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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
43f346f2449aaad74bd3d1617b2cab32 | 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": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [22, 13], "expectation_value": -0.9976344349723341, "params": [[0.0742, 0.07010000000000001, 0.0713, 0.0771], [-0.07440000000000001, -0.0625, -0.057800000000000004, -0.066]], "bitstrings": ["101001", "110010"], "total_optimization_steps": 10, "probabilities": [0.03503655423674872, 0.035036554236748736], "opt... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"]} | 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(0.0742) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0742) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0742) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0742) q[4];
cx q[0], q[4];
cx q[2], q[1];
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": []} |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 9.505587100982666} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"]} | 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(-1.5708) q[3];
ry(-1.4449) q[1];
ry(1.4449) q[2];
cry(-1.0398) q[0], q[4];
ry(0.6944) q[0];
ry(-0.451) q[4];
cry(0.4963) q[2], q[0];
cry(-0.3778) q[2], q[4];
cry(-0.1177) q[2], q[1];
cry(0.1069) q[0], q[2];
cry(-0.072... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
902d1b67930e0629acecd09204caf4e9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [89, 95], "expectation_value": -10.259671956045993, "params": null, "bitstrings": ["10100110", "10100000"], "total_optimization_steps": 78, "probabilities": [0.12501699519549195, 0.8278427170880167], "optimization_time": 104.20808839797974} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"]} | 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(1.2796) q[5];
cry(1.5708) q[5], q[1];
ry(1.5708) q[3];
cry(-1.0997) q[3], q[5];
cry(-0.0106) q[1], q[5];
cry(1.2795) q[6], q[5];
cry(0.5014) q[2], q[5];
cry(1.5472) q[1], q[7];
cry(-1.5483) q[7... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
436006815442743747 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 6], [1, 3], [0, 2], [0, 5], [0, 6], [3, 4], [2, 5], [0, 3], [3, 6], [3, 5], [2, 4]]} | {"states": [39, 88], "expectation_value": -0.08509486399429994, "params": [[-0.060500000000000005], [0.0597]], "bitstrings": ["1011000", "0100111"], "total_optimization_steps": 10, "probabilities": [0.008495351686055272, 0.008495351686055272], "optimization_time": 0.6973593235015869} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["0100111", "0011000", "1100111", "1000111", "0111000", "1111000", "1011000", "0000111"]} | 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[4], q[1];
rz(-0.0605) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0605) q[2];
cx q[4], q[2];
cx q[2], q[6];
rz(-0.0605) q[6];
cx q[2], q[6];
cx q[4], q[3];
rz(-0.0605) q[3];
cx q[4], q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[4], q[3];
... | null | {"circuits": [], "gradients": []} |
52d445418826abb1edfe2507a27ebafb | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [106, 110], "expectation_value": -24.05078916037951, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 100, "probabilities": [0.12740879726852652, 0.13759641916956722], "optimization_time": 170.19641065597534} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"]} | 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(22.4081) q[2];
ry(-5.9954) q[6];
ry(-8.9441) q[4];
ry(17.7441) q[7];
ry(62.9292) q[5];
cry(-25.2651) q[6], q[2];
cry(-4.8373) q[5], q[2];
cry(-11.3979) q[6], q[4];
ry(-0.4752) q[1];
ry(0.0881) ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
-7725280652135298074 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 5], [2, 4], [1, 2, 5], [0, 2, 3], [0, 1], [0, 6], [2, 6, 7], [0, 4]]} | {"states": [101, 225], "expectation_value": -2.796528603960419, "params": null, "bitstrings": ["10011010", "00011110"], "total_optimization_steps": 50, "probabilities": [0.03614607389080298, 0.8394801438255286], "optimization_time": 65.72862124443054} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666674, "smallest_bitstrings": ["00011110"]} | 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(1.4449) q[2];
cry(-1.4433) q[2], q[4];
ry(1.4411) q[1];
cry(-1.2266) q[0], q[5];
ry(0.7606) q[0];
cry(-1.324) q[0], q[6];
ry(-0.5192) q[5];
cry(0.446) q[2], q[0];
ry(-0.1283) q[4];
cry(-0.6611)... | 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(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
70196c9e5e5eed44a74c7bea1ceede42 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 2, "target": 7},... | {"states": [0, 1551], "expectation_value": -16.606298587472082, "params": [-0.7537, -0.0437, 0.7157, 0.0041, -0.7077, 1.5122, -0.35700000000000004, 0.0073, -0.0034000000000000002, 1.1296000000000002, 0.0027, 0.0008, -0.0033, 1.1064, 0.003, 0.004200000000000001, -0.0034000000000000002, 1.1059, 0.003, 0.0027, -0.0033, 1.... | -1.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + 0.... | 6 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.7537) q[0];
rz(-0.0437) q[0];
rx(-0.7077) q[1];
rz(1.5122) q[1];
rx(-0.0034) q[2];
rz(1.1296) q[2];
rx(-0.0033) q[3];
rz(1.1064) q[3];
rx(-0.0034) q[4];
rz(1.1059) q[4];
rx(-0.0033) q[5];
rz(1.5005) q[5];
rx(-0.0036) q[6];
rz(1.1378) q[6];
rx(-0.8919) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -0.09505023136824958, "params": [[-0.0364, -0.0524], [0.0463, 0.052000000000000005]], "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 10, "probabilities": [0.009109510364823204, 0.00910951036482321], "optimization_time": 3.482408285140991} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"]} | 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(-0.0182) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0182) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0182) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0182) q[0];
cx q[1], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
cf6781246fc66f87fa6a567e8619e23b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -0.9328407745875589, "params": [[0.0664, 0.0724, 0.041800000000000004], [-0.0563, -0.07200000000000001, -0.0458]], "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01660593468016631, 0.01686760616416738], "optimization_time": 3.9034116268... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1111110", "1101110"]} | 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(-0.0996) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0664) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0332) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(-0.0664) q[4];
cx q[1], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
560cf2172752e15d8cd93f412243edf3 | 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}], "edges": [{"... | {"states": [168, 87], "expectation_value": -9.119783364325817, "params": [[[0.6944, 0.6984], [0.6956, 0.6919000000000001], [0.2985, 0.6885], [0.6954, 0.7016], [0.6741, 0.6995], [0.6189, 0.7068], [0.49210000000000004, 0.6902], [0.2591, 0.46480000000000005]], [[0.6996, 0.2687], [0.7018, 0.7024], [0.6882, 0.6872], [0.6986... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 18.5 * Z(1) + 2.0 * Z(0) + 6.5 * Z(2) + 16.0 * Z(3) + 4.0 * Z(4) + 1.0 * Z(5) + 6.0 * Z(6) + 7.5 * Z... | 15 | 8 | 2 | {"smallest_eigenvalues": [-56.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.6944) q[0];
ry(0.6956) q[1];
ry(0.2985) q[2];
ry(0.6954) q[3];
ry(0.6741) q[4];
ry(0.6189) q[5];
ry(0.4921) q[6];
ry(0.2591) 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(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8]}"} | {"circuits": [], "gradients": []} |
b9d77147a8075a3ab2c92d83b9a01aff | 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": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [26, 15], "expectation_value": -2.313921416446625, "params": null, "bitstrings": ["00101", "10000"], "total_optimization_steps": 25, "probabilities": [0.1260881564340479, 0.6003138025270256], "optimization_time": 14.46843934059143} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10000", "10010"]} | 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];
cry(1.4449) q[4], q[2];
cry(-1.3016) q[4], q[0];
cry(0.909) q[2], q[4];
cry(-0.5426) q[2], q[0];
ry(0.167) q[4];
ry(0.1793) q[2];
cry(0.4711) q[1], q[3];
ry(0.3841) q[3];
cry(0.1949) q[3], q[0];
cry(0.27... | 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(1.5681) 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] ... |
b845e845e96253b1c097c9f0e9c9732f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [44, 45], "expectation_value": -4.4678896480995975, "params": [-0.0033, 0.5973, 1.3158, -0.0015, 1.6059, 0.0027, 1.5976000000000001, 0.0013000000000000002, 1.5976000000000001, 0.0034000000000000002, 1.6072000000000002, 0.0037, 0.0032, 0.8235, 1.6043, 0.0089, -0.0015, -1.3299, 1.5595, -1.5838, 1.5762, -1.4974... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 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(5) @ Z(1)) + -1.5 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -2.0 * Z(6) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["11010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0033) q[0];
rz(0.5973) q[0];
rx(1.3158) q[1];
rz(-0.0015) q[1];
rx(1.6059) q[2];
rz(0.0027) q[2];
rx(1.5976) q[3];
rz(0.0013) q[3];
rx(1.5976) q[4];
rz(0.0034) q[4];
rx(1.6072) q[5];
rz(0.0037) q[5];
rx(0.0032) q[6];
rz(0.8235) q[6];
rx(1.6043) 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": []} |
8a4269a232078304d8c3e7272421c53e | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "... | {"states": [0, 1855], "expectation_value": -15.977974760770273, "params": [0.011000000000000001, 0.8056000000000001, 0.0102, 0.7060000000000001, 0.6127, 1.7835, -0.3864, 0.8877, -0.7232000000000001, 1.6487, 0.11320000000000001, 1.4494, -0.7318, 1.6474, -0.1647, 1.0705, -0.007500000000000001, 0.8580000000000001, 0.0033,... | -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + -2.0 * (Z(0) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 1.0 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(10)) + -1.5 * (Z(11) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) +... | 6 | 12 | 2 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["100011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.011) q[0];
rz(0.8056) q[0];
rx(0.6127) q[1];
rz(1.7835) q[1];
rx(-0.7232) q[2];
rz(1.6487) q[2];
rx(-0.7318) q[3];
rz(1.6474) q[3];
rx(-0.0075) q[4];
rz(0.858) q[4];
rx(-0.0052) q[5];
rz(1.166) q[5];
rx(-0.7278) q[6];
rz(1.5391) q[6];
rx(-0.7359) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] 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": 0} | {"circuits": [], "gradients": []} |
8344618687521913673 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 1, 2, 5], [0, 2, 4, 6], [2, 4, 5, 7], [3, 6, 7], [4, 5, 6], [0, 3, 7], [2, 5, 6], [3, 5], [0, 1, 6], [0, 1, 4, 5, 7], [2, 4, 6, 7], [1, 2, 3]]} | {"states": [239, 237], "expectation_value": -1.8539761022804608, "params": [1.2003000000000001, 1.1979, 1.1953, 1.1937, 1.1881000000000002, 1.1874, 0.5805, 0.5788, 1.1991, 1.2, 1.1874, 1.1937, 1.1984000000000001, 1.1975, 1.1881000000000002, 1.1976, 0.9168000000000001, 1.1908, 0.2008, 0.9673, 0.3785, 0.38530000000000003... | 0.5 * (Z(3) @ Z(4)) + 0.13333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.05 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3 * (Z(1) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + 0.3 * (Z(5) @ Z(4... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.033333333333333, "smallest_bitstrings": ["00010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.2003) q[0];
ry(1.1953) q[1];
ry(1.1881) q[2];
ry(0.5805) q[3];
ry(1.1991) q[4];
ry(1.1874) q[5];
ry(1.1984) q[6];
ry(1.1881) q[7];
crx(0.9168) q[7], q[0];
crx(0.8776) q[6], q[7];
crx(0.2869) q[5], q[6];
crx(0.1728) q[4], q[5];
crx(-0.0201) q[3], q[4];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
1305504633744829616 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [0, 3], [2, 3]]} | {"states": [9, 10], "expectation_value": -1.3448396588962441, "params": null, "bitstrings": ["0110", "0101"], "total_optimization_steps": 18, "probabilities": [0.0562534267794353, 0.848595631511367], "optimization_time": 8.414158344268799} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[0], q[1];
ry(1.0293) q[0];
ry(-0.6992) q[1];
ry(0.7003) q[2];
cry(-0.795) q[0], q[3];
cry(0.668) q[0], q[2];
cry(0.3724) q[2], q[0];
ry(-0.1994) q[3];
cry(-0.2465) q[2], q[1];
cry(0.0825) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], 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... |
9100e2fb1259fd581bb7d10373e955dd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [207, 79], "expectation_value": -53.25235034805393, "params": [0.0039000000000000003, 0.3291, 0.531, -0.32180000000000003, 0.9923000000000001, 0.0974, 0.0032, 0.6201, 0.37610000000000005, 0.3709, 0.992, 0.0183, 0.9899, -0.0227, 0.9853000000000001, -0.0068000000000000005, 0.995, 0.22240000000000001, 0.0002, 0... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(0) @ Z(8)) + 5.5 * Z(2) + 10.5 * Z(1) + -4.5 * Z(3) + 11.5 * Z(5) + 5.0 * Z(4) + 8.5 * Z(6) + 14.5 * Z(7) + 3.0 * Z(8) + -2.5 * Z(0) | 18 | 9 | 3 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0039) q[0];
rz(0.3291) q[0];
rx(0.531) q[1];
rz(-0.3218) q[1];
rx(0.9923) q[2];
rz(0.0974) q[2];
rx(0.0032) q[3];
rz(0.6201) q[3];
rx(0.3761) q[4];
rz(0.3709) q[4];
rx(0.992) q[5];
rz(0.0183) q[5];
rx(0.9899) q[6];
rz(-0.0227) q[6];
rx(0.9853) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
0422e82e542f79e7f34e2b64d3068fee | 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": 6}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [149, 181], "expectation_value": -3.0745219657966625, "params": [0.3059, -0.0805, 0.30760000000000004, 0.002, 0.0917, 0.11810000000000001, 0.09230000000000001, 0.11330000000000001, 0.2983, -0.0801, 0.299, 0.0204, 0.30260000000000004, -0.0714, 0.30910000000000004, 0.0154, 0.08310000000000001, 0.1269, 0.0848, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(7) + -2.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 5 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["11000010", "01001010", "00001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3059) q[0];
rz(-0.0805) q[0];
rx(0.0917) q[1];
rz(0.1181) q[1];
rx(0.2983) q[2];
rz(-0.0801) q[2];
rx(0.3026) q[3];
rz(-0.0714) q[3];
rx(0.0831) q[4];
rz(0.1269) q[4];
rx(0.3014) q[5];
rz(-0.0687) q[5];
rx(-0.0106) q[6];
rz(0.1432) q[6];
rx(0.3075) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] 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": []} |
-7057494627897803715 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4, 6, 7], [3, 4, 7], [0, 4], [2, 4, 5], [2, 3, 4, 6], [8, 2, 6], [1, 2, 5], [0, 1, 6, 7], [0, 2], [8, 2, 3], [8, 3, 6], [0, 8], [8, 1], [1, 4, 5, 7], [1, 3]]} | {"states": [209, 211], "expectation_value": -2.59690130531623, "params": [[[1.5686, 1.9806000000000001], [1.0019, -0.8231], [-0.14250000000000002, 1.2306000000000001], [2.6013, 0.3809], [0.781, 0.8189000000000001], [1.5682, 1.5683], [1.5734000000000001, -1.5623], [1.5731000000000002, -0.0058000000000000005], [1.5685, 1... | 0.08333333333333333 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.25 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.25 * (Z(3) @ Z(6)) + 0.16666666... | 15 | 9 | 1 | {"smallest_eigenvalues": [-4.000000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.999999999999999, "smallest_bitstrings": ["100101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5686) q[0];
ry(1.0019) q[1];
ry(-0.1425) q[2];
ry(2.6013) q[3];
ry(0.781) q[4];
ry(1.5682) q[5];
ry(1.5734) q[6];
ry(1.5731) q[7];
ry(1.5685) 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];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
953796ca4b6137c6c134989cdf6bb9e5 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [128, 1], "expectation_value": -3.70733249626168, "params": [[-0.0594, -0.06860000000000001, -0.08700000000000001], [0.0709, 0.0673, 0.077]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.015576471064973008, 0.02172621954565906], "optimization_time": 4.1861977577... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "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[3], q[0];
rz(0.1188) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(0.0891) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(0.1782) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(0.1188) q[1];
cx q[2], q[1];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
bf001351f2bf5e55c043b36bf1cfc0ff | 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": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {... | {"states": [227, 115], "expectation_value": -34.19770952065728, "params": [[0.0376, -0.006900000000000001], [-0.16740000000000002, -0.1236]], "bitstrings": ["00011100", "10001100"], "total_optimization_steps": 20, "probabilities": [0.023270460076405635, 0.023281823941612496], "optimization_time": 3.427354335784912} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"]} | 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(0.3008) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3008) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3008) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3008) q[3];
cx q[1], q[3];
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[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f185945566c2c3ca031391a04e449c23 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 4, "source": 1, "target": 9}, {"capac... | {"states": [512, 511], "expectation_value": -16.71067326352949, "params": [[[-0.008, -0.0055000000000000005], [0.0001, 0.0475], [0.0036000000000000003, -0.0031000000000000003], [-0.0045000000000000005, -0.0024000000000000002], [-0.0045000000000000005, 0.0025], [0.0027, -0.0026000000000000003], [-0.0041, -0.0027], [-0.0... | -1.0 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(4) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.008) q[0];
ry(0.0001) q[1];
ry(0.0036) q[2];
ry(-0.0045) q[3];
ry(-0.0045) q[4];
ry(0.0027) q[5];
ry(-0.0041) q[6];
ry(-0.0033) q[7];
ry(-1.4822) q[8];
ry(0.328) 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], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [96, 35], "expectation_value": -3.238650777995441, "params": [[[0.31930000000000003, 0.0047], [0.7002, 0.0024000000000000002], [-0.0158, 0.005], [0.0022, -0.008], [-0.0538, -0.034300000000000004], [0.6898000000000001, 0.6731], [0.7021000000000001, 0.4913]], [[0.7055, 0.0041], [0.7016, 0.0036000000000000003],... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ 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(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(6) | 15 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "1010110", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.3193) q[0];
ry(0.7002) q[1];
ry(-0.0158) q[2];
ry(0.0022) q[3];
ry(-0.0538) q[4];
ry(0.6898) q[5];
ry(0.7021) q[6];
cx q[6], q[0];
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(0.0047) q[0];
ry(0.0024) 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": []} |
712b030d217f3cf9b2b341027ce3b496 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 14, "source": 1, "target": 6}, {"weight": 3, "source... | {"states": [219, 218], "expectation_value": -68.52345378461365, "params": [0.1312, 0.2582, 0.13140000000000002, 0.2504, 0.5446, -0.0653, 0.5412, -0.060700000000000004, 0.5376000000000001, -0.0707, 0.5387000000000001, -0.019700000000000002, 0.0024000000000000002, 0.0058000000000000005, 0.006500000000000001, -0.093900000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.... | 5 | 9 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1312) q[0];
rz(0.2582) q[0];
rx(0.5446) q[1];
rz(-0.0653) q[1];
rx(0.5376) q[2];
rz(-0.0707) q[2];
rx(0.0024) q[3];
rz(0.0058) q[3];
rx(0.5387) q[4];
rz(-0.0835) q[4];
rx(0.54) q[5];
rz(-0.0929) q[5];
rx(0.0228) q[6];
rz(0.283) q[6];
rx(0.5442) 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
9645644fcb46d75a104e4de81b9201a7 | 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": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [0, 1], "expectation_value": -3.295974090047055, "params": [0.0007, 0.20980000000000001, 0.0002, -0.25070000000000003, 0.0023, -0.3049, 0.0038, 0.2914, 0.002, 0.28650000000000003, 0.3062, 0.0927, 0.4033, 0.006, 0.00030000000000000003, 0.2093, 0.0054, -0.2998, 0.0046, -0.2978, 0.0021000000000000003, 0.3044, 0... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010100", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0007) q[0];
rz(0.2098) q[0];
rx(0.0002) q[1];
rz(-0.2507) q[1];
rx(0.0023) q[2];
rz(-0.3049) q[2];
rx(0.0038) q[3];
rz(0.2914) q[3];
rx(0.002) q[4];
rz(0.2865) q[4];
rx(0.3062) q[5];
rz(0.0927) q[5];
rx(0.4033) q[6];
rz(0.006) q[6];
crz(0.0036) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-8270300483819624873 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 5, 6, 7, 8, 9, 11], [10, 11, 6], [0, 1, 3, 4, 5, 6, 7, 8, 9, 10], [2, 11, 4], [0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [0, 2, 3, 7, 9, 10, 11], [0, 1, 7, 10, 11], [0, 1, 2, 3, 5, 6, 7, 8, 9, 10], [11, 10, 3, 5], [11, 10, 3, 4], [1, 5, 8, 10, 11], [1,... | {"states": [2493, 2557], "expectation_value": -2.227191388036582, "params": [[[3.1356, 0.0039000000000000003], [0.9701000000000001, 0.0017000000000000001], [0.9355, 0.0036000000000000003], [3.1606, 0.006500000000000001], [1.8342, 0.005], [1.5775000000000001, 0.0055000000000000005], [2.9295, 0.0085], [2.8171, 0.0083], [... | 0.10555555555555557 * (Z(0) @ Z(1)) + 0.044444444444444446 * (Z(2) @ Z(1)) + 0.06825396825396826 * (Z(2) @ Z(0)) + 0.05555555555555556 * (Z(3) @ Z(1)) + 0.07936507936507936 * (Z(3) @ Z(0)) + 0.06825396825396826 * (Z(3) @ Z(2)) + 0.09444444444444446 * (Z(5) @ Z(1)) + 0.044444444444444446 * (Z(5) @ Z(0)) + 0.033333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-2.7682539682539677], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7682539682539673, "smallest_bitstrings": ["011000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1356) q[0];
rz(0.0039) q[0];
rx(0.9701) q[1];
rz(0.0017) q[1];
rx(0.9355) q[2];
rz(0.0036) q[2];
rx(3.1606) q[3];
rz(0.0065) q[3];
rx(1.8342) q[4];
rz(0.005) q[4];
rx(1.5775) q[5];
rz(0.0055) q[5];
rx(2.9295) q[6];
rz(0.0085) q[6];
rx(2.8171) 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": []} |
478347d0649638bba313bef5d45c4851 | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 66], "expectation_value": -4.972901300467102, "params": null, "bitstrings": ["1111001", "0111101"], "total_optimization_steps": 18, "probabilities": [0.07435637329992388, 0.8990309295802269], "optimization_time": 15.686606168746948} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0111101", "1011011", "1111010", "1111001", "1110110", "0101111", "0110111", "1101110"]} | 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(-1.5681) q[3];
ry(-1.4449) q[2];
ry(-1.4449) q[6];
ry(1.4384) q[5];
cry(-1.0398) q[0], q[4];
ry(0.6944) q[0];
ry(-0.451) q[4];
cry(0.4962) q[5], q[0];
cry(-0.3778) q[5], q[4];
cry(-0.... | 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", ... |
df62b430c122c4297c9377287854fb07 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -0.1383367294758906, "params": [[0.0669, 0.0699], [-0.069, -0.0717]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.036742489913360744, 0.03844531573438516], "optimization_time": 1.8865501880645752} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"]} | 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[3], q[0];
rz(-0.0335) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0669) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.0335) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0669) q[4];
cx q[0], q[4];
cx q[1], q[4];
rz(-0.0335) q[... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
bd840c67c60de5e8a0e6837e43896a66 | 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": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.7546780023682227, "params": [[-0.0541, -0.0245, -0.0296], [0.07, 0.0412, 0.043500000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007141730291029847, 0.007597956931171597], "optimization_time": 4.121246337890625} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"]} | 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[3], q[0];
rz(0.1082) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(0.0541) q[6];
cx q[0], q[6];
cx q[3], q[7];
rz(0.1082) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.1894) q[7];
cx q[0], q[7];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
e0b9c24fb45ae4a4b516382818d3356a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [56, 888], "expectation_value": -0.8376719958067929, "params": [[-0.053700000000000005], [0.063]], "bitstrings": ["1111000111", "0010000111"], "total_optimization_steps": 10, "probabilities": [0.0013827163556318367, 0.0014330325812355355], "optimization_time": 1.7719542980194092} | -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 *... | 5 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.1611) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1611) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1611) q[3];
cx q[0], q[3];
cx q[6], q[4];
rz(0.1611) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
... | {"node": 7} | {"circuits": [], "gradients": []} |
-740421464406975054 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 6], [2, 6], [9, 4], [10, 4], [4, 6], [0, 4], [1, 3], [10, 5], [1, 7], [8, 0]]} | {"states": [754, 690], "expectation_value": -2.3397698535764064, "params": [0.5792, -0.49960000000000004, 0.44830000000000003, 0.0034000000000000002, 1.1977, 0.025900000000000003, 1.1581000000000001, 0.0053, 0.5864, -0.5016, 0.45580000000000004, 0.009000000000000001, 1.2023000000000001, -0.0509, 1.1807, 0.0031000000000... | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(10) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10101001101", "01010110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.5792) q[0];
rz(-0.4996) q[0];
rx(1.1977) q[1];
rz(0.0259) q[1];
rx(0.5864) q[2];
rz(-0.5016) q[2];
rx(1.2023) q[3];
rz(-0.0509) q[3];
rx(0.9941) q[4];
rz(0.2506) q[4];
rx(1.2017) q[5];
rz(0.0079) q[5];
rx(1.1977) q[6];
rz(-0.1874) q[6];
rx(0.73) 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": []} |
407a5a03219a9cafdd5b5c6eddb9d22b | 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, 358], "expectation_value": -91.25286786657071, "params": [-0.0027, 0.6643, 0.897, 0.1695, 0.2521, 0.38280000000000003, 0.9025000000000001, -0.0177, 0.8819, 0.1923, 0.5733, 0.2076, -0.0029000000000000002, 0.6487, 0.8982, 0.0053, 0.8983000000000001, -0.16820000000000002, 0.2529, -0.341, -0.002, 0.6468, 0... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(9)) + 1.0 * Z(2) + 21.5 * Z(1) + 20.0 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["1010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0027) q[0];
rz(0.6643) q[0];
rx(0.897) q[1];
rz(0.1695) q[1];
rx(0.2521) q[2];
rz(0.3828) q[2];
rx(0.9025) q[3];
rz(-0.0177) q[3];
rx(0.8819) q[4];
rz(0.1923) q[4];
rx(0.5733) q[5];
rz(0.2076) q[5];
rx(-0.0029) q[6];
rz(0.6487) q[6];
rx(0.8982) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
ffcd0fc316912896effff069eaf44063 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [143, 15], "expectation_value": -17.342245401776925, "params": [-0.0014, 1.9519000000000002, -0.006, 0.0077, -0.8086, 2.5081, 0.47540000000000004, 0.0049, 0.0031000000000000003, 1.2183000000000002, -0.0032, 0.007, 0.0031000000000000003, 1.2790000000000001, -0.0031000000000000003, 0.0074, 0.0027, 2.0187, -0.0... | -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(0) @ Z(3)) + -2.5 * (Z(0) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.... | 6 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0014) q[0];
rz(1.9519) q[0];
rx(-0.8086) q[1];
rz(2.5081) q[1];
rx(0.0031) q[2];
rz(1.2183) q[2];
rx(0.0031) q[3];
rz(1.279) q[3];
rx(0.0027) q[4];
rz(2.0187) q[4];
rx(-1.2808) q[5];
rz(1.8196) q[5];
rx(1.1907) q[6];
rz(1.3391) q[6];
rx(-1.2467) 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[... | {"node": 0} | {"circuits": [], "gradients": []} |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [15, 31], "expectation_value": -3.639214553464091, "params": null, "bitstrings": ["110000", "100000"], "total_optimization_steps": 32, "probabilities": [0.36461455184422314, 0.36464526034654576], "optimization_time": 20.283504486083984} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "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];
ry(1.5708) q[3];
cry(1.5158) q[5], q[4];
ry(1.3013) q[2];
cry(1.0459) q[4], q[5];
cry(-1.2965) q[5], q[0];
cry(-0.2314) q[4], q[0];
ry(0.2593) q[0];
cry(0.2354) q[3], q[2];
ry(0.0828) q[5];
ry(0.0793) q[4];
cry(0... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) 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 \"stdgat... |
8e4b273e62e3bdbcb042f56fe9c0bd31 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [40, 42], "expectation_value": -2.17659934833692, "params": [0.5021, -0.0004, -0.0025, 0.3541, 0.5096, 0.0018000000000000002, 0.0844, 0.2642, 0.42610000000000003, 0.1353, 0.0806, 0.2999, 0.5052, -0.00030000000000000003, -0.0036000000000000003, 0.3482, 0.5086, 0.0036000000000000003, 0.0751, 0.2734000000000000... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 3 | 6 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.5021) q[0];
rz(-0.0004) q[0];
rx(-0.0025) q[1];
rz(0.3541) q[1];
rx(0.5096) q[2];
rz(0.0018) q[2];
rx(0.0844) q[3];
rz(0.2642) q[3];
rx(0.4261) q[4];
rz(0.1353) q[4];
rx(0.0806) q[5];
rz(0.2999) q[5];
crz(0.1654) q[5], q[4];
crz(0.3013) q[4], q[3];
crz(-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": []} |
-1304037010921842383 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3], [1, 2], [8, 6], [3, 5], [1, 4], [5, 7], [8, 9], [10, 11], [3, 12]]} | {"states": [5996, 1900], "expectation_value": -0.08009042655699355, "params": [0.755, 0.7469, 0.738, 0.7282000000000001, 0.8556, 0.8552000000000001, 0.8356, 0.8433, 0.8483, 0.8435, 0.7286, 0.7233, 0.8677, 0.8652000000000001, 0.8562000000000001, 0.8638, 0.6924, 0.6938000000000001, 0.8841, 0.8613000000000001, 0.840900000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(12) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(7) + 0.... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101101100", "1100011001101", "1100011001011", "1100010010101", "1100010010011", "1010110010011", "01... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.755) q[0];
ry(0.738) q[1];
ry(0.8556) q[2];
ry(0.8356) q[3];
ry(0.8483) q[4];
ry(0.7286) q[5];
ry(0.8677) q[6];
ry(0.8562) q[7];
ry(0.6924) q[8];
ry(0.8841) q[9];
ry(0.8409) q[10];
ry(0.7462) q[11];
ry(0.7437) q[12];
crz(-0.0475) q[12], q[0];
crz(-0.231... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
-3147467557880542484 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5], [3, 5, 6, 7], [1, 2, 5, 7], [2, 3], [2, 5, 6], [0, 4, 5], [4, 5, 6], [0, 1, 3, 6]]} | {"states": [92, 235], "expectation_value": -0.06329900136821132, "params": [[0.0717], [-0.059300000000000005]], "bitstrings": ["10100011", "00010100"], "total_optimization_steps": 10, "probabilities": [0.004134699776599802, 0.004153589443411287], "optimization_time": 1.6814792156219482} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["00010100"]} | 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(0.0239) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0239) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0239) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.0239) q[5];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 54], "expectation_value": -2.0947827371901067, "params": null, "bitstrings": ["0101001", "1001001"], "total_optimization_steps": 51, "probabilities": [0.0730116655002035, 0.746544414918347], "optimization_time": 87.47581338882446} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"]} | 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(-1.1871) q[4], q[6];
cry(-1.1871) q[5], q[3];
ry(1.287) q[2];
cry(-1.1939) q[1], q[0];
ry(0.6209) q[4];
ry(-0.5219) q[6];
cry(0.5717) q[2], q[4];
cry(0.6906) q[4], q[1];
cry(-0.5577) q[4], q[0];
cry(-... | 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(-1.1871) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
-5591920024589002738 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [1, 3, 4, 6, 7], [5, 7], [0, 4]]} | {"states": [27, 11], "expectation_value": -1.6391625946712411, "params": null, "bitstrings": ["11100100", "11110100"], "total_optimization_steps": 62, "probabilities": [0.2732077250998293, 0.3352784276206694], "optimization_time": 95.49470973014832} | 0.5 * (Z(2) @ Z(6)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.1000000000000002 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, ... | 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];
cry(-1.0342) q[6], q[2];
ry(0.8763) q[6];
ry(-0.595) q[2];
cry(-1.0342) q[7], q[5];
ry(0.8222) q[7];
cry(-1.0342) q[4], q[0];
ry(0.7663) q[4];
ry(-0.5545) q[5];
ry(-0.5103) q[0];
cry(0.4604) q[6],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
ec558389e30bd7bb5460c94de21a4e69 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [3877, 3885], "expectation_value": -3.036171749525633, "params": [[[1.2974, 0.0017000000000000001], [1.2989000000000002, -0.0009000000000000001], [1.2982, -0.0013000000000000002], [1.2961, 0.001], [0.6732, 0.3052], [-0.0019, 0.8308000000000001], [1.3032000000000001, -0.0017000000000000001], [0.2936, 0.495100... | 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(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.6875, -4.6875, -4.6875, -4.6875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.6875, "smallest_bitstrings": ["010001000101", "000011010010", "001001010001", "000101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.2974) q[0];
rz(0.0017) q[0];
rx(1.2989) q[1];
rz(-0.0009) q[1];
rx(1.2982) q[2];
rz(-0.0013) q[2];
rx(1.2961) q[3];
rz(0.001) q[3];
rx(0.6732) q[4];
rz(0.3052) q[4];
rx(-0.0019) q[5];
rz(0.8308) q[5];
rx(1.3032) q[6];
rz(-0.0017) q[6];
rx(0.2936) 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": []} |
8c44c442a25e00dfae4e1647b2faf79f | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [6, 3], "expectation_value": -7.0656952876822015, "params": null, "bitstrings": ["11001", "11100"], "total_optimization_steps": 29, "probabilities": [0.13151145307142467, 0.6825224339075274], "optimization_time": 21.006601333618164} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 7 | 5 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"]} | 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(-1.5708) q[1];
cry(-1.5708) q[4], q[2];
cry(-1.566) q[3], q[0];
ry(1.033) q[3];
ry(0.6973) q[4];
ry(-0.4799) q[0];
ry(-0.2689) q[2];
cry(0.4052) q[3], q[4];
cry(-0.2661) q[3], q[2];
cry(0.259) q[4], q[3];
cry(-0.1613)... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[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]... |
7376273113135352303 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5], [0, 1, 5, 7], [1, 4, 7], [1, 3], [3, 5, 6, 7], [2, 7], [0, 3, 7], [1, 5, 6], [3, 4, 5, 6], [0, 5, 6, 7]]} | {"states": [21, 29], "expectation_value": -0.006235613595395922, "params": [[-0.0233], [0.013000000000000001]], "bitstrings": ["11101010", "11100010"], "total_optimization_steps": 10, "probabilities": [0.003927165138552136, 0.003928371081753236], "optimization_time": 1.0713322162628174} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5833333333333326, "smallest_bitstrings": ["11100010"]} | 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[2], q[0];
rz(-0.0039) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0039) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0117) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.0039) q[5];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
d081b5ece414d97b04408b0b42241cfc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1870, 1551], "expectation_value": -5.571029628757753, "params": [[0.10880000000000001], [-0.1757]], "bitstrings": ["00010110001", "00111110000"], "total_optimization_steps": 20, "probabilities": [0.0011935178986618514, 0.0012058801834633343], "optimization_time": 4.312234878540039} | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"]} | 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[1], q[0];
rz(0.0816) q[0];
cx q[1], q[0];
cx q[7], q[2];
rz(0.1088) q[2];
cx q[7], q[2];
cx q[7], q[8];
rz(0.2176) q[8];
cx q[7], q[8];
cx q[2], q[8];
rz(0.1088) 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[11] c;
qubit[11] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
e776e7ca61722eeb2742e447edcfe87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [115, 3], "expectation_value": -6.938446675286001, "params": [[0.13440000000000002, 0.0782, 0.0374], [-0.1499, -0.1313, -0.117]], "bitstrings": ["10001100", "11111100"], "total_optimization_steps": 20, "probabilities": [0.035431099431620455, 0.04666726920214951], "optimization_time": 4.530988931655884} | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"]} | 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[5], q[0];
rz(-0.0672) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.336) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.1344) q[6];
cx q[0], q[6];
cx q[5], q[2];
rz(-0.336) q[2];
cx q[5], q[2];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
02575a12c565dc28617818fe7f0b4a99 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -16.326992928513906, "params": [[0.047900000000000005, 0.0078000000000000005], [-0.0805, -0.051000000000000004]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01145744031580427, 0.012889713607856897], "optimization_time": 3.14505... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "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[1], q[0];
rz(0.3832) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3832) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3832) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3832) q[3];
cx q[0], q[3];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
16f78d4600a63f9e28571cad22ffe3ee | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [231, 182], "expectation_value": -43.694755128467975, "params": null, "bitstrings": ["100011000", "101001001"], "total_optimization_steps": 100, "probabilities": [0.0839699571890289, 0.20964461840676027], "optimization_time": 176.5819673538208} | 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(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["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(0.5995) q[4];
ry(9.6748) q[6];
ry(63.1148) q[3];
ry(-2.4156) q[7];
ry(62.981) q[5];
ry(22.2003) q[1];
cry(19.3644) q[4], q[5];
cry(29.5585) q[5], q[4];
ry(1.3799) q[8];
cry(5.3523) q[8]... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.5995) 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] = m... |
3c6a0f75571e718d8fbaf4d718e39505 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [49, 71], "expectation_value": -0.15881523830233293, "params": [[0.0444, -0.0011], [-0.041, -0.0154]], "bitstrings": ["1001110", "0111000"], "total_optimization_steps": 10, "probabilities": [0.008485940537727823, 0.008564235988380067], "optimization_time": 3.1952693462371826} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"]} | 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(0.0444) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0444) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0444) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0444) q[3];
cx q[2], q[3];
cx q[1], 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] 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] ... | null | {"circuits": [], "gradients": []} |
-2286651177694543539 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 6], [1, 3, 5], [0, 2, 5], [3, 4, 6], [0, 1, 2, 4], [1, 3, 4], [2, 4, 6], [2, 3]]} | {"states": [15, 78], "expectation_value": -2.669370268904005, "params": null, "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 38, "probabilities": [0.05809280859196997, 0.8315169364765983], "optimization_time": 42.89670157432556} | 0.41666666666666663 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(4))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["0110001"]} | 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(1.5547) q[4];
ry(1.2292) q[5];
cry(-1.0342) q[0], q[6];
ry(0.7958) q[0];
cry(-1.0778) q[3], q[2];
ry(0.855) q[3];
cry(-1.2734) q[3], q[1];
cry(-0.5723) q[4], q[6];
cry(0.5858) q[4], q[0];
cry(-0.5332) ... | 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(1.5547) 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", "... |
7647947041241372983 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 6, 7, 8], [0, 3, 4, 7, 8], [2, 5], [0, 1, 2, 3, 6], [2, 6, 7], [0, 4, 5, 7], [4, 5, 6, 7, 8], [3, 4, 5, 6, 7]]} | {"states": [446, 430], "expectation_value": -1.9354233559169127, "params": [1.6869, -0.0058000000000000005, 0.9056000000000001, 0.0053, 1.776, -0.0211, 1.3755000000000002, 0.0009000000000000001, 0.3378, -0.0038, -0.0013000000000000002, 0.0063, 1.7303000000000002, -0.0135, 1.2095, 0.0059, 1.0982, 0.29300000000000004, 0.... | 0.05 * (Z(1) @ Z(4)) + 0.15000000000000002 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(1)) + 0.2833333333333333 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.31666666666666665 * (Z(7) @ Z(6)) + 0.15000000000000002 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(1)) + 0.1 * (Z(8) @ Z(6)) + 0.15000000000000002 * (Z(8) @ Z(7)) + 0.1333333333333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333334, -2.083333333333334, -2.083333333333334, -2.083333333333334], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.000000000000001, "smallest_bitstrings": ["001010001", "011010000", "001010000", "001110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6869) q[0];
rz(-0.0058) q[0];
rx(1.776) q[1];
rz(-0.0211) q[1];
rx(0.3378) q[2];
rz(-0.0038) q[2];
rx(1.7303) q[3];
rz(-0.0135) q[3];
rx(1.0982) q[4];
rz(0.293) q[4];
rx(1.6029) q[5];
rz(-0.0264) q[5];
rx(1.6692) q[6];
rz(-0.0215) q[6];
rx(1.3585) 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": []} |
9d1382902993d8e771af3489e0021226 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [242, 250], "expectation_value": -2.4016088374472484, "params": [0.629, 0.009600000000000001, 3.0909, 0.009000000000000001, 3.0962, 0.0046, 2.6748000000000003, 0.0046, 3.099, 0.004, 1.6098000000000001, 0.006900000000000001, -0.0022, 0.0033, 3.0998, 0.0064, 0.075, 0.0016, 0.008, 0.009600000000000001, 0.0046, ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.629) q[0];
rz(0.0096) q[0];
rx(3.0909) q[1];
rz(0.009) q[1];
rx(3.0962) q[2];
rz(0.0046) q[2];
rx(2.6748) q[3];
rz(0.0046) q[3];
rx(3.099) q[4];
rz(0.004) q[4];
rx(1.6098) q[5];
rz(0.0069) q[5];
rx(-0.0022) q[6];
rz(0.0033) q[6];
rx(3.0998) q[7];
rz(0.006... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
-8299092441863773983 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [1, 3, 4, 7], [0, 4, 7], [2, 3, 5], [0, 1, 3, 5], [3, 5, 6, 7], [3, 4, 5, 7], [0, 2, 3, 4], [0, 1, 2, 4]]} | {"states": [253, 241], "expectation_value": -0.8375607437804302, "params": [0.904, 0.0018000000000000002, 0.8949, 0.0001, 0.897, -0.0022, 0.8994000000000001, 0.0038, 0.902, 0.002, 0.8933000000000001, 0.0031000000000000003, 0.9038, 0.0007, 0.8954000000000001, 0.0079, 0.8973000000000001, -0.0016, 0.8951, 0.0067, 0.8969, ... | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(3... | 6 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["00001110", "01100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.904) q[0];
rz(0.0018) q[0];
rx(0.897) q[1];
rz(-0.0022) q[1];
rx(0.902) q[2];
rz(0.002) q[2];
rx(0.9038) q[3];
rz(0.0007) q[3];
rx(0.8973) q[4];
rz(-0.0016) q[4];
rx(0.8969) q[5];
rz(0.0051) q[5];
rx(0.9031) q[6];
rz(0.0057) q[6];
rx(0.9) q[7];
rz(-0.0025... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [158, 117], "expectation_value": -0.05974076560102364, "params": [[0.0614, -0.0362], [-0.066, -0.0131]], "bitstrings": ["01100001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.004384739446045956, 0.004384739446045958], "optimization_time": 6.254369258880615} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001010", "10010001", "01100001", "01001100"]} | 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(0.0614) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0307) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.0307) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.0307) q[3];
cx q[4], q[3];
cx 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | null | {"circuits": [], "gradients": []} |
486cc20bea42c1ab6a6365c5d3b03f44 | 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": [380, 372], "expectation_value": -99.19138762448753, "params": [-0.0011, 0.0002, 0.49310000000000004, 0.4943, 0.3149, 0.2791, 0.4864, 0.4897, 0.464, 0.4636, 0.4793, 0.4726, 0.2727, 0.2651, 0.4958, 0.49010000000000004, -0.0044, 0.0027, 0.0787, 0.0784, -0.007200000000000001, -0.0035, 0.4882, 0.4891000000000000... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(7)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(7)) + 23.0 * Z(3) + 3.0 * Z(2) + 16.0 * ... | 14 | 10 | 3 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["1010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0011) q[0];
ry(0.4931) q[1];
ry(0.3149) q[2];
ry(0.4864) q[3];
ry(0.464) q[4];
ry(0.4793) q[5];
ry(0.2727) q[6];
ry(0.4958) q[7];
ry(-0.0044) q[8];
ry(0.0787) q[9];
crx(0.1485) q[9], q[0];
crx(0.0332) q[8], q[9];
crx(-0.0173) q[7], q[8];
crx(0.4867) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
622d839e3a993053d188056ec230b393 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [3, 251], "expectation_value": -7.042918325279877, "params": [-0.1323, 1.1884000000000001, 0.6445000000000001, 1.4004, -0.35850000000000004, 1.5374, 0.44670000000000004, 1.556, -0.47950000000000004, 1.8394000000000001, 0.2452, 1.1945000000000001, -0.4369, 1.4922, 0.29650000000000004, 1.3922, -0.6604, 2.379, ... | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(5) | 6 | 8 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.1323) q[0];
rz(1.1884) q[0];
rx(-0.3585) q[1];
rz(1.5374) q[1];
rx(-0.4795) q[2];
rz(1.8394) q[2];
rx(-0.4369) q[3];
rz(1.4922) q[3];
rx(-0.6604) q[4];
rz(2.379) q[4];
rx(-0.0016) q[5];
rz(1.2589) q[5];
rx(1.513) q[6];
rz(-0.4314) q[6];
rx(1.3707) 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": 6} | {"circuits": [], "gradients": []} |
b7602418da2fb1da8d0e3bf56e052253 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [80, 39], "expectation_value": -1.6836814475862827, "params": [[-0.06670000000000001, -0.0753, -0.0717, -0.0524], [0.0603, 0.0719, 0.0727, 0.0637]], "bitstrings": ["0101111", "1011000"], "total_optimization_steps": 10, "probabilities": [0.01920851170155881, 0.021958569580335107], "optimization_time": 5.67590... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"]} | 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(-0.0667) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0667) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0667) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0667) q[5];
cx q[0], q[5];
cx q[3], 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": []} |
3548e6a53fe7f33eccefb9f4fe0aae2f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [31, 127], "expectation_value": -1.4226635058240948, "params": [[-0.06770000000000001, -0.0674, -0.0702], [0.0702, 0.06470000000000001, 0.0688]], "bitstrings": ["11100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007655987135255196, 0.008530527391938287], "optimization_time": 3.66359... | 0.25 * (Z(0) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -1.25 * (Z(4) @ Z(5)) + -0.25 * (Z(6) @ Z(5)) + -1.25 * Z(7) + -0.25 * Z(0) + -1.0 * Z(1) + 1.25 * Z(2) + 0.75 * Z(3) + -1.0 * Z(5) + 1.25 * Z(4) + 0.25 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000000", "11000000"]} | 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[7], q[0];
rz(-0.0339) q[0];
cx q[7], q[0];
cx q[1], q[2];
rz(0.1354) q[2];
cx q[1], q[2];
cx q[7], q[3];
rz(0.1354) q[3];
cx q[7], q[3];
cx q[2], q[3];
rz(0.0339) q[3];
cx q[2], q[3];
cx q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5e7964b8471c661cab4557e1a3bf343c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 2039], "expectation_value": -20.760237176875503, "params": [[[-0.0026000000000000003, 2.7038], [-0.0029000000000000002, -0.0026000000000000003], [-0.0035, -0.0031000000000000003], [-0.0035, -0.0031000000000000003], [-0.003, -0.0031000000000000003], [-0.0028, -0.003], [-0.0026000000000000003, -0.003], ... | -2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(7) @ Z(10)) + ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0026) q[0];
ry(-0.0029) q[1];
ry(-0.0035) q[2];
ry(-0.0035) q[3];
ry(-0.003) q[4];
ry(-0.0028) q[5];
ry(-0.0026) q[6];
ry(1.6354) q[7];
ry(-0.002) q[8];
ry(-0.0034) q[9];
ry(-0.0022) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"node": 7} | {"circuits": [], "gradients": []} |
5685d04b4306b22ae56a2bbc733b9334 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 81], "expectation_value": -0.20303734984455918, "params": [[0.068], [-0.0604]], "bitstrings": ["1010101", "0101110"], "total_optimization_steps": 10, "probabilities": [0.008673390943875528, 0.008798395882399977], "optimization_time": 3.033647060394287} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"]} | 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(0.068) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.068) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(0.068) q[6];
cx q[1], q[6];
cx q[4], q[6];
rz(0.068) q[6];
cx q[4], q[6];
cx q[4], q[2];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [7, 3], "expectation_value": -11.116030185165867, "params": [[[0.401, 0.002], [0.4081, 0.0082], [0.39930000000000004, 0.008400000000000001], [1.5414, 0.0098], [1.6978, 0.0098], [1.7025000000000001, 0.0074]]], "bitstrings": ["111000", "111100"], "total_optimization_steps": 170, "probabilities": [0.13682152964... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.401) q[0];
rz(0.002) q[0];
rx(0.4081) q[1];
rz(0.0082) q[1];
rx(0.3993) q[2];
rz(0.0084) q[2];
rx(1.5414) q[3];
rz(0.0098) q[3];
rx(1.6978) q[4];
rz(0.0098) q[4];
rx(1.7025) q[5];
rz(0.0074) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q... | 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 4} | {"circuits": [], "gradients": []} |
-8480892412568612317 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 2], [0, 3], [3, 4], [0, 5]]} | {"states": [11, 42], "expectation_value": -2.206348707838445, "params": null, "bitstrings": ["110100", "010101"], "total_optimization_steps": 37, "probabilities": [0.05599276003120494, 0.8149320025224146], "optimization_time": 27.882622003555298} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"]} | 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];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[0], q[5];
ry(1.0293) q[0];
ry(-0.6992) q[5];
cry(-0.6534) q[4], q[3];
ry(0.9979) q[2];
cry(-1.3795) q[2], q[1];
cry(1.1473) q[2], q[4];
ry(-0.5076) q[3];
cry(0.4404) q[4], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[2], 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 ... |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 34], "expectation_value": -2.5990800713440496, "params": null, "bitstrings": ["011110", "011101"], "total_optimization_steps": 17, "probabilities": [0.07397724748225105, 0.9005658146173622], "optimization_time": 16.373762369155884} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"]} | 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(-1.5158) q[3];
ry(-1.4449) q[1];
ry(-1.445) q[2];
ry(1.4417) q[0];
cry(-1.0398) q[4], q[5];
ry(0.7022) q[4];
ry(-0.4577) q[5];
cry(0.4969) q[0], q[4];
cry(-0.3761) q[0], q[5];
cry(-0.1216) q[0], q[1];
cry(-0.1... | 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(-1.5158) 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... |
272b7f7d40fcddb1ed0126c6a9e7e713 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [113, 112], "expectation_value": -3.655793740357431, "params": [0.49520000000000003, 0.0022, 0.4998, 0.0034000000000000002, 0.4975, -0.0083, 0.0218, 0.1759, 0.20070000000000002, 0.22030000000000002, 0.0055000000000000005, 0.2684, 0.3304, 0.0903, 0.4989, 0.0024000000000000002, 0.5009, 0.0012000000000000001, 0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -2.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 4 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0101011", "0001111", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4952) q[0];
rz(0.0022) q[0];
rx(0.4998) q[1];
rz(0.0034) q[1];
rx(0.4975) q[2];
rz(-0.0083) q[2];
rx(0.0218) q[3];
rz(0.1759) q[3];
rx(0.2007) q[4];
rz(0.2203) q[4];
rx(0.0055) q[5];
rz(0.2684) q[5];
rx(0.3304) q[6];
rz(0.0903) q[6];
crx(-0.0082) q[6], 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": []} |
527397673642175228 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 3], [0, 2, 3]]} | {"states": [11, 9], "expectation_value": -0.5720170414388479, "params": [[[2.3436, 0.0078000000000000005], [0.47800000000000004, 0.0098], [1.4966000000000002, 0.0046], [2.7064, 0.0012000000000000001]]], "bitstrings": ["0100", "0110"], "total_optimization_steps": 270, "probabilities": [0.3537589744933308, 0.410368376873... | 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(3) + 0.0 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(2.3436) q[0];
rz(0.0078) q[0];
rx(0.478) q[1];
rz(0.0098) q[1];
rx(1.4966) q[2];
rz(0.0046) q[2];
rx(2.7064) q[3];
rz(0.0012) q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure 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;
input float[64] x7;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | null | {"circuits": [], "gradients": []} |
9c1488898ca3fd0dde0c453ca568cbec | 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": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"s... | {"states": [0, 8191], "expectation_value": -16.437260685142594, "params": [[[0.002, 1.6139000000000001], [0.0016, 0.002], [0.0024000000000000002, 0.0018000000000000002], [0.0024000000000000002, -0.003], [0.002, 0.0022], [0.002, 0.0019], [0.0043, 0.0026000000000000003], [0.0033, 0.7531], [0.0026000000000000003, 0.003100... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(0)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(2) @ Z(12)) + 0.5 * (Z(2) @ Z(11)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4... | 15 | 13 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.002) q[0];
ry(0.0016) q[1];
ry(0.0024) q[2];
ry(0.0024) q[3];
ry(0.002) q[4];
ry(0.002) q[5];
ry(0.0043) q[6];
ry(0.0033) q[7];
ry(0.0026) q[8];
ry(0.0023) q[9];
ry(0.0022) q[10];
ry(-0.0027) q[11];
ry(0.002) q[12];
cx q[12], q[0];
cx q[11], q[12];
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": 3} | {"circuits": [], "gradients": []} |
455f6f23bf51d98ac570bfc0b0837643 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [759, 1015], "expectation_value": -15.877655734808414, "params": null, "bitstrings": ["0100001000", "0000001000"], "total_optimization_steps": 100, "probabilities": [0.0757060896383955, 0.331939395188746], "optimization_time": 264.5155506134033} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-30.0, -30.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.0, "smallest_bitstrings": ["0000001000", "0000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[9], q[5];
cry(1.57) q[5], q[7];
cry(1.1303) q[7], q[9];
cry(-0.6791) q[7], q[5];
ry(-0.1678) q[5];
cry(1.2822) q[6], q[5];
cry(1.5708) q[7], q[8];
cry(1.5708) q[1],... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[9], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
d4f5f2b94c32a6a907c70f32afb819f2 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [48, 204], "expectation_value": -3.6420616730396898, "params": [[[0.49910000000000004, 0.0407, 0.0033, 0.0099], [0.4781, -0.23470000000000002, 0.2906, 0.1236], [0.0196, -0.38630000000000003, -0.0149, -0.40940000000000004], [0.0221, -0.248, 0.2323, -0.2891], [0.505, 0.0047, 0.2869, 0.0057], [0.500400000000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(6) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -1.0 * Z(4) + -0... | 11 | 8 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["00110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4991) q[0];
rz(0.0407) q[0];
ry(0.4781) q[1];
rz(-0.2347) q[1];
ry(0.0196) q[2];
rz(-0.3863) q[2];
ry(0.0221) q[3];
rz(-0.248) q[3];
ry(0.505) q[4];
rz(0.0047) q[4];
ry(0.5004) q[5];
rz(-0.0219) q[5];
ry(0.0925) q[6];
rz(0.1205) q[6];
ry(0.0033) 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": []} |
1779337858150862282 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [4, 5], [1, 2, 3]]} | {"states": [13, 14], "expectation_value": -0.025337564954546452, "params": [[0.0698], [-0.0737]], "bitstrings": ["110010", "110001"], "total_optimization_steps": 10, "probabilities": [0.01642988317683093, 0.01642988317683093], "optimization_time": 0.4063882827758789} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["000110", "101010", "101001", "000101", "110001", "110010"]} | 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(0.0698) q[0];
cx q[3], q[0];
cx q[5], q[4];
rz(0.0698) q[4];
cx q[5], q[4];
cx q[3], q[1];
rz(0.0233) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0233) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.0233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [3, 19], "expectation_value": -1.4916249158712227, "params": [0.033100000000000004, 0.0332, 0.19890000000000002, 0.1998, 0.1295, 0.1345, 0.14020000000000002, 0.1433, 0.2069, 0.2069, 0.20040000000000002, 0.2015, 0.032100000000000004, 0.029, 0.19970000000000002, 0.19790000000000002, 0.1301, 0.1253, 0.140700000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 14 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["110100", "101100", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0331) q[0];
ry(0.1989) q[1];
ry(0.1295) q[2];
ry(0.1402) q[3];
ry(0.2069) q[4];
ry(0.2004) q[5];
crx(-0.0523) q[5], q[0];
crx(0.1948) q[4], q[5];
crx(0.1733) q[3], q[4];
crx(0.1249) q[2], q[3];
crx(0.0946) q[1], q[2];
crx(-0.0738) q[0], q[1];
ry(0.0332) 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": []} |
eaf152c9366c1fc70b9994ec462b6b4c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -31.848070256314145, "params": [[0.0245, 0.0025, -0.0024000000000000002, -0.0064], [-0.0765, -0.065, -0.0567, -0.038400000000000004]], "bitstrings": ["10000100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.013375013929402426, 0.01684761733082528], "optimi... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"]} | 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(0.1715) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1715) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1715) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1715) q[3];
cx q[1], q[3];
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[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 3, "target": 5}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.016459293660454784, "params": [[-0.07350000000000001], [0.0758]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.00026087909688423967, 0.0002608790968842398], "optimization_time": 5.642068862915039} | 0.25 * (Z(0) @ Z(1)) + -0.0015 * (Z(2) @ Z(0)) + -0.0015 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0005000000000000001 * (Z(4) @ Z(0)) + -0.0020000000000000005 * (Z(4) @ Z(2)) + 0.0005000000000000001 * (Z(5) @ Z(1)) + -0.0020000000000000005 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005000000000000001 * (Z(6) @ Z(0))... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.519499999999999, -1.519499999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5154999999999998, "smallest_bitstrings": ["101010010101", "010101101010"]} | 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(-0.0368) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0002) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
28867858393139810 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5], [0, 1, 2, 6], [2, 3, 4, 5, 6], [1, 4, 5], [0, 2, 3, 4, 6], [0, 2, 5, 6], [0, 1, 3, 6]]} | {"states": [59, 122], "expectation_value": -0.690895903280086, "params": [[0.2742], [-0.27790000000000004]], "bitstrings": ["1000100", "0000101"], "total_optimization_steps": 30, "probabilities": [0.013572231654288565, 0.013572231654288565], "optimization_time": 2.8805902004241943} | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.15000000000000002 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.15000000000000002 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.26666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6833333333333333, -1.6833333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6, "smallest_bitstrings": ["0000101", "1000100"]} | 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(0.1462) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0823) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1005) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0823) q[4];
cx q[2], q[4];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
2782377586474911333 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5, 6], [8, 2, 7], [5, 7], [0, 2], [1, 2, 4, 5], [8, 1], [1, 3, 5]]} | {"states": [105, 121], "expectation_value": -2.5627818959351223, "params": null, "bitstrings": ["110010110", "110000110"], "total_optimization_steps": 53, "probabilities": [0.08865208326152185, 0.7216052086255242], "optimization_time": 94.29349327087402} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.666666666666666, -2.666666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["100001001", "110000110"]} | 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(1.3603) q[5];
cry(-1.2221) q[5], q[7];
ry(1.3498) q[2];
cry(-1.4399) q[2], q[0];
cry(-1.0802) q[8], q[1];
ry(0.965) q[8];
cry(-0.6584) q[5], q[1];
cry(0.4393) q[5], q[8];
ry(-0.3343) q[... | 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(1.3603) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
ce16507f4df4b68459e3b5a73265e8de | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [892, 1023], "expectation_value": -11.4738454970596, "params": null, "bitstrings": ["0010000011", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.08554027293416497, 0.48988994516617307], "optimization_time": 154.80033111572266} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[2], q[8];
cry(1.5708) q[8], q[9];
cry(1.5706) q[1], q[3];
ry(1.056) q[1];
cry(1.5707) q[1], q[0];
cry(1.5701) q[3], q[4];
ry(0.3717) q[3];
cry(1.5681) q[7], q[6];
r... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[2], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | adaptive_vqe | {"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": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [3, 11], "expectation_value": -9.204633213247385, "params": null, "bitstrings": ["111100", "110100"], "total_optimization_steps": 22, "probabilities": [0.21104498409550887, 0.21288599334318353], "optimization_time": 15.218572854995728} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110100", "110110"]} | 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(-1.5708) q[1];
cry(-1.5708) q[5], q[0];
ry(1.0383) q[5];
ry(-0.2253) q[0];
cry(-0.3351) q[4], q[0];
cry(0.3921) q[4], q[5];
cry(-0.2486) q[2], q[0];
cry(0.2448) q[2], q[5];
cry(-0.3432) q[0],... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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... |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [28, 30], "expectation_value": -0.9467924911295413, "params": [[0.0687, 0.0671, 0.0766], [-0.0753, -0.056600000000000004, -0.0665]], "bitstrings": ["100011", "100001"], "total_optimization_steps": 10, "probabilities": [0.02508281978965292, 0.028403065423505514], "optimization_time": 5.954809665679932} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"]} | 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(0.0687) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0687) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0687) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0687) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0687... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
110ccb9120c3a18cb42667e155d31d5e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [34, 290], "expectation_value": -7.268443381821507, "params": [[[0.5912000000000001, 0.0033], [-0.0143, 0.30260000000000004], [0.3498, 0.0436], [0.5908, 0.0017000000000000001], [0.002, 0.3257], [-0.0095, 0.2974], [-0.0022, -0.3008], [0.6026, -0.001], [0.0023, -0.3351]], [[0.5908, 0.0034000000000000002], [-0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.5, "smallest_bitstrings": ["011011101", "111001011", "101110110", "011001111", "101110101", "010111101", "110110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5912) q[0];
rz(0.0033) q[0];
rx(-0.0143) q[1];
rz(0.3026) q[1];
rx(0.3498) q[2];
rz(0.0436) q[2];
rx(0.5908) q[3];
rz(0.0017) q[3];
rx(0.002) q[4];
rz(0.3257) q[4];
rx(-0.0095) q[5];
rz(0.2974) q[5];
rx(-0.0022) q[6];
rz(-0.3008) q[6];
rx(0.6026) 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": []} |
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": [250, 218], "expectation_value": -32.816379943429354, "params": [[-0.0345, -0.0041, 0.0023, 0.014100000000000001], [0.0678, 0.0567, 0.0596, 0.0533]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.011306006708772794, 0.013815181021572257], "optimization_time": 8... | 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 | 4 | {"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(-0.3105) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3105) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3105) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3105) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
24dd029d08c4f4c30bd0035bbc602db0 | 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": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [101, 103], "expectation_value": -2.536753694662602, "params": [[[1.6131, 0.0027], [1.6059, 0.0037], [0.4621, 0.0024000000000000002], [0.0026000000000000003, 0.0045000000000000005], [1.6046, 0.008400000000000001], [1.6031, 0.005], [1.6136000000000001, 0.0063]]], "bitstrings": ["0011010", "0011000"], "total_o... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6131) q[0];
rz(0.0027) q[0];
rx(1.6059) q[1];
rz(0.0037) q[1];
rx(0.4621) q[2];
rz(0.0024) q[2];
rx(0.0026) q[3];
rz(0.0045) q[3];
rx(1.6046) q[4];
rz(0.0084) q[4];
rx(1.6031) q[5];
rz(0.005) q[5];
rx(1.6136) q[6];
rz(0.0063) q[6];
c[0] = measure q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [38, 7], "expectation_value": -6.6048679557373084, "params": null, "bitstrings": ["011001", "111000"], "total_optimization_steps": 54, "probabilities": [0.10494263610666708, 0.6036000662340474], "optimization_time": 67.56234335899353} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 13 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | 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];
cry(-1.5708) q[5], q[0];
ry(0.8148) q[5];
cry(-1.5708) q[4], q[2];
ry(0.7607) q[4];
cry(-1.5708) q[3], q[1];
ry(0.8901) q[3];
ry(-0.3824) q[1];
ry(-0.3222) q[0];
cry(-0.3012) q[3], q[2];
cry(0.4283) q[3], q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
8342312533572641236 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 5, 7], [4, 5], [2, 5, 6], [0, 2, 3], [1, 2, 4], [0, 1, 6], [0, 5], [2, 3, 5], [3, 6], [1, 3, 5], [2, 3, 7], [0, 3, 4]]} | {"states": [234, 248], "expectation_value": -1.3307689875451483, "params": [[-0.271], [0.2726]], "bitstrings": ["00010101", "00000111"], "total_optimization_steps": 30, "probabilities": [0.01128045161743818, 0.011550040237857363], "optimization_time": 3.8790218830108643} | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000018, "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[7], q[0];
rz(-0.271) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(-0.0903) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(-0.0903) q[1];
cx q[0], q[1];
cx q[7], q[5];
rz(-0.0903) q[5];
cx q[7], q[5];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(x1) q[1];
cx q[... | null | {"circuits": [], "gradients": []} |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 37], "expectation_value": -2.7973431492464513, "params": [[[-1.6656, 0.0078000000000000005], [-0.0023, 0.0041], [-0.0018000000000000002, 0.00030000000000000003], [3.1442, 0.0037], [-0.0023, 0.0005], [3.1436, 0.0002]]], "bitstrings": ["111010", "011010"], "total_optimization_steps": 410, "probabilities": ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-1.6656) q[0];
rz(0.0078) q[0];
rx(-0.0023) q[1];
rz(0.0041) q[1];
rx(-0.0018) q[2];
rz(0.0003) q[2];
rx(3.1442) q[3];
rz(0.0037) q[3];
rx(-0.0023) q[4];
rz(0.0005) q[4];
rx(3.1436) q[5];
rz(0.0002) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = mea... | 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | null | {"circuits": [], "gradients": []} |
52a84cd2bc9123b0710700a9ca0d5f69 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"sourc... | {"states": [254, 255], "expectation_value": -78.57172837787205, "params": [[[0.0023, 0.0021000000000000003], [0.0019, 0.002], [0.0018000000000000002, 0.002], [0.0019, 0.0019], [0.0019, 0.0019], [0.002, 0.0019], [0.0025, 0.0019], [-0.0022, 3.0076], [0.0019, 0.002], [-0.0028, 0.0026000000000000003], [0.0019, 0.0021000000... | -4.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -4.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + -4.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + -2.5... | 15 | 15 | 1 | {"smallest_eigenvalues": [-81.99999999999943], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.99999999999994, "smallest_bitstrings": ["111111100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.0023) q[0];
ry(0.0019) q[1];
ry(0.0018) q[2];
ry(0.0019) q[3];
ry(0.0019) q[4];
ry(0.002) q[5];
ry(0.0025) q[6];
ry(-0.0022) q[7];
ry(0.0019) q[8];
ry(-0.0028) q[9];
ry(0.0019) q[10];
ry(0.0019) q[11];
ry(0.0022) q[12];
ry(1.6008) q[13];
ry(0.0024) q[14... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 6} | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -20.04698044054382, "params": [[[-0.0092, 0.18710000000000002], [-0.0006000000000000001, 0.2539], [-0.001, 0.2587], [-0.0152, -0.1958], [0.39840000000000003, 0.0017000000000000001]], [[-0.0126, 0.1827], [-0.0022, 0.2459], [0.0017000000000000001, 0.2374], [-0.011600000000000001, -... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0092) q[0];
rz(0.1871) q[0];
rx(-0.0006) q[1];
rz(0.2539) q[1];
rx(-0.001) q[2];
rz(0.2587) q[2];
rx(-0.0152) q[3];
rz(-0.1958) q[3];
rx(0.3984) q[4];
rz(0.0017) q[4];
rx(-0.0126) q[0];
rz(0.1827) q[0];
rx(-0.0022) q[1];
rz(0.2459) q[1];
rx(0.0017) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
f6494d29a2885917ea72724ca31dc87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -0.24882344035663811, "params": [[-0.019100000000000002, -0.0252], [0.0064, 0.015600000000000001]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002170140075032482, 0.0021828540656639982], "optimization_time": 20.128808736801147} | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "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[6], q[0];
rz(0.0287) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(0.0478) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.0191) q[7];
cx q[0], q[7];
cx q[6], q[8];
rz(0.0096) q[8];
cx q[6], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -3.9963046828491047, "params": null, "bitstrings": ["110001", "010101"], "total_optimization_steps": 22, "probabilities": [0.06706466845670207, 0.9295035070622214], "optimization_time": 14.298496007919312} | 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 | 1 | {"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];
ry(-1.5708) q[1];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[2];
cry(-1.0398) q[0], q[3];
ry(0.6944) q[0];
ry(-0.451) q[3];
cry(0.4963) q[4], q[0];
cry(-0.3778) q[4], q[3];
cry(0.2518) q[2], q[0];
cry(-0.149... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [197, 236], "expectation_value": -3.5103114489764295, "params": null, "bitstrings": ["00111010", "00010011"], "total_optimization_steps": 43, "probabilities": [0.057279452107917815, 0.8498965515177191], "optimization_time": 79.26921391487122} | 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 | 8 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"]} | 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(-1.5158) q[3];
ry(-1.5158) q[6];
ry(1.4446) q[0];
ry(1.0332) q[5];
cry(-1.2413) q[2], q[7];
ry(1.2903) q[1];
ry(0.8024) q[2];
cry(-0.6817) q[5], q[7];
cry(1.3232) q[2], q[4];
cry(0.474) q[0], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5158) 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... |
69c9ce86bfac888cdfb5b3c0db4fe232 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [995, 1023], "expectation_value": -13.031529350389281, "params": null, "bitstrings": ["0000011100", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.07814913094214478, 0.3671605275982785], "optimization_time": 155.52243757247925} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(2)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[5], q[7];
cry(1.5706) q[3], q[4];
ry(1.056) q[3];
cry(1.5708) q[1], q[0];
ry(1.115) q[1];
ry(0.556) q[0];
ry(0.5144) q[4];
cry(1.5706) q[5], q[6];
cry(0.838) q[7], ... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
8130d1fdc00d4ec4e1ba0f90ff0cbbc5 | 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": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [1903, 1902], "expectation_value": -3.258278357025072, "params": [[[0.29700000000000004, 0.0092], [2.3036000000000003, 0.0066], [2.2943000000000002, 0.0034000000000000002], [2.3049, 0.0051], [-0.0021000000000000003, 0.0081], [2.2946, 0.0016], [2.3006, 0.0051], [-0.0026000000000000003, 0.0014], [2.3065, 0.008... | 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)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.1875, -5.1875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.1875, "smallest_bitstrings": ["001010010010", "100010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.297) q[0];
rz(0.0092) q[0];
rx(2.3036) q[1];
rz(0.0066) q[1];
rx(2.2943) q[2];
rz(0.0034) q[2];
rx(2.3049) q[3];
rz(0.0051) q[3];
rx(-0.0021) q[4];
rz(0.0081) q[4];
rx(2.2946) q[5];
rz(0.0016) q[5];
rx(2.3006) q[6];
rz(0.0051) q[6];
rx(-0.0026) 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": []} |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 26], "expectation_value": -3.9999003248204605, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 28, "probabilities": [1.7187519565460784e-05, 0.9999500716492428], "optimization_time": 17.546618700027466} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | 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[0];
ry(-1.4449) q[3];
ry(-1.4449) q[5];
ry(1.4417) q[2];
ry(1.4417) q[1];
ry(1.4384) q[4];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[4], q[5];
cry(0.1246) q[2], q[4];
cry(0.1218) q[4], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
48bc2fe3cb79b98fee18d505d1ebe59b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [4055, 4053], "expectation_value": -3.1092338906860433, "params": [[-0.0009000000000000001, 1.3457000000000001, 0.0167, 0.544, 0.5409, 0.010400000000000001, 1.4220000000000002, 0.014700000000000001, 2.2232000000000003, -0.0158, 0.931, 0.0115, 1.6636000000000002], [0.1332, 1.7891000000000001, 2.2837, 2.3035, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 10 | 13 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75],... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0009) q[0];
ry(1.3457) q[1];
ry(0.0167) q[2];
ry(0.544) q[3];
ry(0.5409) q[4];
ry(0.0104) q[5];
ry(1.422) q[6];
ry(0.0147) q[7];
ry(2.2232) q[8];
ry(-0.0158) q[9];
ry(0.931) q[10];
ry(0.0115) q[11];
ry(1.6636) q[12];
cz q[12], q[11];
cz q[11], q[10];
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": []} |
23529db270bae4def52806aeae1d449e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [187, 1019], "expectation_value": -12.167323842533756, "params": null, "bitstrings": ["1101000100", "0000000100"], "total_optimization_steps": 100, "probabilities": [0.09907615160858281, 0.4990373322593751], "optimization_time": 145.89254021644592} | -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)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5681) q[8], q[9];
ry(1.0829) q[8];
cry(1.5701) q[9], q[2];
ry(0.3995) q[9];
cry(1.5681) q[5], q[6];
ry(1.0829) q[5];
cry(1.5701) q[6], q[4];
cry(0.4303) q[4], q[6];
cry(1.5... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5681) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
9994d9c0864e8ab88d6d9169e088b46e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [76, 14], "expectation_value": -3.496446971446745, "params": null, "bitstrings": ["0110011", "1110001"], "total_optimization_steps": 24, "probabilities": [0.06701327016213256, 0.9297036996979784], "optimization_time": 20.4397554397583} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100101", "1011100", "1110001", "1010101", "1101100", "0110011"]} | 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(-1.5681) q[2];
ry(-1.4449) q[1];
ry(-1.4449) q[6];
ry(1.4417) q[3];
ry(1.4384) q[4];
cry(-1.0398) q[5], q[0];
ry(0.7022) q[5];
cry(-0.1259) q[4], q[6];
ry(-0.4578) q[0];
cry(0.4969) q[3], q[5];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
dc7b16900656e5534d14ef7dd25bde91 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 182], "expectation_value": -53.43579020483238, "params": [0.0434, 0.0258, 0.4934, 0.5006, 0.27540000000000003, 0.2833, 0.4929, 0.48450000000000004, 0.4893, 0.4918, 0.17470000000000002, 0.1769, 0.4938, 0.496, 0.48050000000000004, 0.48650000000000004, 0.0145, 0.0637, 0.0077, -0.0114, 0.49560000000000004,... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 12.5 * Z(1) + -2.5 * Z(0) + 9.0 * Z(3) + 12.0 * Z(2) + 4.0 * Z(5) + 6.5 * Z(4) + 6.0 * Z(6) + 9.0 * Z(7) + -2.5 * Z(8) | 14 | 9 | 3 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0434) q[0];
ry(0.4934) q[1];
ry(0.2754) q[2];
ry(0.4929) q[3];
ry(0.4893) q[4];
ry(0.1747) q[5];
ry(0.4938) q[6];
ry(0.4805) q[7];
ry(0.0145) q[8];
crx(0.2818) q[8], q[0];
crx(-0.1852) q[7], q[8];
crx(0.4797) q[6], q[7];
crx(0.3452) q[5], q[6];
crx(-0.362... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
190b9e209adb3e0aadea8d3d462a7035 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [504, 509], "expectation_value": -1.7495229394169405, "params": [[0.0771], [-0.0648]], "bitstrings": ["000000111", "000000010"], "total_optimization_steps": 10, "probabilities": [0.003179331903717272, 0.0032374848117080134], "optimization_time": 4.201688528060913} | -2.0 * (Z(0) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000010", "000000111"]} | 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[3], q[0];
rz(-0.3084) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.4626) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.3855) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.3855) q[1];
cx q[3], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(x0) q[0];
... | {"node": 9} | {"circuits": [], "gradients": []} |
6478386096857899950 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[4, 5, 7, 9, 10], [1, 2, 4], [8, 9, 2], [2, 11, 5, 7], [8, 4, 5], [1, 7], [8, 9, 10, 4], [0, 2, 10, 4], [0, 11], [0, 2, 3, 5], [8, 10, 11], [1, 3], [1, 10], [0, 2, 4, 7, 9], [11, 4, 5, 7], [9, 4, 6, 1], [8, 6, 7]]} | {"states": [947, 951], "expectation_value": -4.386240193296233, "params": [[[0.37020000000000003, 0.0014], [0.053700000000000005, 0.0017000000000000001], [3.1398, 0.0024000000000000002], [3.1398, 0.009000000000000001], [3.1399000000000004, 0.0066], [1.4522000000000002, 0.0061], [3.1397, 0.0022], [3.1399000000000004, 0.... | 0.3 * (Z(4) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.05 * (Z(9) @ Z(5)) + 0.26666666666666666 * (Z(9) @ Z(4)) + 0.1 * (Z(9) @ Z(7)) + 0.05 * (Z(10) @ Z(5)) + 0.21666666666666667 * (Z(10) @ Z(4)) + 0.05 * (Z(10) @ Z(7)) + 0.13333333333333333 * (Z(10) @ Z(9)) + 0.25 * (Z(1) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.150000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.866666666666668, "smallest_bitstrings": ["110001001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3702) q[0];
rz(0.0014) q[0];
rx(0.0537) q[1];
rz(0.0017) q[1];
rx(3.1398) q[2];
rz(0.0024) q[2];
rx(3.1398) q[3];
rz(0.009) q[3];
rx(3.1399) q[4];
rz(0.0066) q[4];
rx(1.4522) q[5];
rz(0.0061) q[5];
rx(3.1397) q[6];
rz(0.0022) q[6];
rx(3.1399) 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": []} |
7805086713239949432 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 4, 5], [0, 8, 6, 7], [0, 9, 2], [0, 10, 4], [4, 5, 7], [2, 6], [0, 11], [9, 3], [10, 11, 7], [10, 3, 5], [0, 8, 4], [9, 1], [3, 4, 6, 7, 11], [5, 6, 7, 9, 11], [8, 1, 2, 7], [11, 10, 2], [8, 11, 5], [9, 10, 4], [8, 3], [8, 9, 6], [0, 5, 7], [1, 3], [... | {"states": [2775, 2711], "expectation_value": -6.420465954839269, "params": [[[3.1444, 0.0053, 0.0013000000000000002, 0.0006000000000000001], [1.5679, -0.0028, 0.7878000000000001, 0.0077], [3.1442, 0.0073, 0.0034000000000000002, 0.0019], [1.5414, -0.0028, 0.7744000000000001, 0.0083], [3.144, 0.0024000000000000002, 0.00... | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.6666666666666666 * (Z(10) @ Z(6)) + 0.3333333333333333 * (Z(10) @ Z(7)) + 0.25 * (Z(10) @ Z(0)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7... | 12 | 12 | 1 | {"smallest_eigenvalues": [-7.050000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.866666666666666, "smallest_bitstrings": ["010101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(3.1444) q[0];
rz(0.0053) q[0];
ry(1.5679) q[1];
rz(-0.0028) q[1];
ry(3.1442) q[2];
rz(0.0073) q[2];
ry(1.5414) q[3];
rz(-0.0028) q[3];
ry(3.144) q[4];
rz(0.0024) q[4];
ry(-0.5902) q[5];
rz(2.3562) q[5];
ry(5.0497) q[6];
rz(0.0061) q[6];
ry(1.5726) 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": []} |
7149404951662742046 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2], [0, 1, 2], [9, 5], [3, 6, 7], [0, 4, 6], [0, 8, 2], [4, 5, 7], [8, 2, 6], [0, 3, 5], [2, 7], [1, 2, 3], [9, 3, 6], [0, 4, 7], [8, 1], [1, 7]]} | {"states": [506, 504], "expectation_value": -4.338453856387066, "params": [0.1847, 0.0198, -0.2021, 0.007500000000000001, -0.6528, 0.026600000000000002, -1.4087, 0.0091, 1.8497000000000001, 0.013900000000000001, 1.2579, 0.0092, 2.1381, 0.0167, 1.0135, 0.0029000000000000002, 2.2141, 0.0098, 0.9281, 0.009000000000000001,... | 0.5 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.1666666666... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1847) q[0];
rz(0.0198) q[0];
rx(-0.6528) q[1];
rz(0.0266) q[1];
rx(1.8497) q[2];
rz(0.0139) q[2];
rx(2.1381) q[3];
rz(0.0167) q[3];
rx(2.2141) q[4];
rz(0.0098) q[4];
rx(1.9757) q[5];
rz(0.0148) q[5];
rx(2.4468) q[6];
rz(0.0112) q[6];
rx(3.1444) 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": []} |
e15c799417e3389a9cf7bb88f030f20b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [16257, 16383], "expectation_value": -14.122972497024824, "params": [[[-0.0026000000000000003, 1.9082000000000001], [-0.003, -0.0027], [-0.0034000000000000002, -0.0024000000000000002], [-0.0032, -0.003], [-0.0023, -0.0022], [-0.0019, 0.0018000000000000002], [0.0019, -0.0017000000000000001], [-0.5683, 1.2704]... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + -1.5 * (Z(13) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(13)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5... | 15 | 14 | 1 | {"smallest_eigenvalues": [-19.499999999999925], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.49999999999986, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(-0.0026) q[0];
ry(-0.003) q[1];
ry(-0.0034) q[2];
ry(-0.0032) q[3];
ry(-0.0023) q[4];
ry(-0.0019) q[5];
ry(0.0019) q[6];
ry(-0.5683) q[7];
ry(-0.0027) q[8];
ry(-0.0028) q[9];
ry(0.0023) q[10];
ry(-0.0028) q[11];
ry(-0.0025) q[12];
ry(-0.0026) q[13];
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[... | {"node": 14} | {"circuits": [], "gradients": []} |
bfdf48849280d388eb48018fbf3b92a5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [37, 45], "expectation_value": -4.147826987766883, "params": [-0.0034000000000000002, 0.0005, -0.0027, 0.0078000000000000005, 0.2604, 0.0049, 1.6938, 0.008400000000000001, 1.4782000000000002, 0.0013000000000000002, 1.6506, 0.0067, 1.713, 0.0023, 1.2322, 0.0035, 1.7037, 0.0007, 0.0064, 0.0025, 0.0045000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.5 *... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["110101010", "111010010", "110110010", "111110000", "111001010", "111101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0034) q[0];
rz(0.0005) q[0];
rx(-0.0027) q[1];
rz(0.0078) q[1];
rx(0.2604) q[2];
rz(0.0049) q[2];
rx(1.6938) q[3];
rz(0.0084) q[3];
rx(1.4782) q[4];
rz(0.0013) q[4];
rx(1.6506) q[5];
rz(0.0067) q[5];
rx(1.713) q[6];
rz(0.0023) q[6];
rx(1.2322) 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": []} |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [13, 7], "expectation_value": -6.6950309953721945, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10881682250307842, 0.5951549079003051], "optimization_time": 61.879236459732056} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[1];
ry(0.8148) q[5];
cry(-1.5708) q[3], q[0];
ry(0.918) q[3];
cry(-1.5708) q[4], q[2];
ry(0.66) q[4];
ry(-0.4046) q[0];
ry(-0.3102) q[1];
cry(0.3876) q[5], q[3];
cry(0.3681) q[3], q[5];
cry(-... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
9113918706603586927 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [0, 1, 2, 3, 6], [4, 5]]} | {"states": [27, 51], "expectation_value": -0.011286123629541268, "params": [[0.061900000000000004], [-0.0483]], "bitstrings": ["1100100", "1001100"], "total_optimization_steps": 10, "probabilities": [0.00798074890407208, 0.007980748904072084], "optimization_time": 0.6238300800323486} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(3)) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332],... | 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(0.0268) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0206) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0206) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0062) q[1];
cx q[2], q[1];
cx q[0], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} |
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