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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b8ec675dd91ebbd5410a74dcc6fca3e0 | 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}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [513, 1], "expectation_value": -25.033671153593428, "params": null, "bitstrings": ["0111111110", "1111111110"], "total_optimization_steps": 38, "probabilities": [0.06765533497950789, 0.91577919506211], "optimization_time": 70.0602159500122} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5709) q[9];
ry(-0.7408) q[0];
cry(0.0007) q[9], q[0];
ry(-1.5709) q[5];
ry(-1.5708) q[3];
cry(-0.8307) q[7], q[0];
ry(-1.5708) q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
ry(-... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5709) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... |
347cd23786ada5a7ec96f3799dd0d8dc | 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": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [118, 117], "expectation_value": -12.999166743528694, "params": [[-0.0258, 0.0582], [0.0366, -0.068]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.007710211218239924, 0.00973790124536585], "optimization_time": 3.055920362472534} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"]} | 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(-0.2064) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2064) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2064) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.2064) q[3];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | kclique | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [1, 3], "expectation_value": -2.956134962485808, "params": [[[0.3801, -0.2059], [0.5414, -0.1259], [0.5497000000000001, -0.12560000000000002], [0.7865000000000001, 0.0026000000000000003], [0.7931, 0.0026000000000000003]], [[0.38430000000000003, 0.0068000000000000005], [0.5424, 0.0044], [0.5522, 0.00060000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (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)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.3801) q[0];
rz(-0.2059) q[0];
rx(0.5414) q[1];
rz(-0.1259) q[1];
rx(0.5497) q[2];
rz(-0.1256) q[2];
rx(0.7865) q[3];
rz(0.0026) q[3];
rx(0.7931) q[4];
rz(0.0026) q[4];
rx(0.3843) q[0];
rz(0.0068) q[0];
rx(0.5424) q[1];
rz(0.0044) q[1];
rx(0.5522) q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"k": 3} | {"circuits": [], "gradients": []} |
6217701456967150430 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 3, 4], [1, 3]]} | {"states": [22, 19], "expectation_value": -0.6142917958561274, "params": null, "bitstrings": ["01001", "01100"], "total_optimization_steps": 25, "probabilities": [0.15909846184786483, 0.21137654843938927], "optimization_time": 17.90394377708435} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.125 * Z(2) + 0.125 * Z(0) + 0.125 * Z(3) + 0.125 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["11000", "00010", "01001", "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[3], q[1];
ry(0.9138) q[3];
ry(-0.6219) q[1];
cry(0.329) q[4], q[3];
cry(0.2245) q[2], q[3];
cry(-0.2349) q[4], q[1];
cry(0.197) q[0], q[3];
ry(0.279) q[0];
cry(-0.1685) q[0], q[1];
cry(0.1616) q[3], q[0];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[3], q[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;\nq... |
-1800473135719683091 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2, 3], [0, 1, 2], [0, 1, 4], [0, 1, 3]]} | {"states": [31, 23], "expectation_value": -0.6715424468975318, "params": [[[2.5613, 0.0032], [1.5357, 0.0022], [2.6395, 0.009000000000000001], [2.6447000000000003, 0.0061], [2.6689000000000003, 0.001]]], "bitstrings": ["00000", "01000"], "total_optimization_steps": 270, "probabilities": [0.36909883414741723, 0.39594002... | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * Z(2) + 0.6666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["01000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(2.5613) q[0];
rz(0.0032) q[0];
rx(1.5357) q[1];
rz(0.0022) q[1];
rx(2.6395) q[2];
rz(0.009) q[2];
rx(2.6447) q[3];
rz(0.0061) q[3];
rx(2.6689) q[4];
rz(0.001) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = m... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
-1102854164905697531 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 5, 7, 8], [1, 5, 7], [0, 3, 6], [0, 1, 5], [0, 2, 3], [8, 9, 4, 7]]} | {"states": [765, 701], "expectation_value": -1.041807656898063, "params": [1.3535000000000001, 1.3489, 0.7101000000000001, 0.7026, 1.2441, 1.2331, 0.7463000000000001, 0.7418, 0.9185000000000001, 1.0536, 1.3828, 1.3828, 1.3047, 1.2799, 1.2997, 1.2925, 0.7512000000000001, 0.7459, 1.2922, 1.3191000000000002, 0.27390000000... | 0.3833333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(0)) + 0.05 * (Z(8) @ Z(5)) + 0.13333333333333333 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z... | 13 | 10 | 1 | {"smallest_eigenvalues": [-1.7833333333333339], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7833333333333337, "smallest_bitstrings": ["0101000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.3535) q[0];
ry(0.7101) q[1];
ry(1.2441) q[2];
ry(0.7463) q[3];
ry(0.9185) q[4];
ry(1.3828) q[5];
ry(1.3047) q[6];
ry(1.2997) q[7];
ry(0.7512) q[8];
ry(1.2922) q[9];
crz(0.2739) q[9], q[0];
crz(-0.4542) q[8], q[9];
crz(0.4426) q[7], q[8];
crz(0.301) 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": []} |
45c48c466e00470cf641036d69f767c9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [2044, 4092], "expectation_value": -9.386599581494034, "params": [-0.11470000000000001, 0.9745, 0.47050000000000003, 0.0078000000000000005, 0.6167, 0.4908, -0.45470000000000005, 0.006500000000000001, 0.7766000000000001, 0.6413, -0.5744, 0.0016, -0.8848, 0.796, 0.3931, 0.0091, -0.7616, -1.9445000000000001, 0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000000000", "000000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.1147) q[0];
rz(0.9745) q[0];
rx(0.6167) q[1];
rz(0.4908) q[1];
rx(0.7766) q[2];
rz(0.6413) q[2];
rx(-0.8848) q[3];
rz(0.796) q[3];
rx(-0.7616) q[4];
rz(-1.9445) q[4];
rx(0.9153) q[5];
rz(1.0421) q[5];
rx(-0.8826) q[6];
rz(-1.5731) q[6];
rx(0.9383) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 12} | {"circuits": [], "gradients": []} |
26c69df1cbd87e9b924a817cf8bf46fd | 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": [490, 362], "expectation_value": -65.15035479718516, "params": [0.8907, 0.1373, 0.4549, 0.2388, 0.9026000000000001, 0.0089, 0.8916000000000001, -0.1202, 0.049, -0.4365, 0.9044000000000001, 0.1252, -0.0028, 0.5347000000000001, 0.9006000000000001, 0.0666, -0.0015, 0.5992000000000001, 0.8917, 0.1593, 0.4531, 0.... | 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 7.0 * Z(1) + 12.5 * Z(3) + 19.0 * Z(2) + 21.0 * Z(0) + -1.5 * Z(4) + 8.5 * Z(5) + -4.0 * Z(6) + -1.0... | 18 | 9 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8907) q[0];
rz(0.1373) q[0];
rx(0.4549) q[1];
rz(0.2388) q[1];
rx(0.9026) q[2];
rz(0.0089) q[2];
rx(0.8916) q[3];
rz(-0.1202) q[3];
rx(0.049) q[4];
rz(-0.4365) q[4];
rx(0.9044) q[5];
rz(0.1252) q[5];
rx(-0.0028) q[6];
rz(0.5347) q[6];
rx(0.9006) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
8af1769b957d177002d552b932acce1c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2376, 2504], "expectation_value": -152.47898758281352, "params": [[0.6315000000000001, -0.0911, 0.0035, 0.7902, -0.00030000000000000003, 0.7837000000000001, 0.0198, -0.063, 0.6363, -0.05, 0.004, -0.051300000000000005], [0.6321, -0.0041, 0.0034000000000000002, 0.744, -0.0112, 0.7917000000000001, -0.007500000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11... | 10 | 12 | 4 | {"smallest_eigenvalues": [-173.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -151.5, "smallest_bitstrings": ["011000110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6315) q[0];
ry(-0.0911) q[1];
ry(0.0035) q[2];
ry(0.7902) q[3];
ry(-0.0003) q[4];
ry(0.7837) q[5];
ry(0.0198) q[6];
ry(-0.063) q[7];
ry(0.6363) q[8];
ry(-0.05) q[9];
ry(0.004) q[10];
ry(-0.0513) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
f7c0ee1d4c77af9b2736662ef168c92d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -0.3896167649430041, "params": [[0.0609], [-0.0504]], "bitstrings": ["11111", "00111"], "total_optimization_steps": 10, "probabilities": [0.03769957051598913, 0.038605055108787895], "optimization_time": 0.732323408126831} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.1218) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2436) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.2436) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.2436) q[4];
cx q[2], q[4];
rz(0.0609) q[1];
rz(0.0609) ... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x1) q[4];
cx q[3... | {"node": 4} | {"circuits": [], "gradients": []} |
19409c886377e7d64541cdf026259d70 | 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": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -14.271875411867041, "params": [[[-0.45080000000000003, 0.1121, 0.0074, 0.0055000000000000005], [0.0047, 0.3235, -0.0115, 0.386], [0.5084000000000001, -0.007200000000000001, 0.5048, 0.021500000000000002], [0.0025, 0.1476, 0.0023, 0.2558], [-0.0043, 0.21050000000000002, 0.0004, ... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + 2.25 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(10)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(7) @ Z(3)) + -1.5 * (Z(... | 11 | 11 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.4508) q[0];
rz(0.1121) q[0];
ry(0.0047) q[1];
rz(0.3235) q[1];
ry(0.5084) q[2];
rz(-0.0072) q[2];
ry(0.0025) q[3];
rz(0.1476) q[3];
ry(-0.0043) q[4];
rz(0.2105) q[4];
ry(-0.002) q[5];
rz(0.0299) q[5];
ry(-0.0044) q[6];
rz(0.3243) q[6];
ry(-0.0026) 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": 10} | {"circuits": [], "gradients": []} |
-3517122334671635697 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [1, 3], [3, 6], [0, 8], [8, 5], [1, 7], [1, 4], [6, 7], [1, 2], [3, 7], [8, 7]]} | {"states": [161, 350], "expectation_value": -0.018702092416168947, "params": [[-0.0238], [0.0359]], "bitstrings": ["101011110", "010100001"], "total_optimization_steps": 10, "probabilities": [0.0020000165689364672, 0.0020000165689364672], "optimization_time": 0.6329691410064697} | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["110001100", "001110001", "010100001", "001110011", "101011110", "110001110", "101111010", "010000101"]} | 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[8];
rz(-0.0238) q[8];
cx q[6], q[8];
cx q[6], q[3];
rz(-0.0238) q[3];
cx q[6], q[3];
cx q[3], q[1];
rz(-0.0238) q[1];
cx q[3], q[1];
cx q[8], q[0];
rz(-0.0238) q[0];
cx q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];... | null | {"circuits": [], "gradients": []} |
-2336214338362953603 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 6, 7], [3, 4, 6], [5, 6], [0, 4], [1, 2], [4, 6, 7], [1, 3, 4], [3, 5], [0, 3, 7], [1, 5]]} | {"states": [210, 211], "expectation_value": -1.3806735216363564, "params": [[0.37310000000000004], [-0.372]], "bitstrings": ["00101101", "00101100"], "total_optimization_steps": 40, "probabilities": [0.021499057380580847, 0.02359854045621506], "optimization_time": 2.9765408039093018} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["00101100"]} | 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(0.0622) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0622) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0622) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(0.0622) q[7];
cx q[2], q[7];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
726a5ae01318539d56f80c3be6bbd791 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [13, 18], "expectation_value": -0.6792760186444107, "params": [[0.061000000000000006, 0.0317, -0.0125, -0.0563], [-0.07060000000000001, -0.0449, -0.032100000000000004, 0.005200000000000001]], "bitstrings": ["110010", "101101"], "total_optimization_steps": 10, "probabilities": [0.01964501078344016, 0.02072803... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"]} | 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(0.061) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.061) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.061) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.061) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(0.061) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [6, 18], "expectation_value": -3.911631293737013, "params": null, "bitstrings": ["111001", "101101"], "total_optimization_steps": 18, "probabilities": [0.06012645497830037, 0.7888190124886368], "optimization_time": 11.94543170928955} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111100", "101101", "111001", "110011", "100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
cry(-1.0343) q[1], q[3];
cry(-1.0343) q[4], q[2];
ry(0.7003) q[4];
ry(0.7003) q[1];
ry(-0.4549) q[2];
ry(-0.4549) q[3];
cry(0.4578) q[4], q[1];
cry(0.4515) q[1], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-5591920024589002738 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [1, 3, 4, 6, 7], [5, 7], [0, 4]]} | {"states": [241, 124], "expectation_value": -0.0432757663561416, "params": [[0.0796], [-0.0867]], "bitstrings": ["00001110", "10000011"], "total_optimization_steps": 10, "probabilities": [0.004265894147880133, 0.004265894147880134], "optimization_time": 0.644740104675293} | 0.5 * (Z(2) @ Z(6)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.1000000000000002 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[2];
rz(0.0796) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(0.008) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.008) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(0.008) q[3];
cx q[1], q[3];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(x1) q[1];
cx q[6], q[1];
cx q[6], q... | null | {"circuits": [], "gradients": []} |
e6f5f7344f65c4a1f156bb9648ed863a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, ... | {"states": [78, 77], "expectation_value": -5.499144858283865, "params": null, "bitstrings": ["0110001", "0110010"], "total_optimization_steps": 34, "probabilities": [0.06552908063229994, 0.9338662614322454], "optimization_time": 36.806008100509644} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110010", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[0];
cry(-1.0342) q[6], q[5];
ry(0.7003) q[6];
ry(-0.4549) q[5];
cry(0.4963) q[4], q[6];
cry(-0.3789) q[4], q[5];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9325960b1637dc394e7dc9dd3fcbad13 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [4044, 4047], "expectation_value": -13.055370896555905, "params": null, "bitstrings": ["000000110011", "000000110000"], "total_optimization_steps": 100, "probabilities": [0.11841457849977723, 0.35503153150367645], "optimization_time": 209.98602747917175} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(4) + -1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5681) q[4], q[5];
ry(1.0829) q[4];
cry(1.5701) q[5], q[3];
cry(0.4303) q[3], q[5];
cry(1.5681) q[1], q[2];
ry(1.0829) q[1];
cry(1.5701) q[2], q[0];
ry(0.3... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5681) 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... |
67033ba6b1f4664b367380b6b737a7e4 | 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": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [320, 352], "expectation_value": -8.91863454504891, "params": [0.8086, -0.0016, 0.8041, 0.0017000000000000001, -0.002, -0.44380000000000003, -0.002, 0.0032, 0.8034, 0.001, 0.8031, 0.0009000000000000001, 0.7916000000000001, -0.0022, 0.7949, 0.0008, 0.0013000000000000002, -0.4112, 0.0004, 0.0076, 0.2634, -0.32... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["010011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8086) q[0];
rz(-0.0016) q[0];
rx(-0.002) q[1];
rz(-0.4438) q[1];
rx(0.8034) q[2];
rz(0.001) q[2];
rx(0.7916) q[3];
rz(-0.0022) q[3];
rx(0.0013) q[4];
rz(-0.4112) q[4];
rx(0.2634) q[5];
rz(-0.3228) q[5];
rx(0.2448) q[6];
rz(0.3617) q[6];
rx(0.0044) 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": []} |
520b4019fb4986d4ab684733a5ebe8d8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [230, 220], "expectation_value": -6.067748541632133, "params": [[-0.034800000000000005], [0.0442]], "bitstrings": ["100011001", "100100011"], "total_optimization_steps": 10, "probabilities": [0.002964259008318501, 0.0032220710228262135], "optimization_time": 3.574129104614258} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"]} | 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(-0.3132) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3132) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3132) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(-0.3132) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
18dd4c426cbe67a44eb1a1feaa80acf2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [51, 119], "expectation_value": -6.903041544118682, "params": null, "bitstrings": ["11001100", "10001000"], "total_optimization_steps": 69, "probabilities": [0.2168824596047679, 0.2675820057610101], "optimization_time": 95.76669812202454} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10011110", "10001000", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[2];
cry(1.4894) q[2], q[1];
ry(-1.5708) q[4];
ry(-1.5706) q[0];
cry(1.5708) q[1], q[7];
cry(1.5706) q[6], q[3];
cry(0.6139) q[1], q[6];
cry(0.2813) q[1], q[3];
cry(0.7223) q[3], q[6];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
-8634747951560216277 | hypermaxcut | qaoa | {"nodes": [0, 1, 2], "hyperedges": [[0, 2], [1, 2]]} | {"states": [1, 6], "expectation_value": -0.00702566721535304, "params": [[0.047], [-0.0376]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.12675796975291964, 0.12675796975291964], "optimization_time": 0.8970425128936768} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.047) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.047) q[1];
cx q[2], q[1];
rz(0) q[2];
rz(0) q[0];
rz(0) q[1];
h q[0];
rz(-0.0752) q[0];
h q[0];
h q[1];
rz(-0.0752) q[1];
h q[1];
h q[2];
rz(-0.0752) q[2];
h q[2];
c[0] =... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
rz(x1) q[2];
rz(x1) q[0];
rz(x1) q[1];
h q[0];
rz(x2) q[0];
h q[0];
h q[1];
rz(x2) q[1];
h... | null | {"circuits": [], "gradients": []} |
1001699526581689469 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 11], [0, 8], [1, 7], [2, 3], [0, 4], [11, 5], [1, 6], [0, 9], [10, 11]]} | {"states": [1740, 1742], "expectation_value": -0.025657416304786587, "params": [[[1.4929000000000001, 0.0024000000000000002], [1.659, 0.0054], [1.6293, 0.0021000000000000003], [1.4962, 0.006200000000000001], [1.6384, 0.0005], [1.6425, 0.0032], [1.4748, 0.0018000000000000002], [1.4751, 0.006900000000000001], [1.6344, 0.... | 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(10) @ Z(11)) + 0.0 * Z(11) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100110001", "111001000010", "110100000001", "101001110010", "000110111101", "001011111110", "010110001101", "011011001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.4929) q[0];
rz(0.0024) q[0];
rx(1.659) q[1];
rz(0.0054) q[1];
rx(1.6293) q[2];
rz(0.0021) q[2];
rx(1.4962) q[3];
rz(0.0062) q[3];
rx(1.6384) q[4];
rz(0.0005) q[4];
rx(1.6425) q[5];
rz(0.0032) q[5];
rx(1.4748) q[6];
rz(0.0018) q[6];
rx(1.4751) 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": []} |
474afac3a31ba487f93ea7ccb82b3637 | 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": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [93, 85], "expectation_value": -2.8550822102564104, "params": [[-0.0378, -0.0383, -0.0461], [0.045200000000000004, 0.041800000000000004, 0.0426]], "bitstrings": ["10100010", "10101010"], "total_optimization_steps": 10, "probabilities": [0.00868433233228911, 0.008780048784901968], "optimization_time": 4.91337... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"]} | 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(0.0567) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0945) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0756) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0378) q[4];
cx q[0], q[4];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-6290337471314332232 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [8, 0], [5, 7], [5, 6], [0, 1, 5], [2, 3], [4, 7]]} | {"states": [422, 217], "expectation_value": -0.7289964914046676, "params": [[-0.2622], [0.2751]], "bitstrings": ["001011001", "100100110"], "total_optimization_steps": 30, "probabilities": [0.006558521281943141, 0.006559639617828186], "optimization_time": 2.4100847244262695} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.0 * Z(8) + 0.1666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335, -3.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["001011001", "100100110"]} | 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[7], q[2];
rz(-0.2622) q[2];
cx q[7], q[2];
cx q[0], q[8];
rz(-0.2622) q[8];
cx q[0], q[8];
cx q[7], q[5];
rz(-0.2622) q[5];
cx q[7], q[5];
cx q[0], q[5];
rz(-0.0874) q[5];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[0], q[8];
rz(x0) q[8];
cx q[0], q[8];
cx q[7], q[5];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [17, 1], "expectation_value": -18.2033545525087, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 39, "probabilities": [0.09184956582734856, 0.7367857029693289], "optimization_time": 40.22103309631348} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "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];
ry(-0.7408) q[2];
ry(1.2796) q[6];
cry(-0.271) q[6], q[0];
ry(-0.0201) q[0];
cry(0.2116) q[6], q[2];
cry(-1.2764) q[5], q[0];
cry(-1.0373) q[1], q[2];
ry(-1.5708) q[4];
cry(-0.6405) q[1], q[0];
ry(-1.5708... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-0.7408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-806656858732091231 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 11], [0, 2], [9, 6], [0, 10], [2, 3], [1, 5], [10, 11], [3, 7], [2, 11], [0, 9], [2, 7], [0, 7], [9, 10], [0, 1], [0, 3], [2, 5], [8, 10], [1, 9], [0, 5], [5, 7], [11, 4], [2, 4], [3, 4], [0, 4], [4, 6], [10, 3], [9, 7], [1, 6], [8, 6], [11, 5], [8, 0... | {"states": [566, 567], "expectation_value": -3.0851663201773487, "params": [0.45380000000000004, 0.4501, 0.4685, 0.4625, 1.155, 1.1522000000000001, 0.4186, 0.42100000000000004, 0.459, 0.4591, 0.4174, 0.4162, 1.1649, 1.1652, 1.1143, 1.107, 0.4107, 0.4101, 1.157, 1.1563, 1.1285, 1.1308, 0.8749, 0.8737, -0.3981, 0.0, 0.40... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(4)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z... | 13 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["001000110111", "110111001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.4538) q[0];
ry(0.4685) q[1];
ry(1.155) q[2];
ry(0.4186) q[3];
ry(0.459) q[4];
ry(0.4174) q[5];
ry(1.1649) q[6];
ry(1.1143) q[7];
ry(0.4107) q[8];
ry(1.157) q[9];
ry(1.1285) q[10];
ry(0.8749) q[11];
crz(-0.3981) q[11], q[0];
crz(-0.0546) q[10], q[11];
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": []} |
1a8285c95658dccc914ba0a3d2d1900f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [83, 211], "expectation_value": -2.876644672304541, "params": [-0.006900000000000001, 0.45120000000000005, -0.008, 0.007, 0.2157, -0.32930000000000004, 0.21300000000000002, 0.0037, 0.8382000000000001, 0.0017000000000000001, 0.8377, 0.0095, 0.9019, -0.001, 0.9048, 0.0026000000000000003, 0.8769, 0.5335, 0.7746... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -0.5 * Z(5) + -1.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.... | 7 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100011110", "1100101100", "1101100100", "1100011100", "1011100001", "1011100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0069) q[0];
rz(0.4512) q[0];
rx(0.2157) q[1];
rz(-0.3293) q[1];
rx(0.8382) q[2];
rz(0.0017) q[2];
rx(0.9019) q[3];
rz(-0.001) q[3];
rx(0.8769) q[4];
rz(0.5335) q[4];
rx(0.9013) q[5];
rz(0.5854) q[5];
rx(0.0024) q[6];
rz(-0.445) q[6];
rx(0.1963) 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": []} |
fd9320956c214e5ba4d50c0bb63f5f4a | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [8160, 8128], "expectation_value": -35.30250329914814, "params": null, "bitstrings": ["0000000011111", "0000000111111"], "total_optimization_steps": 100, "probabilities": [0.09361546736977742, 0.1797573821371604], "optimization_time": 366.7339332103729} | -3.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.5 * (Z(2) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(3)) + -3.5 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(3)) + -3.... | 1 | 13 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["0000000111111"]} | 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(-1.5709) q[8];
ry(-0.163) q[10];
ry(-0.173) q[7];
cry(-1.3827) q[7], q[10];
ry(-1.5692) q[12];
cry(-1.192) q[11], q[7];
ry(-1.5708) q[9];
cry(0.1619... | null | {"node": 7} | {"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(-1.5709) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... |
a3571c19d72a014065614d323aff3379 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [52, 7], "expectation_value": -1.8256362715864871, "params": [[-0.0291, 0.047, 0.057300000000000004], [0.0562, -0.0281, -0.041800000000000004]], "bitstrings": ["001011", "111000"], "total_optimization_steps": 10, "probabilities": [0.020193238336585297, 0.020372418559296994], "optimization_time": 5.6842219829... | 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)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 6 | 6 | 3 | {"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];
cx q[1], q[0];
rz(-0.1018) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1018) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1018) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1018) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
-4376730360070844524 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [0, 1], [1, 3, 5], [3, 4], [0, 6]]} | {"states": [74, 57], "expectation_value": -0.04334374913874308, "params": [[0.06720000000000001], [-0.0728]], "bitstrings": ["0110101", "1000110"], "total_optimization_steps": 10, "probabilities": [0.008505445050668343, 0.008505897810647527], "optimization_time": 1.2089788913726807} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.16666666666666663 * Z(1) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["0110101", "1000110", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0672) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(0.0672) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(0.0224) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(0.0224) q[5];
cx q[1], q[5];
cx q[3], q[5];
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q... | null | {"circuits": [], "gradients": []} |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -21.516656764649195, "params": [[0.008400000000000001, -0.0357, 0.00030000000000000003, -0.00030000000000000003], [-0.0164, 0.0618, 0.058600000000000006, 0.0618]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.011690035971042604, ... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "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];
cx q[1], q[0];
rz(0.0672) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0672) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0672) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0672) q[3];
cx q[1], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
bb94fc95e3d2399ab0a553ee86bc119a | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [2044, 2047], "expectation_value": -9.268153595272127, "params": null, "bitstrings": ["00000000011", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.08866641089089049, 0.2657215001118465], "optimization_time": 214.4660406112671} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) | 1 | 11 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000000000", "11000000000"]} | 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];
cry(1.5706) q[1], q[0];
cry(1.5681) q[4], q[2];
ry(1.0829) q[4];
cry(1.5701) q[2], q[3];
ry(0.3995) q[2];
cry(1.5486) q[9], q[10];
cry(1.2305) q[10], q[9];
cry(1.5486) q... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[1], 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[... |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [427, 238], "expectation_value": -0.22328627862869782, "params": [[0.055200000000000006], [-0.045000000000000005]], "bitstrings": ["001010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.002154140686526065, 0.0021541406865260675], "optimization_time": 3.3419430255889893} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[2];
rz(0.0552) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(0.0552) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0552) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0552) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
5255497973117942882 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 7], [1, 3, 4], [1, 3, 5, 6, 7], [2, 6], [0, 3, 5, 6], [1, 2, 4, 5, 7], [0, 1, 6], [0, 1, 4, 7], [1, 4, 6], [3, 4, 6, 7], [2, 3, 4, 7]]} | {"states": [237, 252], "expectation_value": -1.5890075762631446, "params": [[0.3634], [-0.34790000000000004]], "bitstrings": ["00010010", "00000011"], "total_optimization_steps": 40, "probabilities": [0.013664713083842327, 0.014709062218796878], "optimization_time": 4.102254152297974} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.18333333333333335 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.700000000000001, "smallest_bitstrings": ["00000011"]} | 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(0.0606) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1211) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1211) q[3];
cx q[0], q[3];
cx q[2], q[7];
rz(0.1575) q[7];
cx q[2], q[7];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -3.996398041568144, "params": null, "bitstrings": ["100011", "010011"], "total_optimization_steps": 25, "probabilities": [0.06635196634064289, 0.9303270202946885], "optimization_time": 17.916450262069702} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "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];
ry(-1.5708) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[3];
ry(1.4417) q[2];
cry(-1.0342) q[0], q[1];
ry(0.7003) q[0];
cry(-0.1259) q[3], q[4];
ry(-0.4549) q[1];
cry(0.4962) q[3], q[0];
cry(-0.3788) q[3], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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", "OPENQASM 3.0;\ninclude \"stdga... |
4aaa125e56185799ad2bd158a4062dac | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.2902007260985266, "params": [[-0.038400000000000004], [0.049]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0011860826844362034, 0.0011950254609096975], "optimization_time": 1.6032214164733887} | -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(1)... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[2];
rz(0.1152) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.1152) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.1152) q[4];
cx q[2], q[4];
cx q[6], q[5];
rz(0.1152) q[5];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4... | {"node": 1} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1623, 1751], "expectation_value": -7.485170014837302, "params": null, "bitstrings": ["00110101000", "00100101000"], "total_optimization_steps": 100, "probabilities": [0.49730634434571963, 0.49730634434571963], "optimization_time": 249.9009714126587} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"]} | 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];
ry(1.5708) q[9];
ry(1.5706) q[1];
cry(1.5681) q[1], q[4];
cry(1.4449) q[4], q[8];
cry(-1.4433) q[8], q[5];
cry(-1.4433) q[8], q[7];
ry(1.4416) q[0];
cry(1.44) q[8], q[6]... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... |
15981867526b451292338ffade4ee93e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.007421353948179375, "params": [[0.055400000000000005], [-0.0449]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 10, "probabilities": [0.0002515873851114101, 0.00025158738511141016], "optimization_time": 5.243039608001709} | 0.25 * (Z(0) @ Z(1)) + -0.0012755102040816328 * (Z(2) @ Z(0)) + -0.0012755102040816328 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005102... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5221938775510204, -1.5221938775510204], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104591836734698, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0277) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], ... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [28, 30], "expectation_value": -0.4641701961700505, "params": [[0.0714, 0.0482], [-0.07830000000000001, -0.049600000000000005]], "bitstrings": ["100011", "100001"], "total_optimization_steps": 10, "probabilities": [0.01989679733081251, 0.021370688235413556], "optimization_time": 3.1072402000427246} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0714) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0714) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0714) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0714) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0714... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
c5d57071b024d109c38c43678d62eaf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -5.7499999999705125, "params": null, "bitstrings": ["111", "110"], "total_optimization_steps": 7, "probabilities": [4.65539676913598e-12, 0.9999999999950338], "optimization_time": 2.1791534423828125} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(1.5708) q[2];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q... |
-771408654900260688 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 6, 7], [0, 1, 4, 5, 6, 9], [9, 4, 6, 7], [0, 2, 3, 6, 7], [1, 3, 4, 5], [0, 1, 2, 4, 5, 9], [0, 3, 4], [1, 2, 6, 7, 9], [9, 3, 5, 6], [0, 2, 4, 5, 6, 8], [8, 9, 3, 4], [0, 2, 5, 6, 8, 9], [0, 1, 2, 7, 8, 9], [8, 1, 3, 5], [0, 2, 3, 5, 9], [2, 3, 6, 7, 8... | {"states": [967, 971], "expectation_value": -3.5286033524963414, "params": [1.2934, 0.1373, 1.0348, 0.0019, 1.312, 0.1155, 1.1179000000000001, 0.0013000000000000002, 1.3007, 0.1358, 1.2958, 0.0043, 1.3047, 0.1053, 1.2454, 0.002, 1.0994000000000002, 0.3597, 0.9451, 0.007, 1.2165000000000001, -0.0806, 1.1568, 0.0083, 1.1... | 0.26666666666666666 * (Z(0) @ Z(1)) + 0.36666666666666664 * (Z(4) @ Z(1)) + 0.31666666666666665 * (Z(4) @ Z(0)) + 0.25 * (Z(6) @ Z(1)) + 0.31666666666666665 * (Z(6) @ Z(0)) + 0.2 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(7) @ Z(1)) + 0.3 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(4)) + 0.44999999999999996 * (Z(7) @ Z(6)) + 0.3... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.683333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.533333333333332, "smallest_bitstrings": ["0000110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2934) q[0];
rz(0.1373) q[0];
rx(1.312) q[1];
rz(0.1155) q[1];
rx(1.3007) q[2];
rz(0.1358) q[2];
rx(1.3047) q[3];
rz(0.1053) q[3];
rx(1.0994) q[4];
rz(0.3597) q[4];
rx(1.2165) q[5];
rz(-0.0806) q[5];
rx(1.1924) q[6];
rz(0.3442) q[6];
rx(1.322) 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": []} |
9ef4e3987f0bff13e6ea62e8bad7961d | 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": [95, 93], "expectation_value": -53.83604086732059, "params": [0.0028, 0.8883000000000001, 0.5925, 0.3513, 1.2037, 0.1888, 0.5807, 0.48000000000000004, 1.2008, 0.0434, 1.2015, -0.0002, 1.2023000000000001, 0.1558, 0.7815000000000001, 0.3297, 1.2008, 0.0233, 0.0028, 0.0055000000000000005, 0.5941000000000001, 0.... | 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(6) @ Z(7)) + 2.5 * Z(1) + 12.0 * Z(2) + 16.5 * Z(5) + 2.0 * Z(3) + 10.0 * Z(4) + 19.5 * Z(8... | 18 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0028) q[0];
rz(0.8883) q[0];
rx(0.5925) q[1];
rz(0.3513) q[1];
rx(1.2037) q[2];
rz(0.1888) q[2];
rx(0.5807) q[3];
rz(0.48) q[3];
rx(1.2008) q[4];
rz(0.0434) q[4];
rx(1.2015) q[5];
rz(-0.0002) q[5];
rx(1.2023) q[6];
rz(0.1558) q[6];
rx(0.7815) q[7];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
6204749327660332288 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 7], [2, 3, 5, 6], [1, 2, 4, 5, 8], [0, 2, 4, 5, 6, 7, 8], [0, 1, 2, 5, 6, 7], [1, 2, 3, 7, 8], [0, 1, 2, 4, 6, 7, 8], [0, 1, 3, 5, 6, 7, 8], [1, 3, 4, 5, 7]]} | {"states": [206, 207], "expectation_value": -1.746803351430592, "params": null, "bitstrings": ["100110001", "100110000"], "total_optimization_steps": 52, "probabilities": [0.0656670685981067, 0.7950871796897383], "optimization_time": 144.04067254066467} | 0.20714285714285716 * (Z(1) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(2)) + 0.1738095238095238 * (Z(3) @ Z(1)) + 0.14761904761904762 * (Z(4) @ Z(2)) + 0.1738095238095238 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(3)) + 0.18095238095238095 * (Z(7) @ Z(2)) + 0.23095238095238096 * (Z(7) @ Z(1)) + 0.1738095238095238 * (Z(7) @ Z(3))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7880952380952384], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7738095238095237, "smallest_bitstrings": ["100110000"]} | 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(1.525) q[2];
ry(1.3635) q[1];
ry(0.9038) q[5];
cry(0.4341) q[2], q[5];
cry(-0.4455) q[7], q[3];
ry(0.447) q[7];
cry(-0.3963) q[6], q[3];
cry(0.4143) q[2], q[7];
cry(-0.4301) q[5], q[3];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.525) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
52d445418826abb1edfe2507a27ebafb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -16.725763714528895, "params": [[0.0465, 0.0178], [-0.0853, -0.0755]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013685697266858369, 0.016979624547477264], "optimization_time": 2.91884183883667} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.372) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.372) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(0.372) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(0.372) q[3];
cx q[4], q[3];
cx q[3], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
365bd3af521df6f6f3ae706a5c8f048c | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [2040, 2047], "expectation_value": -1.339928387514496, "params": [[-0.0639], [0.0723]], "bitstrings": ["00000000111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0008614233670300237, 0.0008724295776262575], "optimization_time": 3.2797510623931885} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "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[1], q[0];
rz(0.2556) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2556) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1278) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"node": 11} | {"circuits": [], "gradients": []} |
8abcecb9be692ba9d31a27398366ffa4 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -10.999987376440629, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 21, "probabilities": [1.2623559254683014e-05, 0.9999873764407292], "optimization_time": 19.668550729751587} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "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];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.5708) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[1];
cry(-0.1188) q[6], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measu... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
cf6781246fc66f87fa6a567e8619e23b | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -6.208371982375844, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 25, "probabilities": [0.2576764967213142, 0.5730478938816137], "optimization_time": 24.63706088066101} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1111110", "1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5706) q[5];
ry(-1.5706) q[3];
cry(-1.5626) q[6], q[0];
ry(1.1543) q[6];
ry(-0.5561) q[0];
cry(-1.5583) q[6], q[1];
ry(-1.5486) q[4];
cry(0.2163) q[2], q[6];
cry(-0.0808) q[2], q[0];
cry(0.3525) 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(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [74, 104], "expectation_value": -3.496446851484714, "params": null, "bitstrings": ["0110101", "0010111"], "total_optimization_steps": 26, "probabilities": [0.06701299391276232, 0.9297038609759599], "optimization_time": 21.823967933654785} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011011", "0110101", "1100101", "0010111", "1011010", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[2];
ry(-1.4449) q[4];
ry(-1.4449) q[6];
ry(1.4417) q[0];
ry(1.4384) q[3];
cry(-1.0398) q[1], q[5];
ry(0.7022) q[1];
cry(-0.1259) q[3], q[6];
ry(-0.4578) q[5];
cry(0.4969) q[0], q[1];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9aafe0580999b1b0b4b8e8eda0d2bc18 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [212, 213], "expectation_value": -2.8765152517884034, "params": [0.6647000000000001, 0.051500000000000004, 0.76, 0.2331, 0.1024, 0.49720000000000003, 0.8869, 0.1126, 0.1358, 0.4269, 0.8661000000000001, -0.011600000000000001, -0.005, 0.6747000000000001, 0.45790000000000003, 0.0159, 0.6461, 0.05860000000000000... | 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(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011", "00101010", "01000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6647) q[0];
rz(0.0515) q[0];
rx(0.76) q[1];
rz(0.2331) q[1];
rx(0.1024) q[2];
rz(0.4972) q[2];
rx(0.8869) q[3];
rz(0.1126) q[3];
rx(0.1358) q[4];
rz(0.4269) q[4];
rx(0.8661) q[5];
rz(-0.0116) q[5];
rx(-0.005) q[6];
rz(0.6747) q[6];
rx(0.4579) 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": []} |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [425, 421], "expectation_value": -0.1662146401130856, "params": [0.1617, 0.0439, 0.1511, 0.0466, 0.196, -0.0085, 0.19440000000000002, -0.0097, 0.1937, -0.0026000000000000003, 0.20120000000000002, -0.0015, 0.18580000000000002, -0.0213, 0.1811, -0.0094, 0.2034, 0.0027, 0.19990000000000002, 0.0022, 0.1932, 0.00... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 6 | 10 | 4 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1617) q[0];
rz(0.0439) q[0];
rx(0.196) q[1];
rz(-0.0085) q[1];
rx(0.1937) q[2];
rz(-0.0026) q[2];
rx(0.1858) q[3];
rz(-0.0213) q[3];
rx(0.2034) q[4];
rz(0.0027) q[4];
rx(0.1932) q[5];
rz(0.0056) q[5];
rx(0.1977) q[6];
rz(-0.0033) q[6];
rx(0.1999) 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
d53bc6bd432bf4983d084051835cbd3e | 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}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [544, 33], "expectation_value": -19.96373883286975, "params": null, "bitstrings": ["0111011111", "1111011110"], "total_optimization_steps": 46, "probabilities": [0.34561175166540475, 0.6431958380576097], "optimization_time": 83.41836428642273} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111111110", "1111011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5709) q[4];
cry(-1.5708) q[9], q[0];
ry(0.4463) q[9];
cry(0.0034) q[4], q[9];
ry(-1.5708) q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[1];
ry(-1.5708) q[5];
ry(-1.5708) q[6];
cry(-... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5709) 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]... |
1224486811eca4968ab3a23d5705d513 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [586, 682], "expectation_value": -77.39159113757293, "params": [[0.0014, 0.0028, 0.3749, 0.404, 0.005200000000000001, 0.39730000000000004, 0.3785, 0.401, 0.3688, 0.4048, 0.0034000000000000002, 0.4033, 0.32630000000000003], [0.0039000000000000003, 0.0048000000000000004, 0.38580000000000003, 0.4027, -0.0007, 0... | 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(5) @ Z(2)) + 8.5 * (Z(6) @ Z(3)) + 8.5 * (Z(6) @ Z(5)) + 8.5 * (Z(7) @ Z(5)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(8)) + 8.5 * (Z(12) @ Z(9)) + 8.5 * (Z(11) @ Z(12)) + 8.5 * (Z(4) @ Z(11)) + 6.0 * Z(3) + 0.5 * Z(2) + 18.5 * Z(5) + 13.5 * Z(6) + 14.0 * Z(7) + 1.0 * ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-159.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -138.5, "smallest_bitstrings": ["1110101010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0014) q[0];
ry(0.0028) q[1];
ry(0.3749) q[2];
ry(0.404) q[3];
ry(0.0052) q[4];
ry(0.3973) q[5];
ry(0.3785) q[6];
ry(0.401) q[7];
ry(0.3688) q[8];
ry(0.4048) q[9];
ry(0.0034) q[10];
ry(0.4033) q[11];
ry(0.3263) q[12];
cz q[12], q[11];
cz q[11], q[10];
cz... | OPENQASM 3.0;
include "stdgates.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, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
1469172568662182463 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [3, 6], [0, 2], [1, 6], [0, 6], [6, 7], [0, 7], [8, 4], [1, 4], [2, 3], [8, 0], [4, 5], [0, 1]]} | {"states": [306, 304], "expectation_value": -4.02987237053488, "params": null, "bitstrings": ["011001101", "011001111"], "total_optimization_steps": 66, "probabilities": [0.40756168549543653, 0.43899678628564176], "optimization_time": 99.09534502029419} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001111", "011001101", "100110000", "100110010"]} | 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[6];
cry(-1.0342) q[0], q[2];
ry(1.3762) q[3];
ry(1.0293) q[0];
cry(-0.9034) q[3], q[2];
cry(-0.7681) q[0], q[6];
ry(1.2462) q[4];
cry(-1.5552) q[4], q[8];
cry(0.4612) ... | 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[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];\n... |
902d1b67930e0629acecd09204caf4e9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [89, 95], "expectation_value": -10.259671956045993, "params": null, "bitstrings": ["10100110", "10100000"], "total_optimization_steps": 78, "probabilities": [0.12501699519549195, 0.8278427170880167], "optimization_time": 123.66575026512146} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2796) q[5];
cry(1.5708) q[5], q[1];
ry(1.5708) q[3];
cry(-1.0997) q[3], q[5];
cry(-0.0106) q[1], q[5];
cry(1.2795) q[6], q[5];
cry(0.5014) q[2], q[5];
cry(1.5472) q[1], q[7];
cry(-1.5483) q[7... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
d33bc1e38a91534ccb33169ef0b03611 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [237, 233], "expectation_value": -2.6920386920759887, "params": [-0.0035, 0.21100000000000002, 0.0018000000000000002, 0.2364, 0.3059, 0.0027, 0.3069, -0.001, 0.2917, -0.0007, 0.2954, 0.0023, 0.2838, -0.0081, 0.2899, -0.0086, 0.0891, -0.1019, 0.0915, -0.10110000000000001, 0.3058, -0.0004, 0.2975, -0.007500000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 7 | 9 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["100010011", "101000110", "100010110", "100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0035) q[0];
rz(0.211) q[0];
rx(0.3059) q[1];
rz(0.0027) q[1];
rx(0.2917) q[2];
rz(-0.0007) q[2];
rx(0.2838) q[3];
rz(-0.0081) q[3];
rx(0.0891) q[4];
rz(-0.1019) q[4];
rx(0.3058) q[5];
rz(-0.0004) q[5];
rx(0.1852) q[6];
rz(0.054) q[6];
rx(-0.0026) 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... | null | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [12, 3], "expectation_value": -1.362613996610581, "params": [[-0.0482, 0.016300000000000002, 0.0287], [0.0718, 0.013900000000000001, -0.0158]], "bitstrings": ["10011", "11100"], "total_optimization_steps": 10, "probabilities": [0.036878188760687346, 0.03739224598651888], "optimization_time": 4.30675435066223... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (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)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.1687) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1687) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1687) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1928) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1687) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} |
26ae20390ea3947855f3112b6a50021e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": ... | {"states": [1023, 511], "expectation_value": -3.8109081980392845, "params": [[-0.0449], [0.053200000000000004]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.00177424084435452, 0.001791234555063235], "optimization_time": 1.6754426956176758} | -3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(5) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(5)) + -4.0 * (Z(8) @ Z(3)) + -4.5 * (Z(8) @ Z(1)) + -4.5 * (Z(8) @ Z(5)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(1)) + 1.0 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + -4.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[1];
rz(0.3143) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(-0.1347) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(0.3592) q[5];
cx q[1], q[5];
cx q[3], q[7];
rz(-0.0449) q[7];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 0} | {"circuits": [], "gradients": []} |
6771b778b0f6a5f528500d957ca14d09 | 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": [697, 681], "expectation_value": -54.59908383913913, "params": [2.2087, 0.0092, 1.3709, 0.0023, 2.2017, 0.0081, 0.0028, 0.0097, 2.2106, 0.003, 1.4868000000000001, 0.0025, 2.1968, 0.0095, 1.0512000000000001, 0.006900000000000001, 1.1388, 0.0073, 2.2081, 0.0027, 0.0038, 0.0037, 0.007500000000000001, 0.00240000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(9) @ Z(0)) + 6.0 * (Z(9) @ Z(8)) + 22.0 * Z(0) + 21.0 * Z(2) + 2.5 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["0101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.2087) q[0];
rz(0.0092) q[0];
rx(1.3709) q[1];
rz(0.0023) q[1];
rx(2.2017) q[2];
rz(0.0081) q[2];
rx(0.0028) q[3];
rz(0.0097) q[3];
rx(2.2106) q[4];
rz(0.003) q[4];
rx(1.4868) q[5];
rz(0.0025) q[5];
rx(2.1968) q[6];
rz(0.0095) q[6];
rx(1.0512) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
36ff2850f9ca4956ff6a75a44d9ad0dc | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [112, 81], "expectation_value": -4.99990032398369, "params": null, "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 30, "probabilities": [1.7187467219391787e-05, 0.9999500713211168], "optimization_time": 31.173844575881958} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(-1.4449) q[4];
ry(-1.4449) q[1];
ry(1.4417) q[2];
ry(1.4417) q[0];
ry(1.4384) q[6];
cry(-0.1259) q[2], q[4];
cry(-0.1259) q[6], q[1];
cry(0.1246) q[2], q[6];
cry(0.1... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
570afb120ac224dc3123b6884272022a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [7, 70], "expectation_value": -4.49651553808096, "params": null, "bitstrings": ["1111000", "0111001"], "total_optimization_steps": 26, "probabilities": [0.06700898086964666, 0.929746039807431], "optimization_time": 31.82105278968811} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011011", "0111001", "1111000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
cry(-1.0398) q[0], q[6];
ry(0.7022) q[0];
ry(-0.4578) q[6];
cry(0.497) q[4], q[0];
cry(-0.3761) q[4], q[6];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e1e31cd8da97b1296222838354d79204 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [0, 248], "expectation_value": -11.330479642166278, "params": [-0.33430000000000004, 0.13970000000000002, -0.3002, 0.5651, -0.3302, 0.11610000000000001, -0.2972, 0.6037, 0.31220000000000003, 0.10880000000000001, 0.3004, 0.6473, 0.3044, 0.36610000000000004, 0.2833, 0.522, 0.30860000000000004, 0.192, 0.3011000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 6 | 8 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.3343) q[0];
rz(0.1397) q[0];
rx(-0.3302) q[1];
rz(0.1161) q[1];
rx(0.3122) q[2];
rz(0.1088) q[2];
rx(0.3044) q[3];
rz(0.3661) q[3];
rx(0.3086) q[4];
rz(0.192) q[4];
rx(0.0147) q[5];
rz(0.3968) q[5];
rx(-0.017) q[6];
rz(0.3715) q[6];
rx(0.0406) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [6, 9], "expectation_value": -0.053057356356786725, "params": [[-0.0558], [0.06430000000000001]], "bitstrings": ["11001", "10110"], "total_optimization_steps": 10, "probabilities": [0.03282144635716012, 0.032821446357160125], "optimization_time": 0.9755113124847412} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0558) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0558) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(-0.0558) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0.0558) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.0558) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} |
5a1527813da7c534130c872b3bb3e98c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [236, 109], "expectation_value": -9.582055420699614, "params": null, "bitstrings": ["00010011", "10010010"], "total_optimization_steps": 62, "probabilities": [0.07632024801692329, 0.6620715813116066], "optimization_time": 76.9751443862915} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "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(-1.5708) q[6];
ry(-1.5708) q[3];
cry(-1.57) q[7], q[0];
ry(1.5681) q[5];
cry(1.2279) q[2], q[7];
cry(1.3023) q[7], q[2];
cry(1.5543) q[2], q[4];
cry(1.562) q[5], q[1];
cry(-0.3926) q[2], q[0];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
6bdd98fdc621eb3da82e1da2cf67eefb | 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": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -26.28422955613992, "params": [[[0.0415, -0.0159], [-0.0051, 0.0012000000000000001], [-0.0086, -0.0032], [-0.010400000000000001, 0.002], [-0.0031000000000000003, -0.0031000000000000003], [0.0006000000000000001, -0.003], [-0.0098, -0.0031000000000000003], [0.0001, 0.00240000... | -0.5 * (Z(0) @ Z(8)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -1.0 * (Z(10) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -0.75 * (Z(1) @ Z(9)) + -1.75 * (Z(1) @ Z(10)) + -1.0 * (Z(3) @ Z(8)) + -0.25 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(10)) + -0.75 * ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0415) q[0];
ry(-0.0051) q[1];
ry(-0.0086) q[2];
ry(-0.0104) q[3];
ry(-0.0031) q[4];
ry(0.0006) q[5];
ry(-0.0098) q[6];
ry(0.0001) q[7];
ry(-0.0064) q[8];
ry(-0.0162) q[9];
ry(-0.0318) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3, 66], "expectation_value": -5.411631293733467, "params": null, "bitstrings": ["1111100", "0111101"], "total_optimization_steps": 20, "probabilities": [0.060126454979050156, 0.7888190124847682], "optimization_time": 19.036874532699585} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101111", "1001111", "1111100", "0111101", "1101110", "1110101", "1110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[6];
cry(-1.0343) q[5], q[2];
ry(0.7003) q[5];
ry(0.7003) q[0];
ry(-0.4549) q[6];
ry(-0.4549) q[2];
cry(0.4578) q[5], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
473775bc8d8b4cca680d00f7b64c1aa1 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -0.32050571701975644, "params": [[0.0775], [-0.0702]], "bitstrings": ["010011", "010110"], "total_optimization_steps": 10, "probabilities": [0.018054668896394493, 0.018054668896394496], "optimization_time": 1.757004976272583} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0775) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0775) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0775) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0775) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.0775... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [11, 42], "expectation_value": -3.056534558467635, "params": [[[0.6983, 0.0064], [0.023200000000000002, 0.004], [0.7066, 0.19], [0.4929, 0.0545], [0.7082, 0.6965], [0.678, 0.1705]], [[0.7003, 0.006], [-0.0236, -0.0044], [0.7100000000000001, 0.7040000000000001], [0.48400000000000004, 0.7030000000000001], [0.2... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 15 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.6983) q[0];
ry(0.0232) q[1];
ry(0.7066) q[2];
ry(0.4929) q[3];
ry(0.7082) q[4];
ry(0.678) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0064) q[0];
ry(0.004) q[1];
ry(0.19) q[2];
ry(0.0545) q[3];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5a95825927ec7bde0a2fb4311f797c48 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 8}, {"weight": 12, "source": 1, "target": 9}, {"weight":... | {"states": [467, 466], "expectation_value": -85.44404732187749, "params": [0.2619, -0.1277, 0.2691, -0.138, 0.49510000000000004, 0.0756, 0.49760000000000004, 0.0512, 0.49860000000000004, 0.085, 0.49570000000000003, 0.031, 0.48610000000000003, 0.0373, 0.4894, 0.021400000000000002, 0.0016, 0.29410000000000003, -0.0046, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(8)) + 15.5 * Z(1) + 8.5 * Z(0) + 21.0 * ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["1000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2619) q[0];
rz(-0.1277) q[0];
rx(0.4951) q[1];
rz(0.0756) q[1];
rx(0.4986) q[2];
rz(0.085) q[2];
rx(0.4861) q[3];
rz(0.0373) q[3];
rx(0.0016) q[4];
rz(0.2941) q[4];
rx(0.5014) q[5];
rz(0.0596) q[5];
rx(0.0024) q[6];
rz(0.2641) q[6];
rx(0.1084) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
-8795075552921521964 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[6, 7, 8, 9, 10], [9, 2, 6, 1], [0, 9], [2, 4, 6], [2, 6, 7], [0, 2], [3, 9, 2, 10], [2, 10, 4], [1, 4, 5, 6], [0, 1, 5], [3, 5], [8, 1, 3, 4], [9, 4], [10, 5, 6, 7], [2, 5, 7, 8, 10], [0, 8, 7], [8, 1, 4, 7], [10, 3, 4, 6], [0, 3, 6, 7], [0, 10], [1, 10, 6, ... | {"states": [919, 923], "expectation_value": -5.317603501235128, "params": [-0.0028, -0.0029000000000000002, 1.558, 1.5893000000000002, 1.7183000000000002, 1.4087, 1.5729, 1.5731000000000002, 0.0012000000000000001, 0.0045000000000000005, 0.1704, -0.0946, 0.19840000000000002, 2.9468, 0.9582, -0.0123, 2.3346, 0.8509, 1.56... | 0.4666666666666666 * (Z(7) @ Z(8)) + 0.35 * (Z(9) @ Z(8)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(10) @ Z(8)) + 0.13333333333333333 * (Z(10) @ Z(7)) + 0.05 * (Z(10) @ Z(9)) + 0.26666666666666666 * (Z(2) @ Z(8)) + 0.3 * (Z(2) @ Z(7)) + 0.1 * (Z(2) @ Z(9)) + 0.13333333333333333 * (Z(2) @ Z(10)) + 0.21666666666666667 * (Z(3) @... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.4833333333333325], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.316666666666665, "smallest_bitstrings": ["10001100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0028) q[0];
ry(1.558) q[1];
ry(1.7183) q[2];
ry(1.5729) q[3];
ry(0.0012) q[4];
ry(0.1704) q[5];
ry(0.1984) q[6];
ry(0.9582) q[7];
ry(2.3346) q[8];
ry(1.5694) q[9];
ry(1.62) q[10];
crx(0.0029) q[10], q[0];
crx(0.0015) q[9], q[10];
crx(-0.2898) q[8], q[9... | OPENQASM 3.0;
include "stdgates.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": []} |
ac7ee4fdcaa23947151bb0074b9ea593 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [915, 787], "expectation_value": -92.55425418047989, "params": [0.8313, 0.044700000000000004, 0.9013, -0.039900000000000005, 0.5656, -0.3163, 0.24480000000000002, 0.394, 0.2534, 0.2437, 0.9047000000000001, -0.032, -0.5583, -0.2818, 0.0946, 0.38980000000000004, 0.8916000000000001, -0.0516, 0.8954000000000001,... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(0)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 11.5 * Z(2) + 23.5 * Z(1) + 14.0 * Z(0) + -3.5 * Z(3) + 9.5 * Z(5) + 0.5 * Z(4... | 4 | 10 | 3 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["0011101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8313) q[0];
rz(0.0447) q[0];
rx(0.9013) q[1];
rz(-0.0399) q[1];
rx(0.5656) q[2];
rz(-0.3163) q[2];
rx(0.2448) q[3];
rz(0.394) q[3];
rx(0.2534) q[4];
rz(0.2437) q[4];
rx(0.9047) q[5];
rz(-0.032) q[5];
rx(-0.5583) q[6];
rz(-0.2818) q[6];
rx(0.0946) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
d95402f534dca4e34937ada56ff64246 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -0.3864833392972832, "params": [[-0.052000000000000005], [0.062400000000000004]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009580875993522269, 0.009933100004171193], "optimization_time": 1.9211828708648682} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "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[1], q[0];
rz(0.078) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.104) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.104) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(0.026) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
520b4019fb4986d4ab684733a5ebe8d8 | 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": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [412, 220], "expectation_value": -38.44904712405621, "params": null, "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.11044993350846113, 0.31278172216876643], "optimization_time": 176.21765518188477} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"]} | 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(62.9199) q[2];
ry(62.909) q[4];
ry(37.6583) q[5];
ry(7.5113) q[6];
cry(62.9229) q[6], q[2];
cry(-5.717) q[6], q[4];
ry(18.1362) q[1];
cry(-0.8306) q[6], q[5];
cry(-3.0785) q[6], q[1];
c... | null | {"matching": "maximum", "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(62.9199) 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] = ... |
cbea2a0bad77c88d1e69497e2bb1bc1a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1516, 1260], "expectation_value": -1.3698233047199095, "params": [[[2.1051, 0.0078000000000000005], [0.7739, 0.0074], [1.4864000000000002, 0.0032], [2.099, 0.008], [2.0944000000000003, 0.0024000000000000002], [2.0972, 0.0061], [0.7916000000000001, 0.0066], [2.0941, 0.0034000000000000002], [2.1061, 0.0062000... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 27, "first_excit... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.1051) q[0];
rz(0.0078) q[0];
rx(0.7739) q[1];
rz(0.0074) q[1];
rx(1.4864) q[2];
rz(0.0032) q[2];
rx(2.099) q[3];
rz(0.008) q[3];
rx(2.0944) q[4];
rz(0.0024) q[4];
rx(2.0972) q[5];
rz(0.0061) q[5];
rx(0.7916) q[6];
rz(0.0066) q[6];
rx(2.0941) 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": []} |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [47, 63], "expectation_value": -2.8540203722133364, "params": null, "bitstrings": ["1010000", "1000000"], "total_optimization_steps": 37, "probabilities": [0.2088511956890643, 0.2100965666861345], "optimization_time": 28.61558985710144} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 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, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1111100", "1111110", "1100010", "1100000", "1100110", "1100100", "1000100", "1011100", "1010100", "1000000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.5486) q[6], q[0];
ry(1.035) q[6];
ry(1.5566) q[3];
cry(-0.4546) q[3], q[0];
cry(0.3664) q[3], q[6];
ry(-0.2379) q[0];
cry(1.0298) q[1], q[5];
cry(0.1269) q[5], q[6];
cry(0.6734) q[3], q[4];
ry(0.39... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5486) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
0383062743a6032431a10ba112efca08 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [480, 8672], "expectation_value": -25.90568977585751, "params": [0.004200000000000001, 0.7138, 0.0023, -0.9812000000000001, -0.5519000000000001, 0.09280000000000001, 0.006200000000000001, 0.7597, 0.005, 0.9815, 0.0041, 0.8273, 0.0021000000000000003, 0.8138000000000001, 0.8329000000000001, 0.02590000000000000... | 0.5 * (Z(0) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(0)) + 1.0 * (Z(1) @ Z(13)) + 0.75 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(13)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(14)) + -1.0 * (Z(4) @ Z... | 18 | 16 | 3 | {"smallest_eigenvalues": [-26.24999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.249999999999734, "smallest_bitstrings": ["1101111000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.0042) q[0];
rz(0.7138) q[0];
rx(0.0023) q[1];
rz(-0.9812) q[1];
rx(-0.5519) q[2];
rz(0.0928) q[2];
rx(0.0062) q[3];
rz(0.7597) q[3];
rx(0.005) q[4];
rz(0.9815) q[4];
rx(0.0041) q[5];
rz(0.8273) q[5];
rx(0.0021) q[6];
rz(0.8138) q[6];
rx(0.8329) 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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
644dce41a8353a1719922fff65b82c57 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [380, 376], "expectation_value": -81.25005750122641, "params": [0.405, 0.3166, 0.9038, 0.09330000000000001, 0.2793, 0.3841, 0.8956000000000001, 0.002, 0.8902, 0.0189, 0.8978, -0.0089, 0.9025000000000001, 0.11620000000000001, 0.4526, 0.2506, -0.0011, 0.6704, 0.35800000000000004, 0.2783, 0.399, 0.2992, 0.89960... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(3)) + 4.0 * Z(0) + 15.0 * Z(1) + 14.0 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.0, "smallest_bitstrings": ["1010000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.405) q[0];
rz(0.3166) q[0];
rx(0.9038) q[1];
rz(0.0933) q[1];
rx(0.2793) q[2];
rz(0.3841) q[2];
rx(0.8956) q[3];
rz(0.002) q[3];
rx(0.8902) q[4];
rz(0.0189) q[4];
rx(0.8978) q[5];
rz(-0.0089) q[5];
rx(0.9025) q[6];
rz(0.1162) q[6];
rx(0.4526) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
47cc3572ddac8db9cfe3d2e2cd09f1ef | 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": 7}, {"capacity": 6, "source": 1, "target": 7}, {"capacity": 5, "source": 2, "target": 6}, {"capac... | {"states": [512, 511], "expectation_value": -16.868918479098458, "params": [[[0.1119, 0.163], [-0.0011, -0.9392], [-0.0032, 0.002], [-0.0024000000000000002, -0.0024000000000000002], [-0.0023, -0.0025], [-0.0026000000000000003, -0.0024000000000000002], [-0.0031000000000000003, -0.0023], [-0.002, 0.003], [-0.0782, -0.743... | -1.25 * (Z(0) @ Z(7)) + -3.0 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(8) @ Z(3)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-17.5, -17.5, -17.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.5, "smallest_bitstrings": ["1000000000", "1000001000", "1010001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.1119) q[0];
ry(-0.0011) q[1];
ry(-0.0032) q[2];
ry(-0.0024) q[3];
ry(-0.0023) q[4];
ry(-0.0026) q[5];
ry(-0.0031) q[6];
ry(-0.002) q[7];
ry(-0.0782) q[8];
ry(0.5552) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
668f90355fba57bcb4fb60386433c90f | 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": 10, "source": 0, "... | {"states": [106, 107], "expectation_value": -26.952698639577534, "params": null, "bitstrings": ["10010101", "10010100"], "total_optimization_steps": 100, "probabilities": [0.062152393794066674, 0.2689894451535224], "optimization_time": 165.2543511390686} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(22.4081) q[2];
ry(6.6475) q[4];
ry(63.0918) q[7];
ry(4.3338) q[6];
cry(32.9752) q[4], q[7];
cry(-2.9224) q[7], q[4];
cry(28.3989) q[7], q[2];
cry(0.0014) q[2], q[4];
cry(0.7192) q[5], q[4];
cry... | 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(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [48, 17], "expectation_value": -8.891106539551968, "params": null, "bitstrings": ["001111", "101110"], "total_optimization_steps": 28, "probabilities": [0.09024375903515425, 0.8025197132661654], "optimization_time": 15.481872797012329} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
cry(-1.5708) q[5], q[0];
ry(1.0979) q[5];
ry(-0.2074) q[0];
cry(1.5574) q[5], q[1];
cry(-0.1484) q[1], q[0];
cry(-0.0982) q[1], q[5];
ry(-1.5486) q[4];
cry(0.3028) q[3], q[5];
ry(-1.2682) q[3];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
a38227ca05bb5e1c3110df61e15475e5 | community_detection | 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": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [21930, 21866], "expectation_value": -1.7118239122548957, "params": null, "bitstrings": ["1010101001010101", "1010101010010101"], "total_optimization_steps": 100, "probabilities": [0.12156514669973657, 0.27084641914566904], "optimization_time": 1082.3506462574005} | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + -0.0011718750000000002 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + -0.0011718750000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001953125 * (Z(6) @ Z(0)... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021679687499989], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021679687499931, "smallest_bitstrings": ["1010101010010101"]} | 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];
cry(-0.5945) q[10], q[11];
cry(-0.594) q[12], q[13];
cry(-0.5947) q[14], q[15];
cry(-0.5934) q[9], q[8];
cry(-0.5941) q[1], ... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] 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];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5945) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
047a6db213ec2347412434e39dcab446 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [124, 120], "expectation_value": -6.719121254209966, "params": [0.0026000000000000003, 0.006200000000000001, 0.0026000000000000003, 0.003, 0.9715, 0.0027, 1.465, 0.0081, 1.6665, 0.0039000000000000003, 2.2062, 0.0034000000000000002, 2.2036000000000002, 0.0037, 2.1031, 0.0014, 1.5239, 0.0047, 0.0035, 0.0052000... | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0026) q[0];
rz(0.0062) q[0];
rx(0.0026) q[1];
rz(0.003) q[1];
rx(0.9715) q[2];
rz(0.0027) q[2];
rx(1.465) q[3];
rz(0.0081) q[3];
rx(1.6665) q[4];
rz(0.0039) q[4];
rx(2.2062) q[5];
rz(0.0034) q[5];
rx(2.2036) q[6];
rz(0.0037) q[6];
rx(2.1031) 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[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
1e893dfbb1c990e67f8298b0e1719b46 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 127], "expectation_value": -1.015826076624105, "params": [[0.0674], [-0.060700000000000004]], "bitstrings": ["0000000000", "1110000000"], "total_optimization_steps": 10, "probabilities": [0.0015308174358424924, 0.0015885760714628371], "optimization_time": 0.7041349411010742} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["1110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(-0.2696) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2696) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0674) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.2696) 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;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} |
11e3db404ceab325d959c6faf4c54e2e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [454, 458], "expectation_value": -0.3187837761470266, "params": [[0.0011, -0.7529, 0.8465, 0.8462000000000001, -0.0001, 0.2944, -0.0013000000000000002, 0.0011, 0.8463], [0.0034000000000000002, 1.0366, 0.8389000000000001, 0.0091, 0.2944, 0.0024000000000000002, 1.0692000000000002, 0.0018000000000000002, 0.0051... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 9 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["000111001", "000110101", "100100011", "000111100", "010111000", "000110011"]} | 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];
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(0.0011) q[0];
rx(-0.7529) q[1];
rx(0.8465) q[2];
rx(0.8462) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2808937062555953310 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[11, 6], [0, 10, 3, 4], [0, 1, 3, 6, 9], [8, 4, 12, 6], [9, 5, 6], [3, 12], [0, 3, 7, 10, 11], [2, 7], [1, 6, 7, 10, 12], [0, 1, 4, 7, 12], [8, 6, 7], [2, 11, 4], [3, 9, 11, 5], [1, 2, 6], [9, 12]]} | {"states": [2940, 2924], "expectation_value": -4.198224542077929, "params": [0.35710000000000003, 0.36410000000000003, 1.5666, 1.5808, -0.014100000000000001, -0.0114, 1.5675000000000001, 1.5704, 1.5691000000000002, 1.5667, 0.1837, 0.1836, 1.5724, 1.5745, 1.572, 1.5477, 0.7559, 0.7649, 1.5848, 1.5535, 1.9754, 1.16390000... | 0.5 * (Z(11) @ Z(6)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(11)) + 0.05 * (Z(10) @ Z(6)) + 0.05 * (Z(10) @ Z(11)) + 0.13333333333333333 * (Z(10) @ Z(0)) + 0.05 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(11)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(10)) + 0.08333333333333333 * (... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.383333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.216666666666667, "smallest_bitstrings": ["1010010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.3571) q[0];
ry(1.5666) q[1];
ry(-0.0141) q[2];
ry(1.5675) q[3];
ry(1.5691) q[4];
ry(0.1837) q[5];
ry(1.5724) q[6];
ry(1.572) q[7];
ry(0.7559) q[8];
ry(1.5848) q[9];
ry(1.9754) q[10];
ry(-0.0184) q[11];
ry(-0.0022) q[12];
crz(-0.9906) q[12], q[0];
crz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [374, 238], "expectation_value": -0.17737377422018974, "params": [[-0.0741, -0.0833], [0.0738, 0.0779]], "bitstrings": ["010001001", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0027235036230781186, 0.0027235036230781194], "optimization_time": 12.7235689163208} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | 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(-0.0185) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0185) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0185) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0185) q[1];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
-1920362833439434127 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 5], [2, 5], [8, 0, 7], [8, 2, 3], [8, 9, 5], [4, 6, 7], [9, 7], [0, 9, 3], [9, 6], [1, 7], [2, 4, 7], [2, 3, 7], [0, 3, 7], [8, 4, 5], [5, 6], [1, 6], [0, 4, 7], [8, 9, 2], [0, 2], [8, 0, 4], [0, 9, 5], [3, 4, 5], [3, 6, 7], [2, 6], [8, 6, 7]]} | {"states": [598, 606], "expectation_value": -4.591128084482714, "params": [1.2016, -0.0689, 1.1951, 0.0088, 0.8611000000000001, 0.32020000000000004, 0.3366, 0.0032, 0.7915000000000001, 0.0883, 0.5772, 0.0051, 1.2022000000000002, -0.0911, 1.1925000000000001, 0.0018000000000000002, 1.0171000000000001, 0.16790000000000002... | 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2016) q[0];
rz(-0.0689) q[0];
rx(0.8611) q[1];
rz(0.3202) q[1];
rx(0.7915) q[2];
rz(0.0883) q[2];
rx(1.2022) q[3];
rz(-0.0911) q[3];
rx(1.0171) q[4];
rz(0.1679) q[4];
rx(1.1959) q[5];
rz(-0.0991) q[5];
rx(1.1961) q[6];
rz(-0.0951) q[6];
rx(1.1928) 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": []} |
b72451fd8beb69606a84f4be9a392c11 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [125, 1], "expectation_value": -3.762885676141292, "params": [[0.058, 0.0763, 0.07930000000000001], [-0.0187, -0.0626, -0.07590000000000001]], "bitstrings": ["10000010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01425663236340935, 0.015043441082764099], "optimization_time": 5.433862209... | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.116) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.145) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.087) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.087) q[6];
cx q[0], q[6];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [431, 427], "expectation_value": -3.8430387534363017, "params": [0.8902, 0.1213, 0.9503, 0.1636, 0.46190000000000003, 0.3159, 0.9451, 0.202, 0.43570000000000003, 0.32630000000000003, 0.9424, 0.0714, 0.4797, 0.3321, 0.9294, 0.22460000000000002, 0.9308000000000001, 0.0442, 0.8785000000000001, 0.097300000000000... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8902) q[0];
rz(0.1213) q[0];
rx(0.9503) q[1];
rz(0.1636) q[1];
rx(0.4619) q[2];
rz(0.3159) q[2];
rx(0.9451) q[3];
rz(0.202) q[3];
rx(0.4357) q[4];
rz(0.3263) q[4];
rx(0.9424) q[5];
rz(0.0714) q[5];
rx(0.4797) q[6];
rz(0.3321) q[6];
rx(0.9294) q[7];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
8b6d23382ec67338ff3d4393bc92189d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"sour... | {"states": [272, 274], "expectation_value": -7.720905073833117, "params": [0.9032, -0.0009000000000000001, 0.9016000000000001, 0.0047, -0.005, 0.4305, -0.0026000000000000003, 0.0081, 0.0014, 0.5365, 0.0015, 0.005200000000000001, 0.5318, 0.3038, 0.5292, 0.008, 0.9093, -0.0013000000000000002, 0.9087000000000001, 0.0046, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["111100011", "111001101", "011101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9032) q[0];
rz(-0.0009) q[0];
rx(-0.005) q[1];
rz(0.4305) q[1];
rx(0.0014) q[2];
rz(0.5365) q[2];
rx(0.5318) q[3];
rz(0.3038) q[3];
rx(0.9093) q[4];
rz(-0.0013) q[4];
rx(-0.0031) q[5];
rz(0.5059) q[5];
rx(-0.0017) q[6];
rz(0.546) q[6];
rx(0.8255) 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": []} |
10b46313f5ba69fed433ce41b4ff5c0d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"sour... | {"states": [255, 127], "expectation_value": -15.54920655732684, "params": [[[1.6697000000000002, 0.008400000000000001], [-0.0025, 0.0098], [-0.0024000000000000002, 0.0098], [-0.0026000000000000003, 0.0074], [0.0024000000000000002, 0.0028], [-0.0049, 0.003], [0.002, 0.0032], [3.1458, 0.0006000000000000001]]], "bitstring... | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0... | 2 | 8 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6697) q[0];
rz(0.0084) q[0];
rx(-0.0025) q[1];
rz(0.0098) q[1];
rx(-0.0024) q[2];
rz(0.0098) q[2];
rx(-0.0026) q[3];
rz(0.0074) q[3];
rx(0.0024) q[4];
rz(0.0028) q[4];
rx(-0.0049) q[5];
rz(0.003) q[5];
rx(0.002) q[6];
rz(0.0032) q[6];
rx(3.1458) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 0} | {"circuits": [], "gradients": []} |
b74e80974c25a6ca61c3dc8e293dd53f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [0, 255], "expectation_value": -25.121162689021183, "params": [[[0.0022, 1.6113000000000002], [0.0024000000000000002, 0.0022], [0.0022, 0.0024000000000000002], [0.0021000000000000003, 0.0021000000000000003], [0.0026000000000000003, 0.0025], [0.0029000000000000002, -0.003], [0.0023, 0.0027], [0.0022, -0.87730... | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + 1.... | 15 | 8 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -27.0, "smallest_bitstrings": ["00000000", "00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0022) q[0];
ry(0.0024) q[1];
ry(0.0022) q[2];
ry(0.0021) q[3];
ry(0.0026) q[4];
ry(0.0029) q[5];
ry(0.0023) q[6];
ry(0.0022) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x0) q[2];
... | {"node": 8} | {"circuits": [], "gradients": []} |
82b7510e3c4f18f03c81315097910da2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -0.37956824301397984, "params": [[0.0792], [-0.0825]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.021037985858252336, 0.021452572339764733], "optimization_time": 1.4404237270355225} | -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];
cx q[1], q[0];
rz(-0.0396) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.1188) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0792) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(-0.0396) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
540e4dc6cd5ba125f618f28f48205cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 1, "tar... | {"states": [245, 244], "expectation_value": -12.989796707418115, "params": [[0.0257, 0.010400000000000001, 0.0184], [-0.0317, -0.0317, -0.0256]], "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004602222363391293, 0.005311548927256425], "optimization_time": 6.88456964492797... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100001011"]} | 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(0.2313) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2313) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2313) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.2313) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
3012e1b6018e3f767ff12c1a3a3c35a1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [67, 28], "expectation_value": -0.27773990076469024, "params": [[0.0458, 0.0562], [-0.0357, -0.044500000000000005]], "bitstrings": ["0111100", "1100011"], "total_optimization_steps": 10, "probabilities": [0.009305722216163471, 0.00951281057124004], "optimization_time": 6.551813125610352} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1001101", "1100011", "0111100"]} | 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(0.0458) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0458) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0458) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0458) q[3];
cx q[0], q[3];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
dc79b1d1506b238352b546bee89b4fcb | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [487, 511], "expectation_value": -13.320084688469183, "params": null, "bitstrings": ["000011000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.12833778735373166, 0.45731008000730144], "optimization_time": 196.77639269828796} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[6], q[8];
cry(1.5708) q[8], q[7];
cry(1.14) q[7], q[6];
cry(0.4215) q[7], q[8];
cry(1.5706) q[1], q[2];
cry(1.5708) q[2], q[3];
cry(1.2306) q[3], q[1];
cry(0.4422) q[3], q[2]... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 22], "expectation_value": -3.4999003241120192, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 26, "probabilities": [1.7187859465320965e-05, 0.9999500713236515], "optimization_time": 18.276226043701172} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.4449) q[0];
ry(-1.4449) q[5];
ry(1.4417) q[3];
ry(1.4417) q[1];
ry(1.4384) q[4];
cry(-0.1259) q[4], q[5];
cry(-0.1259) q[3], q[0];
cry(0.1246) q[3], q[4];
cry(0.1218) q[4], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
62ca4fdc3f835f51dee1780376d2bf19 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [167, 110], "expectation_value": -0.0502939438359107, "params": [[0.0651], [-0.059800000000000006]], "bitstrings": ["01011000", "10010001"], "total_optimization_steps": 10, "probabilities": [0.004335630302727521, 0.004335630302727528], "optimization_time": 5.39241099357605} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["10010001", "01011000"]} | 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(0.0651) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0651) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(0.0163) q[0];
cx q[2], q[0];
cx q[4], q[0];
rz(0.0163) q[0];
cx q[4], q[0];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[... | null | {"circuits": [], "gradients": []} |
-8897099806926475842 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 5, 6], [0, 1, 2, 5, 6], [0, 4, 5], [3, 4, 6], [2, 3, 5, 6], [2, 3, 4], [1, 3, 6], [0, 1, 2, 4]]} | {"states": [47, 55], "expectation_value": -1.9995687970406815, "params": null, "bitstrings": ["1010000", "1001000"], "total_optimization_steps": 37, "probabilities": [0.03818626442402968, 0.917651137914684], "optimization_time": 50.59607648849487} | 0.18333333333333335 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.18333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9000000000000004, "smallest_bitstrings": ["1001000"]} | 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(1.544) q[4];
ry(1.3899) q[6];
cry(-0.8244) q[2], q[3];
ry(0.8116) q[2];
cry(-0.7304) q[6], q[3];
cry(0.5446) q[4], q[2];
cry(-0.3096) q[4], q[3];
cry(-0.5786) q[5], q[0];
ry(0.5696) q[1];
cry(-0.4067) ... | 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(1.544) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "O... |
-9222355336606288812 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1], [0, 6], [3, 4], [0, 2], [0, 7], [4, 7], [8, 1], [2, 5], [8, 7], [8, 6], [3, 6], [5, 7], [8, 3], [0, 3], [1, 3], [8, 5], [1, 5]]} | {"states": [174, 230], "expectation_value": -4.659739669513433, "params": null, "bitstrings": ["101010001", "100011001"], "total_optimization_steps": 100, "probabilities": [0.09423781900171295, 0.7230909580650192], "optimization_time": 236.5636546611786} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011001", "011100110"]} | 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[7], q[8];
cry(-1.0342) q[6], q[0];
ry(1.0293) q[6];
cry(1.4052) q[6], q[1];
cry(-0.9035) q[1], q[0];
cry(1.2164) q[1], q[7];
cry(-0.9865) q[1], q[8];
cry(-1.394) q[2], q[5];... | 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[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
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