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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b426b8aff164c6823b185eb6b091738d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [38, 7], "expectation_value": -6.60486795573731, "params": null, "bitstrings": ["011001", "111000"], "total_optimization_steps": 54, "probabilities": [0.10494263610666708, 0.6036000662340474], "optimization_time": 57.34344267845154} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[0];
ry(0.8148) q[5];
cry(-1.5708) q[4], q[2];
ry(0.7607) q[4];
cry(-1.5708) q[3], q[1];
ry(0.8901) q[3];
ry(-0.3824) q[1];
ry(-0.3222) q[0];
cry(-0.3012) q[3], q[2];
cry(0.4283) q[3], q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
2c15deea3644dfbcf53b5ef31047e7a3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [15, 143], "expectation_value": -3.1558498099175942, "params": [0.8097000000000001, 0.0034000000000000002, 0.0071, -0.35050000000000003, 0.1953, -0.3543, 0.40090000000000003, -0.2975, 0.8022, 0.0102, 0.8038000000000001, 0.0035, 0.8049000000000001, -0.0029000000000000002, 0.8083, -0.0014, 0.8104, 0.1584, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(3) | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110000", "01100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8097) q[0];
rz(0.0034) q[0];
rx(0.0071) q[1];
rz(-0.3505) q[1];
rx(0.1953) q[2];
rz(-0.3543) q[2];
rx(0.4009) q[3];
rz(-0.2975) q[3];
rx(0.8022) q[4];
rz(0.0102) q[4];
rx(0.8038) q[5];
rz(0.0035) q[5];
rx(0.8049) q[6];
rz(-0.0029) q[6];
rx(0.8083) 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": []} |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [32, 37], "expectation_value": -6.7499846294977495, "params": null, "bitstrings": ["1011111", "1011010"], "total_optimization_steps": 22, "probabilities": [0.13524994988448263, 0.7500017798526092], "optimization_time": 17.160821437835693} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"]} | 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(-1.5706) q[5];
cry(1.5486) q[6], q[4];
cry(1.228) q[4], q[6];
ry(1.5158) q[1];
cry(-1.4869) q[6], q[0];
ry(-1.3848) q[2];
cry(-0.1701) q[1], q[2];
ry(-0.0831) q[0];
cry(0.048) q[4], q... | 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[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", ... |
88d08310cecbc7a3e83627c144340291 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 86], "expectation_value": -0.15401582985573584, "params": [[-0.0441], [0.054700000000000006]], "bitstrings": ["1011110", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008387394814487869, 0.008537579940411206], "optimization_time": 1.5195975303649902} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0441) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0441) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0441) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(-0.0441) q[6];
cx q[0], q[6];
cx q[3], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0)... | null | {"circuits": [], "gradients": []} |
570854331bf757be794b813c390e4e40 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [44, 113], "expectation_value": -1.383065592721667, "params": [[0.0792, 0.0717, 0.0818], [-0.08310000000000001, -0.0611, -0.0738]], "bitstrings": ["1010011", "0001110"], "total_optimization_steps": 10, "probabilities": [0.01655787758797397, 0.017593770976327014], "optimization_time": 7.369237899780273} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0792) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.0792) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.0792) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.0792) q[1];
cx q[5], q[1];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
ec86dd03f1bc9f7a5980c14449900d15 | 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}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -5.333054700113963, "params": [0.0013000000000000002, 0.26430000000000003, 0.0026000000000000003, 0.313, 0.0025, 0.3043, 0.0033, 0.30210000000000004, 0.3186, 0.010400000000000001, 0.0025, 0.28350000000000003, 0.0026000000000000003, 0.30770000000000003, 0.4066, 0.0085, 0.006, 0.28... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0013) q[0];
rz(0.2643) q[0];
rx(0.0026) q[1];
rz(0.313) q[1];
rx(0.0025) q[2];
rz(0.3043) q[2];
rx(0.0033) q[3];
rz(0.3021) q[3];
rx(0.3186) q[4];
rz(0.0104) q[4];
rx(0.0025) q[5];
rz(0.2835) q[5];
rx(0.0026) q[6];
rz(0.3077) q[6];
rx(0.4066) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
dff6b7c8d2fb1f633c6f93517d212741 | 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": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [41, 297], "expectation_value": -4.149562067271265, "params": [1.6313, 0.0011, 1.4919, 0.0022, 1.4536, 0.001, 1.6891, 0.0028, -0.0037, 0.0035, 1.7107, 0.0002, -0.0025, 0.0023, 0.055900000000000005, 0.008, 1.7140000000000002, 0.0032, 0.0083, 0.001, 0.0063, 0.007500000000000001, 0.0016, 0.0043, 0.0089, 0.001],... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 *... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["011010110", "100110110", "011010101", "010110110", "101010101", "101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6313) q[0];
rz(0.0011) q[0];
rx(1.4919) q[1];
rz(0.0022) q[1];
rx(1.4536) q[2];
rz(0.001) q[2];
rx(1.6891) q[3];
rz(0.0028) q[3];
rx(-0.0037) q[4];
rz(0.0035) q[4];
rx(1.7107) q[5];
rz(0.0002) q[5];
rx(-0.0025) q[6];
rz(0.0023) q[6];
rx(0.0559) 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": []} |
-8691921237965836926 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 4], [8, 2, 4], [2, 4, 5, 6], [8, 2, 3, 6], [1, 2], [1, 4], [3, 4, 5], [0, 6], [0, 5], [0, 8, 2, 3], [1, 6, 7], [8, 1, 3, 7]]} | {"states": [127, 126], "expectation_value": -2.9517659742172997, "params": [0.3956, 0.5137, 0.3914, 0.0045000000000000005, 0.48950000000000005, -0.441, 0.4842, 0.0078000000000000005, 1.2950000000000002, 0.0786, 1.2983, 0.006900000000000001, 1.2945, -0.1841, 1.2746, 0.0029000000000000002, 1.2932000000000001, -0.0945, 1.... | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.25 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7499999999999996, "smallest_bitstrings": ["110000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3956) q[0];
rz(0.5137) q[0];
rx(0.4895) q[1];
rz(-0.441) q[1];
rx(1.295) q[2];
rz(0.0786) q[2];
rx(1.2945) q[3];
rz(-0.1841) q[3];
rx(1.2932) q[4];
rz(-0.0945) q[4];
rx(1.3035) q[5];
rz(-0.1469) q[5];
rx(1.3046) q[6];
rz(-0.1363) q[6];
rx(1.295) 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": []} |
5129940d52965c3bcc0f8dd9c73f53f5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 7], "expectation_value": -5.058572726016471, "params": [[[0.0034000000000000002, 0.001, 0.0038, 0.003], [0.0026000000000000003, -0.0011, 0.0029000000000000002, 0.0081], [0.0026000000000000003, 0.6507000000000001, 0.0026000000000000003, 0.0034000000000000002], [1.6099, 0.0037, 0.009600000000000001, 0.0014... | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0) | 11 | 4 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
ry(0.0034) q[0];
rz(0.001) q[0];
ry(0.0026) q[1];
rz(-0.0011) q[1];
ry(0.0026) q[2];
rz(0.6507) q[2];
ry(1.6099) q[3];
rz(0.0037) q[3];
cx q[1], q[0];
cx q[3], q[2];
ry(0.0029) q[1];
rz(0.0081) q[1];
ry(0.0026) q[2];
rz(0.0034) q[2];
cx q[2], q[1];
c[0] = meas... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[4] c;
qubit[4] q;
ry(x0) q[0];
rz(x1) q[0];
ry(x2) q[1];
rz(x3) q[1];
ry(x2) q[2];
rz(x4) q[2];
ry... | {"node": 1} | {"circuits": [], "gradients": []} |
99b3fc36a21bdc696a0e30c99214008a | 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": [121, 59], "expectation_value": -102.03167533879288, "params": [[[1.5845, 0.1301], [0.0714, 0.1332], [-0.0051, 0.0815], [1.5941, 1.6009], [1.5371000000000001, -0.186], [1.5811000000000002, -0.0056], [1.5852000000000002, -0.004], [-0.011000000000000001, 0.1338], [0.0601, 0.5341], [-0.22870000000000001, 0.2251... | 7.0 * (Z(1) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(2) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.5 * Z(4) + -5.5 * Z(1) + 8.0 * Z(3) + 15.5 * Z(5) + -5.0 * Z(2) + 23.5 * Z(6... | 15 | 10 | 2 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["1111000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5845) q[0];
ry(0.0714) q[1];
ry(-0.0051) q[2];
ry(1.5941) q[3];
ry(1.5371) q[4];
ry(1.5811) q[5];
ry(1.5852) q[6];
ry(-0.011) q[7];
ry(0.0601) q[8];
ry(-0.2287) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.531982200016436, "params": [[[0.8019000000000001, 0.004], [0.9065000000000001, 0.0058000000000000005], [0.9066000000000001, 0.006900000000000001], [0.9025000000000001, 0.005], [0.9084000000000001, 0.0064], [1.5961, 0.0061], [1.5908, 0.003], [1.5992000000000002, 0.002900000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8019) q[0];
rz(0.004) q[0];
rx(0.9065) q[1];
rz(0.0058) q[1];
rx(0.9066) q[2];
rz(0.0069) q[2];
rx(0.9025) q[3];
rz(0.005) q[3];
rx(0.9084) q[4];
rz(0.0064) q[4];
rx(1.5961) q[5];
rz(0.0061) q[5];
rx(1.5908) q[6];
rz(0.003) q[6];
rx(1.5992) q[7];
rz(0.002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} |
99b3fc36a21bdc696a0e30c99214008a | 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": [63, 59], "expectation_value": -76.83736832595935, "params": [-0.0025, 0.0086, -0.003, 0.008, 0.003, 0.0057, 1.4724000000000002, 0.0046, 2.5092000000000003, 0.0074, 2.5087, 0.009300000000000001, 2.4925, 0.0048000000000000004, 1.4728, 0.0017000000000000001, 2.4877000000000002, 0.0043, 2.4974000000000003, 0.00... | 7.0 * (Z(1) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(2) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.5 * Z(4) + -5.5 * Z(1) + 8.0 * Z(3) + 15.5 * Z(5) + -5.0 * Z(2) + 23.5 * Z(6... | 18 | 10 | 1 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["1111000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0025) q[0];
rz(0.0086) q[0];
rx(-0.003) q[1];
rz(0.008) q[1];
rx(0.003) q[2];
rz(0.0057) q[2];
rx(1.4724) q[3];
rz(0.0046) q[3];
rx(2.5092) q[4];
rz(0.0074) q[4];
rx(2.5087) q[5];
rz(0.0093) q[5];
rx(2.4925) q[6];
rz(0.0048) q[6];
rx(1.4728) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1949, 3485], "expectation_value": -6.93067462346183, "params": null, "bitstrings": ["100001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.060871614420582795, 0.8703448869995719], "optimization_time": 347.3267869949341} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010100010001", "100100010001", "001100001010", "100100001010", "100010100001", "100001100010", "001001010100", "... | 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];
ry(1.5706) q[11];
ry(1.5681) q[7];
ry(1.5681) q[3];
ry(1.5486) q[1];
ry(1.4449) q[9];
cry(-1.0341) q[0], q[2];
cry(-1.0315) q[8], q[6];
ry(1.067) q[8];
cry(-0.7... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... |
1544988c6452fa79840159cabec617a0 | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [0, 3], "expectation_value": -14.875510354921964, "params": [0.0032, 0.0034000000000000002, -0.0027, 0.0046, 0.0027, 0.008700000000000001, 0.0026000000000000003, 0.0008, 0.0027, 0.0085, 0.0024000000000000002, 0.0001, 0.0025, 0.0073, 0.0025, 0.8477, 1.1781000000000001, 0.0, 1.6067, 0.0041, 0.00240000000000000... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 4 | 10 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111110", "1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0032) q[0];
rz(0.0034) q[0];
rx(-0.0027) q[1];
rz(0.0046) q[1];
rx(0.0027) q[2];
rz(0.0087) q[2];
rx(0.0026) q[3];
rz(0.0008) q[3];
rx(0.0027) q[4];
rz(0.0085) q[4];
rx(0.0024) q[5];
rz(0.0001) q[5];
rx(0.0025) q[6];
rz(0.0073) q[6];
rx(0.0025) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
709eef7fa043e60a64fcf55872bddab8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 1016], "expectation_value": -24.65116828134515, "params": [[[0.0026000000000000003, 0.007200000000000001], [0.0027, 0.009000000000000001], [0.0022, 0.007], [0.0027, 0.0076], [0.0021000000000000003, 0.0024000000000000002], [0.0033, 0.008], [1.6141, 0.0046], [0.0018000000000000002, 0.0086], [0.003100000000... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 ... | 2 | 10 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0026) q[0];
rz(0.0072) q[0];
rx(0.0027) q[1];
rz(0.009) q[1];
rx(0.0022) q[2];
rz(0.007) q[2];
rx(0.0027) q[3];
rz(0.0076) q[3];
rx(0.0021) q[4];
rz(0.0024) q[4];
rx(0.0033) q[5];
rz(0.008) q[5];
rx(1.6141) q[6];
rz(0.0046) q[6];
rx(0.0018) 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] x2;
input float[64] x3;
input float[6... | {"node": 9} | {"circuits": [], "gradients": []} |
b3430a7a5a7846c97441f35820d47c84 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3003, 2747], "expectation_value": -1.4565033960103526, "params": [1.1952, 1.1946, 0.6985, 0.6979000000000001, 1.155, 1.1509, 0.7314, 0.7287, 1.1272, 1.1191, 0.3884, 0.3932, 1.1935, 1.1945000000000001, 1.201, 1.2042000000000002, 1.2059, 1.2001000000000002, 0.23520000000000002, 0.23770000000000002, 1.1367, 1.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.1952) q[0];
ry(0.6985) q[1];
ry(1.155) q[2];
ry(0.7314) q[3];
ry(1.1272) q[4];
ry(0.3884) q[5];
ry(1.1935) q[6];
ry(1.201) q[7];
ry(1.2059) q[8];
ry(0.2352) q[9];
ry(1.1367) q[10];
ry(1.0509) q[11];
crz(0.0674) q[11], q[0];
crz(0.0113) q[10], q[11];
crz... | OPENQASM 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": []} |
7fc1aaca9b2555712646afcde4133c5a | 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}], "edges": [{"... | {"states": [334, 326], "expectation_value": -53.17651638707159, "params": [[[1.2083000000000002, 0.0036000000000000003], [0.0025, 0.6881], [1.2073, 0.002], [-0.003, -0.6179], [0.06430000000000001, 0.5703], [0.7051000000000001, -0.2316], [1.2093, -0.0012000000000000001], [1.2049, 0.0034000000000000002], [0.002, 0.882300... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + -2.0 * Z(0) + -7.5 * Z(1) + -0.5 * Z(2) + -5.5 * Z(3) + -5.0 * Z(4) + -1.0 * Z(5) + 1.5 * Z(6) + -1.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["010111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2083) q[0];
rz(0.0036) q[0];
rx(0.0025) q[1];
rz(0.6881) q[1];
rx(1.2073) q[2];
rz(0.002) q[2];
rx(-0.003) q[3];
rz(-0.6179) q[3];
rx(0.0643) q[4];
rz(0.5703) q[4];
rx(0.7051) q[5];
rz(-0.2316) q[5];
rx(1.2093) q[6];
rz(-0.0012) q[6];
rx(1.2049) 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]}"} | {"circuits": [], "gradients": []} |
570854331bf757be794b813c390e4e40 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [120, 113], "expectation_value": -5.49989906066681, "params": null, "bitstrings": ["0000111", "0001110"], "total_optimization_steps": 33, "probabilities": [1.6414805265533778e-05, 0.9999303742109635], "optimization_time": 33.539820194244385} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"]} | 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[4];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[3];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[6];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
2cf6224a7b786ab8607e7cc5dbc62158 | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -8.212917224881869, "params": null, "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 49, "probabilities": [0.20431288557519606, 0.6125808501211156], "optimization_time": 42.12017250061035} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"]} | 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(-1.57) q[6], q[0];
ry(1.0559) q[6];
cry(1.5708) q[6], q[5];
cry(-1.5707) q[6], q[2];
cry(-0.5198) q[5], q[0];
ry(-1.5706) q[4];
cry(1.5523) q[1], q[3];
cry(1.229) q[3], q[1];
cry(0.204) q[5], q[6];
ry... | 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(-1.57) 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];... |
-6707064883952822093 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 1, 3, 4], [0, 1, 2, 4]]} | {"states": [127, 123], "expectation_value": -0.4591835116354048, "params": [[[1.6465, 0.0078000000000000005], [2.6224000000000003, 0.0016], [2.5757000000000003, 0.006500000000000001], [2.6279000000000003, 0.0033], [1.5462, 0.0016], [2.605, 0.0058000000000000005], [1.6262, 0.0091]]], "bitstrings": ["0000000", "0000100"]... | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0100010", "0100001", "0011000", "1000010", "1000001", "0000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6465) q[0];
rz(0.0078) q[0];
rx(2.6224) q[1];
rz(0.0016) q[1];
rx(2.5757) q[2];
rz(0.0065) q[2];
rx(2.6279) q[3];
rz(0.0033) q[3];
rx(1.5462) q[4];
rz(0.0016) q[4];
rx(2.605) q[5];
rz(0.0058) q[5];
rx(1.6262) q[6];
rz(0.0091) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
4bc37b26da0f51222429a67e38d55b8f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 255], "expectation_value": -6.803343646375602, "params": [[[0.0024000000000000002, -0.47400000000000003], [0.0023, 0.0027], [0.0021000000000000003, 0.0019], [0.0021000000000000003, 0.0019], [0.0023, 0.0021000000000000003], [0.0021000000000000003, 0.0021000000000000003], [0.002, 0.0024000000000000002], [-... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0024) q[0];
ry(0.0023) q[1];
ry(0.0021) q[2];
ry(0.0021) q[3];
ry(0.0023) q[4];
ry(0.0021) q[5];
ry(0.002) q[6];
ry(-0.0044) q[7];
ry(1.5699) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
cea40deaccddfc7c282a06b59a6c5087 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [1960, 1964], "expectation_value": -2.1003179228986415, "params": [0.303, -0.00030000000000000003, 0.299, -0.00030000000000000003, 0.2962, -0.0005, 0.30360000000000004, -0.0011, 0.2972, 0.0024000000000000002, 0.29400000000000004, 0.005200000000000001, 0.3033, 0.0011, 0.29760000000000003, -0.0033, 0.0015, 0.2... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 7 | 11 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00001100110", "00001100011", "00011100010", "00101010100", "10001000011", "00011011000", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.303) q[0];
rz(-0.0003) q[0];
rx(0.2962) q[1];
rz(-0.0005) q[1];
rx(0.2972) q[2];
rz(0.0024) q[2];
rx(0.3033) q[3];
rz(0.0011) q[3];
rx(0.0015) q[4];
rz(0.2231) q[4];
rx(0.2971) q[5];
rz(0.0035) q[5];
rx(0.0761) q[6];
rz(0.1022) q[6];
rx(0.2966) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
6019be0fa8c3633cf3c67a35b335404e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3415, 3422], "expectation_value": -2.541912028862864, "params": [[[0.6139, 0.0592], [0.7897000000000001, 0.1052], [0.1463, 0.1148], [0.6641, 0.04], [0.1022, 0.0792], [0.793, 0.1826], [0.22540000000000002, 0.26580000000000004], [0.0523, 0.6864], [0.5226000000000001, 0.756], [0.3866, 0.5422], [0.793, 0.6739],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6139) q[0];
ry(0.7897) q[1];
ry(0.1463) q[2];
ry(0.6641) q[3];
ry(0.1022) q[4];
ry(0.793) q[5];
ry(0.2254) q[6];
ry(0.0523) q[7];
ry(0.5226) q[8];
ry(0.3866) q[9];
ry(0.793) q[10];
ry(0.0624) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3ed5f3574fc5742cdca345825268b283 | 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}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [496, 511], "expectation_value": -3.3678508804106784, "params": [[-0.0869], [0.0785]], "bitstrings": ["111000001111", "111000000000"], "total_optimization_steps": 10, "probabilities": [0.0007532845327734753, 0.0007926376056882861], "optimization_time": 2.829503059387207} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["111000000000"]} | 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(0.3476) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3476) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1738) q[2];
cx q[0], q[2];
cx q[7], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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... | {"node": 2} | {"circuits": [], "gradients": []} |
033e733b571b61558fbce85be77f645d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"s... | {"states": [8191, 7167], "expectation_value": -32.19949352542714, "params": [[[-0.0022, 2.7001], [-0.0029000000000000002, -0.0025], [1.6649, -0.0026000000000000003], [-0.0023, 0.0028], [-0.0036000000000000003, -0.003], [-0.0036000000000000003, -0.0031000000000000003], [-0.0033, -0.0031000000000000003], [-0.0033, -0.003... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -2.5 * (Z(8) @ Z(10)) + -2.5 * (Z(11) @ Z(10)) + -2.5 * (Z(11) @ Z(8)) + -2.5 * (Z(12) @ Z(10)) + -2.5 * (Z(12) @ Z(8... | 15 | 13 | 1 | {"smallest_eigenvalues": [-34.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.0, "smallest_bitstrings": ["0010000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0022) q[0];
ry(-0.0029) q[1];
ry(1.6649) q[2];
ry(-0.0023) q[3];
ry(-0.0036) q[4];
ry(-0.0036) q[5];
ry(-0.0033) q[6];
ry(-0.0033) q[7];
ry(-0.002) q[8];
ry(-0.0031) q[9];
ry(-0.0021) q[10];
ry(-0.0028) q[11];
ry(-0.0021) q[12];
cx q[12], q[0];
cx q[11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 2} | {"circuits": [], "gradients": []} |
-1652060222951933145 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 5], [0, 5], [1, 10], [9, 5, 7], [4, 5], [2, 4], [8, 1, 5], [10, 7], [2, 5], [8, 9], [8, 2, 6], [3, 4]]} | {"states": [956, 954], "expectation_value": -2.219376745937296, "params": [0.37070000000000003, -0.3345, 0.3744, 0.006900000000000001, 1.0026000000000002, 0.011600000000000001, 0.9953000000000001, -0.0001, 1.0002, -0.0026000000000000003, 0.9945, 0.001, 1.0023, 0.0031000000000000003, 1.0033, 0.0029000000000000002, 0.573... | 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.166666666... | 8 | 11 | 1 | {"smallest_eigenvalues": [-4.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["10001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3707) q[0];
rz(-0.3345) q[0];
rx(1.0026) q[1];
rz(0.0116) q[1];
rx(1.0002) q[2];
rz(-0.0026) q[2];
rx(1.0023) q[3];
rz(0.0031) q[3];
rx(0.5738) q[4];
rz(-0.1777) q[4];
rx(1.0031) q[5];
rz(0.0176) q[5];
rx(1.0089) q[6];
rz(0.0035) q[6];
rx(1.0041) 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": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [21, 7], "expectation_value": -6.592440922385128, "params": null, "bitstrings": ["101010", "111000"], "total_optimization_steps": 55, "probabilities": [0.1059757887840329, 0.601976266942785], "optimization_time": 71.19649171829224} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 13 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[0];
ry(0.8148) q[3];
cry(-1.5707) q[5], q[2];
ry(0.8063) q[5];
cry(-1.5708) q[4], q[1];
ry(0.7992) q[4];
ry(-0.3673) q[0];
ry(-0.2927) q[2];
cry(0.4403) q[4], q[3];
cry(-0.3263) q[3], q[1];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], 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 ... |
-2403535863598413708 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 6, 7, 8, 10], [2, 4, 5, 7, 8, 9, 10], [0, 1, 2, 5, 8, 9, 10, 11], [0, 1, 5, 6, 8, 9], [1, 2, 4, 5, 7, 8, 10], [9, 1, 7], [3, 5], [2, 3, 4, 7, 9, 10], [0, 2, 3, 8, 9, 10, 11], [1, 4, 5, 6, 10, 11], [9, 6, 7], [0, 5, 6, 7, 8, 10, 11], [1, 2, 3, 4, 6, 8]... | {"states": [3946, 1899], "expectation_value": -3.4387003541812717, "params": [[[1.5674000000000001, 2.6709], [0.6747000000000001, -0.4884], [0.0095, 0.0551], [-2.0349, 2.4721], [-0.31520000000000004, 0.7736000000000001], [-1.2308000000000001, 1.9004], [-1.5728, 1.5729], [1.5728, 1.5732000000000002], [1.5692000000000002... | 0.21785714285714286 * (Z(1) @ Z(8)) + 0.3416666666666667 * (Z(9) @ Z(8)) + 0.2583333333333333 * (Z(9) @ Z(1)) + 0.24166666666666664 * (Z(10) @ Z(8)) + 0.15833333333333333 * (Z(10) @ Z(1)) + 0.28809523809523807 * (Z(10) @ Z(9)) + 0.19285714285714284 * (Z(2) @ Z(8)) + 0.21666666666666665 * (Z(2) @ Z(1)) + 0.1726190476190... | 15 | 12 | 1 | {"smallest_eigenvalues": [-4.276190476190475], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.251190476190476, "smallest_bitstrings": ["100010010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5674) q[0];
ry(0.6747) q[1];
ry(0.0095) q[2];
ry(-2.0349) q[3];
ry(-0.3152) q[4];
ry(-1.2308) q[5];
ry(-1.5728) q[6];
ry(1.5728) q[7];
ry(1.5692) q[8];
ry(1.5729) q[9];
ry(1.5728) q[10];
ry(1.5679) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5709738025258929318 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 6, 7], [0, 8], [0, 2, 3, 5], [8, 1, 5, 6], [8, 3, 5], [8, 1, 4, 5], [3, 4, 6, 7], [8, 7], [8, 2, 4, 5], [0, 4, 6], [0, 3, 5, 7], [1, 3, 4], [0, 1, 2, 4], [2, 5, 7]]} | {"states": [414, 410], "expectation_value": -3.4330898901879854, "params": null, "bitstrings": ["001100001", "001100101"], "total_optimization_steps": 53, "probabilities": [0.08989405266823765, 0.8262313198360163], "optimization_time": 144.57769632339478} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.083333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.583333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000018, "smallest_bitstrings": ["001100101"]} | 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(1.5668) q[5];
ry(1.5298) q[4];
cry(-1.0897) q[7], q[8];
ry(1.4205) q[0];
ry(0.7963) q[7];
cry(-0.8044) q[0], q[8];
cry(0.6314) q[5], q[7];
cry(-0.9747) q[7], q[2];
cry(0.8) q[7], q[1];
... | 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(1.5668) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
-8381549115396801712 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 3, 5, 7, 8, 10], [9, 4], [8, 2, 7], [0, 9, 5, 6], [1, 10, 6, 7], [1, 4], [3, 6, 7, 8, 9], [1, 9], [1, 3, 6, 8, 10], [2, 10, 5, 6], [2, 3], [8, 1, 0, 7], [0, 6, 7, 8, 9, 10], [0, 2, 4, 6, 8], [4, 6, 7]]} | {"states": [1886, 1630], "expectation_value": -2.6482152854470815, "params": [0.9854, 0.9893000000000001, 1.5021, 1.4978, 0.7538, 0.7515000000000001, 0.3659, 0.3683, 0.9557, 0.9486, 0.19140000000000001, 0.1855, 1.5765, 1.5852000000000002, 1.5803, 1.5826, 1.5779, 1.5795000000000001, 1.5821, 1.5828, 0.1915, 0.1933, 0.562... | 0.03333333333333333 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(4)) + 0.11666666666666667 * (Z(6) @ Z(0)) + 0.08333333333333334 * (Z(8) @ Z(4)) + 0.15 * (Z(8) @ Z(0)) + 0.03333333333333333 * (Z(8) @ Z(6)) + 0.13333333333333336 * (Z(9) @ Z(4)) + 0.2 * (Z(9) @ Z(0)) + 0.03333333333333333 * (Z(9) @ Z(6)) + 0.3666666... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.3000000000000007], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.283333333333334, "smallest_bitstrings": ["00110100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.9854) q[0];
ry(1.5021) q[1];
ry(0.7538) q[2];
ry(0.3659) q[3];
ry(0.9557) q[4];
ry(0.1914) q[5];
ry(1.5765) q[6];
ry(1.5803) q[7];
ry(1.5779) q[8];
ry(1.5821) q[9];
ry(0.1915) q[10];
crz(0.5622) q[10], q[0];
crz(-0.0016) q[9], q[10];
crz(-0.0026) 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[... | null | {"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": -0.35038097537192, "params": [[0.052000000000000005, 0.0106, -0.06470000000000001], [-0.0539, -0.0471, 0.035500000000000004]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.020619374558683824, 0.021022238174408226], "optimization_time":... | -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 | 3 | {"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(-0.026) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.078) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.052) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(-0.026) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.104)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
1edfe126d3cf465290b6c98710f2e60a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [510, 255], "expectation_value": -1.4930560709053584, "params": [[0.0649], [-0.06280000000000001]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0031233226472883544, 0.0031894406154057294], "optimization_time": 3.521569013595581} | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["100000000"]} | 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[2], q[0];
rz(-0.0973) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.1623) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0973) q[5];
cx q[0], q[5];
cx q[0], q[8];
rz(0.2271) q[8];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
6de3ca972134e3b2df718cabf76739a9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [445, 695], "expectation_value": -0.05245923323688565, "params": [[-0.0477, 0.0688], [0.0728, -0.0446]], "bitstrings": ["1001000010", "0101001000"], "total_optimization_steps": 10, "probabilities": [0.001119214809636405, 0.001119214809636405], "optimization_time": 18.380945444107056} | 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(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.0238) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0238) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0238) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
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": []} |
d30c0386d8d3b385abfc19e03f7b5ca3 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -4.496464044051204, "params": null, "bitstrings": ["110001", "110010"], "total_optimization_steps": 25, "probabilities": [0.06634810230018152, 0.9303665171788271], "optimization_time": 17.21029782295227} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0342) q[5], q[4];
ry(0.7003) q[5];
ry(-0.4549) q[4];
cry(0.4963) q[3], q[5];
cry(-0.3789) q[3], q[4];
cry(0.2489) q[2], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
3158514289806292365 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [1, 5], [0, 3, 5], [0, 2, 3, 4], [1, 2, 3, 4], [2, 3, 5], [0, 1, 3, 4]]} | {"states": [21, 43], "expectation_value": -0.17978077319399638, "params": [[[1.6996, 0.003], [1.6912, 0.0027], [1.6994, 0.0081], [1.6983000000000001, 0.0039000000000000003], [1.4786000000000001, 0.0034000000000000002], [1.7032, 0.0037]]], "bitstrings": ["101010", "010100"], "total_optimization_steps": 170, "probabiliti... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16... | 2 | 6 | 1 | {"smallest_eigenvalues": [-2.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.916666666666667, "smallest_bitstrings": ["010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6996) q[0];
rz(0.003) q[0];
rx(1.6912) q[1];
rz(0.0027) q[1];
rx(1.6994) q[2];
rz(0.0081) q[2];
rx(1.6983) q[3];
rz(0.0039) q[3];
rx(1.4786) q[4];
rz(0.0034) q[4];
rx(1.7032) q[5];
rz(0.0037) q[5];
cx q[5], q[4];
cx q[4], q[3];
cx q[3], q[2];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
61e3b2a5d555a14d43f55fdcbfde92db | 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}], "edges": [{"... | {"states": [438, 310], "expectation_value": -12.668167391569016, "params": [[[0.8074, -0.0035], [0.7837000000000001, 0.0013000000000000002], [0.006200000000000001, -0.38220000000000004], [0.8048000000000001, -0.0019], [0.7959, 0.003], [0.5202, -0.1369], [0.806, -0.0022], [0.8083, 0.0024000000000000002], [0.385200000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + 0.0 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-55.0, -55.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -54.0, "smallest_bitstrings": ["011010011", "011001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8074) q[0];
rz(-0.0035) q[0];
rx(0.7837) q[1];
rz(0.0013) q[1];
rx(0.0062) q[2];
rz(-0.3822) q[2];
rx(0.8048) q[3];
rz(-0.0019) q[3];
rx(0.7959) q[4];
rz(0.003) q[4];
rx(0.5202) q[5];
rz(-0.1369) q[5];
rx(0.806) q[6];
rz(-0.0022) q[6];
rx(0.8083) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
8593b8834e52e999edf6925bd3316e57 | 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": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 1022], "expectation_value": -0.9672648502393206, "params": [[-0.07300000000000001], [0.0728]], "bitstrings": ["0000000000", "0000000001"], "total_optimization_steps": 10, "probabilities": [0.0015148439596659054, 0.001547242017487711], "optimization_time": 1.7441158294677734} | -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)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.146) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.219) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.219) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.073) q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 10} | {"circuits": [], "gradients": []} |
644d583adb8c3ec4ec20cc2513da1b3c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"s... | {"states": [8191, 8063], "expectation_value": -37.44800121310564, "params": [[[-0.0025, 3.1444], [0.0021000000000000003, -0.002], [-0.0033, -0.0026000000000000003], [-0.0035, -0.0031000000000000003], [-0.0024000000000000002, -0.0029000000000000002], [1.6082, 0.0029000000000000002], [-0.0026000000000000003, -0.002900000... | 1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(0) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + -3.5 * (Z(9) @ Z(12)) + 2.0 * (Z(1) @ Z(12)) + -4.0 * (Z(1) @ Z(9)) + 1.0 * (Z(3) @ Z(12)) + -2.5 * (Z(3) @ Z(9)) + 1.0 * (Z(3) @ Z(1)) + -3... | 15 | 13 | 1 | {"smallest_eigenvalues": [-38.0, -38.0, -38.0, -38.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -37.0, "smallest_bitstrings": ["1000011110000", "0000011100000", "0000000100000", "0000010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0025) q[0];
ry(0.0021) q[1];
ry(-0.0033) q[2];
ry(-0.0035) q[3];
ry(-0.0024) q[4];
ry(1.6082) q[5];
ry(-0.0026) q[6];
ry(0.5133) q[7];
ry(-0.0018) q[8];
ry(-0.0019) q[9];
ry(-0.0025) q[10];
ry(-0.0023) q[11];
ry(-0.0027) q[12];
cx q[12], q[0];
cx q[11]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
0b901fd9e5de39b7cf892c31f0cbb087 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [169, 681], "expectation_value": -6.124467483360704, "params": [[0.7625000000000001, 0.1532, 1.4034, 0.0015, 1.3983, -0.004, 1.4079000000000002, 0.0026000000000000003, 0.0009000000000000001, 0.9556], [1.4004, 0.5928, 1.4022000000000001, 0.004, 1.042, -0.0029000000000000002, 1.4043, -0.0029000000000000002, 0.... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(3)) + -1.5 * Z(7) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["0101010110", "0011110100", "0001110110", "0011101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7625) q[0];
ry(0.1532) q[1];
ry(1.4034) q[2];
ry(0.0015) q[3];
ry(1.3983) q[4];
ry(-0.004) q[5];
ry(1.4079) q[6];
ry(0.0026) q[7];
ry(0.0009) q[8];
ry(0.9556) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
-4605592367896543099 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [0, 6], [2, 4], [1, 3]]} | {"states": [100, 114], "expectation_value": -0.044741552401579184, "params": [[0.0746], [-0.0763]], "bitstrings": ["0011011", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008532363433914735, 0.008532363433914735], "optimization_time": 0.4455726146697998} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0001101", "1100100", "1110010", "0011011", "0110011", "1001100", "0100101", "1011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(0.0746) q[4];
cx q[5], q[4];
cx q[6], q[0];
rz(0.0746) q[0];
cx q[6], q[0];
cx q[4], q[2];
rz(0.0746) q[2];
cx q[4], q[2];
cx q[3], q[1];
rz(0.0746) q[1];
cx q[3], q[1];
rz(0) q[5];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[1];
... | null | {"circuits": [], "gradients": []} |
6db46fc059c6f81124803e34100362dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [1962, 1978], "expectation_value": -1.7666725044011806, "params": [[0.1872, 1.5906, -0.049, 0.5521, 1.2002000000000002, 0.0015, 1.5812000000000002, 0.1983, 1.5916000000000001, 0.32980000000000004, 1.5886, 0.4168], [1.1800000000000002, 1.5385, 1.6046, 1.601, 1.6062, 0.17420000000000002, 1.5864, 1.5962, 1.5591... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 10 | 12 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -2.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.1872) q[0];
ry(1.5906) q[1];
ry(-0.049) q[2];
ry(0.5521) q[3];
ry(1.2002) q[4];
ry(0.0015) q[5];
ry(1.5812) q[6];
ry(0.1983) q[7];
ry(1.5916) q[8];
ry(0.3298) q[9];
ry(1.5886) q[10];
ry(0.4168) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6343341889656689631 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [3, 5, 7], [2, 3, 6], [8, 1], [2, 5, 6], [4, 6, 7], [2, 4, 7], [0, 4], [1, 4, 6], [8, 2, 3], [1, 5, 7], [0, 8], [0, 7]]} | {"states": [222, 95], "expectation_value": -4.152791040771208, "params": null, "bitstrings": ["100100001", "110100000"], "total_optimization_steps": 49, "probabilities": [0.0012746888120497015, 0.9940112462598983], "optimization_time": 98.0728600025177} | 0.5 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.16666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666667, "smallest_bitstrings": ["110100000"]} | 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(1.5298) q[6];
ry(1.445) q[7];
cry(-1.4433) q[7], q[0];
ry(1.5284) q[2];
cry(1.4401) q[7], q[8];
cry(-1.4417) q[8], q[1];
cry(-1.2231) q[8], q[3];
ry(1.2187) q[4];
cry(-0.1285) q[2], q[0... | 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(1.5298) 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] = m... |
5668cc0f2ff388f621c56d0e233584d7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -28.934772745625484, "params": [0.0012000000000000001, -0.0056, -0.0027, 0.0064, -0.0014, 0.0019, 0.20320000000000002, 0.20400000000000001, -0.003, 0.0025, 0.0049, 0.003, -0.0001, 0.0013000000000000002, 0.0039000000000000003, -0.0002, -0.0007, 0.0029000000000000002, 0.0047, 0.0... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(9)) + 4.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -0.25 * (Z(7... | 14 | 12 | 4 | {"smallest_eigenvalues": [-36.0, -36.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["111011111111", "111011111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0012) q[0];
ry(-0.0027) q[1];
ry(-0.0014) q[2];
ry(0.2032) q[3];
ry(-0.003) q[4];
ry(0.0049) q[5];
ry(-0.0001) q[6];
ry(0.0039) q[7];
ry(-0.0007) q[8];
ry(0.0047) q[9];
ry(0.16) q[10];
ry(-0.0026) q[11];
crx(0.1324) q[11], q[0];
crx(-0.004) q[10], q[11]... | 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": 11} | {"circuits": [], "gradients": []} |
8ba3b716627498c896f8e55ab6717a32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [502, 153], "expectation_value": -6.836407424588132, "params": [[0.0623, -0.15510000000000002], [-0.11280000000000001, 0.15280000000000002]], "bitstrings": ["000001001", "101100110"], "total_optimization_steps": 20, "probabilities": [0.009391709049409079, 0.009478269486030012], "optimization_time": 5.3941199... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + 4.0 * (Z(8) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["101100110"]} | 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(-0.0312) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0935) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1246) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1557) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
944d1e10c1efdd3cf89f3eb5fd93918c | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [3, 27], "expectation_value": -0.14650106279280356, "params": [[0.0631], [-0.0506]], "bitstrings": ["11100", "00100"], "total_optimization_steps": 10, "probabilities": [0.03387409723806623, 0.03428281231841307], "optimization_time": 1.117746114730835} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100", "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(-0.1893) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0631) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.1262) q[3];
cx q[4], q[3];
rz(-0.1893) q[1];
rz(0.1262) q[0];
rz(-0.1262) q[2];
rz(0.0631) q[4];
rz(0.06... | 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[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(x2) q[3];
cx q[4... | {"node": 2} | {"circuits": [], "gradients": []} |
77dce16e2c6e790ed7c91ee5956c7b72 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "s... | {"states": [1, 3], "expectation_value": -20.111442211029217, "params": null, "bitstrings": ["111111110", "111111100"], "total_optimization_steps": 50, "probabilities": [0.23044595738281465, 0.40495562289082443], "optimization_time": 73.88566660881042} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * (Z(6) @ Z(4)) + 3.75 * (Z(8) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-24.75, -24.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.75, "smallest_bitstrings": ["111111110", "111111100"]} | 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(-1.57) q[3];
cry(-1.5708) q[8], q[0];
ry(0.1424) q[8];
cry(1.0885) q[4], q[8];
ry(-1.5708) q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
ry(-1.4379) q[4];
ry(-0.8883) q[6];
ry(0.6846) q[0];... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) 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] = me... |
175dd49c484ef3d5fa3bd6c9677b2e54 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [374, 214], "expectation_value": -0.8488817182848514, "params": [[-0.0129], [0.0088]], "bitstrings": ["010001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.002026906511080781, 0.002045258702154327], "optimization_time": 2.0786306858062744} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"]} | 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[2], q[0];
rz(-0.1161) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.1161) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.1161) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.1161) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
2106018384834704977 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [8, 2, 5], [8, 1], [1, 4, 5], [2, 7], [0, 8, 2], [5, 7], [8, 0, 3], [5, 6], [1, 4, 7], [3, 4, 5], [8, 4], [2, 3], [3, 6], [8, 6, 7], [0, 1]]} | {"states": [170, 171], "expectation_value": -3.5298428176134555, "params": [[[-0.0023, 0.009600000000000001, 0.0011, 0.0063], [1.0164, 0.0021000000000000003, 1.0669, 0.0013000000000000002], [-0.0021000000000000003, 0.0, 0.002, 0.009600000000000001], [1.0414, 0.0027, 1.0544, 0.0095], [-0.0166, 0.0033, 0.0079, 0.0011], [... | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.16666... | 12 | 9 | 1 | {"smallest_eigenvalues": [-4.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333353, "smallest_bitstrings": ["101010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0023) q[0];
rz(0.0096) q[0];
ry(1.0164) q[1];
rz(0.0021) q[1];
ry(-0.0021) q[2];
rz(0) q[2];
ry(1.0414) q[3];
rz(0.0027) q[3];
ry(-0.0166) q[4];
rz(0.0033) q[4];
ry(1.0075) q[5];
rz(0.0026) q[5];
ry(-0.0029) q[6];
rz(0.0028) q[6];
ry(1.0503) 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": []} |
589a81c8fd04d28f25b3e8e25563f55c | 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}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [0, 127], "expectation_value": -4.68941394542084, "params": [[[-0.1165, 0.1817], [-0.005200000000000001, 0.9662000000000001], [-0.0027, 0.0022], [-0.0022, -0.0026000000000000003], [-0.0026000000000000003, -0.0032], [0.0013000000000000002, 0.002], [-1.1016000000000001, 0.1353], [-0.7753, 0.2003]], [[-0.0148, ... | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 15 | 8 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.1165) q[0];
ry(-0.0052) q[1];
ry(-0.0027) q[2];
ry(-0.0022) q[3];
ry(-0.0026) q[4];
ry(0.0013) q[5];
ry(-1.1016) q[6];
ry(-0.7753) 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... | OPENQASM 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": []} |
6c28370939b7d49c2e67d552301e0191 | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [333, 236], "expectation_value": -18.599915183220425, "params": [[0.011300000000000001, -0.0012000000000000001, 0.0196, 0.0027], [-0.0359, -0.027100000000000003, -0.060000000000000005, -0.0443]], "bitstrings": ["010110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.005465487908683221,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"]} | 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(0.1017) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.1017) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.1017) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(0.1017) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
9720f25e266b706fd55bd4bfdba0ffde | 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": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 3], "expectation_value": -11.385174638717904, "params": [-0.0031000000000000003, 0.006900000000000001, 0.0024000000000000002, 0.009000000000000001, 0.0027, 0.005200000000000001, 0.0022, 0.0064, 0.0025, 0.006500000000000001, 0.0024000000000000002, 0.0011, 0.0025, 0.0064, 0.0022, 0.8170000000000001, 1.3780... | -0.75 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + 2.25 * (Z(9)... | 4 | 10 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0031) q[0];
rz(0.0069) q[0];
rx(0.0024) q[1];
rz(0.009) q[1];
rx(0.0027) q[2];
rz(0.0052) q[2];
rx(0.0022) q[3];
rz(0.0064) q[3];
rx(0.0025) q[4];
rz(0.0065) q[4];
rx(0.0024) q[5];
rz(0.0011) q[5];
rx(0.0025) q[6];
rz(0.0064) q[6];
rx(0.0022) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-6428030842702770862 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4, 7, 8], [0, 1, 3, 7], [1, 2, 5, 9], [1, 5, 6, 7, 8, 9]]} | {"states": [1016, 1018], "expectation_value": -0.15373200996960518, "params": [0.7984, 0.004200000000000001, 0.7924, 0.0027, 0.7996000000000001, -0.0038, 0.799, 0.0039000000000000003, 0.8058000000000001, 0.0036000000000000003, 0.8023, 0.0037, 0.8083, 0.0041, 0.8043, 0.0047, 0.8065, -0.0048000000000000004, 0.802, 0.0072... | 0.13333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(8) @ Z(2)) + 0.08333333333333334 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(4)) + 0.08333333333333334 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(0) @ ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-0.9000000000000002, -0.9000000000000002, -0.9000000000000002, -0.9000000000000002], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.9, "smallest_bitstrings": ["0000010100", "0000100101", "0000110100", "0000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7984) q[0];
rz(0.0042) q[0];
rx(0.7996) q[1];
rz(-0.0038) q[1];
rx(0.8058) q[2];
rz(0.0036) q[2];
rx(0.8083) q[3];
rz(0.0041) q[3];
rx(0.8065) q[4];
rz(-0.0048) q[4];
rx(0.8032) q[5];
rz(-0.0047) q[5];
rx(0.8029) q[6];
rz(-0.0023) q[6];
rx(0.7956) 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": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [13, 82], "expectation_value": -0.23502233192651945, "params": [[0.0402, 0.07690000000000001], [-0.011000000000000001, -0.0603]], "bitstrings": ["1110010", "0101101"], "total_optimization_steps": 10, "probabilities": [0.009364259757733879, 0.009394874108165873], "optimization_time": 2.702169895172119} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0402) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.0402) q[5];
cx q[4], q[5];
cx q[5], q[1];
rz(0.0402) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(0.0402) q[6];
cx q[5], q[6];
cx q[1], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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": []} |
1cab3dd4a3dd8efe8c892d43e4c1bff7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [2359, 2871], "expectation_value": -4.341320854272269, "params": [[[3.1513, 0.0089, 0.0097, 0.0012000000000000001], [1.5736, -0.0022, 0.7825000000000001, 0.0019], [-1.6287, 0.0094, 0.0032, 0.008400000000000001], [0.0023, 1.6612, 1.5732000000000002, 0.0058000000000000005], [-0.0022, 0.006200000000000001, 0.00... | 0.5 * (Z(0) @ Z(1)) + 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)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(0) @ Z(6) @ Z(5)) + -0.125 * (Z(0) @ Z(5) ... | 12 | 12 | 1 | {"smallest_eigenvalues": [-4.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8125, "smallest_bitstrings": ["010011001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(3.1513) q[0];
rz(0.0089) q[0];
ry(1.5736) q[1];
rz(-0.0022) q[1];
ry(-1.6287) q[2];
rz(0.0094) q[2];
ry(0.0023) q[3];
rz(1.6612) q[3];
ry(-0.0022) q[4];
rz(0.0062) q[4];
ry(-0.0028) q[5];
rz(1.6607) q[5];
ry(3.1441) q[6];
rz(0.0014) q[6];
ry(0.0039) 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": []} |
-7751412552786578800 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 3], [2, 4], [0, 1, 5], [0, 2], [1, 3, 4]]} | {"states": [50, 39], "expectation_value": -0.02898489591107634, "params": [[-0.0591], [0.0596]], "bitstrings": ["001101", "011000"], "total_optimization_steps": 10, "probabilities": [0.016323366409031703, 0.016323891940877414], "optimization_time": 0.8269057273864746} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.166666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["100110", "011000", "100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(-0.0197) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0197) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0394) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.0591) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q[3];
cx ... | null | {"circuits": [], "gradients": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [10, 3], "expectation_value": -8.988863448164526, "params": [[0.0548, 0.0361, 0.0236], [-0.0816, -0.0799, -0.07010000000000001]], "bitstrings": ["110101", "111100"], "total_optimization_steps": 10, "probabilities": [0.04292918308599647, 0.044003659843625004], "optimization_time": 6.303322792053223} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 11 | 6 | 3 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.2466) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2466) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2466) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2466) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2466... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
0c36283121e8c25f75256b89b8ad4f89 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -19.163933036563567, "params": [0.2959, 0.0409, 0.3209, -0.010400000000000001, 0.2882, 0.0618, 0.3211, -0.012, -0.0027, 0.5901000000000001, -0.0004, 0.6757000000000001, -0.0303, 0.42700000000000005, -0.0005, 0.6518, -0.0221, 0.44570000000000004, -0.0016, 0.6184000000000001, 0.0... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 6 | 9 | 3 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2959) q[0];
rz(0.0409) q[0];
rx(0.2882) q[1];
rz(0.0618) q[1];
rx(-0.0027) q[2];
rz(0.5901) q[2];
rx(-0.0303) q[3];
rz(0.427) q[3];
rx(-0.0221) q[4];
rz(0.4457) q[4];
rx(0.0219) q[5];
rz(0.4279) q[5];
rx(0.1026) q[6];
rz(0.4807) q[6];
rx(0.0699) 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... | {"node": 6} | {"circuits": [], "gradients": []} |
879db80c5aed6ed1e5333d23205b0505 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [511, 447], "expectation_value": -33.9489760802071, "params": [[[-0.0018000000000000002, -0.0024000000000000002], [-0.0032, 0.0018000000000000002], [-0.8553000000000001, 2.487], [-0.0023, 0.6573], [1.6319000000000001, 0.0031000000000000003], [-0.0027, -0.003], [-0.0028, -0.0029000000000000002], [-0.002900000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(7)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(5)) + 1.5 * (Z(3) @ Z(8)) + -3.0 * (Z(6) @ Z(7)) + 1.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(9) @ Z(7)) + 0.5... | 15 | 11 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["11001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0018) q[0];
ry(-0.0032) q[1];
ry(-0.8553) q[2];
ry(-0.0023) q[3];
ry(1.6319) q[4];
ry(-0.0027) q[5];
ry(-0.0028) q[6];
ry(-0.0029) q[7];
ry(-0.0026) q[8];
ry(1.8706) q[9];
ry(-0.0023) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} |
b22b2cbefa46f873776f50aa85d8501a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 4}, {"weight": 18, "sourc... | {"states": [246, 230], "expectation_value": -13.698342663827194, "params": [[-0.0361], [0.0738]], "bitstrings": ["100001001", "100011001"], "total_optimization_steps": 10, "probabilities": [0.0042275943340011266, 0.004737381879649895], "optimization_time": 1.990814447402954} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.0, "smallest_bitstrings": ["100011001"]} | 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(-0.361) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.361) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.361) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.361) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
5010651253189077982 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 4, 6, 9], [8, 9, 6], [3, 5, 7], [0, 1, 2, 8, 9], [1, 3, 5]]} | {"states": [717, 461], "expectation_value": -1.2282118040203094, "params": [[[3.1447000000000003, 0.0024000000000000002], [1.4768000000000001, 0.0098], [0.0037, 0.007500000000000001], [3.1447000000000003, 0.0051], [-0.0018000000000000002, 0.006500000000000001], [2.5331, 0.0004], [0.002, 0.0064], [3.1437, 0.0027], [3.14... | 0.05 * (Z(0) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(9) @ Z(3)) + 0.1 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(4)) + 0.21666666666666667 * (Z(9) @ Z(6)) + 0.05 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.2166666666666... | 2 | 10 | 1 | {"smallest_eigenvalues": [-1.4000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4000000000000001, "smallest_bitstrings": ["1000110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.1447) q[0];
rz(0.0024) q[0];
rx(1.4768) q[1];
rz(0.0098) q[1];
rx(0.0037) q[2];
rz(0.0075) q[2];
rx(3.1447) q[3];
rz(0.0051) q[3];
rx(-0.0018) q[4];
rz(0.0065) q[4];
rx(2.5331) q[5];
rz(0.0004) q[5];
rx(0.002) q[6];
rz(0.0064) q[6];
rx(3.1437) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
dcc91cdbd34687cb4cde0159b3b69295 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.79998986247282, "params": [[0.06470000000000001], [-0.051000000000000004]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.019308705988021625, 0.02132543176345574], "optimization_time": 2.071739912033081} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + -3.75 * Z(4) + 2.25 * Z(5) + 0.75 * Z(1) + 2.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.1941) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.1294) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.0647) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.3559) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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];... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
42fc1cab65130010b16c5206f9faaa99 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [67, 7], "expectation_value": -12.323966147248122, "params": [[0.0485, 0.0316, -0.0002, -0.0224], [-0.0757, -0.0673, -0.0396, -0.019200000000000002]], "bitstrings": ["10111100", "11111000"], "total_optimization_steps": 10, "probabilities": [0.011771649091688667, 0.012751067321261734], "optimization_time": 16... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2667) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2667) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2667) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2667) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
09fb76abbd16e0a247c5e051a4b2c213 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [123, 507], "expectation_value": -12.43915622422196, "params": null, "bitstrings": ["110000100", "000000100"], "total_optimization_steps": 100, "probabilities": [0.13521113764610387, 0.4072120178317482], "optimization_time": 138.92742824554443} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000100"]} | 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(1.5706) q[4], q[5];
cry(1.5708) q[5], q[3];
cry(1.4058) q[5], q[2];
cry(0.1974) q[3], q[4];
cry(-0.0006) q[2], q[4];
ry(-0.1913) q[4];
cry(0.1686) q[5], q[4];
cry(1.0024) q[8], q[4];
c... | null | {"node": 6} | {"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(1.5706) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
-8103573777467907719 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2], [1, 3, 4], [0, 6, 7], [1, 3, 6], [2, 5]]} | {"states": [215, 119], "expectation_value": -0.41566102499144136, "params": [[0.26980000000000004], [-0.25670000000000004]], "bitstrings": ["100101000", "110001000"], "total_optimization_steps": 30, "probabilities": [0.003789204872268338, 0.0037892048722683396], "optimization_time": 2.8062028884887695} | 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.166666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["001010100", "100101000", "110001000", "011000010", "001100010"]} | 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[0], q[8];
rz(0.0899) q[8];
cx q[0], q[8];
cx q[0], q[2];
rz(0.0899) q[2];
cx q[0], q[2];
cx q[8], q[2];
rz(0.0899) q[2];
cx q[8], q[2];
cx q[3], q[1];
rz(0.1799) q[1];
cx q[3], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[8];
rz(x0) q[8];
cx q[0], q[8];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx... | null | {"circuits": [], "gradients": []} |
-3897479232097662972 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 6], [0, 1, 2, 4], [1, 2, 5, 6], [1, 3, 4], [0, 4, 5, 6], [2, 3, 4, 5, 6]]} | {"states": [123, 122], "expectation_value": -1.0367697232321897, "params": [1.2454, 0.0017000000000000001, 1.239, 0.0012000000000000001, 1.3828, 0.0181, 1.3840000000000001, 0.28900000000000003, 1.2196, -0.0161, 1.2165000000000001, 0.0024000000000000002, 1.3946, 0.1217, 1.3933, 0.5541, 0.5751000000000001, -0.4666, 0.580... | 0.13333333333333333 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(3)) + 0.18333333333333335 * (Z(... | 8 | 7 | 1 | {"smallest_eigenvalues": [-1.4000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4000000000000001, "smallest_bitstrings": ["0000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.2454) q[0];
rz(0.0017) q[0];
rx(1.3828) q[1];
rz(0.0181) q[1];
rx(1.2196) q[2];
rz(-0.0161) q[2];
rx(1.3946) q[3];
rz(0.1217) q[3];
rx(0.5751) q[4];
rz(-0.4666) q[4];
rx(1.3945) q[5];
rz(-0.1493) q[5];
rx(0.7657) q[6];
rz(-0.27) q[6];
crx(0.0943) q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
504aff5065c6904e02914f6b44da8a9c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [1, 3], "expectation_value": -7.518418217579968, "params": [[[0.0007, 0.47040000000000004], [-0.0014, 0.6823], [-0.004200000000000001, 0.6755], [-0.0046, 0.6101], [0.4032, -0.0167], [0.7788, -0.0007]], [[0.0044, 0.5514], [-0.003, 0.6729], [-0.0022, 0.6798000000000001], [0.0011, 0.678], [0.39930000000000004, ... | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0007) q[0];
rz(0.4704) q[0];
rx(-0.0014) q[1];
rz(0.6823) q[1];
rx(-0.0042) q[2];
rz(0.6755) q[2];
rx(-0.0046) q[3];
rz(0.6101) q[3];
rx(0.4032) q[4];
rz(-0.0167) q[4];
rx(0.7788) q[5];
rz(-0.0007) q[5];
rx(0.0044) q[0];
rz(0.5514) q[0];
rx(-0.003) 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": 5} | {"circuits": [], "gradients": []} |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [174, 686], "expectation_value": -0.9559080846388139, "params": [[[0.45180000000000003, -0.0461, 0.0079, 0.0001], [0.3242, 0.0028, 0.3677, -0.2278], [0.2058, 0.3743, 0.022000000000000002, 0.2723], [-0.1456, 0.2104, 0.4398, 0.0869], [-0.0059, -0.3158, -0.009000000000000001, -0.1842], [0.08030000000000001, 0.3... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(4) @ Z(9)) + 0.12... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0011010010", "0101100100", "0101100001", "0101110000", "1100100100", "0111100000", "0101011000... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4518) q[0];
rz(-0.0461) q[0];
ry(0.3242) q[1];
rz(0.0028) q[1];
ry(0.2058) q[2];
rz(0.3743) q[2];
ry(-0.1456) q[3];
rz(0.2104) q[3];
ry(-0.0059) q[4];
rz(-0.3158) q[4];
ry(0.0803) q[5];
rz(0.3424) q[5];
ry(0.2869) q[6];
rz(0.1935) q[6];
ry(0.0764) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
d67dce3f5139cf39967f12d8ad7a1f95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [234, 226], "expectation_value": -3.719095888479221, "params": [0.2681, 0.0051, 0.2664, 0.005200000000000001, 0.3009, -0.0001, 0.2994, -0.0008, 0.3013, 0.0009000000000000001, 0.2987, 0.0014, -0.0112, 0.1766, -0.0154, 0.17370000000000002, 0.1421, 0.0737, 0.1458, 0.1096, -0.0117, 0.1728, -0.0051, 0.1699, 0.302... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(7) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6) | 7 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10010101", "00011101", "00101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2681) q[0];
rz(0.0051) q[0];
rx(0.3009) q[1];
rz(-0.0001) q[1];
rx(0.3013) q[2];
rz(0.0009) q[2];
rx(-0.0112) q[3];
rz(0.1766) q[3];
rx(0.1421) q[4];
rz(0.0737) q[4];
rx(-0.0117) q[5];
rz(0.1728) q[5];
rx(0.3025) q[6];
rz(0.0073) q[6];
rx(-0.0113) 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": []} |
ed501d4a76767c2e5786bed6521844e8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 1008], "expectation_value": -0.7366302230623364, "params": [[0.0318], [-0.0322]], "bitstrings": ["0000000000", "0000001111"], "total_optimization_steps": 10, "probabilities": [0.0012188877211067033, 0.0012257894528368697], "optimization_time": 3.315721273422241} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -2.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.159) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1908) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.159) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1908) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(... | {"node": 10} | {"circuits": [], "gradients": []} |
e33d6f1fc62bdc37a895a648cbf909d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -17.570057767783386, "params": [-0.3724, 0.19390000000000002, -0.38480000000000003, 0.4229, -0.3819, 0.1799, -0.3784, 0.48560000000000003, -0.37920000000000004, 0.4436, -0.35100000000000003, 0.9637, -0.2806, 0.37820000000000004, -0.33340000000000003, 0.7070000000000001, -0.0065... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + 1.5 * Z(4) | 6 | 7 | 3 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.3724) q[0];
rz(0.1939) q[0];
rx(-0.3819) q[1];
rz(0.1799) q[1];
rx(-0.3792) q[2];
rz(0.4436) q[2];
rx(-0.2806) q[3];
rz(0.3782) q[3];
rx(-0.0065) q[4];
rz(0.683) q[4];
rx(0.0036) q[5];
rz(0.677) q[5];
rx(-0.0028) q[6];
rz(0.7626) q[6];
crx(-0.0012) q[6],... | 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] 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 fl... | {"node": 7} | {"circuits": [], "gradients": []} |
8fcf50f85ec3dd02c0199581a34889e9 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [972, 1020], "expectation_value": -9.983375052811484, "params": null, "bitstrings": ["0000110011", "0000000011"], "total_optimization_steps": 100, "probabilities": [0.15579329592640204, 0.4672958997602895], "optimization_time": 205.618102312088} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(6) + -1.5 * Z(9)... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000001111", "0000000011", "0000001100"]} | 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(-1.5708) q[9];
cry(1.5706) q[0], q[2];
ry(1.056) q[0];
cry(1.5707) q[0], q[1];
cry(1.5706) q[6], q[7];
cry(1.5701) q[2], q[3];
ry(0.3717) q[2];
cry(1.5486) q[5], q[4];
cry(1.2... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\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] = measure q[5... |
aacaa96485aecd447212f3a2ddad723b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [161, 129], "expectation_value": -2.238761404996575, "params": [[-0.0536, -0.056900000000000006], [0.064, 0.0689]], "bitstrings": ["101011110", "101111110"], "total_optimization_steps": 10, "probabilities": [0.004309194066801945, 0.004492848735412503], "optimization_time": 2.9048242568969727} | -0.25 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + 2.0 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + 3.5 * Z(6) + -0.25 * Z(0) + -2.25 * Z(7) + 1.5 * Z(8) + 0.5 * Z(1) + -2.5 * Z(2) + -0.7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["101111110", "101011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(0.0268) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(0.1608) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.1608) q[7];
cx q[0], q[7];
cx q[0], q[8];
rz(-0.2144) q[8];
cx q[0], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [65147, 56955], "expectation_value": -17.8338469691894, "params": [0.7564000000000001, 0.7574000000000001, 0.8746, 0.7419, 0.8702000000000001, 0.6656000000000001, 0.5034000000000001, 0.5052, 0.7369, 0.7624000000000001, 0.6671, 0.6164000000000001, 0.8577, 0.5765, 0.1706, 0.17020000000000002, 0.1651, 0.1653, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 14 | 16 | 2 | {"smallest_eigenvalues": [-19.999999999999897], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["0010000110000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.7564) q[0];
ry(0.8746) q[1];
ry(0.8702) q[2];
ry(0.5034) q[3];
ry(0.7369) q[4];
ry(0.6671) q[5];
ry(0.8577) q[6];
ry(0.1706) q[7];
ry(0.1651) q[8];
ry(0.843) q[9];
ry(0.7424) q[10];
ry(0.7991) q[11];
ry(0.6263) q[12];
ry(0.1779) q[13];
ry(0.8399) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
a73867065d086a9866d0f80c9446dd3e | 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": [1889, 1633], "expectation_value": -75.21566295191461, "params": [2.2106, 0.0041, 2.1991, 0.0034000000000000002, 1.5518, 0.0026000000000000003, 0.9966, 0.0024000000000000002, 2.2082, 0.0059, 2.1991, 0.0076, -0.0031000000000000003, 0.009600000000000001, 0.0031000000000000003, 0.0071, 0.003, 0.0004, 0.99140000... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(10) @ Z(9)) + 17.5 * Z(1) + 14.0 * Z(0) + 4.5 * Z(2) + 15.0 * Z(4) + 0.5 * Z(3) + 13.5 * Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-132.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.5, "smallest_bitstrings": ["00110011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.2106) q[0];
rz(0.0041) q[0];
rx(2.1991) q[1];
rz(0.0034) q[1];
rx(1.5518) q[2];
rz(0.0026) q[2];
rx(0.9966) q[3];
rz(0.0024) q[3];
rx(2.2082) q[4];
rz(0.0059) q[4];
rx(2.1991) q[5];
rz(0.0076) q[5];
rx(-0.0031) q[6];
rz(0.0096) q[6];
rx(0.0031) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
-4448313108001385495 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 2, 3, 4, 5], [2, 5, 7], [1, 5, 7], [3, 6, 7], [0, 1, 2], [1, 4], [0, 2, 3, 4, 7]]} | {"states": [241, 113], "expectation_value": -2.026809452821996, "params": [1.0371000000000001, 0.2571, 1.0462, 0.0076, 1.4029, -0.08660000000000001, 1.3939000000000001, 0.0013000000000000002, 1.403, 0.022000000000000002, 1.3938000000000001, 0.0055000000000000005, 1.3973, -0.033, 1.3928, 0.009600000000000001, 0.4143, 0.... | 0.5 * (Z(2) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.166... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4000000000000004, "smallest_bitstrings": ["10001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0371) q[0];
rz(0.2571) q[0];
rx(1.4029) q[1];
rz(-0.0866) q[1];
rx(1.403) q[2];
rz(0.022) q[2];
rx(1.3973) q[3];
rz(-0.033) q[3];
rx(0.4143) q[4];
rz(0.5424) q[4];
rx(0.9728) q[5];
rz(-0.4229) q[5];
rx(0.3904) q[6];
rz(-0.4842) q[6];
rx(1.3997) 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": []} |
b92c16178f977d94a04901a5809941e1 | 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": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -21.714781303573435, "params": [-0.0005, 0.14700000000000002, -0.0026000000000000003, 0.1206, 0.0016, 0.1496, 0.0051, 0.1665, 0.19890000000000002, -0.0001, 0.2021, 0.0048000000000000004, 0.0033, 0.16, 0.0023, 0.1713, 0.0016, 0.14600000000000002, 0.0011, 0.1507, 0.0038, 0.1552, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + 4.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(10)) + -2.25 * (Z(7) @... | 7 | 11 | 4 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0005) q[0];
rz(0.147) q[0];
rx(0.0016) q[1];
rz(0.1496) q[1];
rx(0.1989) q[2];
rz(-0.0001) q[2];
rx(0.0033) q[3];
rz(0.16) q[3];
rx(0.0016) q[4];
rz(0.146) q[4];
rx(0.0038) q[5];
rz(0.1552) q[5];
rx(0.0021) q[6];
rz(0.1634) q[6];
rx(0.0065) 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... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
af56ef2bee9fa35379eebfd165c008bc | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [26, 56], "expectation_value": -0.25808067940701024, "params": [[-0.0604], [0.07010000000000001]], "bitstrings": ["1100101", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008704233249086724, 0.008704233249086724], "optimization_time": 1.5212037563323975} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 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(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1000111"]} | 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(-0.0604) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0604) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0604) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0604) q[4];
cx q[0], q[4];
cx q[2], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} |
5f79bb35bd8dc69bae5409f6ad22880d | 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": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -31.567825365846616, "params": [[0.028900000000000002, 0.003, -0.0126, 0.0034000000000000002], [-0.0852, -0.0741, -0.0551, -0.0398]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.008833567611675766, 0.011203041425254273], "opti... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2601) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2601) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2601) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2601) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f907fef774f6ac859ad4ff3ba322e9a8 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [21798, 21926], "expectation_value": -0.1124050228201922, "params": [0.751, 0.15280000000000002, 0.6956, 0.0095, 0.8907, 0.1153, 0.8851, 0.0019, 0.8157000000000001, -0.1496, 0.6980000000000001, 0.0007, 0.8907, -0.14880000000000002, 0.8487, 0.0035, 0.8238000000000001, 0.1496, 0.7211000000000001, 0.0053, 0.884... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444445 * (Z(2) @ Z(0)) + -0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002314814814814815 * (Z(4) @ Z(0)) + -0.0011574074074074073 * (Z(4) @ Z(2)) + 0.0002314814814814815 * (Z(5) @ Z(1)) + -0.0011574074074074073 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0228395061727964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0228395061727773, "smallest_bitstrings": ["1010101001011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.751) q[0];
rz(0.1528) q[0];
rx(0.8907) q[1];
rz(0.1153) q[1];
rx(0.8157) q[2];
rz(-0.1496) q[2];
rx(0.8907) q[3];
rz(-0.1488) q[3];
rx(0.8238) q[4];
rz(0.1496) q[4];
rx(0.8842) q[5];
rz(0.1359) q[5];
rx(0.8768) q[6];
rz(-0.1564) q[6];
rx(0.885) 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
64af4c2b79332f45cc93f4adbc07969b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [85, 54], "expectation_value": -0.07898153816909927, "params": [[0.0584], [-0.047400000000000005]], "bitstrings": ["0101010", "1001001"], "total_optimization_steps": 10, "probabilities": [0.008379970021654025, 0.008380346816662162], "optimization_time": 1.1166722774505615} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001", "0101010", "1001010"]} | 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(0.0584) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0584) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0584) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0584) q[5];
cx q[0], q[5];
cx q[3], q[2];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3]... | null | {"circuits": [], "gradients": []} |
fcbb218df226fcf3e63ace465c64eb26 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [43605, 21930], "expectation_value": -0.2002343913578013, "params": [[0.24430000000000002], [-0.24100000000000002]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 30, "probabilities": [3.299946304205637e-05, 3.2999463042056385e-05], "optimization_time": 17.37796425819397... | 0.25 * (Z(0) @ Z(1)) + -0.0009297520661157026 * (Z(2) @ Z(0)) + -0.0009297520661157026 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0009297520661157026 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0009297520661157026 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022933884297506], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.022933884297475, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.1222) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0005) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0005) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 143], "expectation_value": -1.9921650704592762, "params": null, "bitstrings": ["00110001", "01110000"], "total_optimization_steps": 62, "probabilities": [0.09659391380377318, 0.7394272563540675], "optimization_time": 132.99996280670166} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.1871) q[6], q[3];
ry(1.1774) q[5];
cry(-0.5926) q[7], q[1];
ry(1.0634) q[4];
cry(-0.549) q[0], q[3];
cry(-0.8071) q[1], q[7];
ry(0.6521) q[6];
cry(0.8749) q[6], q[0];
ry(-0.3249) q[3];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.1871) q[6], 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] = me... |
a4887282391b847c36275b441eb6d545 | 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": 2}, {"source": ... | {"states": [20, 3], "expectation_value": -1.045747917794011, "params": [[-0.0545, -0.07690000000000001], [0.0584, 0.07350000000000001]], "bitstrings": ["101011", "111100"], "total_optimization_steps": 10, "probabilities": [0.021906757745974503, 0.021906757745974524], "optimization_time": 3.4601120948791504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"]} | 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(-0.0545) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0545) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0545) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0545) q[3];
cx q[0], q[3];
cx q[2], 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], ... | null | {"circuits": [], "gradients": []} |
1ba2ebfd309b0e7a51e89a9f5e1fc243 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capac... | {"states": [387, 131], "expectation_value": -0.08638218521016924, "params": [[-0.0381], [0.037700000000000004]], "bitstrings": ["1001111100", "1101111100"], "total_optimization_steps": 10, "probabilities": [0.001056894035033893, 0.0010597683485066688], "optimization_time": 3.1478564739227295} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["1001111100", "1001111000", "1101111100", "1101111000"]} | 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[0];
rz(0.0191) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0572) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0191) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(0.0381) q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-1106392602198058314 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[9, 11, 1], [0, 4, 8, 10, 12], [0, 7, 9, 11, 12], [9, 10], [0, 1, 2, 3, 5, 6, 8, 11, 13], [0, 1, 2, 6, 9, 12, 13], [1, 2, 4, 6, 9, 12, 13], [1, 11, 4, 5], [10, 6], [2, 6, 7], [0, 2, 3, 5, 7, 8, 10, 12, 13], [0, 3, 4, 7, 13], [0, 1, 4, 6, 11, 13], ... | {"states": [14002, 14066], "expectation_value": -4.394839576509938, "params": [2.8841, 0.003, 2.8873, 0.0027, 1.351, 0.0081, 2.1839, 0.0039000000000000003, 2.8891, 0.0034000000000000002, 1.3376000000000001, 0.0037, 2.9036, 0.0014, 1.6709, 0.0047, 2.895, 0.005200000000000001, 2.8987000000000003, 0.007200000000000001, 0.... | 0.21666666666666667 * (Z(9) @ Z(11)) + 0.2972222222222222 * (Z(1) @ Z(11)) + 0.37261904761904757 * (Z(1) @ Z(9)) + 0.09722222222222221 * (Z(0) @ Z(11)) + 0.11547619047619048 * (Z(0) @ Z(9)) + 0.1365079365079365 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(11)) + 0.08095238095238094 * (Z(4) @ Z(9)) + 0.215476190476... | 3 | 14 | 1 | {"smallest_eigenvalues": [-5.728174603174539], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.619841269841168, "smallest_bitstrings": ["00100100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(2.8841) q[0];
rz(0.003) q[0];
rx(2.8873) q[1];
rz(0.0027) q[1];
rx(1.351) q[2];
rz(0.0081) q[2];
rx(2.1839) q[3];
rz(0.0039) q[3];
rx(2.8891) q[4];
rz(0.0034) q[4];
rx(1.3376) q[5];
rz(0.0037) q[5];
rx(2.9036) q[6];
rz(0.0014) q[6];
rx(1.6709) 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": []} |
-7409011384284673023 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 2, 3, 6], [0, 1, 2, 5], [0, 2, 5, 6], [1, 2, 3, 4], [0, 3, 5]]} | {"states": [103, 59], "expectation_value": -0.8006077714108104, "params": [[0.3744], [-0.35760000000000003]], "bitstrings": ["0011000", "1000100"], "total_optimization_steps": 40, "probabilities": [0.017133032526235846, 0.0177543776542165], "optimization_time": 2.9921162128448486} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.416666666666667, "smallest_bitstrings": ["1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(0.1248) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0624) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.1872) q[5];
cx q[3], q[5];
cx q[4], q[6];
rz(0.0624) q[6];
cx q[4], q[6];
cx q[3], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
c... | null | {"circuits": [], "gradients": []} |
e25375c2d0d05abe9c971ec0baf3e172 | matching | qaoa | {"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}], "edges": [{"weight": 10, "source": 0, "... | {"states": [430, 174], "expectation_value": -20.495423294569086, "params": [[0.0349, -0.0011, 0.0166], [-0.0579, -0.035300000000000005, -0.0434]], "bitstrings": ["001010001", "101010001"], "total_optimization_steps": 10, "probabilities": [0.00692798524512587, 0.008518678585893818], "optimization_time": 11.8626527786254... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["101010001"]} | 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(0.3141) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.3141) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.3141) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.3141) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
ee9fae564075d327b60b5f0c0375771b | 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": [469, 421], "expectation_value": -86.98409355295082, "params": [[[0.0028, -1.1033, 0.009600000000000001, 0.0031000000000000003], [0.9551000000000001, 0.0369, 0.9586, 0.006], [-0.6641, 0.10250000000000001, 0.0073, 0.1062], [0.4572, -0.3719, 0.8798, 0.0044], [-0.7103, -0.6344000000000001, 0.006900000000000001,... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 12.5 * Z(1) + -3.5 * Z(0) + 3.0 * Z(3) + 9.0 * Z(2) + 10... | 12 | 10 | 4 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["1001011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0028) q[0];
rz(-1.1033) q[0];
ry(0.9551) q[1];
rz(0.0369) q[1];
ry(-0.6641) q[2];
rz(0.1025) q[2];
ry(0.4572) q[3];
rz(-0.3719) q[3];
ry(-0.7103) q[4];
rz(-0.6344) q[4];
ry(0.0042) q[5];
rz(0.3402) q[5];
ry(-0.0022) q[6];
rz(-0.2378) q[6];
ry(0.2881) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x11;
in... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-3265844937580489028 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 4], [1, 5], [0, 5], [4, 6], [0, 1], [4, 5], [1, 3]]} | {"states": [113, 51], "expectation_value": -2.5764838209444254, "params": null, "bitstrings": ["0001110", "1001100"], "total_optimization_steps": 53, "probabilities": [0.053351653923352504, 0.7672400753192726], "optimization_time": 50.263407468795776} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110011", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[4];
cry(-1.0342) q[5], q[0];
ry(1.0293) q[5];
cry(-0.8214) q[1], q[0];
cry(-0.6534) q[2], q[4];
ry(0.9979) q[6];
cry(1.1473) q[6], q[2];
ry(-0.5076) q[4];
cry(1.1491) q[2], q[1];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], 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... |
5a12fc3b9ebd59a3b68795f0bd90935e | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [155, 411], "expectation_value": -1.6550561636070371, "params": [1.6024, 0.0064, 2.5014000000000003, 0.0031000000000000003, 1.2810000000000001, 0.0007, 0.1032, 0.0038, 2.5077000000000003, 0.009300000000000001, 2.5086, 0.005, 0.3644, 0.0082, 2.5065, 0.0045000000000000005, 2.1632000000000002, 0.003600000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001100", "010100001", "100010001", "001100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6024) q[0];
rz(0.0064) q[0];
rx(2.5014) q[1];
rz(0.0031) q[1];
rx(1.281) q[2];
rz(0.0007) q[2];
rx(0.1032) q[3];
rz(0.0038) q[3];
rx(2.5077) q[4];
rz(0.0093) q[4];
rx(2.5086) q[5];
rz(0.005) q[5];
rx(0.3644) q[6];
rz(0.0082) q[6];
rx(2.5065) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3cade3d6b3b996575328de1cf27470ec | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"sourc... | {"states": [0, 32640], "expectation_value": -41.66702489469397, "params": [[[0.0026000000000000003, 0.004], [0.0027, 0.0007], [0.0027, 0.0], [0.0022, 0.007], [0.0023, 0.0085], [0.0021000000000000003, 0.007500000000000001], [-0.0018000000000000002, 0.007500000000000001], [1.6127, 0.0054], [-0.002, 0.0033], [0.002, 0.009... | -3.0 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(0)) + -2.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(1)) + -2.5 ... | 2 | 15 | 1 | {"smallest_eigenvalues": [-45.49999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.49999999999971, "smallest_bitstrings": ["000000001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0026) q[0];
rz(0.004) q[0];
rx(0.0027) q[1];
rz(0.0007) q[1];
rx(0.0027) q[2];
rz(0) q[2];
rx(0.0022) q[3];
rz(0.007) q[3];
rx(0.0023) q[4];
rz(0.0085) q[4];
rx(0.0021) q[5];
rz(0.0075) q[5];
rx(-0.0018) q[6];
rz(0.0075) q[6];
rx(1.6127) q[7];
rz(0.0054... | OPENQASM 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": 13} | {"circuits": [], "gradients": []} |
349470e51b3762ef23fcf6a851dc8e1d | 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": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -36.69970166829855, "params": [[-0.033800000000000004, -0.0049, 0.0018000000000000002, 0.0001], [0.0772, 0.0718, 0.06520000000000001, 0.048100000000000004]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.01342598708764121, 0.017... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"]} | 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(-0.3042) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3042) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3042) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3042) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
-541783646566248221 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[9, 1], [9, 5], [2, 11], [9, 12], [11, 4], [2, 4], [6, 7], [13, 6], [3, 4], [9, 2], [10, 3], [0, 5], [8, 0]]} | {"states": [7523, 7527], "expectation_value": -4.82301756940416, "params": null, "bitstrings": ["10001010011100", "10001010011000"], "total_optimization_steps": 100, "probabilities": [0.23643627101150794, 0.38804887001964844], "optimization_time": 4051.2602260112762} | 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(11) @ Z(2)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(13) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.0 * Z(1) + 0.0 * Z(9) + 0.0... | 9 | 14 | 1 | {"smallest_eigenvalues": [-5.499999999999999, -5.499999999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.499999999999995, "smallest_bitstrings": ["10001010011000", "10001010011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] 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];
cry(-1.0342) q[12], q[9];
cry(-1.0342) q[11], q[4];
ry(1.3762) q[2];
cry(-0.7081) q[5], q[9];
ry(1.0162) q[12];
cry(1.1525) q[12], q[5];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] 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];\ncry(-1.0342) q[12], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure... |
20a60ed013bc1976376f734be7d8d92c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [173, 165], "expectation_value": -0.05947614293605104, "params": [0.2001, -0.007500000000000001, 0.196, -0.0064, 0.18480000000000002, 0.0044, 0.18000000000000002, -0.0024000000000000002, 0.2021, -0.013000000000000001, 0.2031, -0.007500000000000001, 0.18000000000000002, 0.015600000000000001, 0.1681, 0.0153000... | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 6 | 8 | 4 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "10101010", "01011010", "01010101", "10010110", "01101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2001) q[0];
rz(-0.0075) q[0];
rx(0.1848) q[1];
rz(0.0044) q[1];
rx(0.2021) q[2];
rz(-0.013) q[2];
rx(0.18) q[3];
rz(0.0156) q[3];
rx(0.1896) q[4];
rz(0.0057) q[4];
rx(0.1924) q[5];
rz(0.0049) q[5];
rx(0.1872) q[6];
rz(0.0041) q[6];
rx(0.2028) 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] 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": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
b5518f36afa4dbdb0f95543c602afa47 | 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": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [117, 110], "expectation_value": -33.983010484832604, "params": [[0.025500000000000002, -0.00030000000000000003, -0.0151], [-0.0889, -0.0787, -0.056100000000000004]], "bitstrings": ["110001010", "110010001"], "total_optimization_steps": 10, "probabilities": [0.007435143356340368, 0.009678949633173381], "opti... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"]} | 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[2], q[1];
rz(0.2295) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.2295) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.2295) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.2295) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
90ed954541db23a75eecb07977c28089 | 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": 4}, {"source": ... | {"states": [24, 20], "expectation_value": -4.973756373003075, "params": null, "bitstrings": ["100111", "101011"], "total_optimization_steps": 18, "probabilities": [0.07348093650168183, 0.9007115427574266], "optimization_time": 14.306776762008667} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 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) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.5681) q[5];
ry(1.4449) q[1];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[1], q[3];
cry(-0.3789) q[1], q[2];
cry(0.1072) q[3], q[1];
cry(-0.0... | 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... |
2c6d895f788675d7b5a17eb0b56c7f21 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "s... | {"states": [215, 1], "expectation_value": -0.603006316439131, "params": [[-0.0275, 0.0722], [0.0568, -0.0529]], "bitstrings": ["100101000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002665431434620919, 0.0028364365184640177], "optimization_time": 4.066106796264648} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + 2.5 * (Z(8) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(0.0413) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0138) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0413) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(0.0275) q[5];
cx q[3], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
ba516fd0ce7824e6228356c5f232cfab | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -24.005197879118032, "params": [[[1.4635, 0.0004], [0.5018, 0.0012000000000000001], [0.1864, 0.0012000000000000001], [0.18680000000000002, 0.0041], [0.4857, 0.006900000000000001], [1.6022, 0.0027], [1.6015000000000001, 0.0009000000000000001]]], "bitstrings": ["1111101", "1111100"... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4635) q[0];
rz(0.0004) q[0];
rx(0.5018) q[1];
rz(0.0012) q[1];
rx(0.1864) q[2];
rz(0.0012) q[2];
rx(0.1868) q[3];
rz(0.0041) q[3];
rx(0.4857) q[4];
rz(0.0069) q[4];
rx(1.6022) q[5];
rz(0.0027) q[5];
rx(1.6015) q[6];
rz(0.0009) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"k": 5} | {"circuits": [], "gradients": []} |
082a088e0d8cf5644bb54063ea0af58e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2015, 2013], "expectation_value": -5.435242543123485, "params": [[0.10930000000000001], [-0.10700000000000001]], "bitstrings": ["00000100000", "00000100010"], "total_optimization_steps": 20, "probabilities": [0.0020460073204452, 0.0020908857017042566], "optimization_time": 1.171907663345337} | -2.5 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -27.0, "smallest_bitstrings": ["00000111111", "00000100010"]} | 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[2], q[0];
rz(-0.5465) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.3279) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.5465) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.5465)... | 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[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[2], ... | {"node": 5} | {"circuits": [], "gradients": []} |
-4185941427110875677 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [0, 3, 4], [1, 2, 3], [2, 4, 6], [0, 1, 5], [2, 3, 6], [1, 4, 6], [0, 2, 4], [3, 5]]} | {"states": [60, 54], "expectation_value": -2.456755296829903, "params": null, "bitstrings": ["1000011", "1001001"], "total_optimization_steps": 35, "probabilities": [0.06003462222132051, 0.9161252706445804], "optimization_time": 39.09029030799866} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4999999999999996, -2.4999999999999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0000110", "1001001"]} | 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(1.5592) q[2];
ry(1.2292) q[1];
cry(-1.0206) q[5], q[3];
ry(0.7148) q[5];
ry(1.0268) q[4];
cry(-0.6214) q[2], q[3];
cry(0.5894) q[2], q[5];
cry(-1.1223) q[4], q[0];
cry(0.3836) q[2], q[4];
cry(-0.8383) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5592) q[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", "... |
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