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 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4604930777967587027 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5, 7], [0, 3, 4, 6], [0, 1, 3, 6], [2, 6], [8, 7]]} | {"states": [54, 182], "expectation_value": -1.6361407934207608, "params": null, "bitstrings": ["111001001", "101001001"], "total_optimization_steps": 74, "probabilities": [0.09832213437690493, 0.49242747889581023], "optimization_time": 147.41831469535828} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["000001101", "011010001", "001100001", "000000110", "101000010", "101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.3016) q[3];
cry(-1.0342) q[6], q[2];
ry(0.8595) q[6];
ry(-0.5826) q[2];
cry(-1.0342) q[7], q[8];
ry(0.7841) q[7];
cry(0.4728) q[3], q[6];
ry(-0.5247) q[8];
cry(0.49) q[3], q[7];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3016) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
9228e28ac03945898edc42576cc2cbcf | 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": 1, "target": 3}, {"source": 1, "target": 8}, {"sour... | {"states": [73, 77], "expectation_value": -4.056658004160712, "params": [[0.0067, -0.0217, 0.8216, 0.0026000000000000003, -0.0183, 0.7854, 0.2844, -0.0381, 0.7946000000000001], [0.0035, 0.0029000000000000002, 0.7888000000000001, 0.0023, -0.020900000000000002, 0.904, 0.9065000000000001, 0.0175, 0.7704000000000001], [-0.... | 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(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + 0.0 * Z(8) + -0.5 * Z(7) + 0.0... | 10 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["110011010", "010111010", "110110010", "110001110", "100110011", "011111000", "111110000", "001111001", "101110001", "000111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0067) q[0];
ry(-0.0217) q[1];
ry(0.8216) q[2];
ry(0.0026) q[3];
ry(-0.0183) q[4];
ry(0.7854) q[5];
ry(0.2844) q[6];
ry(-0.0381) q[7];
ry(0.7946) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];... | 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": []} |
2e176b1388169c31718c374b42e0c725 | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [70, 63], "expectation_value": -3.8557345323839898, "params": null, "bitstrings": ["0111001", "1000000"], "total_optimization_steps": 52, "probabilities": [0.061725432789195255, 0.6825766806121321], "optimization_time": 50.895758628845215} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5486) q[4];
cry(1.5626) q[2], q[3];
cry(1.2279) q[3], q[2];
ry(1.5158) q[5];
cry(-1.0348) q[6], q[0];
cry(0.9797) q[3], q[6];
cry(1.2085) q[2], q[1];
cry(-0.6038) q[3], q[0];
cry(0.4593) q[2], q[6];
... | 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(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
7526625195088069559 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 4, 5, 7, 8, 9], [2, 5, 6, 7, 8, 9], [1, 5, 7, 8, 9], [3, 7], [1, 2, 4, 5, 8, 9], [1, 3, 4, 8, 9]]} | {"states": [957, 829], "expectation_value": -1.3629654295251765, "params": [1.0736, 1.1814, 1.4455, 1.4912, 0.6346, 0.6069, 0.1749, 0.1179, 1.4973, 1.4972, 1.4788000000000001, 1.473, 1.4979, 1.4978, 1.4803000000000002, 1.4798, 1.4979, 1.487, 1.4814, 1.4791, 1.3113000000000001, 1.4898, 1.395, 0.6114, 0.2717, 0.435, 0.06... | 0.023809523809523808 * (Z(0) @ Z(2)) + 0.05714285714285714 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.09047619047619047 * (Z(5) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(4)) + 0.05714285714285714 * (Z(7) @ Z(2)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.0238095238... | 14 | 10 | 1 | {"smallest_eigenvalues": [-1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905, -1.4904761904761905], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.49047619047619, "smallest_bitstrings": [... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.0736) q[0];
ry(1.4455) q[1];
ry(0.6346) q[2];
ry(0.1749) q[3];
ry(1.4973) q[4];
ry(1.4788) q[5];
ry(1.4979) q[6];
ry(1.4803) q[7];
ry(1.4979) q[8];
ry(1.4814) q[9];
crx(1.3113) q[9], q[0];
crx(0.1301) q[8], q[9];
crx(0.8939) q[7], q[8];
crx(0.8623) 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[... | null | {"circuits": [], "gradients": []} |
081a3ef2a02910794db9cb14b9d27e2c | vertex_cover | qaoa | {"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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [10, 17], "expectation_value": -0.31438948501822556, "params": [[-0.0507, -0.061500000000000006, -0.0781], [0.0495, 0.0614, 0.0712]], "bitstrings": ["10101", "01110"], "total_optimization_steps": 10, "probabilities": [0.041407813887111636, 0.041407813887111636], "optimization_time": 2.4106645584106445} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0507) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0507) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0507) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(-0.0507) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.0507) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
-307435640922553512 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4, 6], [8, 9, 2, 4], [0, 1, 2, 3, 4], [0, 3, 4, 6, 7], [0, 3, 5, 6, 7], [0, 1, 9, 7], [8, 9, 0, 6], [9, 2, 5, 1], [8, 1, 4, 0], [9, 3, 6], [9, 5, 6], [1, 3, 7], [1, 2, 3, 6, 8], [9, 3, 1], [2, 3, 4, 7, 8], [0, 1, 2, 4, 9], [0, 2, 5, 7], [8, 1, 5, 7], [0, 1... | {"states": [0, 986], "expectation_value": 0.9950794881928889, "params": [0.7063, -0.0021000000000000003, 0.7076, 0.0073, 0.6996, 0.0026000000000000003, 0.6961, 0.0032, 0.7036, -0.0021000000000000003, 0.7028, 0.007200000000000001, 0.7028, 0.0023, 0.7059000000000001, 0.009600000000000001, 0.7032, 0.0029000000000000002, 0... | 0.4833333333333333 * (Z(1) @ Z(2)) + 0.31666666666666665 * (Z(4) @ Z(2)) + 0.35 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(8) @ Z(2)) + 0.21666666666666667 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(8) @ Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.000000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.58333333333333, "smallest_bitstrings": ["0000100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7063) q[0];
rz(-0.0021) q[0];
rx(0.6996) q[1];
rz(0.0026) q[1];
rx(0.7036) q[2];
rz(-0.0021) q[2];
rx(0.7028) q[3];
rz(0.0023) q[3];
rx(0.7032) q[4];
rz(0.0029) q[4];
rx(0.7033) q[5];
rz(-0.0032) q[5];
rx(0.7006) q[6];
rz(0.0028) q[6];
rx(0.6971) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -12.718128961070258, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10584323864462455, 0.6130206780999486], "optimization_time": 113.78823518753052} | 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 ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.4894) q[0];
cry(-1.5708) q[6], q[3];
ry(0.8451) q[6];
cry(-1.5708) q[5], q[2];
cry(-1.5707) q[4], q[1];
ry(1.0936) q[4];
ry(-0.443) q[1];
ry(0.8272) q[5];
ry(-0.3828) q[3];
ry(-0.3394) q[2];
cry(0.4... | 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(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
f3001bcf3b02245c00ca9c4405d33229 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 2}, {"weight": 9, "source": 2, "target": 3}, {"weight": ... | {"states": [500, 372], "expectation_value": -93.99128390790096, "params": [0.15610000000000002, 0.01, 0.8488, 0.2086, 1.086, 0.3195, 0.9325, 0.0966, 0.8403, 0.0488, 1.034, -0.019700000000000002, 0.10830000000000001, -0.1393, 1.0468, -0.10020000000000001, -0.6028, -0.27, 0.2727, 0.40700000000000003, 0.15660000000000002,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 15.0 * Z(1) + -5.0 * Z(0) + 15.5 *... | 4 | 10 | 3 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1561) q[0];
rz(0.01) q[0];
rx(0.8488) q[1];
rz(0.2086) q[1];
rx(1.086) q[2];
rz(0.3195) q[2];
rx(0.9325) q[3];
rz(0.0966) q[3];
rx(0.8403) q[4];
rz(0.0488) q[4];
rx(1.034) q[5];
rz(-0.0197) q[5];
rx(0.1083) q[6];
rz(-0.1393) q[6];
rx(1.0468) q[7];
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\": 10}"} | {"circuits": [], "gradients": []} |
a09fd8263c85c42edd74a3289977a8b3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, ... | {"states": [89, 83], "expectation_value": -3.9991518136789104, "params": null, "bitstrings": ["0100110", "0101100"], "total_optimization_steps": 31, "probabilities": [0.0662083106340674, 0.9331798199285191], "optimization_time": 29.89132595062256} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101000", "0100110", "0101100"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4449) q[6];
ry(1.4417) q[0];
cry(-1.0398) q[5], q[3];
ry(0.7022) q[5];
ry(-0.4578) q[3];
cry(0.497) q[6], q[5];
cry(-0.3761) q[6], q[3];
cry(0.247... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
3d2c4840fc401bce028fec43ca4ea0a2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1918, 1882], "expectation_value": -6.5620274769490665, "params": [[-0.045700000000000005, -0.0322, -0.1086], [0.15080000000000002, 0.13290000000000002, 0.1426]], "bitstrings": ["00010000001", "00010100101"], "total_optimization_steps": 20, "probabilities": [0.0020616005689756325, 0.0020616005689756346], "op... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.4285714285714286 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(9)) + 0.8571428571428572 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 11 | 3 | {"smallest_eigenvalues": [-10.857142857142858, -10.857142857142858], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.857142857142856, "smallest_bitstrings": ["00010100101", "00010100011"]} | OPENQASM 3.0;
include "stdgates.inc";
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[8], q[0];
rz(-0.0457) q[0];
cx q[8], q[0];
cx q[8], q[9];
rz(-0.0914) q[9];
cx q[8], q[9];
cx q[0], q[9];
rz(-0.0457) q[9];
cx q[0], q[9];
cx q[8], q[1];
rz(-0.0914... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
f7a2e822dca9db2509fff57c86b9eea0 | 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": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [129, 131], "expectation_value": -4.524889373446898, "params": [0.8037000000000001, 0.1316, 0.8087000000000001, 0.004200000000000001, 0.3276, -0.3708, 0.3164, 0.00030000000000000003, 0.7228, 0.4033, 0.7255, 0.0058000000000000005, -0.0037, 0.4313, -0.0037, 0.0057, -0.0025, -0.26830000000000004, -0.0059, 0.009... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(1) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["01011101", "01111100", "10101110", "10100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8037) q[0];
rz(0.1316) q[0];
rx(0.3276) q[1];
rz(-0.3708) q[1];
rx(0.7228) q[2];
rz(0.4033) q[2];
rx(-0.0037) q[3];
rz(0.4313) q[3];
rx(-0.0025) q[4];
rz(-0.2683) q[4];
rx(0.0033) q[5];
rz(0.4463) q[5];
rx(0.8079) q[6];
rz(0.046) q[6];
rx(0.7985) q[7];
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": []} |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [5, 1], "expectation_value": -2.6282767796224737, "params": [[0.0499, 0.06860000000000001, 0.0766, 0.0781], [-0.010700000000000001, -0.041100000000000005, -0.0574, -0.0685]], "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013976470274756785, 0.014677324725410546],... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0499) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0499) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0748) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0249) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7e23eef08dcdb4e5133f79c5680febb8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [3325, 3327], "expectation_value": -27.111768015389718, "params": [-0.0016, -0.008400000000000001, -0.0017000000000000001, -0.0056, 0.6278, 0.6239, 0.4657, 0.4641, 0.0051, 0.033100000000000004, -0.0038, -0.0009000000000000001, 0.26080000000000003, 0.35850000000000004, 0.42050000000000004, 0.48000000000000004... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11... | 14 | 14 | 3 | {"smallest_eigenvalues": [-27.833333333333176], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.83333333333282, "smallest_bitstrings": ["11001100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(-0.0016) q[0];
ry(-0.0017) q[1];
ry(0.6278) q[2];
ry(0.4657) q[3];
ry(0.0051) q[4];
ry(-0.0038) q[5];
ry(0.2608) q[6];
ry(0.4205) q[7];
ry(0.5586) q[8];
ry(0.4345) q[9];
ry(0.458) q[10];
ry(0.5332) q[11];
ry(-0.1957) q[12];
ry(0.4268) q[13];
crx(0.0025) 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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -7.4999999999720615, "params": null, "bitstrings": ["1011", "1010"], "total_optimization_steps": 13, "probabilities": [4.65539676913598e-12, 0.9999999999953437], "optimization_time": 4.149869918823242} | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.5708) q[1];
cry(1.5708) q[1], q[3];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... |
72ec18873d3dc55875c8efef46485470 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -1.4175034407057994, "params": [[0.060500000000000005, 0.0471], [-0.055, -0.0409]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.025694669671072486, 0.02607592875334389], "optimization_time": 2.3219287395477295} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.1513) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0908) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.121) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(-0.1513) q[1];
cx q[4], q[1];
cx q[3], 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] 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": []} |
a38675d53d722227ef740a74a5426a27 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [98, 41], "expectation_value": -1.3802242158133216, "params": [[-0.052000000000000005, -0.0648, -0.06960000000000001, -0.08610000000000001], [0.054200000000000005, 0.06960000000000001, 0.0697, 0.0777]], "bitstrings": ["0011101", "1010110"], "total_optimization_steps": 10, "probabilities": [0.0173474701564720... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "1000111", "0001111", "1010101", "0011101"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[0];
rz(-0.052) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.052) q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(-0.052) q[4];
cx q[3], q[4];
cx q[4], q[1];
rz(-0.052) q[1];
cx q[4], q[1];
cx q[6], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
148c98be54f48380a1d59caea5fb9c95 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -1.00897701838591, "params": [[0.048600000000000004], [-0.0623]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 20, "probabilities": [0.005573061565082813, 0.006082850820285038], "optimization_time": 3.3629555702209473} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0243) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.1458) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.2187) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0243) q[5];
cx q[0], q[5];
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] 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": 7} | {"circuits": [], "gradients": []} |
c5d64ed1606b01b0449fbdbfaa48958e | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [50, 69], "expectation_value": -1.3588975570286639, "params": [[0.0592, 0.0709, 0.0594, 0.0733], [-0.0317, -0.06770000000000001, -0.054400000000000004, -0.0625]], "bitstrings": ["1001101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.017855029010390135, 0.019378155655531377], "optimization... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "1001101", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0592) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0592) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0592) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(0.0592) q[4];
cx q[2], q[4];
cx q[5], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
eee150816444ab6c0c032eb91552e06d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -19.118428919770466, "params": [[-0.0274, -0.016, 0.0717], [0.0526, 0.0663, -0.032100000000000004]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011183072200078874, 0.014476230967282845], "optimization_time": 5.392583131790161} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 6.5 * Z(0) + 14.5 * Z(3) + 16.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(-0.2466) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.2466) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.2466) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.2466) q[2];
cx q[0], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
8198021928293f705270038472b9e016 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [65, 1], "expectation_value": -5.022419222698805, "params": [[0.0787, 0.0627], [-0.0844, -0.0685]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0076190893399865145, 0.010591611538353477], "optimization_time": 4.359182596206665} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.1574) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1574) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0787) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-51701444481128926 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [4, 7], [2, 5], [5, 6, 7], [0, 1, 6], [0, 2], [0, 5], [0, 3]]} | {"states": [135, 142], "expectation_value": -2.2505139090857114, "params": null, "bitstrings": ["01111000", "01110001"], "total_optimization_steps": 69, "probabilities": [0.08798385849306917, 0.7060607703983373], "optimization_time": 100.18388938903809} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.2292) q[6];
cry(-1.0342) q[0], q[2];
cry(-1.0342) q[7], q[4];
cry(-1.0342) q[0], q[3];
ry(0.7714) q[0];
cry(-0.71) q[5], q[2];
ry(-0.446) q[3];
cry(0.3849) q[6], q[0];
cry(-0.5049) q[4], q[7]... | 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(1.2292) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
4574989881802094617 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 3, 5, 6], [0, 10, 4], [2, 3, 5, 6], [9, 3, 6], [1, 4, 9, 7], [8, 10, 4, 5], [8, 0, 6], [1, 2, 7], [8, 9, 3, 0], [8, 9, 5, 0], [1, 3, 9, 7], [1, 4, 5, 6], [10, 7], [9, 2, 4, 5], [0, 8, 1], [0, 1, 10, 2], [0, 1, 3, 7], [8, 9, 4, 1], [2, 4, 7], [1, 3, 4, 5]]... | {"states": [939, 1003], "expectation_value": -3.2376803368847393, "params": [[[0.16770000000000002, 0.0001, 0.005200000000000001, 0.008], [0.5717, -0.0028, 1.2801, 0.0032], [1.6045, 0.0036000000000000003, 0.0081, 0.0004], [0.3835, 0.0016, 1.5613000000000001, 0.0095], [1.596, 0.0048000000000000004, 0.0027, 0.002], [0.38... | 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.33333333333333... | 12 | 11 | 1 | {"smallest_eigenvalues": [-4.916666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.916666666666666, "smallest_bitstrings": ["10000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.1677) q[0];
rz(0.0001) q[0];
ry(0.5717) q[1];
rz(-0.0028) q[1];
ry(1.6045) q[2];
rz(0.0036) q[2];
ry(0.3835) q[3];
rz(0.0016) q[3];
ry(1.596) q[4];
rz(0.0048) q[4];
ry(0.3815) q[5];
rz(0.0026) q[5];
ry(0.9447) q[6];
rz(0.0063) q[6];
ry(0.4607) q[7];
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": []} |
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": [18, 3], "expectation_value": -18.42285369386236, "params": [[0.0317, -0.056, -0.030500000000000003, -0.0006000000000000001], [-0.0613, 0.052000000000000005, 0.060200000000000004, 0.0627]], "bitstrings": ["1101101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.019390608776662637, 0.0214793... | 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... | 16 | 7 | 4 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1744) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1744) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1744) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1744) q[3];
cx q[1], q[3];
cx q[0], q[3];
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[... | {"k": 5} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [22270, 22254], "expectation_value": -7.123470348556475, "params": [1.1862000000000001, 0.006500000000000001, 0.4647, 0.0095, 1.1802000000000001, -0.0055000000000000005, 1.1873, 0.0036000000000000003, 1.1938, 0.007, 0.6618, 0.0011, 1.1856, -0.0012000000000000001, 1.1596, 0.007500000000000001, 1.1895, 0.004, ... | 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)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(10) @ Z(4)) + 0.5 * ... | 6 | 15 | 1 | {"smallest_eigenvalues": [-8.74999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999957, "smallest_bitstrings": ["010100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.1862) q[0];
rz(0.0065) q[0];
rx(1.1802) q[1];
rz(-0.0055) q[1];
rx(1.1938) q[2];
rz(0.007) q[2];
rx(1.1856) q[3];
rz(-0.0012) q[3];
rx(1.1895) q[4];
rz(0.004) q[4];
rx(1.1844) q[5];
rz(0.0037) q[5];
rx(1.1963) q[6];
rz(0.003) q[6];
rx(1.1872) q[7];
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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
1933e8b73d4f27169594b5a37f23f4e2 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1396, 1397], "expectation_value": -2.3582690215827378, "params": [[[0.4807, -0.0091], [0.0864, -0.0034000000000000002], [0.7021000000000001, -0.0918], [0.2857, -0.1203], [0.7005, 0.1496], [0.2755, 0.2651], [0.38780000000000003, 0.2414], [0.057600000000000005, 0.33590000000000003], [0.1786, 0.4878], [0.68590... | 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(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.625, "smallest_bitstrings": ["10000101001", "10010001001", "01000101010", "01000011010", "0101000101... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4807) q[0];
ry(0.0864) q[1];
ry(0.7021) q[2];
ry(0.2857) q[3];
ry(0.7005) q[4];
ry(0.2755) q[5];
ry(0.3878) q[6];
ry(0.0576) q[7];
ry(0.1786) q[8];
ry(0.6859) q[9];
ry(0.2894) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx 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[... | null | {"circuits": [], "gradients": []} |
15100e222fa25033a8fce0705323829c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 20, "source": 1, "target": 6}, {"weight":... | {"states": [952, 440], "expectation_value": -76.1949454905062, "params": [1.2011, 0.263, 1.2029, 0.0086, 1.1877, 0.0896, 0.7585000000000001, 0.007200000000000001, 1.1958, 0.1111, 1.1888, 0.0014, 1.0412000000000001, -0.2519, 0.7851, 0.0077, 1.2011, 0.1323, 1.1885000000000001, 0.0055000000000000005, 1.1978, 0.1383, 1.188... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 21.0 * Z(2) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.0, "smallest_bitstrings": ["1001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2011) q[0];
rz(0.263) q[0];
rx(1.1877) q[1];
rz(0.0896) q[1];
rx(1.1958) q[2];
rz(0.1111) q[2];
rx(1.0412) q[3];
rz(-0.2519) q[3];
rx(1.2011) q[4];
rz(0.1323) q[4];
rx(1.1978) q[5];
rz(0.1383) q[5];
rx(1.1943) q[6];
rz(0.1536) q[6];
rx(1.0586) q[7];
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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
11e3db404ceab325d959c6faf4c54e2e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [43, 41], "expectation_value": -3.50111752315476, "params": [-0.0024000000000000002, 0.0014, 0.3038, 0.3049, -0.0102, -0.013800000000000002, 0.303, 0.3048, 0.038, 0.036500000000000005, 0.11660000000000001, 0.11910000000000001, 0.30510000000000004, 0.30060000000000003, 0.0009000000000000001, 0.000600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) | 14 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110100", "1011010", "1001110", "1010110", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.0024) q[0];
ry(0.3038) q[1];
ry(-0.0102) q[2];
ry(0.303) q[3];
ry(0.038) q[4];
ry(0.1166) q[5];
ry(0.3051) q[6];
crx(0.0713) q[6], q[0];
crx(0.2854) q[5], q[6];
crx(0.2607) q[4], q[5];
crx(0.1663) q[3], q[4];
crx(-0.1822) q[2], q[3];
crx(-0.005) q[1], 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] x11;
in... | null | {"circuits": [], "gradients": []} |
8c1c06822ec07a553a5922749cce1f78 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"sour... | {"states": [255, 248], "expectation_value": -0.7346738310928626, "params": [[0.046], [-0.0414]], "bitstrings": ["00000000", "00000111"], "total_optimization_steps": 10, "probabilities": [0.004980842346442222, 0.005081972423990436], "optimization_time": 2.561882734298706} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.23) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.23) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.046) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.23) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"node": 6} | {"circuits": [], "gradients": []} |
247ede82bbc36285f5765c81a230f94f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [0, 511], "expectation_value": -10.606333684345396, "params": [[[-0.0025, 1.6012000000000002], [0.0022, 0.0025], [0.0016, 0.0018000000000000002], [0.0016, 0.0018000000000000002], [0.0022, 0.002], [-0.0034000000000000002, 0.0023], [-0.0022, 0.0027], [0.0029000000000000002, -0.0027], [-0.0027, 0.0027]]], "bits... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + -1.5 * Z(7) + 1.0 * Z(6) + 1.0 * Z(8) | 15 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0025) q[0];
ry(0.0022) q[1];
ry(0.0016) q[2];
ry(0.0016) q[3];
ry(0.0022) q[4];
ry(-0.0034) q[5];
ry(-0.0022) q[6];
ry(0.0029) q[7];
ry(-0.0027) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"node": 9} | {"circuits": [], "gradients": []} |
888b5a08b75b032464d2b3e4c6358fb3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [231, 230], "expectation_value": -98.62193446069038, "params": [0.0149, -0.2363, 0.0076, -0.2508, 0.04, -0.24230000000000002, 0.0298, -0.2541, 0.5308, 0.0821, 0.5364, 0.020900000000000002, 0.5391, 0.10450000000000001, 0.5353, 0.020200000000000003, 0.5316000000000001, 0.08950000000000001, 0.5315, 0.0253, 0.00... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(0) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(9)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(9)) + 5.5 * (Z(8) @ Z(7)) + 20.5 * Z(2) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1100011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0149) q[0];
rz(-0.2363) q[0];
rx(0.04) q[1];
rz(-0.2423) q[1];
rx(0.5308) q[2];
rz(0.0821) q[2];
rx(0.5391) q[3];
rz(0.1045) q[3];
rx(0.5316) q[4];
rz(0.0895) q[4];
rx(0.0056) q[5];
rz(0.2835) q[5];
rx(0.0176) q[6];
rz(-0.2633) q[6];
rx(0.5289) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
26d400edae9380ebddd44e45014fda78 | 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": [1357, 1349], "expectation_value": -115.22595343462676, "params": [0.6990000000000001, 0.1612, 0.1516, 0.31720000000000004, 0.6979000000000001, 0.0709, 0.0006000000000000001, 0.382, 0.6998000000000001, 0.0058000000000000005, -0.0037, 0.44770000000000004, -0.00030000000000000003, 0.4419, 0.3718, 0.16340000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 1.0 * Z(1... | 18 | 11 | 4 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.5, "smallest_bitstrings": ["01010111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.699) q[0];
rz(0.1612) q[0];
rx(0.1516) q[1];
rz(0.3172) q[1];
rx(0.6979) q[2];
rz(0.0709) q[2];
rx(0.0006) q[3];
rz(0.382) q[3];
rx(0.6998) q[4];
rz(0.0058) q[4];
rx(-0.0037) q[5];
rz(0.4477) q[5];
rx(-0.0003) q[6];
rz(0.4419) q[6];
rx(0.3718) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
93db31296f7d5ce33b206de7cd778a2f | 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": [732, 728], "expectation_value": -121.31845835986522, "params": [0.1978, 0.6319, 1.3984, 0.31880000000000003, 0.0024000000000000002, 1.0134, 1.3973, 0.0081, 1.4011, -0.0114, 0.5948, -0.39980000000000004, 1.3909, -0.2041, 1.401, -0.0017000000000000001, 0.7774000000000001, 0.306, 0.0024000000000000002, 0.798, ... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(6) @ Z(1)) + 8.0 * (Z(3) @ Z(6)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 0.5 * Z(0) + 18.0 * Z(1) + 33.0 * ... | 16 | 11 | 2 | {"smallest_eigenvalues": [-145.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.0, "smallest_bitstrings": ["10100100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.1978) q[0];
rz(0.6319) q[0];
rx(1.3984) q[1];
rz(0.3188) q[1];
rx(0.0024) q[2];
rz(1.0134) q[2];
rx(1.3973) q[3];
rz(0.0081) q[3];
rx(1.4011) q[4];
rz(-0.0114) q[4];
rx(0.5948) q[5];
rz(-0.3998) q[5];
rx(1.3909) q[6];
rz(-0.2041) q[6];
rx(1.401) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [44, 172], "expectation_value": -2.3918775972101143, "params": [[[0.5009, -0.0207, 0.0091, 0.0055000000000000005], [0.40340000000000004, 0.2116, 0.4166, -0.2018], [0.0857, 0.20520000000000002, -0.0466, 0.2096], [-0.12100000000000001, 0.19410000000000002, 0.4918, 0.1262], [0.0823, -0.3803, 0.0511, -0.22740000... | 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(3) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 11 | 8 | 4 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.5009) q[0];
rz(-0.0207) q[0];
ry(0.4034) q[1];
rz(0.2116) q[1];
ry(0.0857) q[2];
rz(0.2052) q[2];
ry(-0.121) q[3];
rz(0.1941) q[3];
ry(0.0823) q[4];
rz(-0.3803) q[4];
ry(0.4896) q[5];
rz(0.178) q[5];
ry(-0.0035) q[6];
rz(0.4056) q[6];
ry(0.0723) q[7];
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": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [122, 121], "expectation_value": -13.096644581052578, "params": [[-0.0342, -0.0263], [0.0541, 0.0526]], "bitstrings": ["10000101", "10000110"], "total_optimization_steps": 10, "probabilities": [0.009098837688813434, 0.009668637458873574], "optimization_time": 4.135225534439087} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 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)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2736) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2736) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2736) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2736) q[3];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
fe37a95fb62cde91e69aee116b6773bd | 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": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -76.31607209159763, "params": [0.9779, 0.0031000000000000003, 3.0025, 0.0059, 3.0001, 0.0053, 2.9953000000000003, 0.0039000000000000003, 1.5673000000000001, 0.0047, 2.9958, 0.007200000000000001, 2.9939, 0.0038, 0.3845, 0.0088, 0.0023, 0.0009000000000000001, 0.0035, 0.00550000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9779) q[0];
rz(0.0031) q[0];
rx(3.0025) q[1];
rz(0.0059) q[1];
rx(3.0001) q[2];
rz(0.0053) q[2];
rx(2.9953) q[3];
rz(0.0039) q[3];
rx(1.5673) q[4];
rz(0.0047) q[4];
rx(2.9958) q[5];
rz(0.0072) q[5];
rx(2.9939) q[6];
rz(0.0038) q[6];
rx(0.3845) q[7];
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": []} |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -0.04789017711028544, "params": [[-0.0291], [0.0267]], "bitstrings": ["011110", "001110"], "total_optimization_steps": 10, "probabilities": [0.01586912014159015, 0.0159670395355558], "optimization_time": 1.2706739902496338} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0291) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0291) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0291) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0291) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0... | null | {"circuits": [], "gradients": []} |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -0.8758286650829095, "params": [[-0.051500000000000004], [0.0623]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 10, "probabilities": [0.021203527099275574, 0.021555577878287303], "optimization_time": 2.177826166152954} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.1545) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.2318) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.1803) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.3605) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.128... | 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": []} |
1d579e37a468bd880bcb1092848cc668 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [63, 1], "expectation_value": -0.11375734086443312, "params": [[0.0373], [-0.0381]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.008257927844084995, 0.008257927844084998], "optimization_time": 1.4083361625671387} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1111110", "1011010", "1111100", "1011000", "1111010", "1001010", "1111000", "1101000", "1001000", "11010... | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0373) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(-0.0373) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0559) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(-0.0746) q[2];
cx q[3], q[2];
cx q[1], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
33608a6bdc29d689d9048d5e37091322 | 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": 1, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": ... | {"states": [2048, 2047], "expectation_value": -26.506207698693494, "params": [[[-0.0102, 0.002], [-0.001, -0.0028], [-0.00030000000000000003, -0.0029000000000000002], [0.0068000000000000005, -0.0031000000000000003], [0.0034000000000000002, -0.0031000000000000003], [0.0115, -0.0031000000000000003], [-0.01, -0.0029000000... | -0.25 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -1.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -0.25 * (Z(10) @ Z(5)) + -1.25 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(4)) + -0.5 * (Z(1... | 15 | 12 | 3 | {"smallest_eigenvalues": [-27.0, -27.0, -27.0, -27.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -26.0, "smallest_bitstrings": ["100000000000", "100001000000", "100001000010", "100001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0102) q[0];
ry(-0.001) q[1];
ry(-0.0003) q[2];
ry(0.0068) q[3];
ry(0.0034) q[4];
ry(0.0115) q[5];
ry(-0.01) q[6];
ry(-0.0093) q[7];
ry(-0.004) q[8];
ry(-0.0041) q[9];
ry(-1.5098) q[10];
ry(0.0034) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | 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": []} |
fbc810d823c786f11446f413aea7702a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"s... | {"states": [8191, 255], "expectation_value": -34.002036517581956, "params": [[[0.0026000000000000003, 0.0001], [0.0027, 0.0073], [0.0024000000000000002, 0.005200000000000001], [0.0024000000000000002, 0.002], [1.5772000000000002, 0.0079], [0.0024000000000000002, 0.0035], [-0.0025, 0.007], [0.0024000000000000002, 0.0016]... | -3.0 * (Z(2) @ Z(4)) + -3.0 * (Z(0) @ Z(4)) + -2.5 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(5) @ Z(6)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + -2.... | 2 | 13 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.5, "smallest_bitstrings": ["1111100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0026) q[0];
rz(0.0001) q[0];
rx(0.0027) q[1];
rz(0.0073) q[1];
rx(0.0024) q[2];
rz(0.0052) q[2];
rx(0.0024) q[3];
rz(0.002) q[3];
rx(1.5772) q[4];
rz(0.0079) q[4];
rx(0.0024) q[5];
rz(0.0035) q[5];
rx(-0.0025) q[6];
rz(0.007) q[6];
rx(0.0024) q[7];
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[... | {"node": 0} | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [15, 7], "expectation_value": -0.5640004629321097, "params": [[[0.62, -0.13040000000000002], [0.6668000000000001, -0.1316], [0.7729, 0.0043], [0.8894000000000001, -0.0014], [0.8023, 0.0148], [0.7994, 0.0142]], [[0.6178, 0.0002], [0.6634, 0.0098], [0.7698, 0.0048000000000000004], [0.89, 0.0088], [0.8018000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.62) q[0];
rz(-0.1304) q[0];
rx(0.6668) q[1];
rz(-0.1316) q[1];
rx(0.7729) q[2];
rz(0.0043) q[2];
rx(0.8894) q[3];
rz(-0.0014) q[3];
rx(0.8023) q[4];
rz(0.0148) q[4];
rx(0.7994) q[5];
rz(0.0142) q[5];
rx(0.6178) q[0];
rz(0.0002) q[0];
rx(0.6634) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [371, 427], "expectation_value": -1.5657910227289094, "params": [[-0.0577, -0.0687, -0.061900000000000004], [0.06960000000000001, 0.0743, 0.07060000000000001]], "bitstrings": ["010001100", "001010100"], "total_optimization_steps": 10, "probabilities": [0.004492718793868308, 0.004492718793868312], "optimizati... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0577) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0577) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0577) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0577) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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],... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
f0c12db79dee0b687c7216d34d2c80e9 | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -5.801025960747375, "params": [-0.0031000000000000003, 0.7646000000000001, -0.0049, 0.8073, -0.56, -0.0006000000000000001, -0.0025, 0.8193, -0.0049, 0.7222000000000001, -0.0056, 0.7958000000000001, 1.0658, 0.0016, -0.0006000000000000001, 0.7099000000000001, -0.0008, 0.7759, -0.5... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 3 | 7 | 3 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0031) q[0];
rz(0.7646) q[0];
rx(-0.0049) q[1];
rz(0.8073) q[1];
rx(-0.56) q[2];
rz(-0.0006) q[2];
rx(-0.0025) q[3];
rz(0.8193) q[3];
rx(-0.0049) q[4];
rz(0.7222) q[4];
rx(-0.0056) q[5];
rz(0.7958) q[5];
rx(1.0658) q[6];
rz(0.0016) q[6];
crz(0.0073) 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": []} |
917f40919ed5cce8c36c9746617c7a98 | 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": 2, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 6}, {"weight": 19, "source": 2, "targ... | {"states": [241, 124], "expectation_value": -29.601408963903488, "params": [[0.015600000000000001, -0.0358, -0.0012000000000000001, 0.0723], [-0.0352, 0.065, 0.0614, -0.0195]], "bitstrings": ["100001110", "110000011"], "total_optimization_steps": 10, "probabilities": [0.006353485183033354, 0.0075111155261273], "optimiz... | 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(1) @ Z(5)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
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[5], q[2];
rz(0.1404) q[2];
cx q[5], q[2];
cx q[5], q[1];
rz(0.1404) q[1];
cx q[5], q[1];
cx q[2], q[1];
rz(0.1404) q[1];
cx q[2], q[1];
cx q[5], q[4];
rz(0.1404) q[4];
cx q[5], 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6446c2e39f9d792cb9f32c544e2de260 | 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": 4, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"weight": 15, "source": 2, "targ... | {"states": [252, 188], "expectation_value": -70.25661882716923, "params": [0.0032, 0.6582, 1.0655000000000001, 0.026600000000000002, 0.5404, 0.253, 1.0714000000000001, -0.0022, 1.0663, -0.0043, 1.0669, 0.0034000000000000002, 1.0706, -0.1834, 0.1683, -0.44970000000000004, 0.3299, 0.39990000000000003, 0.0015, 0.6709, 1.0... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.5 * Z(0) + 12.0 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0032) q[0];
rz(0.6582) q[0];
rx(1.0655) q[1];
rz(0.0266) q[1];
rx(0.5404) q[2];
rz(0.253) q[2];
rx(1.0714) q[3];
rz(-0.0022) q[3];
rx(1.0663) q[4];
rz(-0.0043) q[4];
rx(1.0669) q[5];
rz(0.0034) q[5];
rx(1.0706) q[6];
rz(-0.1834) q[6];
rx(0.1683) q[7];
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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [47070, 59325], "expectation_value": -11.509254691745959, "params": [[0.22560000000000002], [-0.3352]], "bitstrings": ["0100100000100001", "0001100001000010"], "total_optimization_steps": 40, "probabilities": [0.0007636307417080848, 0.0007636307417080849], "optimization_time": 80.53361344337463} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-15.999999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999948, "smallest_bitstrings": ["0001100001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.2256) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2256) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2256) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} |
024eb4eb919bdf65c57ab94cec1f06e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 21], "expectation_value": -1.5320876783935051, "params": [[0.0719, 0.0644, 0.0526, -0.0247], [-0.08270000000000001, -0.0736, -0.0616, -0.0269]], "bitstrings": ["1110010", "1101010"], "total_optimization_steps": 10, "probabilities": [0.015806218006744595, 0.016559284638784907], "optimization_time": 7.241... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0719) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0719) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0719) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0719) q[3];
cx q[1], q[3];
cx q[0], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
3670c7801b6cdd8a09a5039cdc5a60e0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [36, 37], "expectation_value": -1.9176180264957656, "params": [[0.0014, 0.4027, 0.2436, 0.2988, 0.4048, 0.0019, 0.4001], [0.0032, 0.40440000000000004, 0.3063, 0.2679, 0.40180000000000005, 0.002, 0.4035], [0.0024000000000000002, 0.3985, 0.2863, 0.35350000000000004, 0.4001, 0.002, 0.4063], [0.00170000000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(0) + -0.5 * Z(... | 10 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011010", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0014) q[0];
ry(0.4027) q[1];
ry(0.2436) q[2];
ry(0.2988) q[3];
ry(0.4048) q[4];
ry(0.0019) q[5];
ry(0.4001) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[6];
ry(0.0032) q[0];
ry(0.4044) q[1];
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[... | null | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [3309, 2931], "expectation_value": -1.6972934837161002, "params": [[-0.06380000000000001, -0.0689, -0.0495], [0.0698, 0.0723, 0.0631]], "bitstrings": ["001100010010", "010010001100"], "total_optimization_steps": 10, "probabilities": [0.0006016096820550221, 0.0006016096820550224], "optimization_time": 11.6183... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.0638) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0638) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0638) q[2];
cx q[0], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-2032701358618028654 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [1, 3], [0, 3]]} | {"states": [1, 14], "expectation_value": -0.02872565382207075, "params": [[0.0694], [-0.07010000000000001]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.06610555070004429, 0.06610555070004429], "optimization_time": 0.30516481399536133} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1110", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.0694) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(0.0694) q[1];
cx q[3], q[1];
cx q[3], q[0];
rz(0.0694) q[0];
cx q[3], q[0];
rz(0) q[3];
rz(0) q[2];
rz(0) q[1];
rz(0) q[0];
h q[0];
rz(-0.1402) q[0];
h q[0];
h q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
rz(x1) q[3];
rz(x1) q[2];
rz(x1) q[1];
... | null | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -1.2997902117914828, "params": [[0.0742, 0.067, 0.069, 0.078], [-0.0753, -0.0548, -0.053200000000000004, -0.062]], "bitstrings": ["110001", "010101"], "total_optimization_steps": 10, "probabilities": [0.029779727903636536, 0.02977972790363656], "optimization_time": 6.9027500152... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0742) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0742) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0742) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.0742) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0742... | 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": []} |
2ffc27a5b724099342a182a0eeedb400 | 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": [473, 217], "expectation_value": -77.37024824468594, "params": [-0.0019, 0.664, 0.5216000000000001, 0.23620000000000002, 0.9015000000000001, 0.014400000000000001, 0.9019, 0.15360000000000001, 0.2953, 0.3094, 0.8975000000000001, 0.0112, 0.8957, 0.15180000000000002, 0.32170000000000004, 0.314, 0.3647, 0.347400... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + 11.5 * Z(1) + 13.5 * Z(2) + 14.0 * Z(3) + 3.0 * Z(4) + 2... | 18 | 10 | 3 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.5, "smallest_bitstrings": ["1100100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0019) q[0];
rz(0.664) q[0];
rx(0.5216) q[1];
rz(0.2362) q[1];
rx(0.9015) q[2];
rz(0.0144) q[2];
rx(0.9019) q[3];
rz(0.1536) q[3];
rx(0.2953) q[4];
rz(0.3094) q[4];
rx(0.8975) q[5];
rz(0.0112) q[5];
rx(0.8957) q[6];
rz(0.1518) q[6];
rx(0.3217) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
0171c2c3e71893b20d430c7580c737fd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [7594, 7598], "expectation_value": -4.064043477306559, "params": [[[3.1619, 0.00030000000000000003], [3.1609000000000003, 0.0054], [3.1594, 0.0073], [-0.0019, 0.0079], [3.1603000000000003, 0.0023], [3.1611000000000002, 0.0024000000000000002], [0.0024000000000000002, 0.003], [3.1609000000000003, 0.00900000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.875, -4.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.875, "smallest_bitstrings": ["0001001001100", "0001001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(3.1619) q[0];
rz(0.0003) q[0];
rx(3.1609) q[1];
rz(0.0054) q[1];
rx(3.1594) q[2];
rz(0.0073) q[2];
rx(-0.0019) q[3];
rz(0.0079) q[3];
rx(3.1603) q[4];
rz(0.0023) q[4];
rx(3.1611) q[5];
rz(0.0024) q[5];
rx(0.0024) q[6];
rz(0.003) q[6];
rx(3.1609) q[7];
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": []} |
159cd19d829ee4ab847c9545b38e61cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [491, 363], "expectation_value": -1.9545695312929268, "params": [0.9772000000000001, 0.0056, 2.2085, 0.0029000000000000002, 1.5276, 0.004, 2.2022, 0.0094, 1.741, 0.0086, 0.42110000000000003, 0.0034000000000000002, 2.205, 0.0082, 0.002, 0.008, 2.1982, 0.0082, 2.2092, 0.0005, 0.0063, 0.005, 0.00170000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(7)... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010010100", "1000001110", "0011000110", "1000110100", "0011010100", "1000010101", "1000011100", "0010110100", "0100110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9772) q[0];
rz(0.0056) q[0];
rx(2.2085) q[1];
rz(0.0029) q[1];
rx(1.5276) q[2];
rz(0.004) q[2];
rx(2.2022) q[3];
rz(0.0094) q[3];
rx(1.741) q[4];
rz(0.0086) q[4];
rx(0.4211) q[5];
rz(0.0034) q[5];
rx(2.205) q[6];
rz(0.0082) q[6];
rx(0.002) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1673f94d6d7b328460e91313ffa1d801 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [374, 310], "expectation_value": -77.58419816291024, "params": [0.002, 0.24830000000000002, -0.0085, 0.2441, 0.3987, 0.0161, 0.395, 0.0048000000000000004, -0.0142, 0.2245, -0.0125, 0.2291, 0.17830000000000001, -0.08710000000000001, 0.1771, -0.08610000000000001, 0.398, -0.012100000000000001, 0.3895, -0.012, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(9)) + 5.5 * Z(1) + -3.5 * Z(0) + -2.5 * Z(2) + 10.0 * Z(4) + 9... | 7 | 10 | 4 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["1011001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.002) q[0];
rz(0.2483) q[0];
rx(0.3987) q[1];
rz(0.0161) q[1];
rx(-0.0142) q[2];
rz(0.2245) q[2];
rx(0.1783) q[3];
rz(-0.0871) q[3];
rx(0.398) q[4];
rz(-0.0121) q[4];
rx(0.3886) q[5];
rz(-0.0001) q[5];
rx(0.1731) q[6];
rz(0.1208) q[6];
rx(0.3936) q[7];
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... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
a645ae3643161db4224eacb5097991ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [883, 891], "expectation_value": -2.3975389333480184, "params": [0.056400000000000006, 0.055, 0.0656, 0.06670000000000001, 1.3999000000000001, 1.3999000000000001, 1.4053, 1.4025, 0.3504, 0.35500000000000004, 1.4005, 1.4067, 1.3955, 1.4015, 1.4013, 1.3969, 0.8592000000000001, 0.8410000000000001, 0.3603, 0.351... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 31, "first_excited_energy": -2.5, "smallest_bitstrings": ["100001001001",... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0564) q[0];
ry(0.0656) q[1];
ry(1.3999) q[2];
ry(1.4053) q[3];
ry(0.3504) q[4];
ry(1.4005) q[5];
ry(1.3955) q[6];
ry(1.4013) q[7];
ry(0.8592) q[8];
ry(0.3603) q[9];
ry(1.3978) q[10];
ry(1.4034) q[11];
crz(0.0032) q[11], q[0];
crz(0.0051) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
421dc0e0e103964520cbb860ec0bda39 | 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": 5, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [378, 218], "expectation_value": -12.725432300720417, "params": [[0.038400000000000004], [-0.07970000000000001]], "bitstrings": ["010000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004301734637635444, 0.004961305772867234], "optimization_time": 2.1028950214385986} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.3456) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3456) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3456) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3456) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
504aff5065c6904e02914f6b44da8a9c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -2.625328487836539, "params": [[0.0698, 0.0673, 0.0553], [-0.07390000000000001, -0.0653, -0.0574]], "bitstrings": ["111100", "110000"], "total_optimization_steps": 10, "probabilities": [0.03918441750813127, 0.04067263329173117], "optimization_time": 3.4760069847106934} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.1745) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0698) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.1396) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.2792) q[5];
cx q[0], q[5];
cx q[4], q[5];
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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
2167743483924607683 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5], [2, 3, 7], [4, 7], [0, 1], [1, 2, 6, 7]]} | {"states": [85, 87], "expectation_value": -2.0444621947440758, "params": [[[1.5729, -1.5732000000000002], [1.5731000000000002, 1.5731000000000002], [1.5728, 1.5732000000000002], [1.5729, 1.5729], [1.5728, 1.5682], [1.5732000000000002, 1.5728], [1.5682, 0.0682], [1.5736, 1.5737]]], "bitstrings": ["10101010", "10101000"]... | 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.0... | 15 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.083333333333333, "smallest_bitstrings": ["10000101", "10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.5729) q[0];
ry(1.5731) q[1];
ry(1.5728) q[2];
ry(1.5729) q[3];
ry(1.5728) q[4];
ry(1.5732) q[5];
ry(1.5682) q[6];
ry(1.5736) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
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];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x0) q[3];
ry(x2) q[4];
ry(x3) q[5];
ry... | null | {"circuits": [], "gradients": []} |
dc72488dd6090670edbeccc77e6da35f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [16, 1], "expectation_value": -4.203989617693013, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 12, "probabilities": [0.12843648895208365, 0.8520018438428943], "optimization_time": 6.293170690536499} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5706) q[1];
ry(-1.5486) q[3];
ry(-1.5681) q[2];
cry(-1.4449) q[4], q[0];
ry(1.218) q[4];
ry(-0.7109) q[0];
cry(-0.0222) q[4], q[3];
cry(-0.0142) q[0], q[3];
cry(-0.0002) q[4], q[1];
cry(-0.0027) q[4], q[2];
c[0] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840993, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 2.1514761447906494} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[2];
ry(0.6944) q[1];
ry(-0.451) q[2];
cry(-0.2383) q[2], q[1];
cry(-0.112) q[1], q[0];
cry(-0.0349) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... |
9529baf1c272123f159cd9ccf2735587 | 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": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [19, 63], "expectation_value": -3.893450485743458, "params": null, "bitstrings": ["1101100", "1000000"], "total_optimization_steps": 47, "probabilities": [0.1570018601144807, 0.523779836596342], "optimization_time": 47.03435230255127} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5158) q[4], q[1];
cry(1.2167) q[1], q[4];
cry(1.5354) q[2], q[5];
cry(1.2281) q[5], q[2];
cry(1.4175) q[5], q[6];
cry(-1.4856) q[6], q[0];
cry(1.1156) q[1], q[3];
ry(-0.4438) q[3];
cry(0.6835) q[4],... | 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(1.5158) q[4], 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]... |
50803b752054f0512687e537ee7368f9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [0, 20], "expectation_value": -3.4999057430342013, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 15, "probabilities": [1.7262809281757173e-05, 0.9999394817654882], "optimization_time": 7.552781581878662} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[1];
ry(-1.5681) q[4];
ry(-1.4449) q[3];
ry(1.4417) q[2];
ry(1.4417) q[0];
cry(-0.1259) q[2], q[3];
cry(0.1217) q[2], q[0];
cry(0.1214) q[0], q[2];
cry(-0.0027) q[2], q[4];
cry(-0.0027) q[2], q[1];
c[0] = me... | 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(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
422319ba04d136ad73513dac1d0065c7 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1783, 1767], "expectation_value": -12.31486294001486, "params": [0.0027, 0.7567, 0.9872000000000001, 0.0032, 0.9918, 0.0017000000000000001, 0.0028, 0.7429, 1.0001, -0.0009000000000000001, 0.9864, 0.0001, 0.9822000000000001, -0.1111, 0.5744, -0.2087, 0.0023, 0.7503000000000001, 0.9983000000000001, 0.0033, 1.... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 18 | 12 | 3 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0027) q[0];
rz(0.7567) q[0];
rx(0.9872) q[1];
rz(0.0032) q[1];
rx(0.9918) q[2];
rz(0.0017) q[2];
rx(0.0028) q[3];
rz(0.7429) q[3];
rx(1.0001) q[4];
rz(-0.0009) q[4];
rx(0.9864) q[5];
rz(0.0001) q[5];
rx(0.9822) q[6];
rz(-0.1111) q[6];
rx(0.5744) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4933592906219d9862808ddd29c9b319 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [340, 372], "expectation_value": -97.69527476391819, "params": [[[0.4088, 0.1032], [0.8995000000000001, 0.3033], [0.0952, 0.325], [0.8994000000000001, 0.7325], [0.48860000000000003, 0.7731], [0.8926000000000001, 0.8148000000000001], [0.0047, 0.8196], [0.8849, 0.082], [0.8003, 0.0367], [-0.07590000000000001, ... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(3)) + 15.5 * Z(3) + 0.5 * Z(2) + 14.5 * Z(1) + -7.0 * Z(0) + 1... | 15 | 10 | 3 | {"smallest_eigenvalues": [-124.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.5, "smallest_bitstrings": ["1010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4088) q[0];
ry(0.8995) q[1];
ry(0.0952) q[2];
ry(0.8994) q[3];
ry(0.4886) q[4];
ry(0.8926) q[5];
ry(0.0047) q[6];
ry(0.8849) q[7];
ry(0.8003) q[8];
ry(-0.0759) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
9b4be5d748a292e481722f1ef8f75020 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [45, 13], "expectation_value": -3.925142417377187, "params": [[-0.1618, -0.11080000000000001], [0.1705, 0.1738]], "bitstrings": ["11010010", "11110010"], "total_optimization_steps": 20, "probabilities": [0.016536784194805497, 0.022894662048081944], "optimization_time": 4.787356853485107} | -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 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.1618) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.1618) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(-0.1294) q[1];
cx q[0], q[1];
cx q[4], q[5];
rz(-0.1618) q[5];
cx q[4], q[5];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [350, 413], "expectation_value": -1.5483103544073247, "params": [[-0.0443, -0.0519, -0.039, -0.051000000000000004], [0.0415, 0.0632, 0.053200000000000004, 0.060000000000000005]], "bitstrings": ["010100001", "001100010"], "total_optimization_steps": 10, "probabilities": [0.0044376676676031405, 0.0044376676676... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0443) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0443) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0443) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0443) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
-2074563811701182950 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 6, 7], [2, 3, 4, 5], [1, 3], [2, 3, 4, 6], [0, 4]]} | {"states": [231, 183], "expectation_value": -0.7819577690785702, "params": [[-0.45320000000000005], [0.4354]], "bitstrings": ["00011000", "01001000"], "total_optimization_steps": 50, "probabilities": [0.013120093809226227, 0.013198077986702032], "optimization_time": 2.4640097618103027} | 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["01001000", "11100000", "10010001", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(-0.2266) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(-0.1511) q[6];
cx q[4], q[6];
cx q[2], q[6];
rz(-0.1511) q[6];
cx q[2], q[6];
cx q[4], q[7];
rz(-0.0755) q[7];
cx q[4], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4],... | null | {"circuits": [], "gradients": []} |
2e5dd8b9b1358cbf1942ca7a552d2e2f | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "... | {"states": [0, 4095], "expectation_value": -43.08683310338215, "params": [[[0.0032, 1.6], [0.0021000000000000003, 0.0015], [0.0017000000000000001, 0.002], [0.0033, 0.0023], [0.0035, -0.0031000000000000003], [0.0024000000000000002, 0.0025], [0.003, 0.0022], [0.0026000000000000003, -0.0026000000000000003], [0.0023, 0.003... | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -4.0 * (Z(5) @ Z(3)) + -4.5 * (Z(5) @ Z(0)) + -4.0 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(0)) + 1.0 * (Z(7) @ Z(4)) + -4.5 * (Z(7) @ Z(5)) + -3.0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0032) q[0];
ry(0.0021) q[1];
ry(0.0017) q[2];
ry(0.0033) q[3];
ry(0.0035) q[4];
ry(0.0024) q[5];
ry(0.003) q[6];
ry(0.0026) q[7];
ry(0.0023) q[8];
ry(0.0017) q[9];
ry(0.0026) q[10];
ry(0.0022) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 8} | {"circuits": [], "gradients": []} |
6f98ac79783fe743485024afff5419b3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "sourc... | {"states": [430, 234], "expectation_value": -17.59291005226546, "params": [[-0.0178, -0.0193], [0.0426, 0.07010000000000001]], "bitstrings": ["001010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.004770256225016048, 0.0059185810438670714], "optimization_time": 3.519746780395508} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.178) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.178) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.178) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.178) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
68c7da6fdb681219b05150137870d7db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -4.7499873347537624, "params": null, "bitstrings": ["1010", "1110"], "total_optimization_steps": 8, "probabilities": [1.2623559847835846e-05, 0.9999873681076068], "optimization_time": 2.963493585586548} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.5706) q[3];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.4449) q[1];
cry(-0.1188) q[3], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -0.05806358721252339, "params": [[0.0211], [-0.0263]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01604197293070865, 0.016076880618637348], "optimization_time": 1.3924777507781982} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0211) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.0316) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-0.0633) q[1];
cx q[5], q[1];
cx q[4], q[2];
rz(-0.0844) q[2];
cx q[4], q[2];
cx q[1], 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
e187371d430b945e0e1d69926f02e89f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [7423, 6655], "expectation_value": -54.72023956083385, "params": [[0.0222, 0.049600000000000005, 0.1275, 0.1854], [-0.6976, -0.398, -0.1787, -0.1495]], "bitstrings": ["110001100000000", "110011000000000"], "total_optimization_steps": 100, "probabilities": [0.015269050661567807, 0.015269050661567809], "optimi... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 1 | 15 | 4 | {"smallest_eigenvalues": [-59.83333333333255], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.833333333330536, "smallest_bitstrings": ["110011000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[2], q[7];
rz(-0.0222) q[7];
cx q[2], q[7];
cx q[2], q[3];
rz(0.0444) q[3];
cx q[2], q[3];
cx q[7], q[3];
rz(-0.0444) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
1ded08f6529a91a75a516e90939bacd1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 306], "expectation_value": -2.710340427227036, "params": [0.61, -0.002, 0.6076, 0.0033, 0.5974, -0.003, 0.5604, 0.007200000000000001, 0.5312, -0.0022, 0.3793, 0.0004, 0.6059, 0.0029000000000000002, 0.599, 0.0037, 0.6065, 0.0007, 0.6026, 0.0097, 0.5092, 0.0027, 0.3138, 0.0024000000000000002, 0.53160000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["110011100", "110011010", "011011100", "011001101", "001101101", "001100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.61) q[0];
rz(-0.002) q[0];
rx(0.5974) q[1];
rz(-0.003) q[1];
rx(0.5312) q[2];
rz(-0.0022) q[2];
rx(0.6059) q[3];
rz(0.0029) q[3];
rx(0.6065) q[4];
rz(0.0007) q[4];
rx(0.5092) q[5];
rz(0.0027) q[5];
rx(0.5316) q[6];
rz(-0.0021) q[6];
rx(0.6056) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fcbb218df226fcf3e63ace465c64eb26 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [42581, 43605], "expectation_value": -2.017603685278429, "params": [0.5356000000000001, 0.5291, -0.0004, 0.0053, 0.5331, 0.5213, -0.0097, 0.0094, 0.762, 0.6559, 0.46180000000000004, 0.4746, 0.5386000000000001, 0.527, -0.0112, 0.0187, 0.007, 0.005, 0.5316000000000001, 0.5266000000000001, -0.0109, 0.0041, 0.52... | 0.25 * (Z(0) @ Z(1)) + -0.0009297520661157026 * (Z(2) @ Z(0)) + -0.0009297520661157026 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0009297520661157026 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0009297520661157026 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008... | 13 | 16 | 3 | {"smallest_eigenvalues": [-2.0229338842974958], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229338842974673, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.5356) q[0];
ry(-0.0004) q[1];
ry(0.5331) q[2];
ry(-0.0097) q[3];
ry(0.762) q[4];
ry(0.4618) q[5];
ry(0.5386) q[6];
ry(-0.0112) q[7];
ry(0.007) q[8];
ry(0.5316) q[9];
ry(-0.0109) q[10];
ry(0.5272) q[11];
ry(0.0023) q[12];
ry(0.5318) q[13];
ry(0.0007) 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] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [0, 507], "expectation_value": -5.504236519566396, "params": [0.3844, 0.8425, -0.078, 0.48610000000000003, 0.4138, 0.8197, -0.3594, 0.8416, -0.3815, 0.6588, -0.06960000000000001, 0.802, -0.4217, 0.7211000000000001, 0.253, 0.6937, -0.4449, 0.8511000000000001, 0.381, 0.7029000000000001, -0.4546, 0.8791, 0.3807... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 6 | 9 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3844) q[0];
rz(0.8425) q[0];
rx(0.4138) q[1];
rz(0.8197) q[1];
rx(-0.3815) q[2];
rz(0.6588) q[2];
rx(-0.4217) q[3];
rz(0.7211) q[3];
rx(-0.4449) q[4];
rz(0.8511) q[4];
rx(-0.4546) q[5];
rz(0.8791) q[5];
rx(0.3733) q[6];
rz(0.866) q[6];
rx(-0.5312) q[7];
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": 7} | {"circuits": [], "gradients": []} |
97aa58ef0b431934bfaa14698e7612e3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 29], "expectation_value": -4.499899063456086, "params": null, "bitstrings": ["000110", "100010"], "total_optimization_steps": 27, "probabilities": [1.6414457491183143e-05, 0.9999303761353588], "optimization_time": 18.44847798347473} | 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 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[0];
ry(1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[1];
ry(1.4417) q[3];
cry(-0.1259) q[3], q[0];
cry(0.1217) q[5], q[1];
cry(0.1216) q[1], q[3];
cry(0.1188) q[1], q[2];
cry(0.1186)... | 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[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... |
d67dce3f5139cf39967f12d8ad7a1f95 | 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": 13, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "ta... | {"states": [250, 234], "expectation_value": -3.619793989994903, "params": [[-0.0324], [0.0257]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.002419077667757944, 0.002613710058997507], "optimization_time": 3.567392110824585} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 9.5 * Z(0) + 11.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.2916) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2916) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2916) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2916) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
e0b9c24fb45ae4a4b516382818d3356a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 888], "expectation_value": -14.333385260576858, "params": [-0.5255000000000001, -0.062400000000000004, 0.5599000000000001, 0.0026000000000000003, 0.799, 1.123, -0.2559, 0.004, -0.0022, 1.5362, 0.0021000000000000003, 0.0086, 0.8438, 0.8328, -0.38280000000000003, 0.0091, 0.8954000000000001, 0.5381, -0.5849... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.5255) q[0];
rz(-0.0624) q[0];
rx(0.799) q[1];
rz(1.123) q[1];
rx(-0.0022) q[2];
rz(1.5362) q[2];
rx(0.8438) q[3];
rz(0.8328) q[3];
rx(0.8954) q[4];
rz(0.5381) q[4];
rx(-0.8794) q[5];
rz(0.6273) q[5];
rx(-0.7208) q[6];
rz(0.6085) q[6];
rx(-0.0034) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
266260d621043cabf37512f90b4b26ac | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [102, 86], "expectation_value": -4.9991283032519105, "params": null, "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 36, "probabilities": [0.06552828227119237, 0.9338519872382248], "optimization_time": 38.6616268157959} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[3];
ry(-1.5681) q[6];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4449) q[5];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[2];
cry(-0.3789) q[0], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6632099811496938244 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [0, 2], [0, 4], [0, 1], [2, 4]]} | {"states": [14, 15], "expectation_value": -0.006183345386289146, "params": [[[1.502, 0.0004], [1.6299000000000001, 0.009600000000000001], [1.6207, 0.0063], [1.6347, 0.0058000000000000005], [1.597, 0.0047]]], "bitstrings": ["10001", "10000"], "total_optimization_steps": 170, "probabilities": [0.03846828048495339, 0.0405... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["10000", "10001", "10100", "01111", "01110", "01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(1.502) q[0];
rz(0.0004) q[0];
rx(1.6299) q[1];
rz(0.0096) q[1];
rx(1.6207) q[2];
rz(0.0063) q[2];
rx(1.6347) q[3];
rz(0.0058) q[3];
rx(1.597) q[4];
rz(0.0047) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = m... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
-8266188259455972362 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 1], [1, 2], [4, 6]]} | {"states": [89, 83], "expectation_value": -1.8391930009208826, "params": null, "bitstrings": ["0100110", "0101100"], "total_optimization_steps": 49, "probabilities": [0.050129494132700486, 0.7317076875442983], "optimization_time": 43.47052621841431} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 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": ["0101100", "0100011", "1011100", "0100110", "1011001", "0101001", "1010011", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[2], q[1];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[6], q[4];
ry(0.7003) q[2];
cry(-0.7092) q[0], q[1];
cry(1.1516) q[2], q[0];
ry(0.7003) q[6];
ry(0.7003) q[5];
ry(-0.4549) q[3];
ry(-0.4549)... | 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[2], 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... |
df291902c871f6dbb60c148e9571c06f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target":... | {"states": [254, 510], "expectation_value": -17.467827875157234, "params": null, "bitstrings": ["100000001", "000000001"], "total_optimization_steps": 100, "probabilities": [0.10638938737888678, 0.27958069542595476], "optimization_time": 265.0359058380127} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(3)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5708) q[2], q[0];
cry(1.4894) q[0], q[4];
cry(0.236) q[4], q[6];
cry(0.096) q[0], q[6];
ry(-0.3045) q[2];
cry(0.2596) q[4], q[2];
cry(0.0332) q[0], q[2];
ry(0.1168) q[6];
cry(0.5779)... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[2], 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... |
-3806175369360907504 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 10, 7], [1, 4, 7, 8, 10], [3, 4, 6, 7, 8, 10], [0, 5, 7], [9, 2, 3, 5], [0, 3, 4, 5, 8, 9, 10], [2, 7], [2, 3, 4, 6, 8, 9, 10], [1, 3, 4, 7, 8], [3, 4, 5, 7, 10], [0, 2, 5, 8, 9], [0, 1, 5, 6], [1, 5, 8, 9, 10]]} | {"states": [1509, 2021], "expectation_value": -2.508998684350289, "params": [1.5532000000000001, 1.5837, 0.6311, 0.6897, 0.9129, 0.9292, 1.3111000000000002, 1.8321, 1.5991, 1.5343, 1.7147000000000001, 1.3900000000000001, 1.8833000000000002, 1.4262000000000001, 0.0806, 0.099, 1.582, 1.5549000000000002, 1.440200000000000... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.18333333333333335 * (Z(10) @ Z(1)) + 0.10714285714285714 * (Z(10) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(10)) + 0.1 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.18095238095238098 * (Z(4) @ Z(10)) + 0.18... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.1166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.016666666666667, "smallest_bitstrings": ["00000011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5532) q[0];
ry(0.6311) q[1];
ry(0.9129) q[2];
ry(1.3111) q[3];
ry(1.5991) q[4];
ry(1.7147) q[5];
ry(1.8833) q[6];
ry(0.0806) q[7];
ry(1.582) q[8];
ry(1.4402) q[9];
ry(1.4949) q[10];
crx(0.9347) q[10], q[0];
crx(1.0951) q[9], q[10];
crx(-0.0772) q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
94b4685949b0232e6f45bdcd5b80e7ab | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [54, 58], "expectation_value": -4.999898992057627, "params": null, "bitstrings": ["1001001", "1000101"], "total_optimization_steps": 33, "probabilities": [1.634968701396955e-05, 0.9999303728259872], "optimization_time": 26.035645246505737} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[0];
ry(-1.5681) q[6];
ry(-1.4449) q[4];
ry(1.4449) q[1];
ry(1.4449) q[5];
ry(1.4417) q[3];
ry(1.4417) q[2];
cry(-0.1259) q[3], q[4];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[3];
cry(0.118... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
3f94dd6ecbd55419246df23f10ba4026 | 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": [45, 47], "expectation_value": -54.188442757726904, "params": [[[1.5728, 1.5678], [-1.5682, 1.5679], [1.5732000000000002, 1.5733000000000001], [1.5729, 1.5732000000000002], [1.5732000000000002, 1.5725], [1.5725, -0.6379], [1.5736, 0.0826], [1.5685, 1.5735000000000001]]], "bitstrings": ["11010010", "11010000"... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(0) @ Z(5)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(7)) + 16.0 * Z(2) + 2.0 * Z(1) + 4.0 * Z(3) + 9.5 * Z(4) + 6.5 * Z(5) + 4.5 * Z(0) + 15.5 * Z(7) + 6.5 * Z(6) | 15 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["11010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.5728) q[0];
ry(-1.5682) q[1];
ry(1.5732) q[2];
ry(1.5729) q[3];
ry(1.5732) q[4];
ry(1.5725) q[5];
ry(1.5736) q[6];
ry(1.5685) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
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];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-561865825961081192 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 6], [0, 1, 2, 5, 6, 7], [4, 5, 7], [2, 3, 5, 6], [1, 3, 5, 6], [0, 1, 2, 3, 4, 8], [0, 1, 2, 4, 6, 7], [8, 1, 4, 6], [1, 2, 3, 5], [8, 0, 3, 5], [0, 3, 7], [8, 7]]} | {"states": [381, 349], "expectation_value": -2.682886434831212, "params": [2.287, 0.8510000000000001, 0.0179, -0.0119, 1.6343, 1.5221, 2.6637, 1.8359, 1.5676, 1.5699, 1.5333, 1.6153000000000002, 1.5742, 1.5742, 1.6628, 1.4651, 1.5679, 1.5677, 0.001, 2.2411000000000003, 0.0026000000000000003, -0.0028, -0.5753, 0.0069000... | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(1)) + 0.31666666666666665 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.06666666... | 14 | 9 | 1 | {"smallest_eigenvalues": [-2.7166666666666663, -2.7166666666666663], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.683333333333333, "smallest_bitstrings": ["010100010", "000110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(2.287) q[0];
ry(0.0179) q[1];
ry(1.6343) q[2];
ry(2.6637) q[3];
ry(1.5676) q[4];
ry(1.5333) q[5];
ry(1.5742) q[6];
ry(1.6628) q[7];
ry(1.5679) q[8];
crx(0.001) q[8], q[0];
crx(-1.1721) q[7], q[8];
crx(-0.0018) q[6], q[7];
crx(1.0179) q[5], q[6];
crx(0.0029)... | 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": []} |
1408358734701937150 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10], [2, 11], [3, 11], [8, 7], [9, 11, 5, 7], [0, 10, 3, 6], [10, 11], [11, 6], [10, 2, 5, 6], [3, 4], [9, 10, 2, 5], [1, 3, 6], [9, 3, 7], [9, 6, 7], [8, 2]]} | {"states": [764, 732], "expectation_value": -5.106440787777514, "params": [-0.0132, 0.0173, 2.7254, -0.0032, 2.7995, 0.9132, -0.0021000000000000003, 0.8046000000000001, 2.4926, 0.0028, 2.7941000000000003, 0.0037, 2.7972, 0.812, 2.7412, 0.0028, 2.7745, 0.0033, 2.8048, 0.0016, 0.0879, 0.7174, -0.0199, 0.0002, 2.7626, -2.... | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(10) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(10)... | 4 | 12 | 1 | {"smallest_eigenvalues": [-5.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.416666666666665, "smallest_bitstrings": ["110100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0132) q[0];
rz(0.0173) q[0];
rx(2.7254) q[1];
rz(-0.0032) q[1];
rx(2.7995) q[2];
rz(0.9132) q[2];
rx(-0.0021) q[3];
rz(0.8046) q[3];
rx(2.4926) q[4];
rz(0.0028) q[4];
rx(2.7941) q[5];
rz(0.0037) q[5];
rx(2.7972) q[6];
rz(0.812) q[6];
rx(2.7412) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 56], "expectation_value": -0.1210403735469342, "params": [[-0.0135, 0.054200000000000005], [0.034800000000000005, -0.038900000000000004]], "bitstrings": ["011101", "000111"], "total_optimization_steps": 10, "probabilities": [0.016274874748062225, 0.01653574856789311], "optimization_time": 2.844655990600... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0135) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0135) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0135) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0135) q[1];
cx q[3], q[1];
cx q[3], 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] 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 ... | null | {"circuits": [], "gradients": []} |
602e7e43551da616abe4c4df4831fe40 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [111, 109], "expectation_value": -65.22356556274454, "params": [0.3542, 0.26480000000000004, 0.7906000000000001, -0.015600000000000001, 0.7903, 0.1635, 0.1507, 0.35450000000000004, 0.7859, -0.0027, 0.7923, 0.0383, 0.38820000000000005, 0.1885, 0.7879, 0.06470000000000001, 0.34690000000000004, 0.2556, 0.7939, ... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z... | 18 | 8 | 4 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3542) q[0];
rz(0.2648) q[0];
rx(0.7906) q[1];
rz(-0.0156) q[1];
rx(0.7903) q[2];
rz(0.1635) q[2];
rx(0.1507) q[3];
rz(0.3545) q[3];
rx(0.7859) q[4];
rz(-0.0027) q[4];
rx(0.7923) q[5];
rz(0.0383) q[5];
rx(0.3882) q[6];
rz(0.1885) q[6];
rx(0.7879) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
3796afa0473620b48d81bea69c86f42d | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, ... | {"states": [963, 995], "expectation_value": -3.6142008086421513, "params": [-0.0004, 0.0066, 0.3902, 0.3614, 0.3729, 0.37720000000000004, 0.369, 0.36920000000000003, 0.3788, 0.3819, 0.2692, 0.2677, 0.0017000000000000001, 0.0012000000000000001, 0.0079, 0.0032, 0.0041, 0.003, 0.39540000000000003, 0.38580000000000003, 0.3... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 11 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["10000011100", "10100101000", "11000010100", "10000101010", "11000100010", "10000101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0004) q[0];
ry(0.3902) q[1];
ry(0.3729) q[2];
ry(0.369) q[3];
ry(0.3788) q[4];
ry(0.2692) q[5];
ry(0.0017) q[6];
ry(0.0079) q[7];
ry(0.0041) q[8];
ry(0.3954) q[9];
ry(0.3915) q[10];
crx(-0.0119) q[10], q[0];
crx(0.2186) q[9], q[10];
crx(-0.21) q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
ed01866ce53def5a36a69737a2fd120b | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [6427, 6425], "expectation_value": -5.113306370594681, "params": [-0.0047, -0.0022, -0.0024000000000000002, -0.002, 0.9067000000000001, 0.9087000000000001, 0.8975000000000001, 0.8987, -0.0026000000000000003, -0.0018000000000000002, -0.0008, -0.0047, 0.9053, 0.9106000000000001, -0.0024000000000000002, -0.0001... | 0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(11) @ Z(12)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(2) @ Z(... | 13 | 15 | 1 | {"smallest_eigenvalues": [-10.333333333333238], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.33333333333317, "smallest_bitstrings": ["110011011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(-0.0047) q[0];
ry(-0.0024) q[1];
ry(0.9067) q[2];
ry(0.8975) q[3];
ry(-0.0026) q[4];
ry(-0.0008) q[5];
ry(0.9053) q[6];
ry(-0.0024) q[7];
ry(-0.0029) q[8];
ry(0.6851) q[9];
ry(0.9069) q[10];
ry(0.9017) q[11];
ry(-0.0029) q[12];
ry(0.7421) q[13];
ry(0.8624... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
82f2332f741b5ec7aa4bb36843cd0c9a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 41], "expectation_value": -4.499937480746297, "params": null, "bitstrings": ["001110", "010110"], "total_optimization_steps": 26, "probabilities": [1.635691870469763e-05, 0.9999687410148395], "optimization_time": 20.93436288833618} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[3];
ry(-1.5681) q[4];
ry(-1.4449) q[1];
ry(1.4449) q[5];
ry(1.4417) q[2];
ry(1.4417) q[0];
cry(-0.1259) q[2], q[1];
cry(0.1217) q[5], q[0];
cry(0.1216) q[0], q[2];
cry(0.1186) q[2], q[5];
cry(-0.002... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9d8cdd3ce137f8d1d89fd1fc011d16ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 82], "expectation_value": -4.169211058055908, "params": [0.9118, 0.0035, -0.017, 0.5372, 0.9057000000000001, 0.3078, 0.2886, 0.6484, -0.0088, 0.5339, 0.8031, 0.2636, 0.0031000000000000003, 0.6005, 0.9072, 0.0029000000000000002, -0.0224, 0.0058000000000000005, 0.9097000000000001, 0.006200000000000001, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -... | 3 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0010111", "0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9118) q[0];
rz(0.0035) q[0];
rx(-0.017) q[1];
rz(0.5372) q[1];
rx(0.9057) q[2];
rz(0.3078) q[2];
rx(0.2886) q[3];
rz(0.6484) q[3];
rx(-0.0088) q[4];
rz(0.5339) q[4];
rx(0.8031) q[5];
rz(0.2636) q[5];
rx(0.0031) q[6];
rz(0.6005) q[6];
crz(0.6233) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9c4ffdc8f25f93e2f8968f50dd7f51ab | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [240, 242], "expectation_value": -3.511993592670712, "params": [0.5081, 0.0049, 0.5007, 0.0036000000000000003, 0.5107, 0.0019, 0.5067, 0.0019, 0.5046, 0.0014, 0.5007, 0.0011, 0.5012, 0.0012000000000000001, 0.5007, -0.0044, 0.0027, 0.16740000000000002, -0.0002, 0.12090000000000001, 0.07930000000000001, 0.2485... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(7) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(6) | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5081) q[0];
rz(0.0049) q[0];
rx(0.5107) q[1];
rz(0.0019) q[1];
rx(0.5046) q[2];
rz(0.0014) q[2];
rx(0.5012) q[3];
rz(0.0012) q[3];
rx(0.0027) q[4];
rz(0.1674) q[4];
rx(0.0793) q[5];
rz(0.2485) q[5];
rx(0.4907) q[6];
rz(0.0221) q[6];
rx(0.0146) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f156f991f453bf2551660b1dc00bf1f6 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -15.629842209356408, "params": [-0.0002, -0.13240000000000002, -0.0021000000000000003, -0.1019, -0.0016, -0.218, -0.0038, -0.21760000000000002, -0.0041, -0.21450000000000002, -0.0034000000000000002, -0.2102, -0.0039000000000000003, -0.215, -0.002, -0.21450000000000002, -0.0006000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 5 | 9 | 3 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0002) q[0];
rz(-0.1324) q[0];
rx(-0.0016) q[1];
rz(-0.218) q[1];
rx(-0.0041) q[2];
rz(-0.2145) q[2];
rx(-0.0039) q[3];
rz(-0.215) q[3];
rx(-0.0006) q[4];
rz(-0.2227) q[4];
rx(-0.0057) q[5];
rz(-0.2082) q[5];
rx(-0.003) q[6];
rz(-0.2232) q[6];
rx(-0.0027)... | 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": []} |
9ab53f7aa1b34f991ec1ef091b962aaf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9}, {"source": 4, "target":... | {"states": [0, 511], "expectation_value": -13.832309730631188, "params": [0.0719, 0.3134, 0.644, -0.9248000000000001, 0.7367, 1.0918, 0.4859, 1.8718000000000001, 0.8607, 0.9640000000000001, 0.0381, 0.9443, 0.8617, 1.5045000000000002, 0.22310000000000002, 1.2326000000000001, 0.859, 1.6768, 0.2617, 0.6013000000000001, 0.... | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(8)) + 0.5 *... | 6 | 9 | 2 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000", "110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0719) q[0];
rz(0.3134) q[0];
rx(0.7367) q[1];
rz(1.0918) q[1];
rx(0.8607) q[2];
rz(0.964) q[2];
rx(0.8617) q[3];
rz(1.5045) q[3];
rx(0.859) q[4];
rz(1.6768) q[4];
rx(0.7589) q[5];
rz(1.8044) q[5];
rx(0.5278) q[6];
rz(1.9692) q[6];
rx(0.4172) q[7];
rz(2.04... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
374946054185001663 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 5], [11, 4], [8, 3], [3, 4], [9, 10], [2, 10], [2, 7], [0, 11], [9, 11], [1, 4], [1, 6], [10, 6], [8, 11], [8, 6], [11, 5], [8, 4], [8, 9], [9, 1], [8, 7], [11, 7], [9, 7], [0, 6], [9, 6], [4, 5], [0, 9], [8, 0], [3, 7], [1, 10]]} | {"states": [1235, 2860], "expectation_value": -3.998991829519567, "params": [[[1.5727, 0.0019], [1.5727, 1.5737], [-0.019100000000000002, 1.5727], [-0.7187, 0.7185], [-1.5734000000000001, 1.5742], [-1.574, 1.5686], [1.5733000000000001, 1.5688], [1.5684, 1.5687], [0.0028, 1.5308000000000002], [-0.0026000000000000003, -0... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(2) @ Z(11)) + 0.5... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -5.0, "smallest_bitstrings": ["000111011001", "111000010110", "010111011010", "101000101100", "111000100110", "010011010011", "000111101001", "101100101100", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5727) q[0];
ry(1.5727) q[1];
ry(-0.0191) q[2];
ry(-0.7187) q[3];
ry(-1.5734) q[4];
ry(-1.574) q[5];
ry(1.5733) q[6];
ry(1.5684) q[7];
ry(0.0028) q[8];
ry(-0.0026) q[9];
ry(-0.0936) q[10];
ry(1.5783) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10]... | 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": []} |
cde6b48ed870286595c1455af7aff8bd | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 0], "expectation_value": -1.7419606411298552, "params": null, "bitstrings": ["110", "111"], "total_optimization_steps": 4, "probabilities": [0.003943316176215607, 0.9919772858285041], "optimization_time": 1.281661033630371} | 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)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5486) q[0];
ry(-1.4449) q[1];
ry(-1.4449) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5486) q[0];\nry(-1.4449)... |
7694147522867217377 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [8, 1, 4, 5], [8, 2, 3, 6], [2, 3, 4, 6, 7], [0, 4]]} | {"states": [95, 93], "expectation_value": -1.5140217760611643, "params": [0.1097, -0.005200000000000001, -0.0876, 0.0079, 0.35810000000000003, 0.0088, 0.099, 0.0005, 1.2912000000000001, -0.0162, 0.8789, 0.0004, 1.2561, -0.0161, 0.8687, 0.0056, 1.3029000000000002, -0.016300000000000002, 1.2978, 0.0067, 1.2915, -0.008, 1... | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.05 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.1333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6999999999999997, "smallest_bitstrings": ["111000000", "111000010", "000010100", "110100010", "10000110... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1097) q[0];
rz(-0.0052) q[0];
rx(0.3581) q[1];
rz(0.0088) q[1];
rx(1.2912) q[2];
rz(-0.0162) q[2];
rx(1.2561) q[3];
rz(-0.0161) q[3];
rx(1.3029) q[4];
rz(-0.0163) q[4];
rx(1.2915) q[5];
rz(-0.008) q[5];
rx(1.2925) q[6];
rz(-0.0086) q[6];
rx(1.2949) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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