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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
33d8a5842de922447f6c6633124906d8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [622, 614], "expectation_value": -81.61906073666327, "params": [0.2904, 0.4641, 0.904, 0.22740000000000002, 0.0027, 0.5487000000000001, -0.002, 0.6101, 0.9026000000000001, -0.004, 0.9037000000000001, 0.2363, 0.22940000000000002, 0.4364, 0.4637, -0.16970000000000002, 0.9066000000000001, 0.0071, 0.899, 0.21050... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 2.5 * Z(0) + 6.0 * Z(1) + -3.0 * Z(2) + -5.5 * Z(3) + 6.0 * Z(4) + 0.5 * Z(6) + 9.5 * Z(5) + 10.0 ... | 18 | 11 | 3 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["10110011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2904) q[0];
rz(0.4641) q[0];
rx(0.904) q[1];
rz(0.2274) q[1];
rx(0.0027) q[2];
rz(0.5487) q[2];
rx(-0.002) q[3];
rz(0.6101) q[3];
rx(0.9026) q[4];
rz(-0.004) q[4];
rx(0.9037) q[5];
rz(0.2363) q[5];
rx(0.2294) q[6];
rz(0.4364) q[6];
rx(0.4637) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
3226404029621620096 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [2, 5], [4, 5], [3, 5], [1, 4], [4, 6], [0, 7]]} | {"states": [368, 115], "expectation_value": -2.94886391596647, "params": null, "bitstrings": ["010001111", "110001100"], "total_optimization_steps": 79, "probabilities": [0.04514043600096163, 0.6299874726738183], "optimization_time": 90.6544177532196} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110011", "110001100", "010001111", "101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[8], q[0];
cry(-1.0342) q[4], q[1];
ry(0.7625) q[4];
cry(-1.31) q[4], q[6];
cry(-0.7068) q[3], q[5];
cry(1.1319) q[4], q[3];
cry(1.2433) q[3], q[2];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 44], "expectation_value": -0.66821331619224, "params": [[0.0755, 0.06960000000000001, 0.06520000000000001], [-0.0753, -0.0637, -0.0533]], "bitstrings": ["011100", "010011"], "total_optimization_steps": 10, "probabilities": [0.024562634276936775, 0.025682172065520207], "optimization_time": 3.056716918945... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"]} | 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(0.0755) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0755) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0755) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(0.0755) q[5];
cx q[1], q[5];
cx q[2], q[5];
rz(0.0755... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [21, 1], "expectation_value": -1.7222857940753333, "params": [[0.0608, 0.0604, 0.04], [-0.0436, -0.0509, -0.0439]], "bitstrings": ["11101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009043178244216809, 0.010465296442730285], "optimization_time": 4.182311058044434} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 3 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "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[2], q[0];
rz(-0.0608) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0304) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0608) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(-0.2736) q[6];
cx q[2], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4c97295c4d10fd438512879e76a3fa94 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [124, 118], "expectation_value": -26.255295786823012, "params": [[0.046200000000000005, -0.0044], [-0.17200000000000001, -0.14400000000000002]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 20, "probabilities": [0.027628166587955034, 0.028006339629773117], "optimization_time": 4.098588... | 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(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "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(0.3696) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3696) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3696) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3696) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
49fdc4fc2f47778ac781086be11cae29 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1992, 968], "expectation_value": -106.150048124165, "params": [0.77, 0.3241, 1.3983, 0.0002, 1.3918000000000001, -0.0031000000000000003, 1.3982, -0.002, 1.4057000000000002, 0.2665, 0.39230000000000004, 0.5465, -0.0029000000000000002, 0.8631000000000001, 1.4033, 0.2776, 0.41950000000000004, 0.5554, -0.0002, ... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(7)) + 19.0 * Z(2... | 18 | 11 | 2 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10000110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.77) q[0];
rz(0.3241) q[0];
rx(1.3983) q[1];
rz(0.0002) q[1];
rx(1.3918) q[2];
rz(-0.0031) q[2];
rx(1.3982) q[3];
rz(-0.002) q[3];
rx(1.4057) q[4];
rz(0.2665) q[4];
rx(0.3923) q[5];
rz(0.5465) q[5];
rx(-0.0029) q[6];
rz(0.8631) q[6];
rx(1.4033) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
66f75df6a73731ca3dfcd77bd9b8f9a8 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [0, 111], "expectation_value": -3.418061388147848, "params": [-0.3149, 0.21880000000000002, -0.3012, 0.12810000000000002, -0.3134, 0.3156, -0.3068, 0.10490000000000001, -0.0918, 0.24780000000000002, -0.19640000000000002, 0.4252, 0.34500000000000003, 0.0492, 0.3052, 0.3528, 0.3457, 0.024800000000000003, 0.306... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 6 | 7 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.3149) q[0];
rz(0.2188) q[0];
rx(-0.3134) q[1];
rz(0.3156) q[1];
rx(-0.0918) q[2];
rz(0.2478) q[2];
rx(0.345) q[3];
rz(0.0492) q[3];
rx(0.3457) q[4];
rz(0.0248) q[4];
rx(0.3571) q[5];
rz(0.0113) q[5];
rx(0.3578) q[6];
rz(0.0482) q[6];
crx(0.2423) q[6], 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"node": 3} | {"circuits": [], "gradients": []} |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [19, 1], "expectation_value": -15.28160671909044, "params": null, "bitstrings": ["1101100", "1111110"], "total_optimization_steps": 28, "probabilities": [0.1492731531067702, 0.8377857041610112], "optimization_time": 27.532500982284546} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"]} | 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(1.5708) q[5], q[2];
ry(1.5708) q[6];
cry(-1.5708) q[6], q[0];
cry(-1.5708) q[6], q[4];
ry(-1.5708) q[3];
ry(-1.5708) q[1];
ry(-1.4056) q[2];
ry(-1.2553) q[5];
cry(-0.801) q[6], q[2];
cry(-0.017) q[6],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[5], 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]... |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 37], "expectation_value": -2.3403891236552696, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 31, "probabilities": [0.09171740636696295, 0.7966511080330144], "optimization_time": 36.08568620681763} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"]} | 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[2];
cry(-1.3016) q[3], q[4];
ry(1.2942) q[5];
cry(-1.3048) q[0], q[1];
ry(0.7841) q[0];
ry(-0.5322) q[1];
ry(0.7829) q[3];
cry(0.505) q[5], q[0];
ry(-0.4525) q[4];
cry(0.4531) q[5], q[3];
cry(-0.286... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
cf866b0685f0f2b92fc41e952765f334 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [23, 31], "expectation_value": -6.49998726393998, "params": null, "bitstrings": ["1101000", "1100000"], "total_optimization_steps": 36, "probabilities": [0.49999818069426316, 0.49999818069426316], "optimization_time": 35.975173234939575} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | 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[2];
cry(1.5681) q[2], q[5];
cry(1.5486) q[2], q[4];
cry(1.5681) q[2], q[6];
cry(-1.5706) q[2], q[0];
cry(-1.5681) q[2], q[1];
ry(0.0222) q[4];
cry(-0.0002) q[6], q[0];
cry(-0.0027) q[6], q[1]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -12.608158514978578, "params": [0.0033, 0.0041, 0.0025, 0.0034000000000000002, 0.0024000000000000002, 0.0028, 0.0023, 0.0012000000000000001, 0.0023, 0.007, 0.0023, 0.0095, 0.0026000000000000003, 0.006500000000000001, 0.0023, 0.0059, 1.6141, 0.0002, 0.007, 0.0081, 0.0051, 0.0033, ... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0033) q[0];
rz(0.0041) q[0];
rx(0.0025) q[1];
rz(0.0034) q[1];
rx(0.0024) q[2];
rz(0.0028) q[2];
rx(0.0023) q[3];
rz(0.0012) q[3];
rx(0.0023) q[4];
rz(0.007) q[4];
rx(0.0023) q[5];
rz(0.0095) q[5];
rx(0.0026) q[6];
rz(0.0065) q[6];
rx(0.0023) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -15.361953434616456, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 50, "probabilities": [0.10929342150093539, 0.6388706778346432], "optimization_time": 54.19690489768982} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | 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(-0.069) q[0];
ry(-0.1999) q[1];
ry(-0.3716) q[2];
ry(-0.8892) q[3];
cry(-1.199) q[5], q[2];
cry(-1.5018) q[4], q[0];
cry(-1.3709) q[5], q[1];
ry(0.9839) q[4];
cry(-0.6816) q[4], q[3];
ry(0.5496) q[5];
cry(-0.4... | null | {"k": 4} | {"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(-0.069) 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 \"stdgat... |
800f779aab5ac71650acd9af8d6964c8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -22.864627285265637, "params": null, "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 87, "probabilities": [0.1081261806680195, 0.6151537257450127], "optimization_time": 195.66196942329407} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 6 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | 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(-0.7752) q[3];
ry(-0.2982) q[4];
ry(-0.9561) q[0];
cry(-1.2721) q[7], q[4];
cry(-0.7941) q[6], q[3];
cry(-1.5708) q[5], q[2];
ry(1.0183) q[5];
cry(-1.5708) q[6], q[1];
ry(0.8731) q[6];
cry(-0.6... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) 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... |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 93], "expectation_value": -3.1570796975267292, "params": null, "bitstrings": ["11000010", "10100010"], "total_optimization_steps": 55, "probabilities": [0.07330224985660826, 0.7568195485491375], "optimization_time": 130.2730746269226} | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["10100010"]} | 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(-1.4868) q[0];
cry(-1.3016) q[4], q[6];
cry(-1.3016) q[1], q[2];
ry(1.2941) q[3];
ry(1.2938) q[5];
ry(0.7825) q[4];
ry(-0.6333) q[6];
ry(0.7818) q[1];
ry(-0.633) q[2];
cry(1.1588) q[4], q[7];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.4868) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
3531386beba6b0774804490460b57cef | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -16.841677121747747, "params": [0.0004, -0.1524, 0.0008, -0.1444, -0.0043, -0.2207, -0.0035, -0.22390000000000002, 0.0005, -0.2021, -0.0038, -0.2263, -0.0056, -0.2117, -0.0012000000000000001, -0.21050000000000002, -0.0035, -0.20850000000000002, -0.0047, -0.2028, -0.0033, -0.21910... | -1.0 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0004) q[0];
rz(-0.1524) q[0];
rx(-0.0043) q[1];
rz(-0.2207) q[1];
rx(0.0005) q[2];
rz(-0.2021) q[2];
rx(-0.0056) q[3];
rz(-0.2117) q[3];
rx(-0.0035) q[4];
rz(-0.2085) q[4];
rx(-0.0033) q[5];
rz(-0.2191) q[5];
rx(-0.0003) q[6];
rz(-0.2206) q[6];
rx(-0.0016... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-7008750027838691469 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 4, 5, 7, 8], [0, 1, 3, 4, 5, 6, 7, 8, 9], [0, 2, 3, 4, 5, 7, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 9], [2, 3, 5, 6, 8], [1, 2, 3, 4, 5, 7, 8, 9], [0, 1, 2, 4, 5, 6, 7, 8]]} | {"states": [955, 947], "expectation_value": -1.1724935190908945, "params": [1.5812000000000002, -0.006900000000000001, 1.5664, 0.0083, 1.5417, 0.0031000000000000003, 1.595, 0.0083, 1.8594000000000002, 0.0149, 1.2721, 0.0081, 0.2023, 1.0384, 0.1942, 0.0027, 0.9037000000000001, -0.4117, 0.9429000000000001, 0.0035, 1.3960... | 0.06349206349206349 * (Z(0) @ Z(1)) + 0.06746031746031746 * (Z(2) @ Z(1)) + 0.06746031746031746 * (Z(2) @ Z(0)) + 0.06349206349206349 * (Z(3) @ Z(1)) + 0.06349206349206349 * (Z(3) @ Z(0)) + 0.11746031746031746 * (Z(3) @ Z(2)) + 0.08134920634920634 * (Z(4) @ Z(1)) + 0.08134920634920634 * (Z(4) @ Z(0)) + 0.08531746031746... | 7 | 10 | 1 | {"smallest_eigenvalues": [-1.2476190476190478], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2476190476190474, "smallest_bitstrings": ["0001001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5812) q[0];
rz(-0.0069) q[0];
rx(1.5417) q[1];
rz(0.0031) q[1];
rx(1.8594) q[2];
rz(0.0149) q[2];
rx(0.2023) q[3];
rz(1.0384) q[3];
rx(0.9037) q[4];
rz(-0.4117) q[4];
rx(1.396) q[5];
rz(-0.1733) q[5];
rx(0.7996) q[6];
rz(0.5949) q[6];
rx(0.2041) 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": []} |
-7856415917632805201 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 1], [3, 7], [0, 7], [0, 4], [1, 2], [3, 6], [2, 3], [0, 6], [4, 5], [2, 4]]} | {"states": [35, 75], "expectation_value": -4.023185445149134, "params": null, "bitstrings": ["11011100", "10110100"], "total_optimization_steps": 62, "probabilities": [0.04060172979492973, 0.8155010744887193], "optimization_time": 82.34298372268677} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110100", "01001011"]} | 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[7], q[0];
cry(-1.0342) q[4], q[2];
ry(1.0293) q[4];
cry(1.4052) q[4], q[1];
cry(-0.9035) q[1], q[2];
cry(-0.7688) q[4], q[0];
ry(1.2466) q[7];
cry(-1.5552) q[7], q[5];
cry(1.3682) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
f0c12db79dee0b687c7216d34d2c80e9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -0.45940895762104145, "params": [[-0.0166, -0.032600000000000004, -0.047, -0.054200000000000005], [-0.0103, 0.009600000000000001, 0.047, 0.0577]], "bitstrings": ["1111110", "1101110"], "total_optimization_steps": 10, "probabilities": [0.011836085349139975, 0.012173064074364352],... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.0083) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0083) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0083) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0083) q[4];
cx q[1], 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] 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": []} |
617e82648c426125f57348098f65c553 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [881, 865], "expectation_value": -100.79229859971878, "params": [-0.00030000000000000003, 0.40690000000000004, 0.6999000000000001, 0.0034000000000000002, 0.6938000000000001, 0.1081, 0.26730000000000004, 0.2518, 0.6972, 0.06520000000000001, 0.6459, 0.2019, 0.4494, 0.1743, -0.001, 0.4888, 0.2048, -0.2534, 0.15... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + 3.5 * Z(3) + 13.0 * Z(2) + 22.5 * Z(1) + 20.5 * Z(4) +... | 18 | 11 | 4 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["10010011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0003) q[0];
rz(0.4069) q[0];
rx(0.6999) q[1];
rz(0.0034) q[1];
rx(0.6938) q[2];
rz(0.1081) q[2];
rx(0.2673) q[3];
rz(0.2518) q[3];
rx(0.6972) q[4];
rz(0.0652) q[4];
rx(0.6459) q[5];
rz(0.2019) q[5];
rx(0.4494) q[6];
rz(0.1743) q[6];
rx(-0.001) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
8308404280368225489 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 6, 7], [0, 1, 2], [1, 4, 5], [0, 2, 4, 5, 6, 7, 8], [8, 1, 3, 6], [8, 2, 3, 5], [0, 1, 5, 6, 8], [8, 1, 5, 7], [1, 5, 6, 7], [0, 1, 3, 7, 8], [8, 1, 3, 5]]} | {"states": [426, 215], "expectation_value": -0.13375044764848518, "params": [[0.0757], [-0.0713]], "bitstrings": ["001010101", "100101000"], "total_optimization_steps": 10, "probabilities": [0.002099958957966352, 0.0021128283022967555], "optimization_time": 5.4606359004974365} | 0.25 * (Z(3) @ Z(6)) + 0.2738095238095238 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.07380952380952381 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(3)) + 0.07380952380952381 * (Z(0) @ Z(7)) + 0.21666666666666667 * (Z(1) @ Z(6)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(1) @ Z(7)) + 0.2666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.673809523809524], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5095238095238104, "smallest_bitstrings": ["100101000"]} | 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[3];
rz(0.0379) q[3];
cx q[6], q[3];
cx q[6], q[7];
rz(0.0415) q[7];
cx q[6], q[7];
cx q[3], q[7];
rz(0.0328) q[7];
cx q[3], q[7];
cx q[6], q[0];
rz(0.0112) q[0];
cx q[6], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [8, 4], "expectation_value": -0.3061373052471213, "params": [[0.2574], [-0.2469]], "bitstrings": ["0111", "1011"], "total_optimization_steps": 30, "probabilities": [0.08298373317695386, 0.08298373317695387], "optimization_time": 1.5500352382659912} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.2574) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.2574) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.1716) q[1];
cx q[0], q[1];
rz(-0.2574) q[3];
rz(0.0858) q[0];
rz(0.0858) q[1];
rz(-0.0858) q[2];
h q[0];
rz(-0.4... | 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;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x1) q[1];
cx q[0], q[1];... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [375, 371], "expectation_value": -4.265029166332656, "params": [0.9979, 0.33390000000000003, 0.7502000000000001, 0.33580000000000004, 1.3934, 0.0436, 1.3925, 0.0235, 1.3943, 0.3431, 0.7556, 0.3599, 0.7621, -0.3442, 1.3939000000000001, -0.31770000000000004, 1.3919000000000001, -0.0955, 0.9903000000000001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 18 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9979) q[0];
rz(0.3339) q[0];
rx(0.7502) q[1];
rz(0.3358) q[1];
rx(1.3934) q[2];
rz(0.0436) q[2];
rx(1.3925) q[3];
rz(0.0235) q[3];
rx(1.3943) q[4];
rz(0.3431) q[4];
rx(0.7556) q[5];
rz(0.3599) q[5];
rx(0.7621) q[6];
rz(-0.3442) q[6];
rx(1.3939) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} |
4e2f70adf965c859c016ba7845e205dc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [511, 447], "expectation_value": -10.660823123101714, "params": [[[0.0005, -0.0035], [0.0007, -0.0019], [0.0078000000000000005, 0.0021000000000000003], [0.6163000000000001, 0.003], [-0.0015, 0.0025], [0.0095, -0.0023], [0.0043, -0.0022], [0.0004, -0.002], [-1.4952, -0.013300000000000001], [0.4218, 0.0204]], ... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 15 | 10 | 3 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["1001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0005) q[0];
ry(0.0007) q[1];
ry(0.0078) q[2];
ry(0.6163) q[3];
ry(-0.0015) q[4];
ry(0.0095) q[5];
ry(0.0043) q[6];
ry(0.0004) q[7];
ry(-1.4952) q[8];
ry(0.4218) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [99, 115], "expectation_value": -2.814076294525194, "params": [0.0023, 0.0031000000000000003, 3.1395, 0.0027, 3.1386000000000003, 0.0002, 1.574, 0.0051, -0.0024000000000000002, 0.0037, -0.003, 0.0091, 3.1449000000000003, 0.009000000000000001, 3.1395, 0.0071, 0.0043, 0.003, 0.0007, 0.004200000000000001, 0.003... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(3) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["10010010", "10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0023) q[0];
rz(0.0031) q[0];
rx(3.1395) q[1];
rz(0.0027) q[1];
rx(3.1386) q[2];
rz(0.0002) q[2];
rx(1.574) q[3];
rz(0.0051) q[3];
rx(-0.0024) q[4];
rz(0.0037) q[4];
rx(-0.003) q[5];
rz(0.0091) q[5];
rx(3.1449) q[6];
rz(0.009) q[6];
rx(3.1395) q[7];
rz(0.0... | 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": []} |
26b0c21f43e0914291253fccea754cb4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 29], "expectation_value": -4.895332345939513, "params": [[-0.1658, -0.1383], [0.1688, 0.16790000000000002]], "bitstrings": ["111110", "100010"], "total_optimization_steps": 20, "probabilities": [0.09012605479872707, 0.1064670946654521], "optimization_time": 2.6479434967041016} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.4974) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(0.6632) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.4974) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(0.2487) q[2];
cx q[3], q[2];
cx q[4], q[5];
rz(0.0829... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
08b9883600e02731f158b2b1d5d9c9bd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [3, 1], "expectation_value": -3.4199469017723523, "params": [[0.06520000000000001, 0.041, 0.0487], [-0.0743, -0.0443, -0.0371]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.019161883277106793, 0.025500146557445893], "optimization_time": 4.573136568069458} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.163) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.2608) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.1956) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.163) q[5];
cx q[3], q[5];
cx q[0], 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": []} |
88d08310cecbc7a3e83627c144340291 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1910, 1398], "expectation_value": -1.166451698603669, "params": [1.9020000000000001, 0.0002, 1.5247000000000002, 0.0039000000000000003, 1.8995000000000002, 0.0029000000000000002, 0.9842000000000001, 0.0004, 1.9091, 0.0076, 1.8938000000000001, 0.0083, 1.8988, 0.0014, 1.5174, 0.0, 1.9068, 0.0037, 1.8981000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01010100001", "00110001001", "01000110001", "10000011001", "01010000011", "01010001001", "10010001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.902) q[0];
rz(0.0002) q[0];
rx(1.5247) q[1];
rz(0.0039) q[1];
rx(1.8995) q[2];
rz(0.0029) q[2];
rx(0.9842) q[3];
rz(0.0004) q[3];
rx(1.9091) q[4];
rz(0.0076) q[4];
rx(1.8938) q[5];
rz(0.0083) q[5];
rx(1.8988) q[6];
rz(0.0014) q[6];
rx(1.5174) 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": []} |
5e1f1e75ba04327de43b1491321a7511 | 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": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [67, 1], "expectation_value": -0.9894328374670652, "params": [[0.0636, -0.0193], [-0.059500000000000004, -0.022000000000000002]], "bitstrings": ["10111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005952831122720955, 0.006127863098086241], "optimization_time": 3.2670798301696777} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0954) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1908) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0954) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(0.4134) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
fc2a0aab6aa71710f421b73642e2514f | 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": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -0.9313705562906645, "params": [[-0.048400000000000006, -0.0726, -0.0732], [0.0504, 0.0651, 0.0674]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.02524704524980676, 0.02667592772895198], "optimization_time": 3.8108913898468018} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"]} | 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(-0.0484) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0484) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.0484) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0484) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
2587244433093661736 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 7], [0, 3, 5], [1, 2, 3], [8, 0, 4], [0, 8, 3], [3, 6, 7], [2, 4, 7], [8, 2, 3], [0, 1]]} | {"states": [251, 187], "expectation_value": -1.6977374417289348, "params": [0.6594, -0.0502, 0.5893, 0.0035, 0.9974000000000001, 0.0342, 1.0036, 0.008400000000000001, 0.9830000000000001, -0.1275, 0.7931, 0.0015, 1.0019, 0.046400000000000004, 1.0004, 0.009300000000000001, 1.0037, 0.058800000000000005, 1.0032, 0.0073, 1.... | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.1666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["010001011", "101000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6594) q[0];
rz(-0.0502) q[0];
rx(0.9974) q[1];
rz(0.0342) q[1];
rx(0.983) q[2];
rz(-0.1275) q[2];
rx(1.0019) q[3];
rz(0.0464) q[3];
rx(1.0037) q[4];
rz(0.0588) q[4];
rx(1.0008) q[5];
rz(0.0605) q[5];
rx(1.0052) q[6];
rz(-0.0498) q[6];
rx(1.0047) 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": []} |
-8681032418437515509 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 6], [1, 3], [0, 7], [1, 4], [2, 4], [3, 5]]} | {"states": [103, 152], "expectation_value": -0.07544255670848951, "params": [[0.0733], [-0.07490000000000001]], "bitstrings": ["10011000", "01100111"], "total_optimization_steps": 10, "probabilities": [0.0045246157711195415, 0.0045246157711195415], "optimization_time": 0.5175395011901855} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10011000", "01100111"]} | 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[6], q[3];
rz(0.0733) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(0.0733) q[0];
cx q[6], q[0];
cx q[3], q[1];
rz(0.0733) q[1];
cx q[3], q[1];
cx q[0], q[7];
rz(0.0733) q[7];
cx q[0], q[7];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0]... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 8, "source":... | {"states": [117, 59], "expectation_value": -16.981638279157657, "params": [[0.037200000000000004, -0.0285, 0.0011, 0.031400000000000004], [-0.06430000000000001, -0.0044, -0.0182, -0.0514]], "bitstrings": ["0001010", "1000100"], "total_optimization_steps": 10, "probabilities": [0.016174809942132894, 0.018304000613801025... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(1)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 13.0 * Z(1) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["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[1], q[0];
rz(0.2232) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2232) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2232) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2232) q[3];
cx q[0], q[3];
cx q[2], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -7.066948832675757, "params": [[[0.0037, 0.4894], [0.0022, 0.6131], [0.0057, 0.1038], [0.0029000000000000002, 0.4948], [0.0011, 0.268], [0.8046000000000001, 0.0029000000000000002]], [[0.0037, 0.0083], [0.0022, 0.008700000000000001], [-0.0008, 0.008], [0.0027, 0.0095], [0.0046, 0.... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0037) q[0];
rz(0.4894) q[0];
rx(0.0022) q[1];
rz(0.6131) q[1];
rx(0.0057) q[2];
rz(0.1038) q[2];
rx(0.0029) q[3];
rz(0.4948) q[3];
rx(0.0011) q[4];
rz(0.268) q[4];
rx(0.8046) q[5];
rz(0.0029) q[5];
rx(0.0037) q[0];
rz(0.0083) q[0];
rx(0.0022) q[1];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | kclique | 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": [1, 3], "expectation_value": -4.406554583874641, "params": [[[0.2929, -0.09050000000000001], [0.1052, -0.1942], [0.0951, -0.1951], [0.48660000000000003, 0.0007], [0.49860000000000004, -0.0013000000000000002]], [[0.2948, -0.09050000000000001], [0.10400000000000001, -0.194], [0.0955, -0.195], [0.4878, 0.0007],... | 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) | 1 | 5 | 4 | {"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;
rx(0.2929) q[0];
rz(-0.0905) q[0];
rx(0.1052) q[1];
rz(-0.1942) q[1];
rx(0.0951) q[2];
rz(-0.1951) q[2];
rx(0.4866) q[3];
rz(0.0007) q[3];
rx(0.4986) q[4];
rz(-0.0013) q[4];
rx(0.2948) q[0];
rz(-0.0905) q[0];
rx(0.104) q[1];
rz(-0.194) q[1];
rx(0.0955) q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
2f9748d259d55a5f303ac02652806401 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": ... | {"states": [2048, 2047], "expectation_value": -38.76873896090037, "params": [[[-0.006200000000000001, -0.132], [0.0011, 0.0002], [0.0032, 0.0029000000000000002], [0.0031000000000000003, 0.0023], [0.006, 0.002], [0.0016, 0.0027], [0.0079, -0.0028], [0.0005, 0.0029000000000000002], [-0.0032, -0.0026000000000000003], [0.0... | -0.5 * (Z(0) @ Z(7)) + -1.25 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(0)) + -0.75 * (Z(11) @ Z(7)) + -1.25 * (Z(11) @ Z(0)) + -1.25 * (Z(1) @ Z(7)) + -2.0 * (Z(1) @ Z(9)) + -0.75 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.75 * (Z(8) @ Z(11)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(10) @ Z(9)) + -2.5 * (... | 15 | 12 | 4 | {"smallest_eigenvalues": [-39.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0062) q[0];
ry(0.0011) q[1];
ry(0.0032) q[2];
ry(0.0031) q[3];
ry(0.006) q[4];
ry(0.0016) q[5];
ry(0.0079) q[6];
ry(0.0005) q[7];
ry(-0.0032) q[8];
ry(0.0032) q[9];
ry(0.1262) q[10];
ry(-0.0032) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
983d232d5136b312922dcf1830271c0d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target":... | {"states": [1528, 999], "expectation_value": -2.1781941159752023, "params": [[-0.9854, 0.0025, -0.7791, 1.5682, -0.1245, 1.5733000000000001, 0.0023, 0.9656, -0.00030000000000000003, 1.5687, 1.1912], [-0.002, -0.7844, 0.0024000000000000002, 0.5264, 0.0019, 0.006, -0.0023, 1.5732000000000002, -0.0024000000000000002, 0.94... | -0.75 * (Z(0) @ Z(7)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + -1.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(10) @ Z(7)) + -1.25 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(9)) + -0.5 *... | 9 | 11 | 4 | {"smallest_eigenvalues": [-21.5, -21.5, -21.5, -21.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.5, "smallest_bitstrings": ["10000001000", "10000011000", "10010011000", "10010001000"]} | 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];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.9854) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
461a504b9826e7d1bfc1c6f1845a3d83 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [796, 797], "expectation_value": -2.2160922542665205, "params": [2.4174, 0.0057, 2.8024, 0.009600000000000001, 0.006500000000000001, 0.0053, 0.0028, 0.0005, -0.0027, 0.0077, 3.1594, 0.00030000000000000003, 3.1614, 0.0004, 3.1618, 0.0019, 0.8084, 0.0034000000000000002, 1.6035000000000001, 0.009600000000000001... | 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(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011000101", "0010101010", "0010101001", "0011100010", "0100111000", "01010101... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.4174) q[0];
rz(0.0057) q[0];
rx(2.8024) q[1];
rz(0.0096) q[1];
rx(0.0065) q[2];
rz(0.0053) q[2];
rx(0.0028) q[3];
rz(0.0005) q[3];
rx(-0.0027) q[4];
rz(0.0077) q[4];
rx(3.1594) q[5];
rz(0.0003) q[5];
rx(3.1614) q[6];
rz(0.0004) q[6];
rx(3.1618) 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": []} |
-9121291166032794744 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 4, 5, 7, 8, 10], [4, 5, 8, 9, 11], [3, 5, 8, 9, 11], [1, 11, 4, 5], [1, 2, 7], [0, 1, 2, 3, 4, 6, 9], [0, 1, 2, 3, 6, 8, 9], [2, 3, 7, 9, 10, 11], [0, 1, 2, 4, 6, 9, 11], [2, 5, 6, 7], [0, 6, 9, 10, 11], [8, 4, 6], [1, 2, 3, 6, 9, 11], [0, 1, 5, 9, 10... | {"states": [3582, 3580], "expectation_value": -4.31364770833658, "params": [1.0219, -0.0134, 1.0211000000000001, 0.00030000000000000003, 1.2908000000000002, 0.1396, 1.2890000000000001, 0.3904, 0.6425000000000001, -0.3135, 0.6491, 0.0033, 1.1828, -0.012400000000000001, 1.2659, 0.0212, 1.2824, 0.0033, 1.2793, 0.0083, 1.2... | 0.08095238095238094 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.06666666666666667 * (Z(7) @ Z(4)) + 0.08333333333333334 * (Z(7) @ Z(0)) + 0.2 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(4)) + 0.2238095238095238 * (Z(8) @ Z(0)) + 0.21666666666666667 * (Z(8) @ Z(5))... | 8 | 12 | 1 | {"smallest_eigenvalues": [-5.692857142857145], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.692857142857141, "smallest_bitstrings": ["001000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0219) q[0];
rz(-0.0134) q[0];
rx(1.2908) q[1];
rz(0.1396) q[1];
rx(0.6425) q[2];
rz(-0.3135) q[2];
rx(1.1828) q[3];
rz(-0.0124) q[3];
rx(1.2824) q[4];
rz(0.0033) q[4];
rx(1.2641) q[5];
rz(-0.0047) q[5];
rx(1.2454) q[6];
rz(0.0454) q[6];
rx(1.28) 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": []} |
1467f39e5cf35ddc8dc0e8c5ce193cb6 | 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": [219, 218], "expectation_value": -42.80518850155778, "params": [0.3841, 0.1422, 0.6008, 0.026000000000000002, 0.5943, 0.033, 0.3003, 0.1515, 0.604, -0.0013000000000000002, 0.5982000000000001, 0.032600000000000004, 0.2681, 0.19440000000000002, 0.6004, 0.06520000000000001, 0.3985, 0.1198, 0.3826, 0.1228, 0.598... | 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(8)) + 11.5 * Z(1) + 8.5 * Z(2) + 3.5 * Z(0) + 9.0 * Z(5) + 20.5 * Z(4) + 1.5 * Z(3) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3841) q[0];
rz(0.1422) q[0];
rx(0.6008) q[1];
rz(0.026) q[1];
rx(0.5943) q[2];
rz(0.033) q[2];
rx(0.3003) q[3];
rz(0.1515) q[3];
rx(0.604) q[4];
rz(-0.0013) q[4];
rx(0.5982) q[5];
rz(0.0326) q[5];
rx(0.2681) q[6];
rz(0.1944) q[6];
rx(0.6004) q[7];
rz(0.06... | 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
3050997451413098138 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9, 1], [0, 1, 3, 4, 5, 6, 7, 8, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 10], [0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [2, 3, 5, 6, 7, 8, 9, 11], [0, 2, 6, 9, 11], [1, 2, 3, 4, 5, 6, 8, 9, 10], [1, 2, 3, 5, 6, 7, 8, 9, 10], [3, 4, 5, 9, 11], [1, 3, 5, 6, 7, 8, 9, 10... | {"states": [3915, 3931], "expectation_value": -2.0332678207061665, "params": [[[3.1394, 0.0054], [3.1615, 0.006200000000000001], [3.1438, 0.0037], [3.1388000000000003, 0.0005], [0.0012000000000000001, 0.0051], [3.1444, 0.009300000000000001], [-0.0036000000000000003, 0.0089], [1.641, 0.004200000000000001], [3.1443000000... | 0.22777777777777775 * (Z(0) @ Z(9)) + 0.21944444444444444 * (Z(1) @ Z(9)) + 0.19166666666666665 * (Z(1) @ Z(0)) + 0.13174603174603175 * (Z(3) @ Z(9)) + 0.036111111111111115 * (Z(3) @ Z(0)) + 0.07777777777777778 * (Z(3) @ Z(1)) + 0.08611111111111112 * (Z(4) @ Z(9)) + 0.036111111111111115 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @... | 1 | 12 | 1 | {"smallest_eigenvalues": [-2.067460317460317, -2.067460317460317, -2.067460317460317, -2.067460317460317, -2.067460317460317, -2.067460317460317], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0674603174603168, "smallest_bitstrings": ["000100000110", "000000100110", "100100001000", "000010100100", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1394) q[0];
rz(0.0054) q[0];
rx(3.1615) q[1];
rz(0.0062) q[1];
rx(3.1438) q[2];
rz(0.0037) q[2];
rx(3.1388) q[3];
rz(0.0005) q[3];
rx(0.0012) q[4];
rz(0.0051) q[4];
rx(3.1444) q[5];
rz(0.0093) q[5];
rx(-0.0036) q[6];
rz(0.0089) q[6];
rx(1.641) 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": []} |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [1, 9], "expectation_value": -1.581248506897612, "params": [[[0.5505, 0.006200000000000001], [1.6054000000000002, 0.003], [0.0023, 0.0027], [0.0025, 0.0081], [1.6069, 0.0039000000000000003]]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 160, "probabilities": [0.23159470980851918, 0.24818634... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.5505) q[0];
rz(0.0062) q[0];
rx(1.6054) q[1];
rz(0.003) q[1];
rx(0.0023) q[2];
rz(0.0027) q[2];
rx(0.0025) q[3];
rz(0.0081) q[3];
rx(1.6069) q[4];
rz(0.0039) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
79dbb46672568dd6da53fdf988683370 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 2, "source": 0, "t... | {"states": [118, 110], "expectation_value": -27.47849755501106, "params": [[-0.0354, -0.0044, 0.0032, 0.0198], [0.0772, 0.0659, 0.0636, 0.0523]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01716368614964954, 0.024611296667710433], "optimization_time": 7.137981414794922} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 5.5 * Z(0) + 14.5 * Z(4) + 15.0 * Z(2) + 7... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "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];
cx q[1], q[0];
rz(-0.3186) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.3186) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(-0.3186) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(-0.3186) q[2];
cx q[4], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
cccde4707d298ae394e20cc161e11586 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [1, 9], "expectation_value": -0.8585731336323994, "params": [[-0.0692], [0.07590000000000001]], "bitstrings": ["111111110", "111110110"], "total_optimization_steps": 10, "probabilities": [0.002969373277811936, 0.002977526398821722], "optimization_time": 2.698460102081299} | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"]} | 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(0.0692) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.1038) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0346) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.1384) q[5];
cx q[4], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [9, 3], "expectation_value": -6.98539458460684, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12796174980966527, 0.6649528209913563], "optimization_time": 21.383066177368164} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["01110", "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[0];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[1];
ry(0.7247) q[3];
ry(-0.3569) q[2];
ry(-0.3098) q[1];
cry(0.3727) q[3], q[4];
cry(-0.2255) q[3], q[2];
cry(0.334) q[4], q[3];
cry(-0.227... | 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[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
-8855293776304507567 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 5, 6], [1, 3], [4, 5], [0, 4], [8, 7], [10, 2, 4], [0, 3, 7], [0, 3, 6], [9, 5], [1, 2]]} | {"states": [1498, 1490], "expectation_value": -3.1264729421345367, "params": [1.2986, -0.09920000000000001, 1.2992000000000001, 0.0027, 0.2904, -0.3808, 0.2857, 0.004, 1.2977, -0.0432, 1.2996, 0.006, 1.3052000000000001, -0.0881, 1.3017, 0.0076, 1.2943, -0.0117, 1.2956, 0.006900000000000001, 0.46330000000000005, 0.5047,... | 0.16666666666666666 * (Z(9) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.166... | 5 | 11 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["01000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.2986) q[0];
rz(-0.0992) q[0];
rx(0.2904) q[1];
rz(-0.3808) q[1];
rx(1.2977) q[2];
rz(-0.0432) q[2];
rx(1.3052) q[3];
rz(-0.0881) q[3];
rx(1.2943) q[4];
rz(-0.0117) q[4];
rx(0.4633) q[5];
rz(0.5047) q[5];
rx(1.3045) q[6];
rz(-0.1307) q[6];
rx(1.0629) 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": []} |
82b7510e3c4f18f03c81315097910da2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [1, 31], "expectation_value": -6.266123250957764, "params": null, "bitstrings": ["111110", "100000"], "total_optimization_steps": 45, "probabilities": [0.06491054619726463, 0.7440517742297588], "optimization_time": 42.345614194869995} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5626) q[3], q[4];
cry(1.2309) q[4], q[3];
cry(1.5708) q[3], q[1];
cry(1.5708) q[4], q[2];
ry(-0.3588) q[2];
cry(0.3588) q[3], q[2];
ry(-0.2403) q[1];
cry(0.2403) q[4], q[1];
cry(1.3676) q[1], q[5];
cry(-1.4... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5626) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
ffe7b5f4782407d3e85a3f55af5889c1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [163, 183], "expectation_value": -12.503222531844179, "params": null, "bitstrings": ["101011100", "101001000"], "total_optimization_steps": 90, "probabilities": [0.24653508301111543, 0.7532227043090644], "optimization_time": 163.20120763778687} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"]} | 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(1.5708) q[1];
cry(1.5708) q[1], q[3];
cry(1.5708) q[3], q[8];
cry(-1.5708) q[8], q[0];
cry(-1.5681) q[3], q[2];
cry(1.5626) q[6], q[4];
cry(1.57) q[8], q[7];
cry(-1.4449) q[7], q[5];
cr... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) 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] = m... |
7873856371474736547 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 2, 3, 5, 6, 7, 8, 9, 11, 12], [0, 6, 8, 10, 11], [1, 2, 3, 4, 6, 7, 8, 9, 10, 12], [0, 4, 6, 7, 8, 9, 11], [0, 1, 2, 3, 4, 5, 7, 8, 9, 12], [3, 6, 8, 10, 11, 12], [3, 4, 6, 10, 11], [1, 2, 5, 7, 9, 10, 11, 12], ... | {"states": [5045, 5053], "expectation_value": -2.285877758176496, "params": [1.5763, 1.5696, 0.326, 0.3239, 0.33290000000000003, 0.3305, 1.6461000000000001, 1.4965000000000002, 1.5874000000000001, 1.5658, 1.5696, 1.5839, 0.36000000000000004, 0.36760000000000004, 1.5795000000000001, 1.5745, 1.57, 1.5706, 0.8062, 0.7894,... | 0.05909090909090909 * (Z(0) @ Z(1)) + 0.08805916305916306 * (Z(2) @ Z(1)) + 0.09401154401154402 * (Z(2) @ Z(0)) + 0.056313131313131315 * (Z(3) @ Z(1)) + 0.08012265512265512 * (Z(3) @ Z(0)) + 0.10234487734487735 * (Z(3) @ Z(2)) + 0.05909090909090909 * (Z(4) @ Z(1)) + 0.0955988455988456 * (Z(4) @ Z(0)) + 0.09401154401154... | 13 | 13 | 1 | {"smallest_eigenvalues": [-2.4608585858585856], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4386363636363635, "smallest_bitstrings": ["0110001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5763) q[0];
ry(0.326) q[1];
ry(0.3329) q[2];
ry(1.6461) q[3];
ry(1.5874) q[4];
ry(1.5696) q[5];
ry(0.36) q[6];
ry(1.5795) q[7];
ry(1.57) q[8];
ry(0.8062) q[9];
ry(1.5744) q[10];
ry(0.3006) q[11];
ry(1.5441) q[12];
crz(-0.0017) q[12], q[0];
crz(-0.8649) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
3591265042354790787 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5, 6], [0, 1, 6], [1, 2, 4, 5], [0, 2, 4, 6], [0, 3, 5], [1, 3, 5], [0, 3, 4, 6], [0, 4, 5], [1, 3, 6], [2, 3, 4, 5]]} | {"states": [15, 124], "expectation_value": -1.1278084676152202, "params": [[0.25170000000000003], [-0.24480000000000002]], "bitstrings": ["1110000", "0000011"], "total_optimization_steps": 30, "probabilities": [0.016239855754882675, 0.016935943942424293], "optimization_time": 2.7825777530670166} | 0.3333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.1666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.499999999999999, "smallest_bitstrings": ["0000011"]} | 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[5], q[2];
rz(0.1678) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(0.0839) q[6];
cx q[5], q[6];
cx q[2], q[6];
rz(0.1259) q[6];
cx q[2], q[6];
cx q[5], q[0];
rz(0.1678) q[0];
cx q[5], q[0];
cx q[2], q[0];
r... | 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": []} |
b2edf981a9c05ff141b468ab5531d2c7 | 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": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [43, 35], "expectation_value": -2.2481107834764438, "params": [[[0.8387, -0.0005], [-0.0098, 0.447], [0.7452000000000001, -0.0504], [-0.010700000000000001, 0.4469], [0.9119, -0.001], [0.9057000000000001, 0.001]], [[0.8364, 0.0002], [-0.0131, 0.0098], [0.7422000000000001, 0.0048000000000000004], [-0.01, 0.008... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.8387) q[0];
rz(-0.0005) q[0];
rx(-0.0098) q[1];
rz(0.447) q[1];
rx(0.7452) q[2];
rz(-0.0504) q[2];
rx(-0.0107) q[3];
rz(0.4469) q[3];
rx(0.9119) q[4];
rz(-0.001) q[4];
rx(0.9057) q[5];
rz(0.001) q[5];
rx(0.8364) q[0];
rz(0.0002) q[0];
rx(-0.0131) q[1];
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": []} |
89c7521d0f4383e77e73ec35feb14209 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [100, 109], "expectation_value": -13.559284827424028, "params": null, "bitstrings": ["10011011", "10010010"], "total_optimization_steps": 100, "probabilities": [0.06131949519475524, 0.07138055406590552], "optimization_time": 153.34278774261475} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"]} | 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(63.0918) q[1];
ry(37.6583) q[5];
ry(-0.8066) q[7];
ry(63.1203) q[2];
ry(11.4534) q[6];
cry(63.0215) q[2], q[5];
cry(30.0723) q[1], q[5];
ry(10.6781) q[4];
ry(3.4165) q[0];
cry(-5.2002) q[1], q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(63.0918) 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... |
8934637782739148275 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [1, 5], [0, 5], [1, 4], [2, 5], [2, 3], [3, 4], [0, 1], [1, 3]]} | {"states": [26, 37], "expectation_value": -0.06659295973101738, "params": [[0.0695], [-0.054200000000000005]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 10, "probabilities": [0.016810436715412724, 0.016810436715412724], "optimization_time": 1.2692961692810059} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "101010", "100101", "011010", "010101", "000101"]} | 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[5], q[4];
rz(0.0695) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(0.0695) q[1];
cx q[5], q[1];
cx q[4], q[1];
rz(0.0695) q[1];
cx q[4], q[1];
cx q[5], q[0];
rz(0.0695) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(0.0695... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[5], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
ddfed01a83099fc3ddb85a6b0fb96e42 | 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": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"sour... | {"states": [364, 492], "expectation_value": -4.705988523968918, "params": [[0.8989, 0.1451, 0.17120000000000002, 0.8974000000000001, 0.0056, 0.6761, 0.44870000000000004, -0.003, -0.0007], [0.9027000000000001, 0.9099, 0.9045000000000001, 0.8985000000000001, 0.0, 0.9042, 0.9071, -0.006900000000000001, 0.00720000000000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(7) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(8) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["000010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.8989) q[0];
ry(0.1451) q[1];
ry(0.1712) q[2];
ry(0.8974) q[3];
ry(0.0056) q[4];
ry(0.6761) q[5];
ry(0.4487) q[6];
ry(-0.003) q[7];
ry(-0.0007) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
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": []} |
e187371d430b945e0e1d69926f02e89f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [7423, 6655], "expectation_value": -53.1085326924877, "params": [[0.0261, 0.049600000000000005, 0.1418], [-0.5818, -0.3637, -0.1779]], "bitstrings": ["110001100000000", "110011000000000"], "total_optimization_steps": 90, "probabilities": [0.007975316549807814, 0.00797531654980782], "optimization_time": 42.09... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 1 | 15 | 3 | {"smallest_eigenvalues": [-59.83333333333255], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.833333333330536, "smallest_bitstrings": ["110011000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[2], q[7];
rz(-0.0261) q[7];
cx q[2], q[7];
cx q[2], q[3];
rz(0.0522) q[3];
cx q[2], q[3];
cx q[7], q[3];
rz(-0.0522) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4d44127075c03392d0078723b3cb3352 | 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": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 7}, {"capacity": 1, "source": 1, "target": 8}, {"capac... | {"states": [0, 3], "expectation_value": -15.571750113980224, "params": [0.001, 0.2175, -0.0018000000000000002, 0.21880000000000002, -0.0034000000000000002, 0.2383, -0.0049, 0.2416, -0.0018000000000000002, 0.222, -0.0028, 0.2288, -0.0036000000000000003, 0.2313, 0.0022, 0.21080000000000002, -0.0064, 0.2029, 0.0016, 0.232... | -1.25 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + -1.75 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(5)) + -1.25 * (Z(4)... | 6 | 10 | 3 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111001100", "1111111100", "1111101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.001) q[0];
rz(0.2175) q[0];
rx(-0.0034) q[1];
rz(0.2383) q[1];
rx(-0.0018) q[2];
rz(0.222) q[2];
rx(-0.0036) q[3];
rz(0.2313) q[3];
rx(-0.0064) q[4];
rz(0.2029) q[4];
rx(0.0076) q[5];
rz(0.1577) q[5];
rx(-0.0013) q[6];
rz(0.2383) q[6];
rx(-0.0046) 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
60adc8c0ec7ab7eb551a043d909b727d | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.017081767331701005, "params": [[0.06520000000000001], [-0.0663]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6345019347788732e-05, 1.634501934778874e-05], "optimization_time": 13.724514484405518} | 0.25 * (Z(0) @ Z(1)) + 0.00015432098765432098 * (Z(2) @ Z(0)) + 0.00015432098765432098 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021759259259184], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021759259259178, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.0326) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
cd9ed43dca2281b8ed4505f89be4ca33 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [92, 60], "expectation_value": -1.988373341101671, "params": [0.0035, 0.006500000000000001, 0.40190000000000003, 0.40190000000000003, 0.4056, 0.40240000000000004, 0.40590000000000004, 0.40800000000000003, 0.40190000000000003, 0.4035, 0.4091, 0.4098, 0.1625, 0.1568, -0.001, 0.0002, -0.0005, -0.0001, 0.3926, 0... | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10100011", "11000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0035) q[0];
ry(0.4019) q[1];
ry(0.4056) q[2];
ry(0.4059) q[3];
ry(0.4019) q[4];
ry(0.4091) q[5];
ry(0.1625) q[6];
ry(-0.001) q[7];
crx(-0.2233) q[7], q[0];
crx(0.0155) q[6], q[7];
crx(-0.2508) q[5], q[6];
crx(0.2525) q[4], q[5];
crx(0.3855) q[3], q[4];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
949642de8ee5e7ad5475d2650121814b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight"... | {"states": [467, 466], "expectation_value": -77.1847913990044, "params": [0.188, 0.312, 0.7782, 0.0142, 0.6305000000000001, -0.0047, 0.7903, -0.0017000000000000001, 0.1456, 0.1163, 0.7884, -0.0175, 0.0095, -0.38120000000000004, 0.0757, 0.0103, 0.7439, -0.08600000000000001, 0.36260000000000003, -0.21780000000000002, 0.1... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(8)) + 15.5 * Z(1) + 10.5 * Z(0) + 12.5 * Z(2) + 6.5 * Z(3) + 5.5 * Z(5) + -4.0 * Z(4... | 4 | 10 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["1000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.188) q[0];
rz(0.312) q[0];
rx(0.7782) q[1];
rz(0.0142) q[1];
rx(0.6305) q[2];
rz(-0.0047) q[2];
rx(0.7903) q[3];
rz(-0.0017) q[3];
rx(0.1456) q[4];
rz(0.1163) q[4];
rx(0.7884) q[5];
rz(-0.0175) q[5];
rx(0.0095) q[6];
rz(-0.3812) q[6];
rx(0.0757) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
-4278732443802325559 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [2, 4, 5], [2, 7], [0, 1, 4, 5], [0, 4, 5, 6], [3, 4, 5, 6], [1, 2, 3], [1, 3, 6], [6, 7], [1, 4, 5, 6], [3, 5, 7], [0, 1, 3, 4], [2, 6]]} | {"states": [77, 182], "expectation_value": -0.1820036589697832, "params": [[0.07830000000000001], [-0.0758]], "bitstrings": ["10110010", "01001001"], "total_optimization_steps": 10, "probabilities": [0.004314013610420095, 0.004351637774769147], "optimization_time": 2.9824836254119873} | 0.5833333333333334 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.25 * (Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["01001001"]} | 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[1];
rz(0.0914) q[1];
cx q[3], q[1];
cx q[3], q[7];
rz(0.0522) q[7];
cx q[3], q[7];
cx q[1], q[7];
rz(0.0261) q[7];
cx q[1], q[7];
cx q[3], q[2];
rz(0.0261) q[2];
cx q[3], q[2];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 37], "expectation_value": -2.3403891236552696, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 31, "probabilities": [0.09171740636696295, 0.7966511080330144], "optimization_time": 42.41794037818909} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"]} | 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[2];
cry(-1.3016) q[3], q[4];
ry(1.2942) q[5];
cry(-1.3048) q[0], q[1];
ry(0.7841) q[0];
ry(-0.5322) q[1];
ry(0.7829) q[3];
cry(0.505) q[5], q[0];
ry(-0.4525) q[4];
cry(0.4531) q[5], q[3];
cry(-0.286... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-6132195591121548321 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [0, 1, 3, 4], [1, 4, 5], [1, 2, 3]]} | {"states": [31, 94], "expectation_value": -0.6539858926883564, "params": [[0.4711], [-0.44010000000000005]], "bitstrings": ["1100000", "0100001"], "total_optimization_steps": 50, "probabilities": [0.022088255614927662, 0.0228313069738395], "optimization_time": 1.982823133468628} | 0.5 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["0100001"]} | 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[6], q[0];
rz(0.4711) q[0];
cx q[6], q[0];
cx q[0], q[1];
rz(0.0785) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.0785) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(0.2356) q[3];
cx q[1], q[3];
cx q[0], q[4];
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;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
48bc2fe3cb79b98fee18d505d1ebe59b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [49, 48], "expectation_value": -4.17812415027036, "params": [0.6968000000000001, 0.0014, 0.7053, 0.0056, 0.7037, 0.0108, 0.22360000000000002, -0.2218, 0.10250000000000001, -0.2647, 0.10940000000000001, -0.2967, 0.6989000000000001, 0.046900000000000004, 0.6933, 0.0009000000000000001, 0.6990000000000001, -0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 4 | 7 | 2 | {"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": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.6968) q[0];
rz(0.0014) q[0];
rx(0.7053) q[1];
rz(0.0056) q[1];
rx(0.7037) q[2];
rz(0.0108) q[2];
rx(0.2236) q[3];
rz(-0.2218) q[3];
rx(0.1025) q[4];
rz(-0.2647) q[4];
rx(0.1094) q[5];
rz(-0.2967) q[5];
rx(0.6989) q[6];
rz(0.0469) q[6];
crx(-0.1907) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
16aed950661228e73cbfe28c55f52a27 | 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": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [286, 248], "expectation_value": -25.62539772056664, "params": null, "bitstrings": ["011100001", "100000111"], "total_optimization_steps": 100, "probabilities": [0.06467488444422437, 0.17150031785397873], "optimization_time": 182.53791117668152} | 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(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"]} | 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(18.1327) q[2];
ry(-5.4392) q[3];
ry(29.358) q[4];
ry(0.8826) q[0];
ry(62.7798) q[1];
ry(11.5317) q[5];
cry(5.5437) q[0], q[3];
cry(63.2997) q[0], q[1];
cry(62.3508) q[1], q[3];
cry(30.7... | 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(18.1327) 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] = ... |
-1434483494603569668 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5, 6], [8, 6], [1, 5, 6, 7], [0, 1, 5, 6], [1, 2, 5, 7], [2, 4, 6], [0, 8, 4, 1], [0, 3, 6], [8, 0, 1, 7], [2, 3, 5], [8, 3], [0, 4, 5], [2, 3, 7]]} | {"states": [446, 190], "expectation_value": -2.835054811516028, "params": [1.1168, 0.15940000000000001, 0.9762000000000001, 0.009600000000000001, 1.1953, -0.0669, 1.1983000000000001, 0.0053, 0.7851, 0.08610000000000001, 0.6846, 0.0014, 1.2035, -0.0585, 1.1942000000000002, 0.0086, 1.1933, -0.0731, 1.1996, 0.004, 1.19020... | 0.41666666666666663 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.25 * (Z(7... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4166666666666683, "smallest_bitstrings": ["101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1168) q[0];
rz(0.1594) q[0];
rx(1.1953) q[1];
rz(-0.0669) q[1];
rx(0.7851) q[2];
rz(0.0861) q[2];
rx(1.2035) q[3];
rz(-0.0585) q[3];
rx(1.1933) q[4];
rz(-0.0731) q[4];
rx(1.1902) q[5];
rz(-0.076) q[5];
rx(1.1946) q[6];
rz(-0.0777) q[6];
rx(1.1938) 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": []} |
a09fd8263c85c42edd74a3289977a8b3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, ... | {"states": [72, 74], "expectation_value": -2.9500049596108946, "params": [1.4971, -0.0106, 0.6624, -0.2697, -0.0046, -0.4253, 1.4938, 0.0028, -0.0025, 1.1147, 0.7977000000000001, -0.0095, 0.0922, -0.5341, 1.4903000000000002, -0.055200000000000006, 0.21910000000000002, 0.3196, -0.0006000000000000001, -0.9213, 1.4915, -0... | 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(4) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 4 | 7 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["0110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4971) q[0];
rz(-0.0106) q[0];
rx(0.6624) q[1];
rz(-0.2697) q[1];
rx(-0.0046) q[2];
rz(-0.4253) q[2];
rx(1.4938) q[3];
rz(0.0028) q[3];
rx(-0.0025) q[4];
rz(1.1147) q[4];
rx(0.7977) q[5];
rz(-0.0095) q[5];
rx(0.0922) q[6];
rz(-0.5341) q[6];
crx(-1.0222) 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": []} |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [7, 35], "expectation_value": -2.1181416555577193, "params": null, "bitstrings": ["111000", "011100"], "total_optimization_steps": 24, "probabilities": [0.05107453549901371, 0.9399494395431499], "optimization_time": 23.734780311584473} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"]} | 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(-1.4449) q[1];
ry(-1.4449) q[2];
ry(1.2953) q[5];
ry(1.0363) q[4];
cry(-0.9078) q[0], q[3];
ry(0.7172) q[0];
cry(-0.5348) q[4], q[3];
cry(0.5333) q[5], q[0];
cry(-0.1259) q[5], q[1];
cry(0.4013) q[5], q[4];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[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... |
2133bfe2f16c389d56b638843cb4baa9 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 88], "expectation_value": -5.49646409782871, "params": null, "bitstrings": ["0001111", "0100111"], "total_optimization_steps": 29, "probabilities": [0.06634871027471186, 0.9303659638128933], "optimization_time": 26.186266660690308} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001111", "0100111"]} | 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[6];
ry(-1.5681) q[5];
ry(-1.5681) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0343) q[3], q[1];
ry(0.7003) q[3];
ry(-0.4549) q[1];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[1];
cry(0.2... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
404057c7f12171487b8e4c0dec61ffa3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.7651799949305048, "params": [[-0.0753, -0.0743, -0.06620000000000001], [0.0743, 0.0723, 0.065]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.028525679703952988, 0.0294572545114775], "optimization_time": 2.443500518798828} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"]} | 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(0.0377) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.0753) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0753) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(0.0377) q[1];
cx q[5], q[1];
cx q[2], q[4];
rz(0.113... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
bd4d5e09460e489b3a7687d2fb06fc0c | 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": 5}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}]} | {"states": [26, 101], "expectation_value": -0.0935687315929201, "params": [[0.0775], [-0.07250000000000001]], "bitstrings": ["1100101", "0011010"], "total_optimization_steps": 10, "probabilities": [0.008791514506850477, 0.008979499442554013], "optimization_time": 1.1994428634643555} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(5) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010"]} | 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[5], q[0];
rz(0.0775) q[0];
cx q[5], q[0];
cx q[0], q[2];
rz(0.0775) q[2];
cx q[0], q[2];
cx q[5], q[1];
rz(0.0775) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(0.0775) q[3];
cx q[1], q[3];
cx q[2], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q... | null | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | 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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [0, 20], "expectation_value": -2.9998646495793175, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 16, "probabilities": [1.9002204009620417e-05, 0.9999182900344906], "optimization_time": 7.091947078704834} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[3];
ry(1.4384) q[2];
ry(1.4384) q[0];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[2], q[4];
cry(0.1248) q[2], q[0];
cry(0.1242) q[0], q[2];
cry(-0.0027) q[2], q[1];
c[0] = me... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [27359, 27358], "expectation_value": -6.605903988677587, "params": [0.40180000000000005, 0.40340000000000004, 0.41150000000000003, 0.4076, 0.1139, 0.11960000000000001, 0.2695, 0.25730000000000003, 0.161, 0.1583, 0.40040000000000003, 0.40440000000000004, 0.12760000000000002, 0.1253, 0.3896, 0.391, 0.409900000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 13 | 15 | 4 | {"smallest_eigenvalues": [-7.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999952, "smallest_bitstrings": ["001010100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.4018) q[0];
ry(0.4115) q[1];
ry(0.1139) q[2];
ry(0.2695) q[3];
ry(0.161) q[4];
ry(0.4004) q[5];
ry(0.1276) q[6];
ry(0.3896) q[7];
ry(0.4099) q[8];
ry(0.1014) q[9];
ry(0.4016) q[10];
ry(0.4143) q[11];
ry(0.4079) q[12];
ry(0.3843) q[13];
ry(0.1731) q[14];... | 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
16efd0d1722058bdcecd0a47f621047a | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [24, 35], "expectation_value": -0.20800280182429942, "params": [[0.0733], [-0.08170000000000001]], "bitstrings": ["100111", "011100"], "total_optimization_steps": 10, "probabilities": [0.017534229913187, 0.018289819823076085], "optimization_time": 1.1395344734191895} | 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(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100"]} | 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(0.0733) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0733) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0733) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.0733) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.0733... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx ... | null | {"circuits": [], "gradients": []} |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [3, 1], "expectation_value": -1.04440091814801, "params": [[-0.0734, -0.0637, -0.067], [0.079, 0.0733, 0.0729]], "bitstrings": ["1100", "1110"], "total_optimization_steps": 10, "probabilities": [0.1071264795364051, 0.11483511731428511], "optimization_time": 1.5994012355804443} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.1101) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.1468) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.1468) q[2];
cx q[1], q[2];
rz(0.2569) q[1];
rz(0.0367) q[0];
rz(-0.1468) q[3];
rz(-0.1468) q[2];
h q[0];
rz(0.158... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
b9249c89c9fecbd960c9b5e99266b9fa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [54, 214], "expectation_value": -1.0440183404039447, "params": [[[0.1504, -0.2735, 0.0027, 0.0083], [0.5927, 0.2726, 0.5631, 0.1018], [0.17750000000000002, -0.40940000000000004, 0.1651, -0.1642], [-0.0898, 0.3577, 0.6025, -0.0862], [0.3844, -0.4318, 0.3049, 0.433], [0.035500000000000004, 0.5568000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(7)) + -0.25 *... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.0, "smallest_bitstrings": ["100101100", "010101010", "010111000", "010110010", "011110000", "101100100", "110101000", "101010001", "101001001", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1504) q[0];
rz(-0.2735) q[0];
ry(0.5927) q[1];
rz(0.2726) q[1];
ry(0.1775) q[2];
rz(-0.4094) q[2];
ry(-0.0898) q[3];
rz(0.3577) q[3];
ry(0.3844) q[4];
rz(-0.4318) q[4];
ry(0.0355) q[5];
rz(0.5568) q[5];
ry(0.5957) q[6];
rz(-0.0174) q[6];
ry(0.3775) 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": []} |
406f205c8f68e15d44cfdbce281f4c7d | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [37, 7], "expectation_value": -6.868769623322617, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10740038652747583, 0.6097205169304722], "optimization_time": 60.978110790252686} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "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[1];
ry(0.8911) q[5];
cry(-1.5708) q[4], q[0];
cry(-1.5655) q[3], q[2];
ry(1.08) q[3];
ry(0.6956) q[4];
ry(-0.5067) q[2];
ry(-0.3797) q[1];
cry(0.3507) q[3], q[5];
ry(-0.2547) q[0];
cry(0.4031... | 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 ... |
6e37aef8e2f10c2778e28c9dc9b1affa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [5663, 5695], "expectation_value": -1.988041186646253, "params": [0.7037, 0.7007, 0.06420000000000001, 0.0419, 0.6681, 0.6686000000000001, 0.45070000000000005, 0.46830000000000005, 0.2383, 0.2422, 0.227, 0.2253, 0.2675, 0.2837, 0.37570000000000003, 0.4404, 0.6832, 0.6872, 0.6909000000000001, 0.6912, 0.6856, ... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 14 | 13 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.7037) q[0];
ry(0.0642) q[1];
ry(0.6681) q[2];
ry(0.4507) q[3];
ry(0.2383) q[4];
ry(0.227) q[5];
ry(0.2675) q[6];
ry(0.3757) q[7];
ry(0.6832) q[8];
ry(0.6909) q[9];
ry(0.6856) q[10];
ry(0.5796) q[11];
ry(0.505) q[12];
crx(0.364) q[12], q[0];
crx(-0.0223)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} |
7060679126639636126 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 12, 4], [8, 10, 11], [9, 6], [0, 1, 5], [8, 10, 12], [3, 11, 6], [10, 2], [9, 10, 3], [1, 6], [5, 6], [8, 5], [0, 2], [11, 1, 3], [0, 6], [6, 7], [9, 10, 7], [1, 2, 7], [0, 7], [1, 2, 11], [1, 10, 5], [1, 10, 7], [5, 7], [8, 0, 12], [10, 12, 5], [... | {"states": [6286, 6287], "expectation_value": -0.1300311864904226, "params": [[0.047], [-0.0376]], "bitstrings": ["0011101110001", "0011101110000"], "total_optimization_steps": 10, "probabilities": [0.0001332874991137863, 0.00013366248124161966], "optimization_time": 99.12363576889038} | 0.16666666666666666 * (Z(9) @ Z(12)) + 0.16666666666666666 * (Z(4) @ Z(12)) + 0.3333333333333333 * (Z(4) @ Z(9)) + 0.5 * (Z(8) @ Z(12)) + 0.3333333333333333 * (Z(10) @ Z(12)) + 0.3333333333333333 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(4)) + 0.3333333333333333 * (Z(10) @ Z(8)) + 0.16666666666666666 * (Z(11) @ Z(8)) + 0.166... | 3 | 13 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.333333333333336, "smallest_bitstrings": ["0011101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[12], q[9];
rz(0.0157) q[9];
cx q[12], q[9];
cx q[12], q[4];
rz(0.0157) q[4];
cx q[12], q[4];
cx q[9], q[4];
rz(0.0313) q[4];
cx q[9], q[4];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[13] c;
qubit[13] 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];
... | null | {"circuits": [], "gradients": []} |
948e73d26580d7c0cc9a877617a692aa | 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": 7, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [35, 43], "expectation_value": -19.361519517878545, "params": [0.7596, 0.41550000000000004, -0.1212, -0.5198, 0.0031000000000000003, 0.5235000000000001, 0.0041, 0.7772, -0.0039000000000000003, 1.2865, -0.0025, 1.2231, 0.0019, 1.7612, 0.0034000000000000002, 1.0599, 1.0217, 1.2175, -0.3436, 0.0134, -0.0, 0.840... | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + 2.0 * (Z(9) @ Z... | 6 | 10 | 3 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["1111010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7596) q[0];
rz(0.4155) q[0];
rx(0.0031) q[1];
rz(0.5235) q[1];
rx(-0.0039) q[2];
rz(1.2865) q[2];
rx(0.0019) q[3];
rz(1.7612) q[3];
rx(1.0217) q[4];
rz(1.2175) q[4];
rx(0) q[5];
rz(0.8405) q[5];
rx(0.1694) q[6];
rz(1.0699) q[6];
rx(-0.0011) q[7];
rz(1.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
401c13a1ccbde8a868c526c64a107baa | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 4, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": ... | {"states": [250, 186], "expectation_value": -80.37842730109618, "params": [-0.9651000000000001, 0.0347, 0.6957, 0.0046, 1.1569, 0.0158, -0.48160000000000003, 0.001, 1.1972, 0.057800000000000004, 1.1961000000000002, 0.004, 0.9267000000000001, -0.3315, 0.7565000000000001, 0.0064, 1.2045000000000001, 0.062400000000000004,... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 12.5 * Z(2) + -3.5 * Z(1) + 14.5 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.9651) q[0];
rz(0.0347) q[0];
rx(1.1569) q[1];
rz(0.0158) q[1];
rx(1.1972) q[2];
rz(0.0578) q[2];
rx(0.9267) q[3];
rz(-0.3315) q[3];
rx(1.2045) q[4];
rz(0.0624) q[4];
rx(1.2009) q[5];
rz(0.0689) q[5];
rx(1.1961) q[6];
rz(0.0735) q[6];
rx(0.8533) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
3536030517596435129 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5, 6, 7], [0, 1, 5, 6, 7], [1, 2, 3, 6, 7], [0, 1, 2, 6], [0, 1, 2, 3, 5], [0, 1, 3, 6], [2, 3, 4, 5, 6], [0, 4, 6], [4, 5, 7], [1, 2, 3, 5, 6], [0, 4, 5], [1, 4, 7], [2, 3, 5, 7]]} | {"states": [126, 110], "expectation_value": -2.894015653356315, "params": [[[0.2383, 1.0538, 0.0033, 0.0068000000000000005], [0.0815, 1.0538, 0.0064, 0.0028], [1.5675000000000001, -0.0024000000000000002, 1.5687, 0.0046], [1.1133, -0.15810000000000002, 0.5893, 0.001], [1.5679, 0.0025, 1.5684, 0.004], [0.4667, -0.6989000... | 0.31666666666666665 * (Z(2) @ Z(5)) + 0.23333333333333334 * (Z(6) @ Z(5)) + 0.31666666666666665 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(2)) + 0.383333333333333... | 11 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333326, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2383) q[0];
rz(1.0538) q[0];
ry(0.0815) q[1];
rz(1.0538) q[1];
ry(1.5675) q[2];
rz(-0.0024) q[2];
ry(1.1133) q[3];
rz(-0.1581) q[3];
ry(1.5679) q[4];
rz(0.0025) q[4];
ry(0.4667) q[5];
rz(-0.6989) q[5];
ry(1.5737) q[6];
rz(-0.0021) q[6];
ry(0.6838) 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": []} |
4743a42b98680c4f321c8f72a752812d | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [29, 447], "expectation_value": -3.1029903145010005, "params": [[-0.0478, -0.024300000000000002, -0.0608], [0.0665, 0.027200000000000002, 0.0604]], "bitstrings": ["111100010", "001000000"], "total_optimization_steps": 10, "probabilities": [0.00318583457926234, 0.0031957405860191727], "optimization_time": 6.0... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 3 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"]} | 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(0.0478) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0478) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0319) q[1];
cx q[0], q[1];
cx q[3], q[7];
rz(0.0478) q[7];
cx q[3], 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": 5} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [3, 10], "expectation_value": -0.15383339481138572, "params": [[-0.053500000000000006, -0.0687], [0.055, 0.0712]], "bitstrings": ["1100", "0101"], "total_optimization_steps": 10, "probabilities": [0.07125481387725677, 0.07125481387725677], "optimization_time": 1.159686803817749} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "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];
cx q[1], q[0];
rz(-0.0535) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0535) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0535) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.0535) q[2];
cx q[1], q[2];
rz(0.107) q[1];
rz(0.0535) q[0];
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;
input float[64] x7;
input float[64] x8;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | null | {"circuits": [], "gradients": []} |
ba516fd0ce7824e6228356c5f232cfab | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [65, 3], "expectation_value": -18.406045467201633, "params": [[0.022600000000000002, 0.0172, 0.0036000000000000003, 0.0053], [-0.053700000000000005, -0.0728, -0.055900000000000005, -0.038200000000000005]], "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.0187785082931... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 13 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1243) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1243) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1243) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
2277377792064302310 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[5, 7], [8, 0], [6, 7], [9, 6], [1, 3], [3, 4], [1, 4], [0, 1], [9, 1], [9, 7], [8, 5], [2, 3], [4, 6], [4, 5]]} | {"states": [430, 422], "expectation_value": -1.9282129358404287, "params": [0.5262, -0.32680000000000003, 0.5111, 0.0048000000000000004, 1.067, 0.0975, 1.0622, 0.0029000000000000002, 1.0907, 0.0737, 1.0902, 0.0005, 0.49660000000000004, -0.31820000000000004, 0.48550000000000004, 0.0034000000000000002, 1.0912, 0.0921, 1.... | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.0 * Z(7) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001011001", "0110100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.5262) q[0];
rz(-0.3268) q[0];
rx(1.067) q[1];
rz(0.0975) q[1];
rx(1.0907) q[2];
rz(0.0737) q[2];
rx(0.4966) q[3];
rz(-0.3182) q[3];
rx(1.0912) q[4];
rz(0.0921) q[4];
rx(0.4919) q[5];
rz(0.379) q[5];
rx(1.0733) q[6];
rz(0.3783) q[6];
rx(1.0918) 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": []} |
6506987244890392591 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6, 7], [2, 4, 5, 6, 7], [0, 2, 4, 6], [3, 4, 6, 7], [0, 1, 2, 4, 7], [1, 2, 4, 5, 6], [0, 1, 2, 3, 4], [2, 3, 4, 6], [2, 3, 4, 5], [0, 1, 3, 4, 5], [1, 3, 4, 5, 7], [3, 5, 6], [0, 3, 5, 7]]} | {"states": [143, 206], "expectation_value": -0.06889081697665277, "params": [[0.0488], [-0.0396]], "bitstrings": ["01110000", "00110001"], "total_optimization_steps": 10, "probabilities": [0.004023046457179603, 0.0040281430948751725], "optimization_time": 0.9687709808349609} | 0.21666666666666667 * (Z(1) @ Z(6)) + 0.3 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(7) @ Z(1)) + 0.26666666666666666 * (Z(2) @ Z(6)) + 0.15000000000000002 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(7)) + 0.35 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(1)) + 0.23333333333333334 * (Z(4) @ Z(7)) + 0.44999999999999996 * (Z(4) @ Z(2)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.783333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00110001"]} | 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[6], q[1];
rz(0.0211) q[1];
cx q[6], q[1];
cx q[6], q[7];
rz(0.0293) q[7];
cx q[6], q[7];
cx q[1], q[7];
rz(0.026) q[7];
cx q[1], q[7];
cx q[6], q[2];
rz(0.026) q[2];
cx q[6], q[2];
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[... | null | {"circuits": [], "gradients": []} |
1c43c94da61f0edfd0d443bbe88c06e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 5, "s... | {"states": [49, 113], "expectation_value": -16.05999235206001, "params": null, "bitstrings": ["111001110", "110001110"], "total_optimization_steps": 74, "probabilities": [0.36542885069883485, 0.3663016014635364], "optimization_time": 123.75395727157593} | -1.25 * (Z(0) @ Z(5)) + -1.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + -1.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(8) @ Z(5)) + 2.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.75, -16.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["110001110", "111001110"]} | 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(-0.9755) q[1];
ry(-1.5708) q[6];
ry(1.5708) q[4];
cry(0.5358) q[4], q[1];
cry(1.5699) q[4], q[3];
cry(-1.1265) q[3], q[1];
cry(-1.5708) q[8], q[0];
ry(1.0726) q[8];
cry(-0.4434) q[4], q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.9755) 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] = ... |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [38, 7], "expectation_value": -9.192950785064385, "params": [[0.054200000000000005, 0.0317], [-0.0716, -0.0567]], "bitstrings": ["11011001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.009090327674344801, 0.009947242480569928], "optimization_time": 8.612814903259277} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | 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(0.2981) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2981) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2981) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2981) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} |
-1150492389707390021 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 5], [1, 3], [0, 1, 4], [4, 5, 6], [0, 3, 5], [1, 2], [0, 2]]} | {"states": [30, 99], "expectation_value": -0.9676733101724768, "params": [[-0.38520000000000004], [0.3748]], "bitstrings": ["1100001", "0011100"], "total_optimization_steps": 40, "probabilities": [0.027321275376856354, 0.027568695208370738], "optimization_time": 1.3257098197937012} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["0011100"]} | 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(-0.2568) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.1284) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.2568) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(-0.3852) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x1) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [7, 31], "expectation_value": -7.183017010257069, "params": null, "bitstrings": ["11111000", "11100000"], "total_optimization_steps": 51, "probabilities": [0.1459610964136302, 0.6774742925628697], "optimization_time": 69.5136992931366} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11100000", "11010100", "11010000", "11000100", "11000000", "10110000", "10100000", "10010000", "11110000... | 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(1.5577) q[4];
cry(1.5708) q[4], q[6];
cry(1.5681) q[4], q[7];
cry(-1.5706) q[7], q[0];
cry(1.5486) q[6], q[5];
cry(0.022) q[4], q[5];
cry(-1.4135) q[6], q[4];
cry(-0.0704) q[5], q[4];
cry(-0.00... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5577) q[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[... |
067bba7d9e0fe420d5884521d34dafa4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -1.7894202751268944, "params": [[-0.0483], [0.0539]], "bitstrings": ["111111111", "001111111"], "total_optimization_steps": 10, "probabilities": [0.0029028528702160143, 0.0029622860937527796], "optimization_time": 0.8419277667999268} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -2.5 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + -3.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(5)) + 1.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["001111111"]} | 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(0.0966) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.2898) q[2];
cx q[3], q[2];
cx q[3], q[7];
rz(0.2415) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(0.1932) q[7];
cx q[2], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"node": 5} | {"circuits": [], "gradients": []} |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [256, 1], "expectation_value": -11.193363063749366, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 24, "probabilities": [0.16205181912501485, 0.8147158739088153], "optimization_time": 33.71298956871033} | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "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];
ry(-1.5708) q[3];
cry(-1.5681) q[8], q[0];
ry(1.111) q[8];
ry(-0.4823) q[0];
ry(-1.4449) q[4];
ry(-1.5527) q[5];
ry(-1.5706) q[1];
ry(-1.5703) q[7];
ry(-1.5708) q[6];
ry(-1.5708) q[2];
cry... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
d335d344da78456c467f5a7e06677868 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [13, 269], "expectation_value": -8.085240049264875, "params": [[[0.8058000000000001, -0.0021000000000000003], [-0.0123, 0.3871], [-0.0008, 0.4214], [0.0029000000000000002, -0.37420000000000003], [0.0037, -0.40690000000000004], [0.8024, -0.0027], [0.8114, 0.0038], [0.0008, -0.42100000000000004], [0.8046000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["011110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8058) q[0];
rz(-0.0021) q[0];
rx(-0.0123) q[1];
rz(0.3871) q[1];
rx(-0.0008) q[2];
rz(0.4214) q[2];
rx(0.0029) q[3];
rz(-0.3742) q[3];
rx(0.0037) q[4];
rz(-0.4069) q[4];
rx(0.8024) q[5];
rz(-0.0027) q[5];
rx(0.8114) q[6];
rz(0.0038) q[6];
rx(0.0008) 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": []} |
df291902c871f6dbb60c148e9571c06f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target":... | {"states": [511, 510], "expectation_value": -40.52463340555912, "params": [[[0.0029000000000000002, 3.1612], [0.0019, 0.002], [0.0021000000000000003, 0.002], [0.0019, 0.002], [0.0021000000000000003, 0.002], [0.0019, 0.002], [0.0023, 0.0021000000000000003], [1.623, -0.0029000000000000002], [0.0026000000000000003, 0.0029... | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(3)) + -3.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0029) q[0];
ry(0.0019) q[1];
ry(0.0021) q[2];
ry(0.0019) q[3];
ry(0.0021) q[4];
ry(0.0019) q[5];
ry(0.0023) q[6];
ry(1.623) q[7];
ry(0.0026) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x2) q[4];
ry(x1) q[5];
ry... | {"node": 8} | {"circuits": [], "gradients": []} |
6930813728214232413 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [3, 5], [0, 5, 6], [2, 3, 4, 6], [2, 5]]} | {"states": [89, 121], "expectation_value": -1.7812283802460518, "params": [[[3.1389, 0.0067], [1.6392, 0.003], [3.1387, 0.0036000000000000003], [3.1395, 0.0038], [0.3951, 0.0017000000000000001], [0.002, 0.0068000000000000005], [3.1396, 0.0061]]], "bitstrings": ["0100110", "0000110"], "total_optimization_steps": 380, "p... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(3.1389) q[0];
rz(0.0067) q[0];
rx(1.6392) q[1];
rz(0.003) q[1];
rx(3.1387) q[2];
rz(0.0036) q[2];
rx(3.1395) q[3];
rz(0.0038) q[3];
rx(0.3951) q[4];
rz(0.0017) q[4];
rx(0.002) q[5];
rz(0.0068) q[5];
rx(3.1396) q[6];
rz(0.0061) q[6];
c[0] = measure q[0];
c[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] 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": []} |
aa593368bb5365cab30d0ff25322eaa9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [3, 67], "expectation_value": -8.485601272686676, "params": null, "bitstrings": ["111111100", "110111100"], "total_optimization_steps": 46, "probabilities": [0.3459843567516485, 0.36809101070410793], "optimization_time": 47.9280047416687} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["111111110", "111111100", "110111100", "110111110"]} | 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(-1.5708) q[5];
ry(-1.5706) q[3];
cry(-1.5681) q[8], q[0];
ry(1.231) q[8];
ry(-0.6451) q[0];
ry(1.5681) q[7];
cry(1.4449) q[6], q[1];
cry(0.2812) q[7], q[8];
ry(-1.0342) q[4];
cry(-0.117... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) 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] = ... |
abd98046d0c629ac9c259c0e8c4b3e7e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [2032, 2047], "expectation_value": -0.4167796212224683, "params": [[0.0396], [-0.0274]], "bitstrings": ["00000001111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0005687305200184704, 0.0005743873834571982], "optimization_time": 3.300802230834961} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000000"]} | 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[3], q[0];
rz(-0.1584) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.1584) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.0396) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.1584)... | 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[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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3... | {"node": 10} | {"circuits": [], "gradients": []} |
12625ff7963f220cedd44f15c6035b49 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1010, 2042], "expectation_value": -18.95865574482283, "params": null, "bitstrings": ["1110000001101", "1100000000101"], "total_optimization_steps": 100, "probabilities": [0.09426666769276475, 0.553797053621311], "optimization_time": 420.7760057449341} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 3 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(0.4397) q[7];
ry(1.0965) q[6];
ry(1.2796) q[3];
cry(1.1291) q[3], q[7];
cry(1.5708) q[4], q[11];
ry(0.9929) q[4];
cry(0.4739) q[7], q[6];
cry(0.4718... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(0.4397) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... |
5ac5bb66dfdef930ee51dbc17c1885bf | 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": [934, 422], "expectation_value": -79.79325679282067, "params": [0.36510000000000004, 0.3029, 0.7856000000000001, -0.0073, 0.793, 0.1663, 0.1529, 0.3778, 0.7845000000000001, 0.18180000000000002, -0.006900000000000001, 0.4642, 0.0017000000000000001, 0.5871000000000001, 0.7868, -0.0079, 0.7905000000000001, 0.14... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(8) @ Z(9)) + 7.0 * Z(1) + 11.0 * Z(0) + 2.5 * Z(3) + 9.5 * Z(2) + 14.0 * Z(4) + -1.5 * Z(5)... | 18 | 10 | 4 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["1001011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3651) q[0];
rz(0.3029) q[0];
rx(0.7856) q[1];
rz(-0.0073) q[1];
rx(0.793) q[2];
rz(0.1663) q[2];
rx(0.1529) q[3];
rz(0.3778) q[3];
rx(0.7845) q[4];
rz(0.1818) q[4];
rx(-0.0069) q[5];
rz(0.4642) q[5];
rx(0.0017) q[6];
rz(0.5871) q[6];
rx(0.7868) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
3485463351510977543 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1]]} | {"states": [19, 11], "expectation_value": -1.3449506149011068, "params": null, "bitstrings": ["01100", "10100"], "total_optimization_steps": 27, "probabilities": [0.055377137294705066, 0.7831782156395141], "optimization_time": 13.661505222320557} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["10011", "10100", "01011", "01100"]} | 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];
cry(-1.0342) q[4], q[2];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[4];
cry(-0.7092) q[3], q[2];
cry(1.1516) q[4], q[3];
ry(0.7003) q[1];
ry(-0.4549) q[0];
cry(0.4694) q[3], q[1];
cry(0.4386) q[3], q[4];
ry(-0.3186) q[2];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
73234867a8d73902463f648150631001 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.7546427498841402, "params": [[-0.0763], [0.0777]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01100539395194432, 0.01111253878148347], "optimization_time": 3.17665958404541} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0382) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.1526) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0763) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(0.1908) q[2];
cx q[1], q[2];
cx q[6], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
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