -0.0029000000000000002], [-0.0025, 0.0024000000000000002], [-0.0031000000000000003, -0.0029000000000000002], [-0... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.5 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2.5 * (Z(10) @ Z(8)) + 1.... | 15 | 12 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["001100000000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.05116822772605006) q[0];
ry(0.22692112135967413) q[1];
ry(2.1619518935579185) q[2];
ry(2.097311647001228) q[3];
ry(0.05116822772605006) q[4];
ry(0.0008147006996925606) q[5];
ry(-0.15227181959427374) q[6];
ry(0.15527465912554783) q[7];
ry(-0.010434439499239646) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIII... | [
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
0.5,
-2,
-2.5,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.972638 | [
0.05116822772605006,
0.22692112135967413,
2.1619518935579185,
2.097311647001228,
0.0008147006996925606,
-0.15227181959427374,
0.15527465912554783,
-0.010434439499239646,
0.06276522710457647,
0.0030487657414653216,
3.1816431673330015,
-0.03965879878321092,
-0.025188716851727508,
-0.05010998... | {
"n_parameters": 17,
"n_qubits": 12,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 21 |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [47, 63], "expectation_value": -2.8540203722133364, "params": null, "bitstrings": ["1010000", "1000000"], "total_optimization_steps": 37, "probabilities": [0.2088511956890643, 0.2100965666861345], "optimization_time": 31.577638864517212} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.006599739930172845) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.006599739930172845) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.006599739930172845) q[2];
cx q[3], q[2];
rz(0.006599739930173154) q[2];
rx(1.52576029632... | 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];\ncry(-1.5486) q[6], 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... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IIIZZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
-0.5,
0.25,
-0.25
] | 0.896155 | [
0.006599739930172845,
-0.059218668570738146,
0.782628674871177,
-1.5687868123923565,
-1.565222460442388,
-1.5704982977894495,
1.5257602963225112
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 198 |
9b4be5d748a292e481722f1ef8f75020 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [14, 10], "expectation_value": -5.341599362562094, "params": [0.0048000000000000004, 0.43510000000000004, 0.0013000000000000002, 0.46900000000000003, 0.0032, 0.4338, 0.0012000000000000001, 0.4451, 0.5997, 0.0917, 0.3801, 0.2112, 0.5873, 0.1945, 0.3688, 0.1831, -0.0012000000000000001, 0.4698, 0.002, 0.4636, 0... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14463547101575489) q[0];
rz(-0.9013886526061183) q[0];
rx(0.14200284685399922) q[1];
rz(0.6212693590588447) q[1];
rx(-0.14471618748001755) q[2];
rz(0.4407728646085142) q[2];
rx(-0.14471618748001755) q[3];
rz(-0.9525842351766118) q[3];
rx(1.8131142699027647) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZII... | [
-0.5,
-0.5,
0.4,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
1,
-0.2,
2,
-1.7000000000000002,
-1.7000000000000002,
1.5,
3,
1.5,
-0.6000000000000001,
-0.30000000000000004
] | 0.972151 | [
0.1446354710157549,
-0.737814615895959,
0.14200284685399922,
0.6212693590588447,
-0.14471618748001755,
0.4407728646085142,
-0.9525842351766118,
1.8131142699027647,
0.16895032385674386,
0.13369873663334575,
0.20067474335624766,
1.5954489610039433,
0.23189398635567227,
0.7353956036851526,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -6.6000000000000005,
"target_ratio": 0.97,
"target_value": -6.402
} | 16 |
8769543212779647933 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 3, 7], [8, 2, 3], [2, 4, 7], [0, 1, 4], [8, 9, 7], [0, 2], [1, 7], [3, 4], [3, 5], [8, 0, 7], [8, 1, 5], [1, 2, 5], [0, 5, 6], [9, 1], [1, 5, 6], [8, 9, 4, 5], [0, 8, 5]]} | {"states": [190, 191], "expectation_value": -4.400069154832614, "params": [0.6241, -0.2525, 0.47900000000000004, 0.0063, 0.9247000000000001, -0.2953, 0.6759000000000001, 0.006200000000000001, 1.3019, 0.11560000000000001, 1.2938, 0.003, 0.3418, -0.0251, 0.0907, 0.0019, 1.3029000000000002, 0.1338, 1.2956, 0.0056, 1.30110... | 0.3333333333333333 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.166666666... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["1101000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.07946470755583594) q[0];
rz(1.4922484973153338) q[0];
rx(0.14200601672387994) q[1];
rz(1.4251039002188026) q[1];
rx(1.5575994982106467) q[2];
rz(1.7191512459094902) q[2];
rx(0.030282462302538435) q[3];
rz(1.5471746264147956) q[3];
rx(1.746831583669467) 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": []} | [
"IZIIIIZIII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIIIIIZZII",
"IZIIIIIZII",
"IIZIIIIZII",
"IIIIIZZIII",
"IZIIIZIIII",
"IIZIIZIIII",
"IIIIIZIZII",
"IZIIIIIIIZ",
"IIZIIIIIIZ",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IZIIIIIIZI",
"IIZIIIIIZI",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIIIIIZZ",
"ZZIIIIIIII"... | [
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.166666666666... | 0.972864 | [
-0.07946470755583593,
-0.07854782947956182,
0.14200601672387994,
-0.14569242657609396,
1.5575994982106465,
0.14835491911459328,
0.030282462302538435,
-0.023621700380100558,
1.746831583669467,
0.036223291192116605,
1.5015771809428102,
-0.1525588724143648,
1.7758243354329133,
-0.301615270297... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -5.166666666666667,
"target_ratio": 0.97,
"target_value": -5.011666666666667
} | 50 |
23ed60bc96758366e843c21e3bc9a3e0 | 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": 0, "target": 7}, {"source": 1, "ta... | {"states": [14, 7], "expectation_value": -11.990206131956436, "params": [[0.0392, 0.0129, -0.013800000000000002, -0.0719], [-0.046, -0.053000000000000005, -0.044000000000000004, 0.019200000000000002]], "bitstrings": ["11110001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.00813836284159508, 0.00893... | 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)) + 3.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | 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,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
-5401784996309083631 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 3, 6], [1, 2, 6], [4, 6], [1, 5], [0, 2, 3], [2, 4], [3, 5]]} | {"states": [121, 57], "expectation_value": -2.403387194077233, "params": [[[1.4897, 0.005200000000000001], [2.6997, 0.0055000000000000005], [2.6965000000000003, 0.0071], [2.7009000000000003, 0.0036000000000000003], [0.4817, 0.0092], [0.46840000000000004, 0.0023], [2.6975000000000002, 0.0081]]], "bitstrings": ["0000110"... | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.1726447191770152) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(-0.8871180643529339) q[0];
cx q[3], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.1726447191770152) q[6];
cx q[4], q[6];
cx q[3], q[6];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIIZIIZ",
"ZIZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIZII",
"IIIZZII",
"IIIIZIZ",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"IZIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0.33333333333333326,
0.3333333333333333,
0.33333333333333326,
0.16666666666666663,
0.... | 0.509787 | [
-0.1726447191770152,
-0.8871180643529339,
-0.09428747066629924,
1.489449176934493,
1.2740027362684456
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 186 |
f83a24061b1538365ea5863841ae1bf9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [498, 242], "expectation_value": -62.35721258693146, "params": [1.5152, 0.0041, 3.0967000000000002, 0.0025, 3.0887000000000002, 0.0097, 3.0947, 0.0066, 3.0926, 0.0023, 0.0029000000000000002, 0.006200000000000001, 0.7261000000000001, 0.0047, 3.0961000000000003, 0.0029000000000000002, 1.4528, 0.007500000000000... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04871646612516628) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.04871646612516628) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.04871646612516628) q[1];
cx q[0], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.04871646612516628) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIZIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
10.5,
10,
17.5,
-2.5,
3,
15.5,
8.5
] | 0.970674 | [
0.04871646612516628,
-1.8688513198462988,
0.7685111574059985,
-0.8440976668675935,
-1.792414361819576,
-0.8909371382579828,
1.275892672462125,
1.3454998306546064,
-0.9336965764881793,
0.722699565597045,
1.0788790798445864,
-0.003455671583784653,
0.2680719975684451,
1.0517416217444742,
-1... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 72 |
b2ad92d1453e889b732cbfcfd082cd41 | 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": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [11, 27], "expectation_value": -2.5079710815162595, "params": [-0.0071, 0.4146, 0.17320000000000002, 0.4414, 0.1781, -0.2997, 0.7991, -0.1102, 0.8101, -0.0039000000000000003, 0.6957, -0.049600000000000005, 0.8058000000000001, 0.0025, 0.8025, -0.0036000000000000003, -0.013600000000000001, 0.0066, 0.1689, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(7) + 0.0 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) | 3 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000110", "01110001", "10001110", "11100100", "11110000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07331643645102212) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07331643645102212) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07331643645102212) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.07331643645102212) q[3];
cx q[0], 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-0.5,
0,
0,
-0.5,
-0.5
] | 0.956272 | [
0.07331643645102212,
1.3672231817191602,
-1.5677865044421424,
-1.6506634873926307,
-1.5934745094891105,
1.5118818624675805,
-1.7812763995064638,
1.3284599912179063,
1.1535493641022598,
-0.3699990203531776,
-0.6428687851956907,
-0.1084779865352908,
0.6312678235710382,
-0.49023685973430714,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 500 |
5034de4a0b71e78f13f19fc0d8322dd3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [252, 220], "expectation_value": -62.35513573402369, "params": [0.9710000000000001, 0.0041, 2.7974, 0.0083, 2.8057000000000003, 0.0005, 1.4743000000000002, 0.0035, 2.8003, 0.0099, 2.801, 0.009000000000000001, 2.8006, 0.0099, 0.0019, 0.0011, -0.0026000000000000003, 0.0023, 0.006900000000000001, 0.000600000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(6) @ Z(7)) + 3.5 * Z(0) + 7.5 * Z(1) + 19.5 * Z(5) + 14.0 * Z(4) + 20.5 * Z(2) + 9.5 * Z(3) + -3.0 * Z(7) + 1.5 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.13066071896283524) q[0];
rz(0.04194202396325952) q[0];
rx(1.7530774312509991) q[1];
rz(0.11556291295250098) q[1];
rx(1.7404641973619417) q[2];
rz(-0.19354189687079282) q[2];
rx(0.06821627595693139) q[3];
rz(-0.10829629046060886) q[3];
rx(1.503619586110241) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZZIIII",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIIZIZII",
"IIIZIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
3.5,
7.5,
19.5,
14,
20.5,
9.5,
-3,
1.5,
-10.5
] | 0.980289 | [
0.1306607189628352,
0.4522504693072946,
1.7530774312509991,
0.11556291295250098,
1.7404641973619417,
-0.19354189687079282,
0.06821627595693139,
-0.10829629046060886,
1.503619586110241,
-0.044189031201364096,
1.6276641529756128,
0.1207458487555029,
1.6206957065057863,
0.34811946887236667,
... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 9 |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [7, 14], "expectation_value": -0.4901224195043495, "params": [[-0.058, -0.0661, -0.0673, -0.085], [0.061700000000000005, 0.07, 0.06520000000000001, 0.0736]], "bitstrings": ["11000", "10001"], "total_optimization_steps": 10, "probabilities": [0.051945094530619414, 0.05405848383787481], "optimization_time": 3.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZIIZ",
"IIIZZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-0.5,
0
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -9.997698225338024, "params": null, "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 100, "probabilities": [0.23962467434214155, 0.7582847298238203], "optimization_time": 303.88262391090393} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 3 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5708) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 3], "expectation_value": -6.706001548138886, "params": [[0.061500000000000006, 0.0437, -0.0436], [-0.062400000000000004, -0.06330000000000001, -0.0194]], "bitstrings": ["110101", "111100"], "total_optimization_steps": 10, "probabilities": [0.03131528239335989, 0.03415768652545595], "optimization_time": ... | 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 ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
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,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [0, 8], "expectation_value": -8.702675386505103, "params": [[[0.40640000000000004, -0.0029000000000000002], [0.0014, -0.3103], [0.0023, 0.3055], [0.1015, 0.1888]], [[0.4062, -0.0023], [0.0056, -0.30760000000000004], [0.0034000000000000002, 0.307], [0.1024, 0.1887]], [[0.39990000000000003, -0.0018000000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 3], "expectation_value": -7.628967715666368, "params": [[0.0584, 0.0396, -0.022600000000000002, 0.0162], [-0.061000000000000006, -0.0618, -0.0217, -0.0251]], "bitstrings": ["110101", "111100"], "total_optimization_steps": 10, "probabilities": [0.03423273469840524, 0.03768775849909098], "optimization_tim... | 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 ... | 11 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
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,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [245, 238], "expectation_value": -1.124026995829616, "params": [[0.0364, 0.06720000000000001, 0.0634], [-0.015600000000000001, -0.0505, -0.048600000000000004]], "bitstrings": ["100001010", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0032724012750954606, 0.0032724220072093057], "optimiza... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.322389483957614e-09) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-2.322389483957614e-09) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
1.5,
1,
1,
1.5,
1,
1.25,
1,
1.25,
1.5
] | 0.714286 | [
-2.322389483957614e-9,
4.1451823289962644e-8,
1.57079638027508,
-1.5711130946503415,
1.570796330588283,
-1.5707963417037913
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 230 |
6305436220636956313 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6], [1, 2, 3, 4, 5, 7], [0, 1, 3, 4, 5, 7], [0, 2, 3, 4], [0, 1, 2, 3, 5, 6], [0, 1, 2, 5, 6, 7], [2, 4, 6]]} | {"states": [173, 236], "expectation_value": -0.6397649927043242, "params": [[-0.2736], [0.2793]], "bitstrings": ["01010010", "00010011"], "total_optimization_steps": 30, "probabilities": [0.0068462081289553025, 0.00699074269242729], "optimization_time": 2.4403486251831055} | 0.2333333333333333 * (Z(4) @ Z(5)) + 0.2333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(1) @ Z(5)) + 0.06666666666666667 * (Z(1) @ Z(4)) + 0.06666666666666667 * (Z(1) @ Z(6)) + 0.1 * (Z(2) @ Z(5)) + 0.2833333333333333 * (Z(2) @ Z(4)) + 0.23333333333333334 * (Z(2) @ Z(6)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7166666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6833333333333336, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 6.9999999999999964} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(-4.233469348959623e-08) q[4];
cx q[5], q[4];
h q[6];
cx q[5], q[6];
rz(-4.233469348959623e-08) q[6];
cx q[5], q[6];
cx q[4], q[6];
cx q[5], q[1];
rz(-1.4956765051833105e-07) q[1];
cx q[5], q[1];
cx q[5], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"IIZIIIZI",
"IIIZIIZI",
"IZIIIIZI",
"IIZIIZII",
"IIIZIZII",
"IZIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIIZZIII",
"IZIIZIII",
"IIIIZIZI",
"IIIIZZII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"IIZIIIIZ",
"IIIZIII... | [
0.2333333333333333,
0.2333333333333333,
0.3333333333333333,
0.13333333333333333,
0.06666666666666667,
0.06666666666666667,
0.1,
0.2833333333333333,
0.23333333333333334,
0.1,
0.1,
0.15,
0.03333333333333333,
0.1,
0.15,
0.1,
0.06666666666666667,
0.03333333333333333,
0.1,
0.0666666... | 0.909233 | [
-4.233469348959623e-8,
1.0121968822401317,
-1.4956765051833105e-7,
2.584285440325874e-8,
5.464601398559817e-8,
9.659970169774209e-8,
-2.8133986331945768e-8,
1.8623252063125e-8,
3.792551381606265e-8,
-1.57079632506819,
1.5707963812990156,
-1.5707962235759445,
-1.570796642836874,
-1.57079608... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -1.7166666666666663,
"target_ratio": 0.97,
"target_value": -1.6651666666666662
} | 295 |
8246475800049591697 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 6, 7], [1, 2, 4, 5, 6, 7], [2, 3, 4, 6, 7], [0, 2, 4, 5, 6, 7]]} | {"states": [203, 227], "expectation_value": -0.020731046779433167, "params": [[-0.07930000000000001], [0.0748]], "bitstrings": ["00110100", "00011100"], "total_optimization_steps": 10, "probabilities": [0.003999572492370189, 0.00399957249237019], "optimization_time": 1.0039002895355225} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(5) @ Z(1)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(1)) + 0.06666666666666667 * (Z(6) @ Z(0)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.8, "smallest_bitstrings": ["00110100", "00011100", "00000011", "11100000", "00000101", "00000110"], "la... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.015227297092941983) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.015227297092941983) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.015227297092941983) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.042132655417694... | 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIZIIZI",
"IIIZIII... | [
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.08333333333333334,
0.1,
0.06666666666666667,
0.06666666666666667,
0.08333333333333334,
0.1,
0.15,
0.0333333333333333... | 0.974414 | [
-0.015227297092941983,
-0.04213265541769485,
-0.1770014833396133,
-0.3257963072373713,
-0.15564106267319577,
0.08472992219307565,
0.02054143449522111,
-1.710900014841879,
-1.7901128936895527,
-1.6115668344818728,
1.405891731369307,
-1.578666436095856,
1.615061893492496
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -0.8000000000000003,
"target_ratio": 0.97,
"target_value": -0.7760000000000002
} | 96 |
6ddf684edf2e62eb9b719095ef1378fa | connected_components | 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": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 5, "target": 6}]} | {"states": [60, 63], "expectation_value": -0.4697186532001511, "params": [[-0.0635], [0.076]], "bitstrings": ["000011", "000000"], "total_optimization_steps": 10, "probabilities": [0.01968593968834458, 0.019685939688344582], "optimization_time": 1.136186122894287} | -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(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -1.0 * Z(5) + 1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["000011", "000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(2.5125262706056377) q[0];
rz(pi/2) q[0];
ry(-0.0684384930951604) q[1];
ry(-0.6242145855847325) q[2];
ry(0.023386560122141898) q[3];
ry(-0.10544545841139641) q[4];
ry(-0.020724178357861903) q[5];
cx q[5], q[0];
ry(1.5844581120785501) q[0];
cx q[5], q[0];
ry(-1.5844581... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[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... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIIZZ",
"IIZIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
1
] | 0.981413 | [
2.5125262706056377,
-0.0684384930951604,
-0.6242145855847325,
0.023386560122141898,
-0.10544545841139641,
-0.020724178357861903,
-3.1689162241571003,
-3.498896468259441,
-2.2214113599118592,
0.2040630435724707,
1.6514361455783408,
-1.0547043507067209,
0.4456416672039778,
0.0976392604007565... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 44 |
0541faf635a6399f550a5b5935bfa17a | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [765, 733], "expectation_value": -0.6598436788612856, "params": [1.0736, 0.3552, 0.49300000000000005, 0.3768, 1.0821, 0.3256, 1.1038000000000001, -0.2157, 0.7979, -0.23090000000000002, 1.0821, -0.1826, 0.8952, 0.1904, 1.1045, 0.3955, 0.48550000000000004, 0.369, 1.0781, 0.3234, 1.0613000000000001, 0.0046, 0.4... | 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(... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"], "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(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZZZIIIIII",
"IIIIIIZIZI"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.2... | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
0fcc1a24f94fd2a8b4a107178db6be3d | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [38, 7], "expectation_value": -4.4890656587991264, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 33, "probabilities": [0.06023624493080601, 0.8645378003106239], "optimization_time": 32.34974408149719} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011001", "0111010", "1111000", "0011011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003329952575220962) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.003329952575220962) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.003329952575220962) q[5];
cx q[0], q[5];
rz(0.2271403800727576) q[0];
rx(-1.5668... | 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[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",
"IZIIIIZ",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIIZIII",
"IIZIZII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
-1.5,
-1,
-0.5
] | 0.821768 | [
0.003329952575220962,
-1.5708316330529057,
0.2271403800727576,
-0.07902505467877949,
-1.5668304537158142,
1.5736423638586798,
-0.03548527954890518,
-1.5747194547938785,
-3.1472492563193653,
-0.4467237359589419
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 390 |
-7592907852367266095 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 7], [0, 3], [4, 5], [4, 7], [1, 3], [0, 7], [0, 5], [1, 5], [2, 4], [2, 6], [2, 3], [4, 6], [3, 4]]} | {"states": [202, 23], "expectation_value": -3.7758143568464178, "params": null, "bitstrings": ["00110101", "11101000"], "total_optimization_steps": 62, "probabilities": [0.16643346926063854, 0.5877068410787979], "optimization_time": 103.61520648002625} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00010111", "11101000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.5266310919584748) q[0];
cx q[4], q[0];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-0.5266310919584748) q[7];
cx q[4], q[7];
cx q[0], q[7];
cx q[4], q[3];
rz(-0.5266310919584748) q[3];
cx q[4], q[3];
cx q[4], 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[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] = me... | [
"IIIZIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIIZIZII",
"IIIIZZII",
"IZIZIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
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
] | 0.38134 | [
-0.5266310919584748,
4.8933598273202355e-8,
0.6800196854615808
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [413, 427], "expectation_value": -0.26394300068748633, "params": [[0.07250000000000001], [-0.08080000000000001]], "bitstrings": ["001100010", "001010100"], "total_optimization_steps": 10, "probabilities": [0.002266587328284175, 0.002266587328284176], "optimization_time": 5.715635299682617} | 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 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001100010", "010010001", "001001100", "100100010", "100010001", "001001010", "001010100", "100001010", "100100001", "010001100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
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,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
4e2f70adf965c859c016ba7845e205dc | 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": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [511, 447], "expectation_value": -10.844462017974404, "params": [[[-0.006900000000000001, 0.7491], [-0.0007, 0.004], [0.003, 0.0019], [1.0350000000000001, -0.0024000000000000002], [0.0017000000000000001, 0.0023], [0.0021000000000000003, 0.0023], [0.0026000000000000003, 0.0028], [0.0034000000000000002, -0.003... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 15 | 10 | 4 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["1001000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.08209464428895492) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-8.395320764917761e-05) q[2];
cx q[3], q[2];
rz(1.5705642878294785) q[3];
rx(1.573842448868029) q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(-8.39532076491... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIZIIIIIZI",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIZIIIII",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
1.5,
-0.75,
-0.75,
-1.5,
-0.75,
-0.25,
-0.25,
-1.25,
-0.25,
0,
-1,
0,
-0.5,
1,
1.25,
0,
0.75
] | 0.839412 | [
-0.08209464428895492,
-0.00008395320764917761,
0.06986880025343446,
0.0030399335915787078,
0.00008626210937084866,
1.5705642878294783,
-1.5708101769120453,
-1.5708432019674272,
-1.5707543359281622,
-1.5707900060150517,
-1.5708295827358247,
1.5738424488680292
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 313 |
e3b5b65f220c2e22b6113c0ce5b41d18 | 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": 1, "target": 6}, ... | {"states": [10, 25], "expectation_value": -1.1353341356052347, "params": [[0.0679, 0.0601, 0.0632, 0.0024000000000000002], [-0.0698, -0.0536, -0.0635, -0.035500000000000004]], "bitstrings": ["1110101", "1100110"], "total_optimization_steps": 10, "probabilities": [0.012855519843350559, 0.016323645199358368], "optimizati... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.1033879633206671) q[0];
rz(-0.9629670532463934) q[0];
ry(0.12130667618116564) q[1];
rz(-0.14732188293475723) q[1];
cx q[1], q[0];
ry(0.23820138937740232) q[1];
rz(-0.08912627764861455) q[1];
ry(1.5243593221404945) q[2];
rz(-0.0456941919923618) q[2];
ry(1.64161235... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIZI",
"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,
0.5,
-1,
-1,
-1,
-1,
-1,
-1,
-0.5
] | 0.970868 | [
-0.1033879633206671,
-0.9629670532463934,
0.12130667618116564,
-0.14732188293475723,
1.5243593221404945,
-0.0456941919923618,
1.6416123565303,
-0.25777425618806893,
1.8502362601976539,
-0.7218816997342433,
0.11498762200635869,
0.7335962820146844,
1.5124955991481397,
0.05406892335478905,
... | {
"n_parameters": 35,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 51 |
-6332755779047497654 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [0, 2, 3, 5], [1, 6], [2, 3, 5, 6], [1, 2, 5], [2, 5, 7], [0, 3, 5, 6, 7]]} | {"states": [228, 166], "expectation_value": -2.28615736548989, "params": null, "bitstrings": ["00011011", "01011001"], "total_optimization_steps": 42, "probabilities": [0.055328558751787646, 0.8446904970002377], "optimization_time": 67.54425954818726} | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.05 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666676], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["01011001"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.399927048470354) q[0];
rz(1.6938552143089778) q[0];
rx(-0.20883416400539578) q[1];
rz(1.5302516138181232) q[1];
rx(2.068064459557101) q[2];
rz(1.4287829354896093) q[2];
rx(0.22019162768356906) q[3];
rz(1.8325211401617638) q[3];
rx(0.5968488529673486) q[4];
rz(1.544... | 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(1.5344) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.5,
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.05,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.5,
0.05,
0.16666666666666666,
0.05,
0.2166666666666666... | 0.971208 | [
1.399927048470354,
0.12305888751408117,
-0.2088341640053958,
-0.04054471297677453,
2.0680644595571014,
-0.14201339130528684,
0.22019162768356904,
0.2617248133668674,
0.5968488529673486,
-0.02613512039096395,
2.282530273916319,
0.10022424175219512,
1.4603178465751943,
0.03898107485464061,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -2.3666666666666676,
"target_ratio": 0.97,
"target_value": -2.2956666666666674
} | 68 |
58927404864b316a7a7c3805d96a54c5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [9, 25], "expectation_value": -15.746130817671661, "params": [0.0044, -0.24600000000000002, 0.0045000000000000005, -0.258, 0.0037, -0.23870000000000002, 0.005, -0.20120000000000002, 0.004200000000000001, -0.29250000000000004, 0.0035, -0.2929, 0.005200000000000001, -0.25830000000000003, 0.0047, -0.2606, -0.20... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["111100110", "111100010", "101100010"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08852221454871459) q[0];
rz(1.4850305891108242) q[0];
rx(-0.022460498049271173) q[1];
rz(-1.2119263256872301) q[1];
rx(0.0036018593934876234) q[2];
rz(0.6680531664906) q[2];
rx(0.003601859393487624) q[3];
rz(1.1010038153947903) q[3];
rx(1.1101477110823375) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"... | [
-1,
1.25,
-1.5,
-2.75,
-0.25,
-0.5,
-1.25,
-1.5,
-0.75,
-0.5,
-0.75,
-1,
-0.25,
-1,
-2,
-0.25,
0.75,
-0.5,
-1,
-2.5,
2.25,
-0.25,
3.5
] | 0.972394 | [
-0.0885222145487146,
1.0881884443741296,
-0.022460498049271173,
-0.7092743797278183,
0.0036018593934876234,
1.2418359084736181,
1.1036348045591202,
1.1101477110823375,
0.06106459732284491,
1.3559333559132691,
0.05674914092623268,
0.16301984510572173,
0.7644558023851116,
-0.2009512409085926... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [86, 89], "expectation_value": -0.37772441777175636, "params": [[0.0716, 0.0741, 0.0766], [-0.053500000000000006, -0.0641, -0.0722]], "bitstrings": ["0101001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.014086665100216693, 0.014095456938106172], "optimization_time": 5.8351991176605225} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
d718199120caa09970ec0112edaecdf9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [33, 3], "expectation_value": -17.442608475162828, "params": [[-0.039, -0.0056, -0.0008], [0.06720000000000001, 0.062200000000000005, 0.0637]], "bitstrings": ["1011110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.018703297480754544, 0.02025559806588705], "optimization_time": 5.8484256267... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 10 | 7 | 3 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04015044538224883) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04015044538224883) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.04015044538224883) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04015044538224883) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
-10.25,
-10,
-10.25,
-10,
-10,
-9.25,
-9.25
] | 0.978301 | [
-0.04015044538224883,
-0.15324628777449456,
-1.689169402787427,
-1.6217749557604155,
1.3668630378637412,
-1.508421696431749
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 23 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | qaoa | {"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": [4, 9], "expectation_value": -0.11060195288851203, "params": [[-0.053500000000000006, -0.06860000000000001], [0.055, 0.0712]], "bitstrings": ["1011", "0110"], "total_optimization_steps": 10, "probabilities": [0.0682401605176477, 0.07394060544258721], "optimization_time": 2.1624724864959717} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | 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.... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 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 |
cae836d786de7e539b96f215cbb6de9f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"sour... | {"states": [66, 82], "expectation_value": -6.321956912498129, "params": [0.0463, 0.0471, -0.0086, -0.012700000000000001, 0.30010000000000003, 0.3027, -0.013000000000000001, -0.0207, 0.2987, 0.29510000000000003, 0.07690000000000001, 0.0813, -0.0189, -0.0165, 0.3047, 0.3098, 0.0344, 0.0346, 0.0458, 0.0495, -0.0092, -0.01... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.5, "smallest_bitstrings": ["010111101", "110101011", "111101010", "111010101", "110110101", "110101101"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.04200472820691953) q[0];
rz(pi/2) q[0];
ry(-0.04190387953750277) q[1];
ry(0.5260792336437123) q[2];
ry(-0.038641378895660286) q[3];
ry(0.5264264663246124) q[4];
ry(0.004487440520966612) q[5];
ry(0.13957210227137226) q[6];
ry(0.4132937976619898) q[7];
ry(0.03052168... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"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,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-1.5,
-2,
-2,
-1,
-1,
-1.5
] | 0.979041 | [
-0.04200472820691953,
-0.04190387953750277,
0.5260792336437123,
-0.038641378895660286,
0.5264264663246124,
0.004487440520966612,
0.13957210227137226,
0.4132937976619898,
0.030521689493047507,
-0.10046398170156906,
0.3444505428229983,
0.01838376160891808,
-0.024437503917488973,
0.1430553566... | {
"n_parameters": 104,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 9 |
5948849393156915539 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 11], [2, 3], [4, 6], [10, 6], [4, 5], [0, 7], [2, 5], [10, 3], [3, 4], [11, 3], [8, 5], [9, 7]]} | {"states": [368, 1392], "expectation_value": -1.3837930624442911, "params": [0.4802, -0.1963, 0.47840000000000005, 0.0099, 0.9004000000000001, -0.0115, 0.9027000000000001, 0.001, 0.5203, -0.1774, 0.523, 0.0074, 0.9069, 0.028900000000000002, 0.9065000000000001, -0.1416, 0.5764, 0.11900000000000001, 0.5698, 0.004, 0.9057... | 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.0 * Z(11) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) +... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["001010011011", "010101110000", "101010001111", "110101100100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.15509381706232497) q[0];
rz(1.1815862999918751) q[0];
rx(1.4524390704717416) q[1];
rz(0.15124068802163748) q[1];
cx q[1], q[0];
ry(0.043714206384626836) q[0];
cx q[1], q[0];
ry(-0.19373473180565542) q[0];
rz(-1.3629574214602744) q[0];
rx(1.9204133542651882) 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": []} | [
"ZIIIIIIIIIZI",
"ZIIIIIIIZIII",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIZIZIIII",
"IZIIIIIIZIII",
"IZIIIZIIIIII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIZIIIIIIZ",
"IIIZIIZIIIII",
"IIZIZIIIIIII",
"ZIIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.978577 | [
0.15509381706232497,
-0.3892100268030214,
1.4524390704717416,
0.15124068802163748,
-0.14647506934667118,
-0.5284152482008652,
0.9858113012235998,
0.01736512354415698,
-0.029370635634918575,
0.4963604458286463,
0.5041566048326553,
-0.21372038450792896,
1.8933907108728605,
0.0409427208620749... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 62 |
d0bfe0d447f987bab26261caea144ffd | 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": [293, 357], "expectation_value": -104.6742816531015, "params": [[0.021500000000000002, -0.0776, 0.8087000000000001, 0.1003, 0.3476, 0.5798, -0.0, -0.0151, 0.7803, 0.0047, 0.7823], [-0.0114, -0.030600000000000002, 0.7978000000000001, -0.1373, 0.8993, 0.8901, -0.0095, -0.0908, 0.793, -0.0103, 0.7839], [-0.0092... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 0.5 * Z(1) + 16.0 * Z(2) + 14.0 * Z(5) + -5.0 * Z(0) + 3.0 * Z(3) + 22.0 * Z(... | 10 | 11 | 3 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["11010011010"], "largest_eigenvalue": 144.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.012324186974385528) q[0];
ry(-0.09821600057068584) q[1];
ry(0.7087566442040936) q[2];
ry(0.026703597590039204) q[3];
ry(0.7228211977205649) q[4];
ry(0.7651714970412187) q[5];
ry(-0.09170040006432176) q[6];
ry(-0.13434098166864045) q[7];
ry(0.7346453541000161) 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",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0.5,
16,
14,
-5,
3,
22,
3,
9,
-6,
-4,
1.5
] | 0.976067 | [
-0.012324186974385528,
-0.09821600057068584,
0.7087566442040936,
0.026703597590039204,
0.7228211977205649,
0.7651714970412187,
-0.09170040006432176,
-0.13434098166864045,
0.7346453541000161,
0.01658454644168659,
0.7744943847223926,
-0.1502857274117673,
0.0013063874008741733,
0.623449300334... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -127,
"target_ratio": 0.97,
"target_value": -123.19
} | 15 |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 21], "expectation_value": -2.4964491610978103, "params": null, "bitstrings": ["001011", "101010"], "total_optimization_steps": 22, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 10.52004098892212} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | 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(-1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"ZIIIIZ",
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
e50f1de34172387f4afee29bd6bf3fd2 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 8}, {"capac... | {"states": [9, 1], "expectation_value": -1.4591111081833736, "params": [[-0.0627], [0.061900000000000004]], "bitstrings": ["1111110110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0015585202898689909, 0.0016098632974642128], "optimization_time": 2.4373137950897217} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(8) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(8)) + -1.5 * (Z(6) @ Z(3)) + 2.75 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5, -21.5, -21.5, -21.5, -21.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111110110", "1111111110", "1110010110", "1111010110", "1111011110"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7269700262328697) q[0];
h q[1];
ry(-1.4539400524657393) q[1];
ry(-0.4305188858979242) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.4539400524657393) q[3];
h q[4];
ry(1.5707964173996953) q[4];
h q[5];
h q[6];
h q[7];
ry(-1.4539400524657393) q[7];
h q[8];
ry(-1.453940... | 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIZIIIZIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZIIZIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"IIIIIIIIZI",
"IZIIIIIIII"... | [
-1.5,
-1.25,
-1,
-1,
-2.25,
-1,
-0.75,
-1.5,
-1.25,
-1.5,
-0.25,
-0.75,
-1.5,
2.75,
-0.75,
-2.75,
-0.25,
-2.25,
-2,
0.25,
-1.25,
4.25,
0.5,
1.5,
2
] | 0.949345 | [
1.5707964173996953,
-1.4539400524657393,
1.2574960017910324,
-0.3481317456857022,
-0.49569450145838334,
-9.083595959207332e-8,
0.31330036936235867,
-4.8391802394120934e-8,
-1.5707961503367,
4.270832774798353e-8,
-1.0386805650302741e-7,
-1.0195035332194153e-7,
0.6273252231375337,
-0.7441815... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 499 |
888830106765927976 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [1, 4, 6], [0, 5], [1, 4, 5], [3, 6], [0, 3], [0, 1, 2], [0, 4], [2, 4], [1, 3, 4], [1, 3, 5]]} | {"states": [39, 46], "expectation_value": -2.9120763598932795, "params": null, "bitstrings": ["1011000", "1010001"], "total_optimization_steps": 43, "probabilities": [0.05315195710524625, 0.7946387893512603], "optimization_time": 62.783419609069824} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["1010001"], "largest_eigenvalue": 8.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.12609433051874835) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.1505912558235194) q[5];
cx q[3], q[5];
cx q[2], q[5];
cx q[3], q[1];
rz(-0.1505912558235194) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.1260943... | 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(1.5592) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZZII",
"IZIZIII",
"IZIIZII",
"IIIZIZI",
"IIIIZZI",
"IZIIIZI",
"IIZZIII",
"IIZIZII",
"IZZIIII",
"IIZIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IIIZIIZ",
"IIIIZIZ",
"IZIIIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"III... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0... | 0.555189 | [
0.12609433051874835,
-0.1505912558235194,
-0.6160220057678488,
-1.0488159414092848,
0.866306512412415
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 154 |
b305367bc2e2ddaa066fe8b84210618a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -64.36616340784029, "params": [0.0048000000000000004, 0.5791000000000001, 1.0476, 0.0017000000000000001, 1.0595, -0.014, 0.5409, -0.3166, 1.0536, 0.015000000000000001, 1.0524, -0.0099, 1.129, 0.2359, 0.25780000000000003, 0.5349, 0.0045000000000000005, 0.5632, 1.05340000000000... | 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(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 150.0} | 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[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
1.5,
15.5,
13,
15,
13,
10,
6.5
] | 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 |
-1335673976538917427 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 6], [1, 3, 7], [1, 4], [2, 7]]} | {"states": [31, 118], "expectation_value": -0.5435318548317517, "params": [[-0.372], [0.37]], "bitstrings": ["11100000", "10001001"], "total_optimization_steps": 40, "probabilities": [0.01038433932463884, 0.01038433932463884], "optimization_time": 1.161555528640747} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * Z(5) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.666666666666667, -1.666666666666667, -1.666666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.6666666666666665, "smallest_bitstrings": ["00001101", "00001011", "10001001"], "largest_eigenvalue": 2.999999999999999} | 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[1];
rz(-0.38072173232728446) q[1];
cx q[3], q[1];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.38072173232728446) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(-0.38072173232728446) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.3807217323... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(x0) q[6];
cx... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIZIIZI",
"ZIIIIZII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0.16666666666666663,
0,
0
] | 0.745843 | [
-0.38072173232728446,
-1.416221424832174,
0.33132469248295116,
0.8151120332669319
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -1.666666666666667,
"target_ratio": 0.97,
"target_value": -1.616666666666667
} | 135 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [439, 435], "expectation_value": -3.6545618394036303, "params": [0.7809, 0.0731, 0.8078000000000001, 0.3189, 0.5869, 0.3791, 0.7769, 0.078, 0.8016000000000001, 0.3559, 0.6532, 0.3778, 0.35910000000000003, 0.3784, 0.8704000000000001, 0.109, 0.7632, -0.0171, 0.7795000000000001, 0.0506, 0.5750000000000001, 0.33... | 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 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001100010", "010010001", "001001100", "100100010", "100010001", "001001010", "001010100", "100001010", "100100001", "010001100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
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,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
b6acc179a4a15da3d535b4a626064489 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 61], "expectation_value": -1.1823270247723843, "params": [[-0.0635, -0.062400000000000004], [0.06570000000000001, 0.0621]], "bitstrings": ["1000000", "1000010"], "total_optimization_steps": 10, "probabilities": [0.0137852645739632, 0.014351683812779834], "optimization_time": 2.7150678634643555} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3034667748162365) q[0];
ry(-0.07442258432305349) q[1];
ry(0.0687231461191891) q[2];
ry(-0.05385852511325843) q[3];
ry(0.147646440418712) q[4];
ry(0.147646440418712) q[5];
ry(-0.01142159409353806) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
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": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IIIZIZI",
"IIZZIII",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.5,
-0.5,
-1,
-0.25,
-0.75,
0.75,
-1.25,
-0.5,
-0.25,
-1.25,
-1.5,
-0.75,
-0.25,
1.25,
1,
-0.25,
-2.5,
1.5
] | 0.974572 | [
0.3034667748162365,
-0.07442258432305349,
0.0687231461191891,
-0.05385852511325843,
0.147646440418712,
-0.01142159409353806,
0.07066125296599378,
0.042559931842685965,
-0.013597990498522415,
-0.042688937240018016,
-0.02389108747559633,
-0.016411155865240244,
-0.14788340467558186,
-0.188696... | {
"n_parameters": 49,
"n_qubits": 7,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 39 |
-6663575171690300114 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [0, 2], [3, 4], [2, 6]]} | {"states": [75, 71], "expectation_value": -1.8391930009208826, "params": null, "bitstrings": ["0110100", "0111000"], "total_optimization_steps": 49, "probabilities": [0.050129494132700486, 0.7317076875442983], "optimization_time": 43.27276158332825} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000111", "1101001", "0110100", "0111000", "0010110", "1100101", "0011010", "1001011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.2861933385825084) q[0];
cx q[2], q[0];
rz(4.024502509025751e-09) q[0];
rx(-0.7853981614949748) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(1.2861933385825084) q[3];
cx q[4], q[3];
rz(4.024502509025751e-09) q[3];
rx(-0.785398161494... | 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];\ncry(-1.0342) 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] = measure q[6... | [
"IZIIIZI",
"IIIIZIZ",
"IIZZIII",
"ZIIIZII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.7872 | [
1.2861933385825084,
4.024502449219773e-9,
-0.7853981614949749
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 103 |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [17, 25], "expectation_value": -0.37281248842968406, "params": [1.7109, 0.006200000000000001, 1.6236000000000002, 0.003, 0.9139, 0.0027, 0.9255, 0.0081, 1.6620000000000001, 0.0039000000000000003, 0.008400000000000001, 0.0034000000000000002, 0.006500000000000001, 0.0037, 0.009600000000000001], "bitstrings": [... | 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(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 18 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"ZZIIZ",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
bdc829c24e8c4816616b9f106f37497b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -9.257285935234233, "params": [-0.6374000000000001, 0.0025, 0.6371, 0.0045000000000000005, -0.22760000000000002, 0.0091, 0.2088, 0.0045000000000000005, -0.10260000000000001, 0.33740000000000003, 0.0784, 0.003, 0.7097, 0.0008, 0.7039000000000001, 0.0089, 0.16090000000000002, 0.0... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(8)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(10)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(10)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.6087814899329379) q[0];
rz(1.6177405598275776) q[0];
rx(-0.05922776794442105) q[1];
rz(1.9020743156427073) q[1];
rx(0.045952147571015456) q[2];
rz(1.6334991758311261) q[2];
rx(1.451534771553137) q[3];
rz(1.6701795219130142) q[3];
rx(0.06963410316855964) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IZIIIIIIIIIZ",
"ZIIIIIIIIIIZ",
"ZIIZIIIIIIII",
"IIIIIIIIIZIZ",
"IIIZIIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIZIIZI",
"IIIZIIIIIIZI",
"IZIIIIIIIIZI",
"IIIIIZIIIIZI",
"IZIIIIZIIIII",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IZIIZIIIIIII",
"IIIIZIZII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
2,
-0.25,
-1,
-0.25,
0.25,
-0.5,
-0.5,
1,
0,
-0.25,
0.25,
-0.75,
0,
1.75
] | 0.972934 | [
-0.6087814899329379,
0.04694423303268115,
-0.059227767944421035,
0.3312779888478097,
0.04595214757101547,
0.06270284903622941,
1.4515347715531368,
0.09938319511811775,
0.06963410316855964,
-0.2540340220892363,
-0.005982861608091215,
0.658762797448,
0.5316678477083062,
-0.1404673442776056,
... | {
"n_parameters": 56,
"n_qubits": 12,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 13 |
5bfd79024282ae69c62758a244a2de56 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 7], "expectation_value": -2.2127855701297507, "params": [[-0.0896], [0.082]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.02254377213338131, 0.023009192249583928], "optimization_time": 2.108088493347168} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 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;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | 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",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
9a44f437194a4879d426f5b6a5686299 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.75239077668585, "params": [[[0.9407000000000001, 0.0047], [0.8067000000000001, 0.009000000000000001], [0.9287000000000001, 0.0051], [0.9341, 0.0078000000000000005], [0.807, 0.0041], [1.5944, 0.00030000000000000003], [1.6055000000000001, 0.0037], [1.5992000000000002, 0.0005]]]... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08091434685478957) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08091434685478957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08091434685478957) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08091434685478957) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
-7.25,
-7,
-7,
-7,
-7.25,
-6.25,
-6.5,
-6.25
] | 0.97193 | [
0.08091434685478957,
0.19683262780482505,
-0.5276026023285014,
-0.2585790863730953,
0.6015554638553474,
0.11689174019538448,
-0.45237660767138255,
-0.07816655406896592,
-0.26502704531832566,
-0.8206004991266179,
-0.7539224517840958,
0.3364543138354996,
0.531455957300341,
-0.599578090869826... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 94 |
4ced5db35649043c659d4510a6e5d521 | 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": [221, 205], "expectation_value": -69.84919718601797, "params": [0.20090000000000002, 0.21450000000000002, -0.0097, 0.2783, 0.3836, 0.1252, 0.604, -0.00030000000000000003, 0.6008, 0.12480000000000001, -0.0023, 0.3158, 0.3796, 0.1492, 0.6022000000000001, -0.0002, 0.603, 0.1165, -0.006200000000000001, 0.3267, 0... | 7.5 * (Z(0) @ Z(3)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(1) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(3)) + 7.5 * (Z(10) @ Z(0)) + 15.5 * Z(3) + 0.5 * Z(0) + 5.0 * Z(2) + 9.5 * Z(4) + -3.0 * Z(5) + 9.0 * Z(7) + -3.5 * Z(1) + 5.0 ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-111.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["11100110010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.10019920685597024) q[0];
rz(-0.008456600012026527) q[0];
rx(-0.009045081848379911) q[1];
rz(0.2637672487749179) q[1];
rx(0.08089657919307015) q[2];
rz(-0.06960884158051074) q[2];
rx(0.8128717890890262) q[3];
rz(-0.3190432239986133) q[3];
rx(0.5463896009564362) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
15.5,
0.5,
5,
9.5,
-3,
9,
-3.5,
5,
9.5,
-3.5,
8
] | 0.982281 | [
-0.10019920685597024,
0.0904924220585368,
-0.009045081848379911,
0.2637672487749179,
0.08089657919307015,
-0.06960884158051074,
0.8128717890890262,
-0.3190432239986133,
0.5463896009564362,
-0.04464373945419357,
0.04523660984192131,
0.6104320835999206,
0.22937875768597712,
0.021712510148767... | {
"n_parameters": 125,
"n_qubits": 11,
"optimal_eigenvalue": -111,
"target_ratio": 0.97,
"target_value": -107.67
} | 20 |
abfc65dd279c9be0771666a7af1df613 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.36810805648046, "params": [-0.0015, -0.11850000000000001, -0.0022, -0.1114, 0.0063, -0.1153, -0.0002, -0.15480000000000002, 0.0049, -0.1461, 0.0029000000000000002, -0.1474, 0.0043, -0.1428, 0.0023, -0.1495, 0.0041, -0.1401, 0.0033, -0.1426, 0.0044, -0.1395, 0.0006000000000000... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(8)) + -2.0 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(8)) + -1.25 * (Z(7)... | 5 | 10 | 4 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1260106905375708) q[0];
rz(1.2269505887297782) q[0];
rx(-0.032781407794859226) q[1];
rz(1.4555254797270045) q[1];
rx(0.09002791400272736) q[2];
rz(1.7416567657170106) q[2];
rx(0.09002791400272736) q[3];
rz(1.562394217848576) q[3];
rx(-0.05076418060284001) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IIIZIIZIII",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IZIIIIIZII",
"IIIZIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZZIIIIII",
"IIZIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IZIIZIIIII"... | [
-1,
-1,
-0.25,
-0.75,
-0.75,
-0.75,
-2,
-0.75,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
2.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-2.25,
-0.25,
-0.25,
-1.5,
-2.25,
0,
1.5,
1.75,
2,
1.25
] | 0.97766 | [
0.12601069053757077,
-0.343845738065118,
-0.032781407794859226,
-0.11527084706789281,
0.09002791400272736,
0.17086043892211386,
-0.00840210894632093,
-0.05076418060284002,
-0.050512163613706695,
-0.10793377348105372,
-0.45013316931256986,
-0.1058275480754595,
-0.1358604643187617,
0.0609342... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
23c6590e387f05fe94993d0724eddf92 | 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": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "ta... | {"states": [220, 204], "expectation_value": -2.7420726805443296, "params": [0.5276000000000001, -0.0373, 0.602, 0.0018000000000000002, 0.49970000000000003, -0.0179, 0.5212, 0.047900000000000005, 0.5598000000000001, 0.003, 0.603, 0.0033, 0.0001, 0.3755, -0.0207, -0.30810000000000004, 0.5309, -0.035500000000000004, 0.603... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(7) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(4) + -0.5 * Z(5) | 3 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001011", "00110101", "00110011", "10100011", "00011011"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.14501455624980522) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.14501455624980522) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.14501455624980522) q[2];
cx q[0], q[2];
rz(1.0344845210050462) q[0];
rx(0.21505856718922917) 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": []} | [
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIIIZII",
"IZIIZIII",
"IZIIIZII",
"IIIZIZII",
"ZIZIIIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
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,
-1,
-1,
0,
-0.5
] | 0.979007 | [
0.14501455624980522,
-1.1901499906840702,
1.034484521005045,
-1.1814458861271198,
-1.3843402858965694,
0.3911871449489383,
-0.9634332922169215,
-0.06329978252250862,
-1.6711687726871434,
0.7920633333394742,
0.21505856718922908,
-0.15099145941507233,
-0.33983126580977296,
0.6487549786021121... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 65 |
2df93713dba52fbc8f2926f6b2fd57be | 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": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [29, 31], "expectation_value": -5.8546769839357795, "params": null, "bitstrings": ["11100010", "11100000"], "total_optimization_steps": 40, "probabilities": [0.41767691116306144, 0.419333279531861], "optimization_time": 35.42038083076477} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100010", "11100000", "11100110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIIZIII",
"ZIIZIIII",
"IIZZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
0,
1,
0.75,
0.25,
0
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
36d9a5cf3521b49d4476ce715d8c0ad7 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [23, 5], "expectation_value": -0.7626798512947182, "params": [[0.06420000000000001], [-0.0594]], "bitstrings": ["101000", "111010"], "total_optimization_steps": 10, "probabilities": [0.020664229682222687, 0.02100910823934454], "optimization_time": 1.4189369678497314} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6292887025535705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04618041281989933) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.007673726159640182) q[2];
cx q[0], q[2];
rz(-0.6083754899099731) q[2];
rx(-1.404979792842081) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-0.75,
-1.25,
-2.5,
-1.25,
-0.5,
3,
-0.75,
-0.75,
-1.5,
0.25,
-0.25,
-2,
-0.5,
1,
1.5
] | 0.970099 | [
-0.6292887025535705,
0.04618041281989933,
-0.007673726159640182,
0.0014916916360776782,
-0.46060734627126926,
0.3239788305077106,
0.01849303280472035,
-0.5146328598809707,
-0.6083754899099729,
0.8594047236079715,
0.5729854675707052,
-1.404979792842081,
-0.3213977582439117,
0.02464735125219... | {
"n_parameters": 36,
"n_qubits": 6,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 216 |
71484c647e22c5f994bcf8c31a14b220 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [17, 19], "expectation_value": -4.986418389707064, "params": [0.0022, -0.18510000000000001, -0.0015, -0.186, 0.166, -0.0541, 0.1718, -0.0606, 0.15180000000000002, 0.038, 0.14750000000000002, 0.0393, 0.2984, 0.0038, 0.3009, 0.0008, -0.0022, 0.1738, 0.0024000000000000002, 0.1884, 0.0051, 0.17800000000000002, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 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(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["10001111", "10101110", "11101100", "11001101"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.011283481139266137) q[0];
rz(1.8826267914490584) q[0];
rx(0.9513217446928515) q[1];
rz(1.4370927009485) q[1];
rx(0.7035759414347609) q[2];
rz(1.5215893449459994) q[2];
rx(1.5200643557677227) q[3];
rz(1.5679738609995582) q[3];
rx(-0.1777930261984752) q[4];
rz(1.1761... | 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": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIZII",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIZIIZI",
"IIZIIIZI",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
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,
-2,
-0.5,
-1.5,
-2,
-1,
-1,
-1
] | 0.970263 | [
0.011283481139266138,
0.31183046465416187,
0.9513217446928515,
-0.13370362584639667,
0.703575941434761,
-0.0492069818488966,
1.520064355767723,
-0.0028224657953385135,
-0.17779302619847517,
-0.3946141137452574,
0.22472478750677127,
0.35807542301392026,
0.4128986976303328,
0.206642289052353... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 12 |
eb37df157f972d0ca6ce6f2978928048 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [36, 5], "expectation_value": -3.5782610622400384, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 19, "probabilities": [0.13580601683014493, 0.8593843333407868], "optimization_time": 11.294845581054688} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx q[5], ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[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... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
05d141b5ffa8b0efeb584dec24db300e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [127, 126], "expectation_value": -2.3793668880387235, "params": [[-0.0737], [0.06860000000000001]], "bitstrings": ["0000000", "0000001"], "total_optimization_steps": 10, "probabilities": [0.014293170911999144, 0.014583897213863214], "optimization_time": 2.091111660003662} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + 0.... | 5 | 7 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.6175168991613681) q[0];
h q[1];
ry(0.6175168991613681) q[1];
h q[2];
ry(0.7170279672910043) q[2];
h q[3];
ry(1.2718411954079134) q[3];
h q[4];
ry(-0.008350424287314147) q[4];
h q[5];
cx q[5], q[0];
ry(-0.6175168991613681) q[0];
cx q[5], q[0];
cx q[0], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-2.5,
0.5,
-3,
0.5,
-3,
-2.5,
0.5,
-3,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.964971 | [
1.2350337983227362,
1.4340559345820085,
-0.016700848574628294,
3.2736901355508197,
-0.4354060914000313,
-1.4636202949221844,
1.718382336781574,
-0.11266460713756996,
1.4688016071875138,
-1.6053541257003932,
2.543682390815827,
-0.014658287014737606,
0.02751445716956589,
0.012138707165498029... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 500 |
7fd8a70c3a69e2479ad7cfee26a5ce21 | 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": [730, 722], "expectation_value": -86.6128990313477, "params": [1.0781, 0.0097, 2.7064, 0.0056, 0.0031000000000000003, 0.0048000000000000004, 2.6992000000000003, 0.0051, 2.701, 0.0086, -0.0029000000000000002, 0.0032, 2.7048, 0.0043, 1.4834, 0.0019, -0.0028, 0.0097, 2.6991, 0.002, 0.7214, 0.0078000000000000005... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + 4.5 * Z(0) + 15.5 * Z(1) + 15.5 * Z(3) + -4.0 * Z(2) + 5.5 * Z(4) + -4.5 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-113.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["10100101101"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.4234278647353431) q[0];
rz(1.3258943175419295) q[0];
rx(0.7174082013219535) q[1];
rz(1.631672717239816) q[1];
rx(0.4700580212247658) q[2];
rz(1.17020894387713) q[2];
rx(0.9393084997330876) q[3];
rz(1.4550448839810768) q[3];
rx(1.0783475488623282) q[4];
rz(1.541750... | 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, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
4.5,
15.5,
15.5,
-4,
5.5,
-4.5,
11,
8.5,
6.5,
-3.5,
2
] | 0.974169 | [
0.4234278647353431,
-0.2449020092529667,
0.7174082013219535,
0.06087639044491969,
0.47005802122476575,
-0.400587382917767,
0.9393084997330875,
-0.11575144281381974,
1.0783475488623282,
-0.029045485283813913,
0.10450632855940395,
0.25165508007353754,
0.846913380988545,
-0.061987220759627565... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -113.5,
"target_ratio": 0.97,
"target_value": -110.095
} | 22 |
f8645113517905e1df1749520352d679 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [252, 220], "expectation_value": -27.53017156826226, "params": [[-0.0455, -0.0044, 0.001, 0.014100000000000001], [0.0719, 0.0639, 0.0694, 0.0618]], "bitstrings": ["100000011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.013023032716687998, 0.017165562616053762], "optimization_time": 13.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) q[3];
cx q[4]... | 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",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
5096143430902867398 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [3, 4], [8, 2, 3, 5], [1, 5], [0, 2, 6, 7], [1, 4, 6], [2, 4], [0, 4], [4, 5, 6], [8, 0, 3, 6], [1, 3], [2, 3, 7], [0, 3, 5, 6], [0, 2, 5], [8, 7]]} | {"states": [485, 366], "expectation_value": -1.8007060171330695, "params": [[0.3503], [-0.3362]], "bitstrings": ["000011010", "010010001"], "total_optimization_steps": 40, "probabilities": [0.010225726871698867, 0.011268341234388059], "optimization_time": 2.1680288314819336} | 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9166666666666656, "smallest_bitstrings": ["010010001"], "largest_eigenvalue": 12.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.3472719083706204) q[0];
h q[1];
ry(-0.6860803010307365) q[1];
h q[2];
ry(1.5767232312522623) q[2];
h q[3];
ry(1.5394597854502776) q[3];
h q[4];
ry(-0.7027688452929356) q[4];
cx q[2], q[4];
ry(0.7027688452929356) q[4];
cx q[2], q[4];
ry(-0.10076702228336856)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIZIZII",
"IIZIZIIII",
"IIIIZZIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"... | [
0.25,
0.25,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.25,
0.08333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.25,
0.1666666666666666... | 0.97737 | [
1.5361602076406344,
1.5767232312522623,
-1.4055376905858712,
1.5394597854502776,
-1.372160602061473,
-1.0993796091748689,
1.3472719083706204,
0.6539272555992419,
-0.39547304215942547,
0.6709446980576826,
-0.20153404456673712,
-0.2889180168061089,
0.21346555692965716,
-0.059496006699233814,... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -4.166666666666665,
"target_ratio": 0.97,
"target_value": -4.041666666666665
} | 1 |
179242501914684100 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 2], [2, 3], [2, 5, 6], [1, 3, 5], [3, 4], [0, 2, 5], [0, 1, 5], [0, 2, 4], [0, 3]]} | {"states": [102, 86], "expectation_value": -0.09283493106188168, "params": [[0.0762], [-0.0636]], "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008455838081373292, 0.008612244591867749], "optimization_time": 1.9856441020965576} | 0.5 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 7.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.6445852871393986) q[1];
h q[2];
h q[3];
ry(-0.20477889256854923) q[3];
cx q[2], q[3];
ry(0.20477889256854923) q[3];
cx q[2], q[3];
ry(-0.45542378608333367) q[3];
ry(1.2499460780047091) q[2];
cx q[2], q[1];
ry(0.6445852871393986) 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[0], q[1];
rz(x1) q[1];
cx q[0], q[1];
cx q[6], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"IIIIIZZ",
"ZIIIZII",
"IIIIZIZ",
"IIIIZZI",
"IIIZIIZ",
"IIIZIZI",
"IIIZZII",
"ZZIIIII",
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0.5,
0.... | 0.972378 | [
1.4819586700901126,
-0.40955778513709845,
1.2499460780047091,
-1.289170574278797,
-0.7677344758632336,
1.5294632172537423,
-0.9108475721666673,
-0.800042872657285,
0.20303359330494583,
1.4347494747178497,
0.18934921527539375,
-0.16106754943331078,
-0.33112676040472455,
0.22316894854485833,... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 19 |
022f37154ef60c6f79ecd211ae444bfa | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [134, 142], "expectation_value": -4.514516259300883, "params": [[[0.8076, 0.0005], [0.003, -0.41960000000000003], [0.19840000000000002, -0.29600000000000004], [-0.0017000000000000001, -0.4223], [0.7999, -0.0012000000000000001], [0.8026000000000001, -0.0031000000000000003], [0.8062, -0.0008], [0.1561000000000... | 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(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(1) + -0.5 * Z(0) + -1.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.34227625098400283) q[0];
rz(0.11026926979414498) q[0];
rx(0.07645566935780719) q[1];
rz(0.3095912022504053) q[1];
cx q[1], q[0];
rz(0.023818908544356966) q[0];
cx q[1], q[0];
rz(1.541435843655952) q[0];
ry(0.927758081047579) q[0];
rz(-1.5588355317737796) q[0];
rx(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIIZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIZIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-2,
-1,
-0.5,
-1.5,
-0.5
] | 0.976405 | [
0.3422762509840028,
0.13408817833850195,
0.07645566935780719,
0.3095912022504053,
0.3025579416635974,
0.020663421817970012,
0.10613370839549843,
0.03133841614770442,
0.37870523123411187,
0.23740719707080263,
0.5001046677780213,
-0.0923430257475071,
0.35758857077081047,
0.21732294948156455,... | {
"n_parameters": 133,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
126fb7ce9e06c1375b8cdf76d5948d1b | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [906, 394], "expectation_value": -5.597406624943203, "params": [[[1.5327000000000002, 0.0029000000000000002], [1.6991, 0.0031000000000000003], [1.6099, 0.0025], [-0.0063, 0.0028], [1.4797, 0.0041], [0.0021000000000000003, 0.0025], [1.6478000000000002, 0.0039000000000000003], [-0.0018000000000000002, 0.006200... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001110101", "0011011101", "0011110101", "1101001101", "1101100101", "0110110101", "0110110110", "1001011101"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.022232561135795748) q[0];
rz(0.15875302859996643) q[0];
rx(3.4637632193159726) q[1];
rz(-0.9185630124586958) q[1];
rx(3.2055423215853516) q[2];
rz(-0.24942459640360787) q[2];
rx(-0.0289337589067078) q[3];
rz(-0.6283996069693645) q[3];
rx(2.9001223549375443) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIIIZIZI",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"IIIIIZZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-2.5,
-1.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5
] | 0.973627 | [
0.022232561135795748,
0.15875302859996643,
3.4637632193159726,
-0.9185630124586958,
3.2055423215853516,
-0.24942459640360787,
-0.0289337589067078,
-0.6283996069693645,
2.9001223549375443,
0.8038388093122928,
-0.3258352780966992,
0.4279560272106009,
-0.8095257795511622,
-0.08704758387914223... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 24 |
-6967344369790396192 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [1, 5], [2, 4], [0, 3], [0, 5], [2, 3, 5], [1, 4]]} | {"states": [56, 7], "expectation_value": -0.07599825857068503, "params": [[0.07300000000000001], [-0.082]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.017961038192226768, 0.01809926545925023], "optimization_time": 1.4100770950317383} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.16666666666666674 * Z(5) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.25857690028615465) q[0];
h q[1];
ry(-0.5823527711044372) q[1];
h q[2];
ry(-0.6898495489238906) q[2];
h q[3];
ry(0.6767981064259732) q[3];
h q[4];
ry(0.835018955978355) q[4];
h q[5];
cx q[5], q[0];
ry(0.25857690028615465) q[0];
cx q[5], q[0];
ry(-0.43861607... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"ZIIZII",
"IIZIIZ",
"ZIZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0.16666666666666674,
0.16666666666666663,
0.16666666666666663
] | 0.976028 | [
-0.5171538005723093,
1.4476131045040006,
-1.1647055422088743,
1.67003791195671,
-0.8772321539837789,
1.3535962128519463,
-1.3796990978477812,
0.17149905240409172,
-0.14421287497132235,
0.018389139457551537,
-0.2753280962005102,
-0.08514182345727664,
0.36942450079462635,
0.38566066304280133... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 8 |
0b0b04a33d6e01f6b27fc13148d89a51 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [340, 362], "expectation_value": -45.87591755842283, "params": [[[1.5677, 1.5685], [1.5681, 0.2918], [1.5681, 1.5733000000000001], [1.5679, -0.0627], [1.5677, 1.5689000000000002], [1.5684, 1.5690000000000002], [-1.5901, 1.5770000000000002], [-1.5705, 0.29560000000000003], [1.5688, 1.5687]]], "bitstrings": ["... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 5.0 * Z(1) + 9.0 * Z(2) + 14.5 * Z(0) + 10.0 * Z(3) + 11.5 * Z(4) + 14.0 * Z(5) + -1.5 * Z(6) + 12.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.4033574784803715) q[0];
rz(0.06951350668522549) q[0];
rx(0.27814682432717847) q[1];
rz(0.97893174710093) q[1];
rx(1.673185849988617) q[2];
rz(-0.01590109435429054) q[2];
rx(1.9084228883910839) q[3];
rz(0.3128642386711954) q[3];
rx(0.3564472694114815) q[4];
rz(0.959... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
5,
9,
14.5,
10,
11.5,
14,
-1.5,
12.5,
-4
] | 0.972603 | [
1.4033574784803713,
0.4767294548455419,
0.27814682432717847,
0.97893174710093,
1.673185849988617,
-0.01590109435429054,
1.9084228883910839,
0.3128642386711954,
0.3564472694114815,
0.9596900051661456,
1.4154613672886285,
0.23159494619666146,
0.1026997950618185,
0.8782670999205301,
1.67682... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -75,
"target_ratio": 0.97,
"target_value": -72.75
} | 15 |
da3d58a73339e185cfd0185fb85ea8b0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"sour... | {"states": [44, 300], "expectation_value": -4.43655432742682, "params": [0.4098, 0.4081, 0.17070000000000002, 0.1686, 0.001, -0.0032, 0.39980000000000004, 0.40340000000000004, -0.0115, -0.0158, 0.39630000000000004, 0.40230000000000005, 0.4087, 0.40690000000000004, 0.10990000000000001, 0.113, 0.1082, 0.0869, 0.406, 0.40... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["010011101", "011010011", "101110010", "011110010"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.7201831585779536) q[0];
rz(pi/2) q[0];
ry(0.05044604124902137) q[1];
ry(0.550796787178573) q[2];
ry(1.1583195634105519) q[3];
ry(0.051635705230209515) q[4];
ry(0.6875754271977317) q[5];
ry(0.9152169438659079) q[6];
ry(-0.07127044488615603) q[7];
ry(-0.1277229753741... | 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",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIIZIIZII",
"IIZIZIIII",
"IIZIIIZII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1.5,
-1,
-1,
-1.5,
-1
] | 0.971834 | [
0.7201831585779536,
0.05044604124902137,
0.550796787178573,
1.1583195634105519,
0.051635705230209515,
0.6875754271977317,
0.9152169438659079,
-0.07127044488615603,
-0.12772297537412058,
0.4262807605530383,
-0.5696870049922482,
0.1324546025970373,
-0.07027316431842226,
0.3904277783040324,
... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 35 |
-2886344225172828999 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [0, 4], [1, 2, 4], [0, 5, 7], [1, 3, 4], [4, 5, 6], [0, 5, 6], [3, 4, 6], [0, 1, 2], [2, 6], [1, 3, 5], [5, 6, 7]]} | {"states": [75, 211], "expectation_value": -0.07304991546866374, "params": [[-0.0478], [0.0565]], "bitstrings": ["10110100", "00101100"], "total_optimization_steps": 10, "probabilities": [0.004169104407475097, 0.004199616256675505], "optimization_time": 0.8711838722229004} | 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.33333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4999999999999996, "smallest_bitstrings": ["00101100"], "largest_eigenvalue": 10.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(-0.7607737870022995) q[2];
cx q[7], q[2];
cx q[7], q[0];
rz(0.07405770930039057) q[0];
cx q[7], q[0];
cx q[2], q[0];
rz(0.07405770930039057) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.074057... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[7], q[0];
rz(x1) q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIZIIIZI",
"IIIZZIII",
"IIIIZIZI",
"IIZIZIII",
"ZZIIIIII",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIII",
"IIIIIZI... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.1666666... | 0.537034 | [
-0.7607737870022995,
0.07405770930039057,
-0.3250579183742282,
-0.314034399074016,
-0.6942165644569825,
0.8368360998743157
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -3.8333333333333335,
"target_ratio": 0.97,
"target_value": -3.7183333333333333
} | 150 |
73756a37c91cab93072716a079a9ec85 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [711, 709], "expectation_value": -85.06557741818938, "params": [2.9003, 0.0078000000000000005, 1.2801, 0.0034000000000000002, 2.9036, 0.0074, 2.8954, 0.008700000000000001, 0.7164, 0.0049, -0.0024000000000000002, 0.0057, 0.3214, 0.005, 2.9037, 0.0063, 1.4888000000000001, 0.004200000000000001, 2.9028, 0.0035, ... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 12.0 * Z(2) + 9.5 * Z(1) + 19.5 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["0100111010"], "largest_eigenvalue": 192.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.22557202561269035) q[0];
ry(0.2397156239115318) q[1];
ry(0.7533855710082193) q[2];
ry(0.6538267368053147) q[3];
ry(-0.047921945380840256) q[4];
ry(-0.08118506888624025) q[5];
ry(-0.09070976086967535) q[6];
ry(0.04466857113066163) q[7];
ry(0.521274242906632) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
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,
12,
9.5,
19.5,
3,
10,
0.5,
18.5,
11.5,
13.5,
-10
] | 0.972054 | [
0.22557202561269035,
0.2397156239115318,
0.7533855710082193,
0.6538267368053147,
-0.047921945380840256,
-0.08118506888624025,
-0.09070976086967535,
0.04466857113066163,
0.521274242906632,
0.17048489783041768,
-0.08071669957964883,
0.003373428215761738,
-0.0482806608566713,
-0.0307326814741... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 45 |
d081b5ece414d97b04408b0b42241cfc | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1039, 1551], "expectation_value": -6.997147463100957, "params": [[-0.056100000000000004, -0.051000000000000004, -0.044700000000000004, -0.027], [0.0629, 0.0692, 0.07490000000000001, 0.0722]], "bitstrings": ["01111110000", "00111110000"], "total_optimization_steps": 10, "probabilities": [0.002105254679153855... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 1 | 11 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"], "largest_eigenvalue": 36.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5886822951887793) q[0];
rz(0.06203987904640096) q[0];
rx(0.3684099261178423) q[1];
rz(0.3348218640846716) q[1];
rx(0.008886848508656647) q[2];
rz(0.15365930854882714) q[2];
rx(0.2789766364531309) q[3];
rz(-0.20477518601672084) q[3];
rx(0.030111471164943775) 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": []} | [
"IIIIIIIIIZZ",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"IIIIIIZIZII",
"IIZIIIZIIII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIIZIIZII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIZII... | [
0.375,
0.5,
1,
0.5,
0.5,
0.375,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
2,
-0.5,
-0.5,
-1,
0.75,
0.75,
3.5,
0.75,
3.5,
0.75,
0.5,
-1,
4,
8,
-1.5
] | 0.973976 | [
0.5886822951887795,
0.08596177347016964,
0.36840992611784235,
0.15047685235525898,
0.008886848508656647,
0.2981601685176529,
0.27897663645313087,
-0.05594064637820155,
0.03011147116494378,
-0.003248166825648227,
-0.012056173888535658,
-0.17191262332465457,
0.08692174155409721,
-0.351149555... | {
"n_parameters": 153,
"n_qubits": 11,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 12 |
e0ade851c431314b420faf30ab55361c | 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": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.5822885974722966, "params": [[-0.0553, -0.0777], [0.0669, 0.0746]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0061178534922397936, 0.006282664474448675], "optimization_time": 6.780417203903198} | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + -1.0 * Z(7) + 1.0 * Z(4) + -0.5 * Z(2) + 0.25... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10100000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.19637994446285023) q[0];
ry(0.004434294848134298) q[1];
ry(-0.1529448115883161) q[2];
ry(0.301627268796102) q[3];
ry(0.10999680651813609) q[4];
ry(-0.26260379773277104) q[5];
ry(1.1283519390608232) q[6];
ry(-0.21232730790856036) q[7];
cx q[7], q[0];
cx q[6], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.25,
-1,
-0.5,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1.5,
-0.25,
0,
-0.25,
0.25,
-1,
1,
-0.5,
0.25,
0.25
] | 0.97048 | [
0.19637994446285023,
0.004434294848134298,
-0.1529448115883161,
0.301627268796102,
0.10999680651813609,
-0.26260379773277104,
1.1283519390608232,
-0.21232730790856036,
0.03586905306606689,
0.052918349226921346,
0.06425495830263805,
-0.0252208040845944,
-0.06921812913884703,
0.0616679116071... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 62 |
2cf6224a7b786ab8607e7cc5dbc62158 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -9.333411341897254, "params": [0.007500000000000001, -0.0041, 0.3912, -0.41960000000000003, -0.0032, 0.0034000000000000002, 0.0021000000000000003, -0.005, 0.0038, 0.0049, 0.3536, 0.3744, 0.37510000000000004, 0.3745, 0.0021000000000000003, -0.0039000000000000003, -0.4943, -0.4869... | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 14 | 7 | 4 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06830128417282086) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.011585934974251182) q[3];
cx q[2], q[3];
rz(-0.6633598662099609) q[2];
rx(-1.3300415243216537) q[2];
cx q[3], q[1];
rz(-0.30274825969433) q[1];
cx q[3], 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] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x11;
in... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.75,
-0.25,
-1.25,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
0.5,
1
] | 0.970349 | [
-0.06830128417282086,
-0.6633598662099606,
0.011585934974251182,
-0.30274825969433,
0.03219304338927346,
-0.1354849027968686,
0.8613712349684953,
0.42174121241001783,
-1.330041524321654,
-0.2214808877154617,
-0.993722562477752,
0.18392254142999373,
-0.9256007528868808,
0.1552563526822461,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 210 |
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": -4.00559823916914, "params": [-0.3648, -0.010700000000000001, -0.32780000000000004, 0.4887, -0.3689, 0.1769, -0.3299, 0.4046, 0.3391, 0.42200000000000004, 0.328, 0.5547000000000001, 0.35760000000000003, 0.3336, 0.33280000000000004, 0.5684, 0.36460000000000004, 0.2877, 0.3426, 0.... | -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 | 4 | {"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] 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... | {"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 |
3fb3735639c46bff7d77a855f00e5a0c | 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": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [68, 5], "expectation_value": -7.659911186378091, "params": null, "bitstrings": ["0111011", "1111010"], "total_optimization_steps": 26, "probabilities": [0.14623545328473836, 0.8524775409824853], "optimization_time": 26.271645069122314} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
175dd49c484ef3d5fa3bd6c9677b2e54 | 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": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [374, 214], "expectation_value": -26.572107025578195, "params": [[0.024800000000000003, 0.010700000000000001, -0.0015, -0.005], [-0.054900000000000004, -0.064, -0.041800000000000004, -0.0213]], "bitstrings": ["010001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.007482227020934936, 0... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.012702872726867235) q[0];
rz(0.7261500482432468) q[0];
rx(1.708594509649015) q[1];
rz(0.12597962376736144) q[1];
rx(1.7733981518856725) q[2];
rz(-0.02277223671017986) q[2];
rx(0.06529158846150054) q[3];
rz(0.533931610746281) q[3];
rx(1.7309825126937453) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"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,
18.5,
3.5,
10,
5,
14.5,
16.5,
2.5,
16,
14
] | 0.970119 | [
0.012702872726867237,
0.6846830848096259,
1.708594509649015,
0.12597962376736144,
1.7733981518856725,
-0.02277223671017986,
0.06529158846150054,
0.533931610746281,
1.7309825126937453,
0.43134552008146615,
-0.061856389290952205,
0.7298563498538823,
1.7726504492361108,
0.0006008827544663614,... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 10 |
d03e32d5e9764c8343d7f8006656b730 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1406, 1390], "expectation_value": -1.410711933193262, "params": [[[1.7079, 0.006900000000000001], [0.8962, 0.0078000000000000005], [1.7106000000000001, 0.0039000000000000003], [0.4494, 0.0097], [1.7033, 0.0098], [1.6976, 0.0083], [1.4764000000000002, 0.0083], [1.6976, 0.008700000000000001], [1.7048, 0.0092]... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(9)) + 0.25 * (... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.78125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.78125, "smallest_bitstrings": ["01010010001"], "largest_eigenvalue": 7.21875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.1335090584017893) q[0];
rz(-0.5990684230214234) q[0];
rx(0.23349907105519624) q[1];
rz(-0.007278232687875308) q[1];
rx(2.7638781491797006) q[2];
rz(0.9039943596728748) q[2];
rx(-0.004420233934119749) q[3];
rz(-0.4009614804284214) q[3];
rx(3.2893443474482185) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIIIIZ",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIZZIIIIIZ",
"IIZIIIIIIZI",
"IIIIZZIIIII",
"IZIIIZIIIII",
"IZIIZIIIIII",
"IZIIZZIIIII",
"IIIIIIZIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IZIIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.0312... | 0.974932 | [
3.1335090584017893,
-0.5990684230214234,
0.23349907105519624,
-0.007278232687875308,
2.7638781491797006,
0.9039943596728748,
-0.004420233934119749,
-0.4009614804284214,
3.2893443474482185,
0.3016865680362366,
3.2906672873934273,
-1.264686666792298,
-0.07572747025868419,
-2.053157473912279,... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -4.78125,
"target_ratio": 0.97,
"target_value": -4.6378125
} | 52 |
-3361402175166855176 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2], [0, 1, 3], [3, 4]]} | {"states": [6, 18], "expectation_value": -1.2218086148497773, "params": null, "bitstrings": ["11001", "01101"], "total_optimization_steps": 25, "probabilities": [0.04655937780380764, 0.7962659496753344], "optimization_time": 12.486250638961792} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.333333333333333, -1.333333333333333, -1.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["10001", "01101", "00110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.4500340982963593) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(-0.25929070831452916) q[1];
cx q[0], q[1];
rz(0.24718040909066286) q[2];
rx(0.8077654799223468) q[2];
h q[3];
cx q[0], q[3];
rz(-0.25929070831452916) q[3];
cx q[0], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IIZIZ",
"IIIZZ",
"IZIIZ",
"IZIZI",
"ZZIII",
"IIZII",
"IIIIZ",
"IIIZI",
"IZIII",
"ZIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663,
0
] | 0.781314 | [
-1.4500340982963593,
-0.25929070831452916,
0.24718040909066308,
0.8077654799223468
] | {
"n_parameters": 4,
"n_qubits": 5,
"optimal_eigenvalue": -1.333333333333333,
"target_ratio": 0.97,
"target_value": -1.293333333333333
} | 134 |
5d3a7f0fc0229f8fe840773b48e2ac4d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [4589, 4605], "expectation_value": -3.3776559953839507, "params": [0.39890000000000003, 0.002, 0.3952, 0.0004, 0.0071, 0.2999, -0.0012000000000000001, 0.3396, 0.0021000000000000003, 0.34690000000000004, 0.0033, 0.3498, 0.0031000000000000003, -0.2979, -0.0056, -0.3004, 0.42100000000000004, -0.0329, 0.4164, -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)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 7 | 13 | 4 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.687... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(2.179969583913338) q[0];
rz(0.11735145406740033) q[0];
rx(0.22915332731223137) q[1];
rz(0.12093338548994714) q[1];
rx(-0.14030231468460047) q[2];
rz(0.4356529657934303) q[2];
rx(1.9159090351699462) q[3];
rz(0.13719755422998953) q[3];
rx(1.7271089019613852) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIIIZZZIII",
"IIIIIIZIZZIII",
"IIIIIIZZIZIII",
"IIIIIIZZZIIII",
"IIIIIIZZZZIII",
"IIIIIIIIIZIIZ",
"IIIIIZIIIII... | [
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,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.970672 | [
2.179969583913338,
0.14716273363616963,
0.22915332731223137,
0.12093338548994714,
-0.14030231468460047,
0.4356529657934303,
1.9159090351699462,
0.13719755422998953,
1.7271089019613852,
-0.008097248472066595,
0.9508664218247079,
-0.05526085517592878,
0.09627329726862041,
0.8842217826949947,... | {
"n_parameters": 75,
"n_qubits": 13,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 65 |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [46, 45], "expectation_value": -3.999899063456072, "params": null, "bitstrings": ["010001", "010010"], "total_optimization_steps": 27, "probabilities": [1.641445749207698e-05, 0.9999303761353509], "optimization_time": 26.52905511856079} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"ZZIIII",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
-665890028297923844 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 3], [1, 3], [2, 3]]} | {"states": [6, 5], "expectation_value": -0.0005373862392333388, "params": [[-0.0078000000000000005], [0.0098]], "bitstrings": ["111001", "111010"], "total_optimization_steps": 10, "probabilities": [0.015641795915277947, 0.01564179591527795], "optimization_time": 0.4238860607147217} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["000100", "111010", "111001"], "largest_eigenvalue": 2.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7460751980015922) q[0];
h q[1];
ry(-0.7460751980015922) q[1];
h q[2];
ry(-0.4023864331823995) q[2];
h q[3];
cx q[3], q[2];
ry(0.4023864331823995) q[2];
cx q[3], q[2];
ry(-0.9571496730723936) q[2];
ry(1.6130208583575758) q[3];
cx q[3], q[1];
ry(0.7460751980... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx ... | null | {"circuits": [], "gradients": []} | [
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIZIIZ",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666674,
0.16666666666666666,
0,
0,
0
] | 0.970562 | [
-0.804772866364799,
1.6130208583575758,
-1.4921503960031843,
-0.9380444652257907,
0.005416856848235896,
0.04498772907365763,
-0.8405533631039518,
0.5520138915011259,
-0.8628858012939606,
-0.03821041569320567,
-0.14394497970240766,
0.8998755737280338,
0.7257025690339095,
0.09575255400116803... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 16 |
9b6c90aee56ab84919f7c826e678a024 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -1.206197137338808, "params": [[-0.015000000000000001, -0.041600000000000005, 0.0709], [-0.0014, 0.0536, -0.0395]], "bitstrings": ["11100", "10110"], "total_optimization_steps": 10, "probabilities": [0.036500171769426194, 0.03650017176942626], "optimization_time": 2.9303741455078... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 10 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
87ba346715d7ffd469182fcb7e9830c2 | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [17, 19], "expectation_value": -1.8503184861654127, "params": [[0.057300000000000004, 0.046700000000000005], [-0.0472, -0.040400000000000005]], "bitstrings": ["1101110", "1101100"], "total_optimization_steps": 10, "probabilities": [0.013238711018952945, 0.013877952482313292], "optimization_time": 2.652460098... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 2 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) q[4];
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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
66821967a3f10beeb83d52b84e4f3aaa | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [59, 57], "expectation_value": -3.733165110077514, "params": [-0.0074, -0.29460000000000003, 0.0381, -0.2787, 0.608, 0.0024000000000000002, 0.5927, -0.0056, 0.6015, -0.0044, 0.0625, 0.24710000000000001, 0.24910000000000002, -0.2015, 0.6105, 0.0006000000000000001, -0.006200000000000001, -0.3196, 0.0454, -0.27... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(7) + -0.5 * Z(1) + -1.0 * Z(6) + 0.0... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10110010", "10010110", "11001100", "11000110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.03249782654357993) q[0];
rz(1.1689085934967247) q[0];
rx(0.13841457121546383) q[1];
rz(1.6078385955932406) q[1];
rx(0.5708238372507783) q[2];
rz(1.9059392235318864) q[2];
rx(0.8821325777499631) q[3];
rz(1.5053028603437335) q[3];
rx(1.1824289461746775) q[4];
rz(1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1.5,
0,
-0.5,
-1,
0
] | 0.979565 | [
0.03249782654357993,
-0.4018877332981718,
0.13841457121546386,
0.03704226879834417,
0.5708238372507782,
0.33514289673698955,
0.8821325777499633,
-0.06549346645116284,
1.1824289461746775,
0.09894941970067941,
0.08905383205063,
0.21635548905574709,
0.07316459110966408,
-0.31238684517192855,
... | {
"n_parameters": 66,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
e1508c23709a136243bba25d0bd02a12 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1331, 1299], "expectation_value": -63.10878565382413, "params": [2.3009, 0.0049, 1.2919, 0.0091, 2.2982, 0.00030000000000000003, 0.024, 0.0054, -0.0026000000000000003, 0.0067, 1.4736, 0.0012000000000000001, 2.2997, 0.0006000000000000001, -0.0031000000000000003, 0.0013000000000000002, 1.2798, 0.0069000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(10) @ Z(1)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(10)) + 8.5 * Z(0) + 3.0 * Z(1) + -3.0 * Z(3) + 16.0 * Z(2) + 16.5 * Z(6) + 4.0 * Z(5) + -5.5 * Z(7) + 3.0... | 18 | 11 | 1 | {"smallest_eigenvalues": [-107.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.0, "smallest_bitstrings": ["01011101100"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-2.973027855905145) q[0];
rz(-0.8287104300066623) q[0];
rx(-0.07304872633473045) q[1];
rz(1.0979819510733062) q[1];
rx(3.3505700368144122) q[2];
rz(-0.12294686098620126) q[2];
rx(0.174808272826535) q[3];
rz(-0.09304661989612487) q[3];
rx(-0.1734720071754705) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIZIIIZII",
"IIIIZZIIIII",
"IIIZIIIIIIZ",
"IIZIIIIIZII",
"IIZIZIIIIII",
"ZIIIIIIIIZI",
"IZIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"ZIIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
8.5,
3,
-3,
16,
16.5,
4,
-5.5,
3,
9.5,
6.5,
-9.5
] | 0.974483 | [
3.3101574512744416,
-0.6932981160498546,
-0.07304872633473045,
1.0979819510733062,
3.3505700368144122,
-0.12294686098620126,
0.174808272826535,
-0.09304661989612487,
-0.1734720071754705,
-0.756938346317343,
0.3579588777053113,
0.3590950827189715,
3.197801209827824,
0.09049926894306881,
0... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -107,
"target_ratio": 0.97,
"target_value": -103.78999999999999
} | 22 |
611172065062800315 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2, 4], [1, 3], [0, 1, 2], [2, 3, 4]]} | {"states": [22, 25], "expectation_value": -0.030077047680544533, "params": [[-0.066], [0.0661]], "bitstrings": ["01001", "00110"], "total_optimization_steps": 10, "probabilities": [0.032429591420660556, 0.03243127503222934], "optimization_time": 1.5847976207733154} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.4999999999999999 * Z(2) + 0.3333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1666666666666667, "smallest_bitstrings": ["00110"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.1798415646067004) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.1798415646067004) q[4];
cx q[2], q[4];
cx q[1], q[4];
cx q[2], q[3];
rz(-0.023278845071440075) q[3];
cx q[2], q[3];
cx q[2], q[0];
rz(-0.023278845071... | 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(x1) q[4];
cx q[1], q[4];
cx q[2], q[... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"ZIZII",
"ZIIZI",
"IZZII",
"IZIZI",
"ZZIII",
"IIZIZ",
"IIIZZ",
"IIZII",
"IIIZI",
"ZIIII",
"IZIII",
"IIIIZ"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.4999999999999999,
0.3333333333333335,
0.3333333333333333,
0.16666666666666663,
0.16666666666666666
] | 0.772082 | [
-0.1798415646067004,
-0.023278845071440075,
-1.4787485839584567,
0.9065989412843652
] | {
"n_parameters": 4,
"n_qubits": 5,
"optimal_eigenvalue": -1.1666666666666672,
"target_ratio": 0.97,
"target_value": -1.131666666666667
} | 117 |
3f6cd58ea9824e6c849fdf6cebbc868c | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target": 6}, {"source": 3, "target": 8}, {"sour... | {"states": [63, 255], "expectation_value": -1.7818447586717425, "params": [[0.06570000000000001], [-0.0599]], "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 10, "probabilities": [0.005851933413274376, 0.0060313364644487165], "optimization_time": 2.6074752807617188} | -1.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(7)) + -2.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + -3.0 * (Z(5) @ Z(7)) + -3.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.0, -17.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000000", "00111111"], "largest_eigenvalue": 30.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.7950811449865762) q[1];
cx q[0], q[1];
ry(-0.7950811449865762) q[1];
cx q[0], q[1];
ry(0.622617961915642) q[0];
cx q[1], q[0];
ry(-0.622617961915642) q[0];
cx q[1], q[0];
h q[2];
ry(-0.03378518724637784) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.033785187... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIZIIII",
"ZIIIIZII",
"IIIZIZII",
"ZIZIIIII",
"IIZZIIII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"ZZIIIIII",
"IZIZIIII",
"IZIIIZII",
"IZZIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
1.5,
-2.5,
0.5,
-3,
-3.5,
-2,
-2.5,
0.5,
-3,
-3,
0.5,
1,
0.5,
0.5,
0.5,
-2.5,
-2.5,
1,
1.5,
1,
1.5
] | 0.970005 | [
-0.06757037449275569,
0.07174055792614034,
-0.24359188982586918,
0.23432854409594972,
-0.09616519828675556,
1.142028590648001,
0.06236222277291054,
1.5901622899731525,
1.245235923831284,
-0.11539859420224235,
0.014286359750759654,
0.08620956846417838,
-0.04493181374041302,
-0.5358851665554... | {
"n_parameters": 48,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 265 |
00c47f772e828bc0d4453cbe4002ef93 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [165, 167], "expectation_value": -1.6934858147226821, "params": [0.5975, 0.6691, 1.0012, 1.0007000000000001, 0.5342, 0.5065000000000001, 1.0056, 1.0023, 0.38430000000000003, 0.3962, 0.0021000000000000003, 0.0015, 1.0013, 1.0055, 1.0012, 0.9985, 1.0077, 1.0012, 0.9034000000000001, 0.9918, 0.4163, 0.9931000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(8) @ Z(1)) + 0.12... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.375, "smallest_bitstrings": ["001101100", "010101010", "001011100", "001011010", "101011000", "100011001", "100011010", "010011010", "100101001"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZZIIIIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIZIZIIZI",
"ZIIIZIIZI",
"ZIZIIIIZI",
"ZIZIZIIII",
"ZIZIZIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
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,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
-0.125,
-0.5,
-1,
0.125,
0,
0.125
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [48, 56], "expectation_value": -2.01070128895062, "params": [1.6108, 0.006200000000000001, 1.6044, 0.003, 1.5982, 0.0027, 0.0025, 0.0081, 0.0025, 0.0039000000000000003, 0.0027, 0.0034000000000000002, 0.006500000000000001, 0.0037, 0.009600000000000001, 0.0014, 0.008700000000000001, 0.0047], "bitstrings": ["00... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 18 | 6 | 1 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
760a7ce4d437b8e424d32a337832813a | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [2734, 2750], "expectation_value": -1.9994272628858005, "params": [[[0.8034, 0.001], [0.5912000000000001, -0.1947], [0.9988, -0.0044], [0.5912000000000001, 0.1947], [1.0017, -0.0044], [0.0956, 0.43970000000000004], [0.9987, 0.0039000000000000003], [0.7911, 0.0031000000000000003], [1.0033, 0.0044], [0.9999, -... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1) @ Z(7)) ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-5.015625, -5.015625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.015625, "smallest_bitstrings": ["010101000001", "100001010001"], "largest_eigenvalue": 6.984375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(1.5819744964408988) q[0];
ry(2.909023609907322) q[0];
rz(-1.3661128140262044) q[0];
rz(-1.5848625348574938) q[1];
ry(0.12684553783295618) q[1];
rz(1.4265295960935278) q[1];
rz(-1.30836669676615) q[2];
ry(2.870855774655652) q[2];
rz(1.1365618536597033) q[2];
rz(2.042... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIZZIIZ",
"IIIIIZZIIIII",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IIIZZIIIIIZI",
"IIIIZIIIZIII",
"IIZIIIIIZIII",
"IIZIZIIIIIII",
"IIZIZIIIZIII",
"IZIIIIZII... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.015625,
0.... | 0.970089 | [
1.7345966564677826,
0.002792785181459239,
-0.11512421326365746,
-0.15081909622239195,
2.2697812251112093,
-0.07661619731870226,
0.1571210278669426,
1.7657960902932879,
0.039850513011237834,
0.5507631551270136,
1.7161629869565842,
0.03245576214789417,
1.2298248726164296,
-0.1444102054384174... | {
"n_parameters": 39,
"n_qubits": 12,
"optimal_eigenvalue": -5.015625,
"target_ratio": 0.97,
"target_value": -4.86515625
} | 36 |
bc61f035d1c66afdfb18fc5ab29f7217 | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 4, "source": 0, "target":... | {"states": [800, 804], "expectation_value": -15.88041105490979, "params": [-0.0043, -0.0033, 0.38170000000000004, 0.3759, 0.36300000000000004, 0.35710000000000003, 0.005, -0.0012000000000000001, -0.0022, 0.0039000000000000003, 0.386, 0.38270000000000004, 0.0066, 0.001, 0.0053, 0.0007, -0.2114, -0.2152, 0.0005, 0.001700... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -1.0 * (Z(10) @ Z(0)) + 3.25 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(10)) + -0.5 * (Z... | 14 | 11 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10011011011"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.04750411134879278) q[0];
rz(1.5884633645318935) q[0];
rx(0.20191240759595827) q[1];
rz(1.9527687558222215) q[1];
rx(0.914788455226635) q[2];
rz(1.577502513801818) q[2];
rx(0.08279852833205391) q[3];
rz(1.85961588052652) q[3];
rx(0.4502357086767437) q[4];
rz(1.804... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIIIIIIZIZI",
"IIIIIIIIZZI",
"IZIIIIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIZIIII",
"ZIIIIZIIIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZIIIIIZII",
"IIZIZIIIIII",
"IZIZIIIII... | [
-1,
-1,
-0.25,
-1,
3.25,
-0.75,
-1.25,
-0.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-0.5,
-0.25,
-0.75,
-1.25,
-0.5,
-1.25,
-2,
-0.25,
0.75,
-0.25,
0.5,
1.5,
0,
-1.5,
1.75,
0.75,
-1.25
] | 0.971455 | [
-0.04750411134879278,
0.01766703773699651,
0.20191240759595824,
0.38197242902732476,
0.9147884552266349,
0.006706187006920768,
0.08279852833205392,
0.2888195537316233,
0.4502357086767436,
0.2336817163843945,
0.6813708904147072,
0.15964844501919984,
-0.17125076244308293,
-0.0094936308474146... | {
"n_parameters": 102,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 81 |
97e21f4d4c173b2fe36d0dd34d33fc9b | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [14, 142], "expectation_value": -4.5108438607413595, "params": [1.6053000000000002, 0.0027, 0.9252, 0.3906, 0.3778, -0.0028, 0.17800000000000002, 0.0017000000000000001, 1.6078000000000001, 0.0036000000000000003, 1.6124, -0.0035, 1.6052000000000002, -0.0076, -0.0073, 0.0068000000000000005, -1.5859, 0.7709, 1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(3) + -1.0 * Z(6) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01110001"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-3.018984219120748) q[0];
rz(1.5217061411172557) q[0];
rx(0.11423141320045348) q[1];
rz(1.4157057915726314) q[1];
rx(-0.1967976424972514) q[2];
rz(1.4602068638063734) q[2];
rx(0.1446091086460601) q[3];
rz(2.0763825440225165) q[3];
rx(1.3140716254354532) q[4];
rz(1.48... | 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",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"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,
-1,
-0.5,
-2,
-1,
-0.5,
-1,
-0.5,
-1.5
] | 0.971824 | [
3.264201088058839,
-0.04909018567764065,
0.11423141320045348,
-0.155090535222265,
-0.1967976424972514,
-0.1105894629885244,
0.1446091086460601,
0.5055862172276195,
1.3140716254354534,
-0.08586201250460176,
2.0028400041732937,
-0.15358360098413384,
2.6791286639535596,
-0.10356626322160357,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
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