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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2d66a63516707ef6fa08689003d445e4 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.13465871822524586, "params": [[0.0688], [-0.0713]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017944482065986842, 0.018263402901212], "optimization_time": 1.3285841941833496} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "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[4], q[0];
rz(-0.0344) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0688) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.1032) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.1376) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
44e8495c1eeae4e26ce46cf2532bece4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [43, 41], "expectation_value": -3.0083391670327773, "params": [[0.0805], [-0.08710000000000001]], "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 10, "probabilities": [0.015023891563048085, 0.015206097563973613], "optimization_time": 1.8384504318237305} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.2013) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.2818) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.161) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.2818) q[4];
cx q[2], q[4];
cx q[0], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [68, 5], "expectation_value": -7.659911186378091, "params": null, "bitstrings": ["0111011", "1111010"], "total_optimization_steps": 26, "probabilities": [0.14623545328473836, 0.8524775409824853], "optimization_time": 24.805418491363525} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5706) q[5];
ry(1.5681) q[4];
cry(-1.5681) q[6], q[0];
ry(1.1964) q[6];
ry(-1.5681) q[1];
ry(-1.5681) q[3];
cry(-0.5985) q[4], q[0];
cry(-1.5658) q[4], q[2];
cry(0.2807) q[4], q[6];
ry(-0.1495) q[0];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
92e0d9744e7b0376f2c61fec7a621b77 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [2713, 1689], "expectation_value": -1.512349468105256, "params": [[[3.1443000000000003, 0.0045000000000000005], [-1.4841, 0.0044], [3.1437, 0.0036000000000000003], [-2.7242, 0.006900000000000001], [3.1437, 0.0092], [0.0027, 0.0056], [3.1437, 0.0051], [-0.0023, 0.0092], [3.1443000000000003, 0.0028], [-0.0027,... | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0010204081... | 2 | 12 | 1 | {"smallest_eigenvalues": [-1.514795918367347, -1.514795918367347], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107142857142857, "smallest_bitstrings": ["011010011001", "100101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1443) q[0];
rz(0.0045) q[0];
rx(-1.4841) q[1];
rz(0.0044) q[1];
rx(3.1437) q[2];
rz(0.0036) q[2];
rx(-2.7242) q[3];
rz(0.0069) q[3];
rx(3.1437) q[4];
rz(0.0092) q[4];
rx(0.0027) q[5];
rz(0.0056) q[5];
rx(3.1437) q[6];
rz(0.0051) q[6];
rx(-0.0023) 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] x2;
input float[64] x3;
input float[6... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-3000403271826312514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 10], [8, 6], [1, 3, 5, 8, 9], [8, 4], [4, 5, 7], [0, 1, 7], [2, 4, 6], [1, 2, 3, 4, 5, 9], [3, 7], [0, 2, 5, 7, 8, 9], [1, 9, 6], [10, 4, 7], [0, 2, 3, 5, 6, 10], [6, 7], [2, 3, 4, 5, 9, 10], [0, 1, 5, 6], [2, 5, 8, 9, 10]]} | {"states": [1523, 1267], "expectation_value": -4.254641511880913, "params": [1.5807, 1.5839, 0.3541, 0.3431, 0.7668, 0.7737, 1.5784, 1.5571000000000002, 1.4968000000000001, 1.5747, 1.5906, 1.4265, 1.363, 1.5866, 0.2207, 0.22210000000000002, 0.1236, 0.1136, 1.5945, 1.4584000000000001, 1.2887, 1.2253, 0.6892, 0.7315, -0.... | 0.5 * (Z(1) @ Z(10)) + 0.05 * (Z(8) @ Z(10)) + 0.05 * (Z(8) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(10)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(8)) + 0.06666666666666667 * (Z(3) @ Z(10)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(8)) + 0.03333333333333333 * (Z(3) @ Z(6)) + 0.11666666666666667 * (Z(5) ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.116666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.516666666666668, "smallest_bitstrings": ["01100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5807) q[0];
ry(0.3541) q[1];
ry(0.7668) q[2];
ry(1.5784) q[3];
ry(1.4968) q[4];
ry(1.5906) q[5];
ry(1.363) q[6];
ry(0.2207) q[7];
ry(0.1236) q[8];
ry(1.5945) q[9];
ry(1.2887) q[10];
crx(0.6892) q[10], q[0];
crx(1.3142) q[9], q[10];
crx(0.3565) q[8], q[9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8688763616674854855 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 4], [0, 5], [1, 2], [1, 5], [0, 1], [2, 5]]} | {"states": [43, 42], "expectation_value": -0.055225929523637404, "params": [[[1.7279, 0.0073], [1.4019000000000001, 0.0021000000000000003], [1.6941000000000002, 0.0068000000000000005], [1.3878000000000001, 0.0056], [1.7384000000000002, 0.0083], [1.5084, 0.007]]], "bitstrings": ["010100", "010101"], "total_optimization_... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.7279) q[0];
rz(0.0073) q[0];
rx(1.4019) q[1];
rz(0.0021) q[1];
rx(1.6941) q[2];
rz(0.0068) q[2];
rx(1.3878) q[3];
rz(0.0056) q[3];
rx(1.7384) q[4];
rz(0.0083) q[4];
rx(1.5084) q[5];
rz(0.007) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | 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": []} |
94cf96f9661e446725dd34aa52834420 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [218, 234], "expectation_value": -95.92629015478897, "params": [[[0.6113000000000001, 0.3527, 0.003, 0.0015], [-0.0025, 0.8969, -0.0025, 0.009300000000000001], [1.2952000000000001, -0.0028, 0.0056, 0.0017000000000000001], [-0.0444, 0.0137, 1.2699, 0.0056], [-0.3942, 0.0038, 0.0077, 0.0081], [0.0517, -0.0089,... | 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(2) @ Z(5)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 23.0 * Z(3) ... | 12 | 10 | 2 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.0, "smallest_bitstrings": ["1100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6113) q[0];
rz(0.3527) q[0];
ry(-0.0025) q[1];
rz(0.8969) q[1];
ry(1.2952) q[2];
rz(-0.0028) q[2];
ry(-0.0444) q[3];
rz(0.0137) q[3];
ry(-0.3942) q[4];
rz(0.0038) q[4];
ry(0.0517) q[5];
rz(-0.0089) q[5];
ry(1.293) q[6];
rz(0.007) q[6];
ry(0.0151) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
e6eaddd0655a3c19d097fc05e021d9a7 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [255, 2047], "expectation_value": -4.304470865084319, "params": [[0.0655], [-0.0684]], "bitstrings": ["11100000000", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.001134972885528239, 0.0011489624464881257], "optimization_time": 8.305336236953735} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(7)) + 1.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(3)) + 1.5 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(8)) + -3.5 * (Z(10) @ Z(4)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.1965) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0655) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.262) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.4585) ... | 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[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]... | {"node": 3} | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [11, 22], "expectation_value": -0.3176132228941537, "params": [[0.0732, 0.0685], [-0.08310000000000001, -0.0779]], "bitstrings": ["110100", "101001"], "total_optimization_steps": 10, "probabilities": [0.02118786469411497, 0.02118786469411497], "optimization_time": 2.205077886581421} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"]} | 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(0.0732) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0732) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(0.0732) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0732) q[2];
cx q[1], q[2];
cx q[5], q[3];
rz(0.0732... | 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[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... | null | {"circuits": [], "gradients": []} |
9325960b1637dc394e7dc9dd3fcbad13 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "... | {"states": [3456, 4083], "expectation_value": -8.907303326590611, "params": [0.18430000000000002, 0.16840000000000002, -0.7116, 0.21330000000000002, -0.22210000000000002, 1.4293, -0.738, 0.8183, 0.3961, 1.3054000000000001, -0.0952, 0.8007000000000001, 0.5692, 0.7818, 0.8347, -0.7592, 0.7704000000000001, 0.877, 0.8424, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 1.0 * Z(9) + -1.0 * Z(8) + 0.5 * Z(11) + 0.5 ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["000000000000", "000000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1843) q[0];
rz(0.1684) q[0];
rx(-0.2221) q[1];
rz(1.4293) q[1];
rx(0.3961) q[2];
rz(1.3054) q[2];
rx(0.5692) q[3];
rz(0.7818) q[3];
rx(0.7704) q[4];
rz(0.877) q[4];
rx(0.7698) q[5];
rz(0.7981) q[5];
rx(0.7387) q[6];
rz(0.8676) q[6];
rx(0.7732) 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": 7} | {"circuits": [], "gradients": []} |
1f15db56645aa784f47efc16e5301c8d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [126, 1], "expectation_value": -0.9040957223796178, "params": [[-0.0521], [0.059300000000000005]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010802513129654336, 0.011366433846833723], "optimization_time": 1.9803507328033447} | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.1563) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0521) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.1563) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.1303) q[2];
cx q[1], q[2];
cx q[1], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [13, 50], "expectation_value": -0.49406492487631554, "params": [[-0.0298, -0.0678, -0.0524], [-0.0068000000000000005, 0.0646, 0.06520000000000001]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.023726608151088194, 0.0237266081510882], "optimization_time": 3.33467221... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0298) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0298) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0298) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.0298) q[1];
cx q[3], q[1];
cx q[1], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
5453c2513a3015ff34fdf7af0c17d479 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [56, 7], "expectation_value": -5.235334094890259, "params": [[0.0067, 0.06380000000000001, 0.0339], [-0.012, -0.061900000000000004, -0.053000000000000005]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.015367326580882608, 0.016169018866364352], "optimization_time"... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 9 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0301) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0301) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0301) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0301) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} |
902d1b67930e0629acecd09204caf4e9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [89, 95], "expectation_value": -10.259671956045993, "params": null, "bitstrings": ["10100110", "10100000"], "total_optimization_steps": 78, "probabilities": [0.12501699519549195, 0.8278427170880167], "optimization_time": 111.40426182746887} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2796) q[5];
cry(1.5708) q[5], q[1];
ry(1.5708) q[3];
cry(-1.0997) q[3], q[5];
cry(-0.0106) q[1], q[5];
cry(1.2795) q[6], q[5];
cry(0.5014) q[2], q[5];
cry(1.5472) q[1], q[7];
cry(-1.5483) q[7... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
8986873892930257941 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5], [1, 3], [2, 3, 7], [0, 1, 2, 4, 6, 7]]} | {"states": [109, 225], "expectation_value": -0.02972814065686443, "params": [[0.07640000000000001], [-0.0806]], "bitstrings": ["10010010", "00011110"], "total_optimization_steps": 10, "probabilities": [0.004121042689257882, 0.004121084112145962], "optimization_time": 2.8737101554870605} | 0.19999999999999998 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(7) @ Z(1)) + 0.03333333333333333 * (Z(7) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.3666666666666667, -1.3666666666666667, -1.3666666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.3666666666666663, "smallest_bitstrings": ["10011000", "10010010", "00011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0306) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0255) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0255) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(0.0764) q[3];
cx q[1], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5]... | null | {"circuits": [], "gradients": []} |
01c79553cd838cd252f6e60dedff49e5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [101, 127], "expectation_value": -8.40099804545785, "params": null, "bitstrings": ["10011010", "10000000"], "total_optimization_steps": 81, "probabilities": [0.13187941624328978, 0.7638268127257326], "optimization_time": 121.93324017524719} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[5];
cry(1.5706) q[6], q[3];
ry(0.7237) q[6];
ry(1.5698) q[2];
ry(1.5677) q[1];
cry(1.5695) q[3], q[4];
cry(0.5072) q[3], q[6];
cry(0.2743) q[4], q[3];
cry(1.4449) q[2], q[7];
cry(-1.4... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1918, 1916], "expectation_value": -13.533454476532444, "params": [[[0.6448, 0.1457, 0.001, 0.0063], [-0.42810000000000004, -0.025, 0.5625, 0.0679], [0.5847, 0.025500000000000002, 0.5700000000000001, -0.058], [-0.0053, -0.6902, -0.0008, -1.1543], [-0.10930000000000001, -0.0066, 0.11380000000000001, -0.2205],... | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 11 | 13 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100110100001", "1100001000101", "1000100100001", "1100110010001", "1100101010001", "1000100010001", "1100010000011... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.6448) q[0];
rz(0.1457) q[0];
ry(-0.4281) q[1];
rz(-0.025) q[1];
ry(0.5847) q[2];
rz(0.0255) q[2];
ry(-0.0053) q[3];
rz(-0.6902) q[3];
ry(-0.1093) q[4];
rz(-0.0066) q[4];
ry(0.0042) q[5];
rz(0.1361) q[5];
ry(0.0053) q[6];
rz(-0.3992) q[6];
ry(0.0025) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -6.150286094957454, "params": [0.0137, -0.8829, -0.013000000000000001, 0.9096000000000001, 0.0033, 1.0011, -0.39730000000000004, 1.5075, 0.6591, 0.5825, 1.081, -0.1834, 0.0017000000000000001, -1.0786, -0.0187, 0.7138, 0.1053, 1.2636, 0.045200000000000004, 0.9283, 0.6101, 1.4611,... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 4 | 6 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0137) q[0];
rz(-0.8829) q[0];
rx(-0.013) q[1];
rz(0.9096) q[1];
rx(0.0033) q[2];
rz(1.0011) q[2];
rx(-0.3973) q[3];
rz(1.5075) q[3];
rx(0.6591) q[4];
rz(0.5825) q[4];
rx(1.081) q[5];
rz(-0.1834) q[5];
crx(0.0657) q[5], q[4];
crx(0.3886) q[4], q[3];
crx(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -9.30455458162997, "params": [0.0014, 0.23670000000000002, 0.4868, 0.0023, -0.0016, 0.37570000000000003, -0.0001, 0.2922, 0.0001, 0.27490000000000003, -0.0011, 0.30910000000000004, -0.48360000000000003, 0.0026000000000000003, 0.0006000000000000001, 0.21280000000000002, 0.485500... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 3 | 7 | 4 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0014) q[0];
rz(0.2367) q[0];
rx(0.4868) q[1];
rz(0.0023) q[1];
rx(-0.0016) q[2];
rz(0.3757) q[2];
rx(-0.0001) q[3];
rz(0.2922) q[3];
rx(0.0001) q[4];
rz(0.2749) q[4];
rx(-0.0011) q[5];
rz(0.3091) q[5];
rx(-0.4836) q[6];
rz(0.0026) q[6];
crz(0.0054) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
61fc58e7ea5c0b858181cef6a00713e4 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [249, 188], "expectation_value": -29.76401815418995, "params": null, "bitstrings": ["100000110", "101000011"], "total_optimization_steps": 100, "probabilities": [0.10854950291818022, 0.1832553262641075], "optimization_time": 173.6086401939392} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.1215) q[4];
ry(-23.4164) q[5];
cry(0.1181) q[5], q[4];
ry(23.9349) q[3];
cry(-2.7541) q[7], q[4];
ry(56.209) q[2];
ry(63.0362) q[6];
cry(62.7821) q[5], q[6];
cry(16.3845) q[5], q[2];
... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
598a895484db1dd124dda8633fc7a99c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [57, 121], "expectation_value": -3.984922711475237, "params": [-0.0111, 0.2088, -0.0137, 0.2109, 0.2617, 0.0718, 0.2615, 0.0267, 0.3996, 0.0012000000000000001, 0.4006, -0.0029000000000000002, 0.39780000000000004, 0.0036000000000000003, 0.4062, 0.0013000000000000002, 0.39980000000000004, 0.0, 0.4032, 0.003100... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(2) + 0.0 * Z(7) | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0111) q[0];
rz(0.2088) q[0];
rx(0.2617) q[1];
rz(0.0718) q[1];
rx(0.3996) q[2];
rz(0.0012) q[2];
rx(0.3978) q[3];
rz(0.0036) q[3];
rx(0.3998) q[4];
rz(0) q[4];
rx(-0.0116) q[5];
rz(0.2164) q[5];
rx(0.0031) q[6];
rz(0.2113) q[6];
rx(0.4064) q[7];
rz(0.082... | 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": []} |
4286d838a0864c608421aefd7c0a8694 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [3, 1], "expectation_value": -2.605324780112483, "params": [[0.0626, 0.0582], [-0.060200000000000004, -0.0572]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00946830514769875, 0.009849924320260063], "optimization_time": 3.234785556793213} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1252) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1565) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1252) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0939) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
43783f0d102db45430e0e9cc0abd5421 | 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": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [1, 5], "expectation_value": -13.749999999754339, "params": null, "bitstrings": ["111111110", "111111010"], "total_optimization_steps": 28, "probabilities": [0.499999999985678, 0.499999999985678], "optimization_time": 27.94186282157898} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(3)) + 2.25 * (Z(8)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.75, "smallest_bitstrings": ["111111010", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[8];
ry(-1.5708) q[0];
ry(-1.5708) q[7];
ry(-1.5681) q[1];
ry(-1.5708) q[3];
ry(-1.5706) q[4];
ry(-1.5708) q[2];
ry(-1.5681) q[5];
cry(-0.0027) q[8], q[1];
cry(-0.0002) q[8], q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
7f226d208153dcfb632077c65c1f90bf | 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": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7},... | {"states": [0, 1987], "expectation_value": -14.271724628963533, "params": [-0.42050000000000004, 0.5964, 0.0258, 0.7983, -0.4701, 1.0171000000000001, 0.3917, 0.9046000000000001, -0.4697, 1.0691000000000002, -0.1973, 1.0708, -0.4743, 1.3307, 0.437, 1.0849, -0.46340000000000003, 1.3069000000000002, 0.4186, 1.242900000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 1.0 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.4205) q[0];
rz(0.5964) q[0];
rx(-0.4701) q[1];
rz(1.0171) q[1];
rx(-0.4697) q[2];
rz(1.0691) q[2];
rx(-0.4743) q[3];
rz(1.3307) q[3];
rx(-0.4634) q[4];
rz(1.3069) q[4];
rx(0.0038) q[5];
rz(1.0022) q[5];
rx(0.0016) q[6];
rz(0.9459) q[6];
rx(0.0029) 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"node": 3} | {"circuits": [], "gradients": []} |
01a8e5f0e4da72adfede252ce1ffa4f0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [129, 1], "expectation_value": -0.019273571581616897, "params": [[0.0128], [-0.0196]], "bitstrings": ["101111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.001983545909716215, 0.0019855041310855234], "optimization_time": 2.5044705867767334} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.75, "smallest_bitstrings": ["100001000", "111111110", "101111110", "101111010", "111111010"]} | 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[4], q[0];
rz(-0.0128) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0128) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0064) q[5];
cx q[0], q[5];
cx q[0], q[8];
rz(0.0256) 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] 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];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
b575860502e0560613ed09a59a899ee7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [129, 193], "expectation_value": -13.276703877218846, "params": [-0.0026000000000000003, 1.1112, 1.5572000000000001, 0.004, -0.8479, -0.0082, -0.0027, 1.2185000000000001, -0.008400000000000001, 0.1826, -0.0024000000000000002, 0.5216000000000001, -0.0027, 1.2533, -0.0021000000000000003, 1.2108, 1.563200000000... | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100101000", "100100000", "100101100", "100101110", "100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0026) q[0];
rz(1.1112) q[0];
rx(1.5572) q[1];
rz(0.004) q[1];
rx(-0.8479) q[2];
rz(-0.0082) q[2];
rx(-0.0027) q[3];
rz(1.2185) q[3];
rx(-0.0084) q[4];
rz(0.1826) q[4];
rx(-0.0024) q[5];
rz(0.5216) q[5];
rx(-0.0027) q[6];
rz(1.2533) q[6];
rx(-0.0021) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
aba1bd0490555356df462887ed55ae68 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [946, 690], "expectation_value": -1.9533877552851462, "params": [[[0.9071, -0.001], [0.6906, 0.0932], [0.9046000000000001, 0.0], [-0.0024000000000000002, 0.6624], [0.8985000000000001, -0.001], [0.8972, -0.0017000000000000001], [-0.0027, 0.5251], [-0.0023, 0.6325000000000001], [0.8947, 0.0002], [0.4611, -0.22... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(4) @ Z(0)) + 0.03125 * (Z(0) @ Z(5)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(4) @ Z(3)) + 0.03125 * (Z(5) @ Z(3)) + 0.03125 * (Z(3) @ Z(6)) + 0.03125 * (Z... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.28125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.28125, "smallest_bitstrings": ["0101001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9071) q[0];
rz(-0.001) q[0];
rx(0.6906) q[1];
rz(0.0932) q[1];
rx(0.9046) q[2];
rz(0) q[2];
rx(-0.0024) q[3];
rz(0.6624) q[3];
rx(0.8985) q[4];
rz(-0.001) q[4];
rx(0.8972) q[5];
rz(-0.0017) q[5];
rx(-0.0027) q[6];
rz(0.5251) q[6];
rx(-0.0023) 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": []} |
29e20e1b5f946c33b32370f6ba5b02af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [272, 256], "expectation_value": -13.37959965627434, "params": [-0.0371, 0.0014, 0.07060000000000001, 0.0028, 0.0029000000000000002, 0.5306000000000001, 0.0031000000000000003, 0.0058000000000000005, 0.0019, 0.6059, 0.0019, 0.0002, 0.8039000000000001, 0.0015, 0.8065, 0.009300000000000001, 0.002900000000000000... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(11)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -0.75 * (Z(6) @ Z(11)) + -0.75 * (Z(6) @ Z(1)) + -0.... | 6 | 12 | 1 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "111011101011", "111011101111", "111011111011", "111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0371) q[0];
rz(0.0014) q[0];
rx(0.0029) q[1];
rz(0.5306) q[1];
rx(0.0019) q[2];
rz(0.6059) q[2];
rx(0.8039) q[3];
rz(0.0015) q[3];
rx(0.0029) q[4];
rz(0.585) q[4];
rx(0.002) q[5];
rz(0.5922) q[5];
rx(0.002) q[6];
rz(0.5299) q[6];
rx(0.7513) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-3145301099851918303 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[5, 7], [2, 7], [1, 3], [0, 5], [3, 4], [0, 6], [8, 6], [9, 2], [10, 3]]} | {"states": [1103, 1095], "expectation_value": -0.009939487981645845, "params": [1.6026, 0.008700000000000001, 1.5465, 0.0059, 1.5471000000000001, 0.0031000000000000003, 1.4856, 0.0098, 1.6041, 0.0049, 1.5356, 0.009000000000000001, 1.5101, 0.009000000000000001, 1.5693000000000001, 0.0039000000000000003, 1.63350000000000... | 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(8) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(9) + 0.0 ... | 16 | 11 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["01110111000", "10001000111", "00011011000", "11100100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.6026) q[0];
rz(0.0087) q[0];
rx(1.5465) q[1];
rz(0.0059) q[1];
rx(1.5471) q[2];
rz(0.0031) q[2];
rx(1.4856) q[3];
rz(0.0098) q[3];
rx(1.6041) q[4];
rz(0.0049) q[4];
rx(1.5356) q[5];
rz(0.009) q[5];
rx(1.5101) q[6];
rz(0.009) q[6];
rx(1.5693) 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": []} |
d6a0416211a923ad5745888e36470119 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -17.599723182836886, "params": [[[0.0021000000000000003, 1.5994000000000002], [0.0024000000000000002, 0.0021000000000000003], [0.0032, 0.0027], [0.0026000000000000003, -0.0031000000000000003], [0.0018000000000000002, 0.0024000000000000002], [0.0021000000000000003, 0.002], [0.00... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.0 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0021) q[0];
ry(0.0024) q[1];
ry(0.0032) q[2];
ry(0.0026) q[3];
ry(0.0018) q[4];
ry(0.0021) q[5];
ry(0.0024) q[6];
ry(0.0028) q[7];
ry(0.0027) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
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] 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;
ry(x0) q[0];
ry(x1... | {"node": 7} | {"circuits": [], "gradients": []} |
-1164157439088496540 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [4, 5], [0, 5], [2, 7], [5, 7], [2, 4], [3, 7], [1, 2], [1, 7], [0, 6]]} | {"states": [54, 201], "expectation_value": -0.08516065329910358, "params": [[-0.0616], [0.0704]], "bitstrings": ["11001001", "00110110"], "total_optimization_steps": 10, "probabilities": [0.004461692020581228, 0.004461692020581228], "optimization_time": 0.653404712677002} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["00110110", "10001001", "01110110", "11001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(-0.0616) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0616) q[5];
cx q[4], q[5];
cx q[5], q[0];
rz(-0.0616) q[0];
cx q[5], q[0];
cx q[4], q[2];
rz(-0.0616) q[2];
cx q[4], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[4]... | null | {"circuits": [], "gradients": []} |
a4c9222a5b9b1eb79ad1a9b8af6d1a47 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [89, 81], "expectation_value": -2.6311024367197042, "params": [[[1.7116, 0.0064], [0.1408, 0.0031000000000000003], [1.5757, 0.0007], [1.5667, 0.0038], [0.049800000000000004, 0.009300000000000001], [0.0439, 0.005], [1.7066000000000001, 0.0082]]], "bitstrings": ["0100110", "0101110"], "total_optimization_steps... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "0101110", "1110010", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.7116) q[0];
rz(0.0064) q[0];
rx(0.1408) q[1];
rz(0.0031) q[1];
rx(1.5757) q[2];
rz(0.0007) q[2];
rx(1.5667) q[3];
rz(0.0038) q[3];
rx(0.0498) q[4];
rz(0.0093) q[4];
rx(0.0439) q[5];
rz(0.005) q[5];
rx(1.7066) q[6];
rz(0.0082) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
da3c81488557dc57e6e1f0bd43d65336 | connected_components | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [0, 28], "expectation_value": -8.578756314459913, "params": null, "bitstrings": ["11111", "00011"], "total_optimization_steps": 28, "probabilities": [0.141381338957833, 0.7964811195996159], "optimization_time": 10.69561505317688} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.5681) q[1], q[2];
cry(1.5708) q[2], q[0];
cry(1.2536) q[0], q[1];
cry(0.4771) q[0], q[2];
ry(-1.5681) q[4];
ry(-1.5708) q[3];
ry(-0.1694) q[0];
cry(0.1694) q[1], q[0];
cry(0.1297) q[2], q[1];
ry(-0.0082) q[2];
cry(... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5681) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
2131761915024304403 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [1, 2, 3], [1, 3, 5], [0, 2, 5], [2, 4, 5], [3, 4, 5], [0, 1, 2], [0, 2, 3]]} | {"states": [14, 25], "expectation_value": -0.02774082659213767, "params": [[0.0442], [-0.0325]], "bitstrings": ["110001", "100110"], "total_optimization_steps": 10, "probabilities": [0.015939742927636363, 0.01597067948379762], "optimization_time": 0.600360631942749} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) +... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["100110", "001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(0.0442) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.0147) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.0295) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(0.0147) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(0.0295... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x1) q[2];
cx q[4], q[2];
cx q[1... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -8.565377183863216, "params": [[[0.0014, 0.46140000000000003], [-0.0165, -0.3941], [-0.0106, -0.3907], [0.8054, 0.0008]], [[0.002, 0.0034000000000000002], [-0.010700000000000001, 0.0037], [-0.0058000000000000005, 0.0014], [0.8093, 0.0047]]], "bitstrings": ["1111", "1110"], "total... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.0014) q[0];
rz(0.4614) q[0];
rx(-0.0165) q[1];
rz(-0.3941) q[1];
rx(-0.0106) q[2];
rz(-0.3907) q[2];
rx(0.8054) q[3];
rz(0.0008) q[3];
rx(0.002) q[0];
rz(0.0034) q[0];
rx(-0.0107) q[1];
rz(0.0037) q[1];
rx(-0.0058) q[2];
rz(0.0014) q[2];
rx(0.8093) 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] 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... | {"k": 3} | {"circuits": [], "gradients": []} |
2766216575d506af6dd43cf61e47f17c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -2.1997216488874676, "params": [[0.0745], [-0.08030000000000001]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0036903729417271164, 0.0037792707080803916], "optimization_time": 1.0468006134033203} | -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "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[1];
rz(-0.3725) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.149) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.447) q[3];
cx q[1], q[3];
cx q[2], q[5];
rz(0.0745) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(x0) q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} |
6129550657426354843 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 6], [0, 3], [2, 5], [0, 1], [4, 5], [3, 4], [0, 4], [1, 5], [1, 4], [1, 6]]} | {"states": [52, 75], "expectation_value": -0.07177063541659892, "params": [[-0.060500000000000005], [0.0603]], "bitstrings": ["1001011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.008506132023437932, 0.008506132023437932], "optimization_time": 1.5386219024658203} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110100", "0111100", "1000111", "0111000", "1000011", "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[6], q[2];
rz(-0.0605) q[2];
cx q[6], q[2];
cx q[3], q[0];
rz(-0.0605) q[0];
cx q[3], q[0];
cx q[2], q[5];
rz(-0.0605) q[5];
cx q[2], q[5];
cx q[6], q[1];
rz(-0.0605) q[1];
cx q[6], q[1];
cx q[0], q[1... | 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[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[6], q[1];
... | null | {"circuits": [], "gradients": []} |
41e371d8cc4122e6ac05fda4a9a733df | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 1, "so... | {"states": [30, 1], "expectation_value": -1.5703121136173752, "params": [[0.0625, 0.061700000000000005, 0.0632, 0.06570000000000001], [-0.0631, -0.0582, -0.054400000000000004, -0.056]], "bitstrings": ["00001", "11110"], "total_optimization_steps": 10, "probabilities": [0.06602015210953106, 0.07674956037772493], "optimi... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + 0.75 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(-0.125) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0938) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.125) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(-0.1562) q[2];
cx q[1], q[2];
cx q[3], q[4];
rz(-0.0312) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-6261261412196214975 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 4, 1], [1, 5], [9, 5], [8, 0], [2, 3, 6], [2, 4, 5], [0, 3, 7], [5, 7], [4, 7], [8, 7], [9, 4, 6], [9, 2, 7], [1, 6, 7], [0, 9], [1, 3, 6]]} | {"states": [908, 909], "expectation_value": -3.935952182587135, "params": [3.1445000000000003, 0.0011, 3.1445000000000003, 0.0021000000000000003, 3.1446, 0.0057, 0.49410000000000004, 0.0002, 0.2843, 0.009600000000000001, -0.0016, 0.0026000000000000003, 3.1447000000000003, 0.0032, 3.1446, 0.0074, 0.0025, 0.0017000000000... | 0.3333333333333333 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.166... | 16 | 10 | 1 | {"smallest_eigenvalues": [-4.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666667, "smallest_bitstrings": ["0001110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.1445) q[0];
rz(0.0011) q[0];
rx(3.1445) q[1];
rz(0.0021) q[1];
rx(3.1446) q[2];
rz(0.0057) q[2];
rx(0.4941) q[3];
rz(0.0002) q[3];
rx(0.2843) q[4];
rz(0.0096) q[4];
rx(-0.0016) q[5];
rz(0.0026) q[5];
rx(3.1447) q[6];
rz(0.0032) q[6];
rx(3.1446) 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": []} |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -3.85692267121242, "params": [[-0.1714, -0.1752, -0.1743], [0.1736, 0.1749, 0.1741]], "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 20, "probabilities": [0.05377800869345352, 0.06421487537259439], "optimization_time": 4.108311653137207} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "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(0.1714) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0857) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0857) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.1714) q[5];
cx q[3], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
86f73578238baf3b633bd1fba1c953bb | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [62, 191], "expectation_value": -14.667187315829997, "params": null, "bitstrings": ["1111000001", "1101000000"], "total_optimization_steps": 100, "probabilities": [0.12488863678342652, 0.5632689141358193], "optimization_time": 165.22505950927734} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * (Z(9) @ Z(2)) + -1.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["1101000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[5], q[6];
ry(1.0383) q[5];
cry(1.5708) q[6], q[8];
cry(0.2441) q[8], q[6];
ry(-1.5708) q[1];
ry(-1.5577) q[3];
ry(-1.5708) q[0];
cry(1.5706) q[5], q[7];
cry(1.5704)... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[5], q[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] = measu... |
2631876904561401577 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 7], [3, 4], [4, 7], [0, 7], [2, 5, 7], [1, 4, 6], [5, 6, 7], [2, 4, 5, 6], [3, 5], [0, 1, 2, 5]]} | {"states": [204, 236], "expectation_value": -3.8962732633644164, "params": null, "bitstrings": ["00110011", "00010011"], "total_optimization_steps": 52, "probabilities": [0.041949402491380024, 0.9034240734433526], "optimization_time": 80.65175867080688} | 0.5 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.08333333333333333 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.9166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333335, "smallest_bitstrings": ["00010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4977) q[5];
cry(-1.4443) q[5], q[3];
ry(1.5394) q[4];
cry(1.4716) q[4], q[0];
cry(-1.568) q[4], q[7];
ry(1.408) q[1];
cry(-0.1269) q[4], q[3];
ry(0.0992) q[0];
cry(0.1507) q[0], q[1];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4977) 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[... |
3d599008e6d247101eb02503201a8a05 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [357, 97], "expectation_value": -5.890574193957668, "params": [[0.12100000000000001, 0.0244, 0.049300000000000004], [-0.1345, -0.134, -0.13140000000000002]], "bitstrings": ["111010011010", "111110011110"], "total_optimization_steps": 20, "probabilities": [0.0018678463275509732, 0.0018678463275509749], "optim... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 3 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | 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[9], q[5];
rz(0.121) q[5];
cx q[9], q[5];
cx q[9], q[10];
rz(0.484) q[10];
cx q[9], q[10];
cx q[5], q[10];
rz(0.242) q[10];
cx q[5], q[10];
cx q[9], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
d60bd0601326cfa100abef258dd8c714 | 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": [2003, 722], "expectation_value": -57.11837949939659, "params": [[[-1.3628, 1.5706], [1.3476000000000001, 1.5753000000000001], [1.5741, 1.5714000000000001], [0.053500000000000006, 1.5683], [0.4892, -0.111], [1.9041000000000001, 0.4796], [0.4562, 0.4844], [-1.1983000000000001, 1.8940000000000001], [-0.0769000... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(9) @ Z(8)) + 10.0 * Z(1) + 0.5 * Z(2) + 16.0 * Z(4) + 7.5 * Z(3) + 1.5 * Z(5) + 13.5 * Z(6)... | 15 | 11 | 1 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["10100101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-1.3628) q[0];
ry(1.3476) q[1];
ry(1.5741) q[2];
ry(0.0535) q[3];
ry(0.4892) q[4];
ry(1.9041) q[5];
ry(0.4562) q[6];
ry(-1.1983) q[7];
ry(-0.0769) q[8];
ry(-1.0386) q[9];
ry(1.358) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
-1082198652448256105 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 5], [1, 4], [2, 4, 5, 6], [0, 6], [3, 5], [0, 3, 4], [0, 1, 2], [2, 3]]} | {"states": [92, 86], "expectation_value": -2.9603428553336735, "params": null, "bitstrings": ["0100011", "0101001"], "total_optimization_steps": 38, "probabilities": [0.09984256764413672, 0.8015670623126363], "optimization_time": 50.083476066589355} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.2499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333326, "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];
ry(1.4074) q[2];
cry(-1.356) q[5], q[3];
ry(0.8616) q[5];
cry(-0.5728) q[2], q[3];
cry(-1.1532) q[4], q[1];
ry(1.0971) q[4];
cry(-0.7269) q[2], q[1];
ry(1.164) q[0];
cry(-1.4768) q[0], q[6];
cry(0.5396) q... | 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(1.4074) 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", "... |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [394, 395], "expectation_value": -0.9049552652789199, "params": [0.8031, 0.805, 0.8059000000000001, 0.7992, 0.5649000000000001, 0.5645, 0.0018000000000000002, 0.0019, 0.559, 0.5641, 0.8042, 0.809, 0.5642, 0.5669000000000001, 0.8047000000000001, 0.8092, 0.7975, 0.7957000000000001, 0.0083, 0.0041, 0.0512, 0.00... | 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(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(7) @ Z(5)) + 0.... | 13 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["101100100", "001110100", "100100101", "001110010", "011110000", "001101100", "010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.8031) q[0];
ry(0.8059) q[1];
ry(0.5649) q[2];
ry(0.0018) q[3];
ry(0.559) q[4];
ry(0.8042) q[5];
ry(0.5642) q[6];
ry(0.8047) q[7];
ry(0.7975) q[8];
crz(0.0083) q[8], q[0];
crz(-0.0002) q[7], q[8];
crz(-0.0123) q[6], q[7];
crz(0.0013) q[5], q[6];
crz(0.0171... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 4}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}]} | {"states": [26527, 26525], "expectation_value": -7.504758419522194, "params": [0.7899, 0.7912, 0.6934, 0.6875, 0.24380000000000002, 0.2485, 0.2126, 0.2126, 0.7743, 0.7866000000000001, 0.7712, 0.8066, 0.7652, 0.7629, 0.8126, 0.7995, 0.2419, 0.24550000000000002, 0.25270000000000004, 0.24980000000000002, 0.7689, 0.7909, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z... | 13 | 15 | 2 | {"smallest_eigenvalues": [-8.74999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999957, "smallest_bitstrings": ["001100001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.7899) q[0];
ry(0.6934) q[1];
ry(0.2438) q[2];
ry(0.2126) q[3];
ry(0.7743) q[4];
ry(0.7712) q[5];
ry(0.7652) q[6];
ry(0.8126) q[7];
ry(0.2419) q[8];
ry(0.2527) q[9];
ry(0.7689) q[10];
ry(0.7934) q[11];
ry(0.914) q[12];
ry(0.3807) q[13];
ry(0.8862) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
2b8dca7c94388a8984b1472327af39be | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [133, 7], "expectation_value": -10.734835552007919, "params": [[0.051000000000000004, 0.025900000000000003], [-0.0775, -0.0673]], "bitstrings": ["01111010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.009397716223636285, 0.010333751048023086], "optimization_time": 7.01030158996582} | 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)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 5 | 8 | 2 | {"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(0.2805) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2805) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2805) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2805) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"k": 5} | {"circuits": [], "gradients": []} |
96aa688a41503b0eea4bda42198f6281 | 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": 15, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 3, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -13.248496730994274, "params": [[0.0397], [-0.0829]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.004197879711692134, 0.005133056148859265], "optimization_time": 2.3054356575012207} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 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(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3573) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3573) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3573) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3573) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
572fd0f9ecd1a35670a297ec1414a2ae | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [3870, 4094], "expectation_value": -16.909809266821973, "params": null, "bitstrings": ["000011100001", "000000000001"], "total_optimization_steps": 100, "probabilities": [0.087574906022507, 0.44128758688401976], "optimization_time": 237.27166938781738} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5706) q[9], q[10];
ry(1.056) q[9];
cry(1.5708) q[8], q[7];
ry(1.115) q[8];
ry(0.556) q[7];
ry(0.5144) q[10];
cry(1.5706) q[2], q[3];
ry(1.056) q[2];
cry(1... | null | {"node": 12} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
-7745204400287325471 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6], [2, 3], [3, 6], [4, 6], [2, 4], [4, 5], [6, 7], [5, 6], [1, 4], [0, 4]]} | {"states": [42, 213], "expectation_value": -0.09216738801960103, "params": [[0.0748], [-0.0629]], "bitstrings": ["11010101", "00101010"], "total_optimization_steps": 10, "probabilities": [0.004356662581360363, 0.004356662581360363], "optimization_time": 1.6759669780731201} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.0, "smallest_bitstrings": ["11110101", "00011101", "00011010", "00011001", "11100110", "11100010", "11100101", "10100110", "11010101", "00101010... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[1];
rz(0.0748) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.0748) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(0.0748) q[2];
cx q[3], q[2];
cx q[6], q[4];
rz(0.0748) q[4];
cx q[6], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[6]... | null | {"circuits": [], "gradients": []} |
4187cb356e6f58a0c6714f20153352eb | 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": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -0.8080052328016523, "params": [[-0.0815], [0.0762]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0029781447125059863, 0.0030022104918346576], "optimization_time": 3.0335755348205566} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["101111110", "111111110", "111101100", "111111100", "111101110", "101101110", "101101100", "101111100"]} | 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(0.0408) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1222) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1222) q[3];
cx q[0], q[3];
cx q[3], q[1];
rz(0.0815) q[1];
cx q[3], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
0af011a3e3efdc768bc04ec8158153df | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [0, 177], "expectation_value": -2.9304207573834042, "params": [0.2998, 0.0004, 0.3029, 0.0006000000000000001, 0.3037, -0.0051, 0.3035, -0.0048000000000000004, 0.30160000000000003, -0.0017000000000000001, 0.3009, -0.0019, 0.3009, -0.0017000000000000001, 0.3037, -0.0019, 0.27340000000000003, 0.0023, 0.26180000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + 0.0 * Z(0) + -2.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + 0.0... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01001110", "10001110", "01001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2998) q[0];
rz(0.0004) q[0];
rx(0.3037) q[1];
rz(-0.0051) q[1];
rx(0.3016) q[2];
rz(-0.0017) q[2];
rx(0.3009) q[3];
rz(-0.0017) q[3];
rx(0.2734) q[4];
rz(0.0023) q[4];
rx(0.2878) q[5];
rz(-0.0013) q[5];
rx(0.3002) q[6];
rz(-0.0084) q[6];
rx(0.3067) 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": []} |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [27, 25], "expectation_value": -1.5801270216686125, "params": [-0.0023, 0.0059, 0.6924, 0.0066, 1.9092, 0.0082, 1.901, 0.0004, 0.0023, 0.0045000000000000005, 1.4787000000000001, 0.0067, 1.9006, 0.0056, 0.009600000000000001, 0.0011, 0.0027, 0.0008, 0.0077, 0.0002, 0.0014], "bitstrings": ["1100100", "1100110"]... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (Z(4) @ Z(0) @ Z(2)) + -0.125 * (Z(6) @ Z(0) ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.625, "smallest_bitstrings": ["1001110", "1010110", "1100110", "1100101", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0023) q[0];
rz(0.0059) q[0];
rx(0.6924) q[1];
rz(0.0066) q[1];
rx(1.9092) q[2];
rz(0.0082) q[2];
rx(1.901) q[3];
rz(0.0004) q[3];
rx(0.0023) q[4];
rz(0.0045) q[4];
rx(1.4787) q[5];
rz(0.0067) q[5];
rx(1.9006) q[6];
rz(0.0056) q[6];
crz(0.0096) q[6], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ab01514d72b7516b73973ff582495374 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"source": ... | {"states": [799, 1023], "expectation_value": -0.19548553963634976, "params": [[-0.0281], [0.0221]], "bitstrings": ["0011100000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0010567875461736979, 0.0010592660995054942], "optimization_time": 2.730065107345581} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + -2.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.0562) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0843) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.0281) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.1124) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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": 4} | {"circuits": [], "gradients": []} |
9eb990d2817d4507a1e9a1f31f8f79ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [104, 56], "expectation_value": -6.999937480746295, "params": null, "bitstrings": ["0010111", "1000111"], "total_optimization_steps": 32, "probabilities": [1.63569187056525e-05, 0.9999687410148392], "optimization_time": 41.52206230163574} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["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];
ry(-1.5708) q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
ry(1.4449) q[3];
ry(1.4417) q[1];
ry(1.4417) q[2];
cry(-0.1259) q[2], q[0];
cry(0.1217) q[3], q[1];
cry(0.1216) q[1], q[2];
cry(0.11... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
0eed4e40a6e08d28e3a83f5be72a773a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 3, "target": 4}, {"source": 3, "ta... | {"states": [168, 234], "expectation_value": -0.999956478451616, "params": [[0.0032, 0.0029000000000000002, 0.0173, -1.1740000000000002, -0.8134, -0.001, -0.0022, -0.0032], [0.0066, -0.0217, 0.0027, 0.7621, -0.7573000000000001, -0.0021000000000000003, -0.0035, -1.3217], [0.0047, 0.007200000000000001, 0.7613000000000001,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(7) + 0.0 * Z(4) + -0.5 * Z(6) | 9 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00010101", "00110010"]} | 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];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0032) q[0];
rx(0.0029) q[1];
rx(0.0173) q[2];
rx(-1.174) q[3];
rx(-0.8134) q[4];
rx(-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": []} |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1774, 2910], "expectation_value": -0.3174103179148005, "params": [[-0.0201, -0.064], [-0.014400000000000001, 0.0623]], "bitstrings": ["100100010001", "010010100001"], "total_optimization_steps": 10, "probabilities": [0.0002909187114026255, 0.00029091871140262565], "optimization_time": 7.1006691455841064} | 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(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | 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[4], q[3];
rz(-0.0201) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0201) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.0201) q[5];
cx q[3], q[5];
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;
input float[64] x8;
input float[64] x9;
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 ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
43307769d8a05a2ca68cecbc0fed0778 | 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": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.11067378302433349, "params": [[-0.069], [0.0655]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.01706105559599854, 0.017331160186426144], "optimization_time": 1.373708963394165} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100010", "100110"]} | 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(0.0345) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0345) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.069) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.1035) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0345... | 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[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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6780318490522267498 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 3, 5], [4, 5, 6, 7, 8], [1, 3, 6, 8, 9], [0, 9, 2], [0, 9, 3, 4], [0, 3, 6], [9, 2, 7], [1, 4, 5, 6, 7], [8, 2, 4, 7], [0, 1, 7, 8, 9], [8, 3, 5, 7], [0, 2, 3, 7, 8], [1, 4, 5, 7, 8], [1, 2, 3, 4, 7], [2, 6], [0, 1, 4, 6], [1, 2, 3, 4, 5], [0, 9, 4, 7], [0... | {"states": [980, 1012], "expectation_value": -3.9706381912697375, "params": [1.6913, 0.0245, 1.0754000000000001, 0.004200000000000001, 1.6860000000000002, 0.0361, 1.1193, 0.0027, 1.6844000000000001, 0.0286, 1.1747, 0.0019, 1.6902000000000001, 0.0287, 0.9059, 0.001, 1.4751, -0.3123, 0.7783, 0.0017000000000000001, 1.6858... | 0.3 * (Z(8) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(8)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.35 * (Z(5) @ Z(8)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(8)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.2 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.2, "smallest_bitstrings": ["0000001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6913) q[0];
rz(0.0245) q[0];
rx(1.686) q[1];
rz(0.0361) q[1];
rx(1.6844) q[2];
rz(0.0286) q[2];
rx(1.6902) q[3];
rz(0.0287) q[3];
rx(1.4751) q[4];
rz(-0.3123) q[4];
rx(1.6858) q[5];
rz(0.0417) q[5];
rx(0.7498) q[6];
rz(0.0539) q[6];
rx(1.6715) 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": []} |
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": [3, 7], "expectation_value": -11.466209278082529, "params": [[[0.40080000000000005, 0.19260000000000002], [0.4621, -0.1812], [0.4777, -0.1799], [0.4707, 0.1807], [0.46840000000000004, 0.1809], [0.79, 0.0018000000000000002], [0.8025, 0.0012000000000000001], [0.7926000000000001, 0.002]], [[0.4041, 0.0023], [0.... | 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 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4008) q[0];
rz(0.1926) q[0];
rx(0.4621) q[1];
rz(-0.1812) q[1];
rx(0.4777) q[2];
rz(-0.1799) q[2];
rx(0.4707) q[3];
rz(0.1807) q[3];
rx(0.4684) q[4];
rz(0.1809) q[4];
rx(0.79) q[5];
rz(0.0018) q[5];
rx(0.8025) q[6];
rz(0.0012) q[6];
rx(0.7926) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
6e27c825b578bdc34d46b278685ce298 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [9, 169], "expectation_value": -23.798638348679006, "params": null, "bitstrings": ["1111110110", "1101010110"], "total_optimization_steps": 82, "probabilities": [0.14305592851451157, 0.8509649937515801], "optimization_time": 188.1510832309723} | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"]} | 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(0.9755) q[6];
cry(1.5708) q[4], q[2];
ry(1.1604) q[4];
cry(0.0781) q[4], q[6];
cry(0.2783) q[2], q[6];
ry(0.5922) q[2];
ry(-1.5708) q[8];
ry(1.5708) q[9];
ry(-1.5708) q[0];
ry... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(0.9755) 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]... |
429a4b5a96135ec62e64c2b19aaedbc8 | 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": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"sour... | {"states": [416, 420], "expectation_value": -3.498316516934887, "params": [1.6044, 0.0094, 1.6143, 0.002, 1.3136, 0.0011, 1.6098000000000001, 0.0083, -0.002, 0.004200000000000001, 0.36160000000000003, 0.0039000000000000003, 1.6032000000000002, 0.0088, 0.3803, 0.0005, 0.0029000000000000002, 0.0011, 0.0019, 0.0035, 0.005... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + -1.0 * Z(7) + -0.5 * Z(0) + -1.5 * Z(8) + -1.5 * Z(4) + ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["010001111", "000011111", "100011110", "011010011", "001011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6044) q[0];
rz(0.0094) q[0];
rx(1.6143) q[1];
rz(0.002) q[1];
rx(1.3136) q[2];
rz(0.0011) q[2];
rx(1.6098) q[3];
rz(0.0083) q[3];
rx(-0.002) q[4];
rz(0.0042) q[4];
rx(0.3616) q[5];
rz(0.0039) q[5];
rx(1.6032) q[6];
rz(0.0088) q[6];
rx(0.3803) 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": []} |
5e1f1e75ba04327de43b1491321a7511 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [129, 1], "expectation_value": -11.430586736234044, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 29, "probabilities": [0.34605958487624006, 0.38668553381417664], "optimization_time": 27.110671758651733} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5577) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[2];
ry(-1.5709) q[5];
ry(-1.5708) q[4];
cry(1.4449) q[1], q[6];
ry(-0.7083) q[6];
ry(-0.4951) q[1];
cry(-0.6921) q[7], q[6];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
dd6cbd926c438646227685613b90c0ee | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [0, 511], "expectation_value": -18.097862279872423, "params": [[[-0.0027, 1.5988], [0.0031000000000000003, 0.0025], [0.0029000000000000002, -0.0029000000000000002], [-0.0016, 0.002], [0.0019, -0.002], [0.0024000000000000002, -0.0022], [0.0025, 0.0024000000000000002], [0.0024000000000000002, 0.002], [0.002600... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -2.0... | 15 | 9 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0027) q[0];
ry(0.0031) q[1];
ry(0.0029) q[2];
ry(-0.0016) q[3];
ry(0.0019) q[4];
ry(0.0024) q[5];
ry(0.0025) q[6];
ry(0.0024) q[7];
ry(0.0026) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 8} | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [122, 121], "expectation_value": -20.30318670301267, "params": [[0.023, 0.008, -0.0039000000000000003], [-0.052700000000000004, -0.0589, -0.0446]], "bitstrings": ["10000101", "10000110"], "total_optimization_steps": 10, "probabilities": [0.010007825316861441, 0.0106235719395832], "optimization_time": 6.73172... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.184) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.184) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.184) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.184) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
607dfe672a9c089714e83d20227118f4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [72, 73], "expectation_value": -3.7257382664292114, "params": [0.9027000000000001, 0.0017000000000000001, 0.7732, -0.038900000000000004, -0.0016, 0.5409, 0.9025000000000001, 0.2018, 0.0047, 0.5309, 0.0782, 0.6111, 0.8053, 0.1957, 0.9057000000000001, 0.006500000000000001, 0.7719, 0.0028, -0.0016, 0.0031000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z... | 3 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "0110110", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9027) q[0];
rz(0.0017) q[0];
rx(0.7732) q[1];
rz(-0.0389) q[1];
rx(-0.0016) q[2];
rz(0.5409) q[2];
rx(0.9025) q[3];
rz(0.2018) q[3];
rx(0.0047) q[4];
rz(0.5309) q[4];
rx(0.0782) q[5];
rz(0.6111) q[5];
rx(0.8053) q[6];
rz(0.1957) q[6];
crz(0.4236) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6e37aef8e2f10c2778e28c9dc9b1affa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [28, 67], "expectation_value": -0.7951443864820583, "params": [[-0.051300000000000005, -0.07010000000000001], [0.0563, 0.06380000000000001]], "bitstrings": ["1100011", "0111100"], "total_optimization_steps": 10, "probabilities": [0.010339683683977518, 0.011233092163268213], "optimization_time": 3.44003367424... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0513) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0513) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0513) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0513) q[4];
cx q[2], q[4];
cx q[1], 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] 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 ... | null | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [37, 49], "expectation_value": -2.9965156243239575, "params": null, "bitstrings": ["011010", "001110"], "total_optimization_steps": 20, "probabilities": [0.06700894031405273, 0.9297461660320854], "optimization_time": 11.151475667953491} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[2];
ry(1.4449) q[0];
ry(1.4417) q[5];
cry(-1.0398) q[1], q[3];
ry(0.7022) q[1];
ry(-0.4578) q[3];
cry(0.497) q[0], q[1];
cry(-0.3761) q[0], q[3];
cry(0.2474) q[5], q[1];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2133bfe2f16c389d56b638843cb4baa9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 88], "expectation_value": -5.49646409782871, "params": null, "bitstrings": ["0001111", "0100111"], "total_optimization_steps": 29, "probabilities": [0.06634871027471186, 0.9303659638128933], "optimization_time": 25.890783548355103} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(6) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001111", "0100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.5681) q[5];
ry(-1.5681) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0343) q[3], q[1];
ry(0.7003) q[3];
ry(-0.4549) q[1];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[1];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -3.9964640788483465, "params": null, "bitstrings": ["110100", "111000"], "total_optimization_steps": 21, "probabilities": [0.06634840540222475, 0.9303662461102485], "optimization_time": 14.513680219650269} | 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)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"]} | 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[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[5], q[3];
cry(-0.3789) q[5], q[2];
cry(0.2489) q[4], q[3];
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[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... |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [14, 77], "expectation_value": -2.879885350711258, "params": null, "bitstrings": ["1110001", "0110010"], "total_optimization_steps": 37, "probabilities": [0.06141251598943395, 0.8446750997103469], "optimization_time": 43.87950110435486} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"]} | 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(-1.4449) q[1];
ry(-1.4449) q[2];
ry(1.2953) q[4];
cry(-1.2979) q[6], q[5];
ry(1.2918) q[3];
ry(0.7766) q[6];
ry(-0.6306) q[5];
cry(1.319) q[6], q[0];
cry(0.4655) q[4], q[6];
cry(-0.1259) q[4], q[2];
cr... | 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(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
240b510bfe77c5e3336f7e5d9b59c15c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 9}, {"source": 4, "target": 5},... | {"states": [1920, 1792], "expectation_value": -3.8594270131017647, "params": [[-0.0601], [0.0659]], "bitstrings": ["00001111111", "00011111111"], "total_optimization_steps": 10, "probabilities": [0.0010128410535858619, 0.0010267623523291117], "optimization_time": 1.006700038909912} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(5)) + -3.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(7)) + 1.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(10)) + 1.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 1... | 1 | 11 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["00011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.1803) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0601) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1803) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(-0.0601) ... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 9} | {"circuits": [], "gradients": []} |
-3194089242389108944 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 4, 7, 9, 10], [5, 6, 7], [0, 3, 7, 8, 9, 11, 12], [1, 3, 5, 7, 10, 12], [8, 1], [2, 3, 5, 9, 12], [11, 5], [1, 3, 5, 6], [1, 2, 4, 6], [0, 1, 4, 5], [0, 3, 4, 6, 8], [1, 3, 4, 5, 7, 9], [8, 9, 10], [8, 10, 7], [1, 2, 3, 5, 9, 10], [1, 2, 3, 6, ... | {"states": [7021, 7023], "expectation_value": -3.7666998534489373, "params": [1.7788000000000002, 1.3934, 1.0654000000000001, 1.1217000000000001, 1.7802, 1.371, 1.5374, 1.6039, 1.6665, 1.7842, 0.3401, 0.34400000000000003, 1.4411, 1.6974, 1.54, 1.6085, 0.1381, 0.1179, 1.7675, 1.3785, 1.7841, 1.3800000000000001, 0.493100... | 0.22380952380952382 * (Z(1) @ Z(2)) + 0.14047619047619048 * (Z(4) @ Z(2)) + 0.2571428571428571 * (Z(4) @ Z(1)) + 0.10714285714285715 * (Z(7) @ Z(2)) + 0.20714285714285716 * (Z(7) @ Z(1)) + 0.09047619047619047 * (Z(7) @ Z(4)) + 0.1904761904761905 * (Z(9) @ Z(2)) + 0.12380952380952381 * (Z(9) @ Z(1)) + 0.0904761904761904... | 14 | 13 | 1 | {"smallest_eigenvalues": [-4.935714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.914285714285715, "smallest_bitstrings": ["0010010010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.7788) q[0];
ry(1.0654) q[1];
ry(1.7802) q[2];
ry(1.5374) q[3];
ry(1.6665) q[4];
ry(0.3401) q[5];
ry(1.4411) q[6];
ry(1.54) q[7];
ry(0.1381) q[8];
ry(1.7675) q[9];
ry(1.7841) q[10];
ry(0.4931) q[11];
ry(1.6782) q[12];
crx(0.9743) q[12], q[0];
crx(0.5062)... | 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": []} |
7254169215238567323 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [8, 3], [4, 5], [1, 4], [2, 5], [3, 6], [8, 1], [1, 2], [2, 3], [5, 6], [0, 5], [2, 6], [2, 4], [4, 7], [1, 3]]} | {"states": [169, 170], "expectation_value": -3.715084789182543, "params": null, "bitstrings": ["101010110", "101010101"], "total_optimization_steps": 81, "probabilities": [0.027087664496015827, 0.709100622407525], "optimization_time": 159.29114961624146} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["101010101", "010101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[6], q[2];
cry(-1.0342) q[3], q[8];
ry(1.0293) q[3];
cry(-0.8214) q[7], q[8];
cry(1.1655) q[3], q[7];
cry(-1.2155) q[5], q[4];
ry(1.0364) q[5];
cry(-1.0784) q[5], q[6];
cry(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];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
3fb92c2724b637b3a6562529e78f511e | 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": [474, 218], "expectation_value": -31.501389729541433, "params": [[-0.0434, -0.0044, 0.0057, 0.010400000000000001], [0.0748, 0.0665, 0.06760000000000001, 0.061700000000000005]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.013844902032906593, 0.0167934014456704... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 10.0 * Z(1) + 18.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[1];
rz(-0.3906) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.3906) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(-0.3906) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(-0.3906) q[2];
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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
74f246475a204c7e4685beb9efae91eb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -36.09920470222479, "params": [-0.003, -0.0071, -0.0006000000000000001, 0.0019, -0.0041, 0.0016, 0.2985, 0.30110000000000003, -0.0021000000000000003, -0.0014, 0.0017000000000000001, -0.0047, -0.0024000000000000002, -0.0001, -0.001, -0.0037, -0.0054, 0.0018000000000000002, -0.00... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(0)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(1... | 14 | 12 | 3 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.003) q[0];
ry(-0.0006) q[1];
ry(-0.0041) q[2];
ry(0.2985) q[3];
ry(-0.0021) q[4];
ry(0.0017) q[5];
ry(-0.0024) q[6];
ry(-0.001) q[7];
ry(-0.0054) q[8];
ry(-0.0035) q[9];
ry(-0.0028) q[10];
ry(-0.0004) q[11];
crx(0.1992) q[11], q[0];
crx(-0.231) q[10], ... | 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": []} |
5d4156bcf03d96be249adb6f40939435 | 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": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 2, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -20.775736776747337, "params": [[-0.035500000000000004, 0.0753], [0.0789, -0.045200000000000004]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006225709350948555, 0.0077189553102974245], "optimization_time": 3.7486846446990967... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3195) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3195) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3195) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3195) q[4];
cx q[2], 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": []} |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3957, 3445], "expectation_value": -4.732336314597491, "params": [0.9656, 0.22490000000000002, 1.0024, 0.2503, 0.6896, 0.4655, 0.9988, 0.2336, 0.5316000000000001, 0.4692, 1.0211000000000001, 0.24780000000000002, 1.0469, 0.0529, 1.0502, -0.039400000000000004, 0.49460000000000004, -0.3466, 1.079, 0.13290000000... | 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(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.9656) q[0];
rz(0.2249) q[0];
rx(1.0024) q[1];
rz(0.2503) q[1];
rx(0.6896) q[2];
rz(0.4655) q[2];
rx(0.9988) q[3];
rz(0.2336) q[3];
rx(0.5316) q[4];
rz(0.4692) q[4];
rx(1.0211) q[5];
rz(0.2478) q[5];
rx(1.0469) q[6];
rz(0.0529) q[6];
rx(1.0502) 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] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
df62b430c122c4297c9377287854fb07 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [5, 13], "expectation_value": -1.6984987970434475, "params": [[[0.0021000000000000003, 0.7384000000000001], [0.6685, 0.4088], [1.0468, -0.0036000000000000003], [-0.0074, 1.5717], [0.6718000000000001, -0.0034000000000000002]], [[0.0036000000000000003, 0.7413000000000001], [0.6659, 0.41200000000000003], [1.038... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0021) q[0];
rz(0.7384) q[0];
rx(0.6685) q[1];
rz(0.4088) q[1];
rx(1.0468) q[2];
rz(-0.0036) q[2];
rx(-0.0074) q[3];
rz(1.5717) q[3];
rx(0.6718) q[4];
rz(-0.0034) q[4];
rx(0.0036) q[0];
rz(0.7413) q[0];
rx(0.6659) q[1];
rz(0.412) q[1];
rx(1.0388) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
3752093b82ed107b6f6f5e75324b3162 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [119, 127], "expectation_value": -0.7265113137004302, "params": [[0.0666, 0.06670000000000001, 0.06670000000000001], [-0.0473, -0.0492, -0.0592]], "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0075030800754197075, 0.00790671201558345], "optimization_time": 4.8408... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.0333) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0666) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0333) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0666) q[1];
cx q[3], q[1];
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] 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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
382433756329692863 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 7, 8], [9, 3, 6, 7], [0, 1, 5, 7, 9], [1, 2], [2, 3, 4, 6, 7, 8], [0, 2, 3, 4, 5, 6, 8], [0, 1, 3, 4, 7], [9, 5, 6]]} | {"states": [755, 757], "expectation_value": -2.0194693270452206, "params": [1.5747, 1.5746, 1.8147, 1.0586, 1.5613000000000001, 1.6422, 1.5687, 1.5687, 2.4610000000000003, 0.6613, 1.5657, 1.5697, -0.20550000000000002, 0.21130000000000002, -0.9063, -0.8794000000000001, 0.5215000000000001, 2.6352, 1.5369000000000002, 1.5... | 0.13333333333333336 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.10714285714285715 * (Z(4) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.10714285714285715 * (Z(5) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(4)) + 0.13333333333333336 * (Z(7) @ Z(1)) + 0.13333333333333336 * (Z(7) @ Z(0)) + 0.11666666666666... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.073809523809524, -2.073809523809524], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0738095238095235, "smallest_bitstrings": ["0100101000", "0100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5747) q[0];
ry(1.8147) q[1];
ry(1.5613) q[2];
ry(1.5687) q[3];
ry(2.461) q[4];
ry(1.5657) q[5];
ry(-0.2055) q[6];
ry(-0.9063) q[7];
ry(0.5215) q[8];
ry(1.5369) q[9];
crx(0.9307) q[9], q[0];
crx(0.5684) q[8], q[9];
crx(-0.4518) q[7], q[8];
crx(0.0486) 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": []} |
15f9d2e4462a51d20ebd24a0edb6e4ed | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -20.554678697737682, "params": [[[-0.0024000000000000002, -0.010400000000000001], [0.005200000000000001, 0.002], [0.0151, 0.0019], [0.0049, 0.002], [0.0031000000000000003, 0.002], [0.020900000000000002, 0.0021000000000000003], [0.0043, 0.0021000000000000003], [0.082, 0.0025... | -0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + 2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(6)) + -1.25 * (Z(10) @ Z(9)) + -1.25 * (Z(10) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.25, "smallest_bitstrings": ["10000000000", "10000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0024) q[0];
ry(0.0052) q[1];
ry(0.0151) q[2];
ry(0.0049) q[3];
ry(0.0031) q[4];
ry(0.0209) q[5];
ry(0.0043) q[6];
ry(0.082) q[7];
ry(0.0064) q[8];
ry(-0.001) q[9];
ry(1.7203) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
fb9ff1397d3edf44525d6b8890478e28 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [146, 210], "expectation_value": -5.026478543411148, "params": [[[0.1811, 0.2911], [0.8107000000000001, 0.0006000000000000001], [0.8055, -0.0009000000000000001], [-0.0137, 0.3899], [0.8084, 0.0023], [0.11720000000000001, 0.33490000000000003], [0.0047, -0.396], [0.8048000000000001, -0.0005], [0.6632, -0.07400... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["000101111", "100101101", "101101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1811) q[0];
rz(0.2911) q[0];
rx(0.8107) q[1];
rz(0.0006) q[1];
rx(0.8055) q[2];
rz(-0.0009) q[2];
rx(-0.0137) q[3];
rz(0.3899) q[3];
rx(0.8084) q[4];
rz(0.0023) q[4];
rx(0.1172) q[5];
rz(0.3349) q[5];
rx(0.0047) q[6];
rz(-0.396) q[6];
rx(0.8048) 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": []} |
45c48c466e00470cf641036d69f767c9 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [4092, 4095], "expectation_value": -13.02249792412469, "params": null, "bitstrings": ["000000000011", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.1053689120352791, 0.38629024493817643], "optimization_time": 282.30475425720215} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000000000", "000000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5706) q[6], q[4];
ry(1.056) q[6];
cry(1.5708) q[4], q[5];
ry(0.3016) q[4];
cry(1.5706) q[10], q[11];
cry(1.5705) q[4], q[3];
cry(1.5681) q[9], q[7];
ry(1.... | null | {"node": 12} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) 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... |
2783967b1611213b3e7795654a08824b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [170, 186], "expectation_value": -2.9399980697100427, "params": [[[-0.0165, -0.0031000000000000003, 0.0013000000000000002, 0.0053], [0.6104, -0.012, 0.623, 0.009300000000000001], [-0.06330000000000001, -0.022000000000000002, 0.0079, -0.0173], [0.7148, 0.058100000000000006, 0.8273, 0.0025], [-0.373, 0.019, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(0) @ Z(2) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 12 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.375, "smallest_bitstrings": ["010100110", "011000101", "011000110", "010010110", "100100101", "011100100", "011001100", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0165) q[0];
rz(-0.0031) q[0];
ry(0.6104) q[1];
rz(-0.012) q[1];
ry(-0.0633) q[2];
rz(-0.022) q[2];
ry(0.7148) q[3];
rz(0.0581) q[3];
ry(-0.373) q[4];
rz(0.019) q[4];
ry(0.5156) q[5];
rz(-0.0015) q[5];
ry(0.004) q[6];
rz(0.2703) q[6];
ry(0.3715) 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": []} |
26ae20390ea3947855f3112b6a50021e | 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": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": ... | {"states": [459, 511], "expectation_value": -15.906259941281519, "params": null, "bitstrings": ["1000110100", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.09339269249960067, 0.1593643443997683], "optimization_time": 372.3774070739746} | -3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(5) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(5)) + -4.0 * (Z(8) @ Z(3)) + -4.5 * (Z(8) @ Z(1)) + -4.5 * (Z(8) @ Z(5)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(1)) + 1.0 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + -4.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[5], q[8];
cry(0.5729) q[8], q[1];
ry(-0.3653) q[5];
cry(0.304) q[8], q[5];
cry(0.0689) q[1], q[5];
cry(0.7329) q[1], q[3];
cry(0.2796) q[1], q[9];
cry(0.0357) q[8],... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[5], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
e5ad9c08c01c1ebe8aa9222d011acce6 | 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": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.06719342338711837, "params": [[0.0318], [-0.0352]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.016252491019623783, 0.01632645898260134], "optimization_time": 1.2576103210449219} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "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(-0.0159) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0636) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0318) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(-0.0159) q[4];
cx q[1], q[4];
cx q[5], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
2544224466367493703 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 6], [1, 6], [9, 6], [8, 1], [0, 4], [8, 7], [1, 4], [0, 10], [9, 5], [4, 5], [2, 3], [8, 4], [0, 2], [4, 6], [0, 3], [9, 3], [0, 8], [0, 1], [10, 5], [2, 4], [6, 7], [9, 2], [3, 5], [8, 3]]} | {"states": [715, 1332], "expectation_value": -0.31249508246956115, "params": [[-0.0844], [0.0804]], "bitstrings": ["10100110100", "01011001011"], "total_optimization_steps": 10, "probabilities": [0.000695831654555073, 0.000695831654555073], "optimization_time": 1.9556910991668701} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["01011001011", "10100110100"]} | 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[6], q[2];
rz(-0.0844) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(-0.0844) q[1];
cx q[6], q[1];
cx q[6], q[9];
rz(-0.0844) q[9];
cx q[6], q[9];
cx q[2], q[9];
rz(-0.0844... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[9];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
ef1b258390ebdcaf766a21bfe0acae0d | 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": [1670, 1669], "expectation_value": -95.00684780874874, "params": [[[0.38780000000000003, -0.0034000000000000002], [1.0638, 0.011000000000000001], [0.1265, 0.0143], [1.0705, 0.055600000000000004], [0.0057, 0.0536], [0.1154, 0.0056], [0.0601, 0.0032], [0.154, 0.0659], [0.0037, 0.387], [0.9783000000000001, 0.48... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 17.5 * Z(2) + 22.0 * Z(1) + 15.0 * Z(0) + 15.0 * Z(3) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.5, "smallest_bitstrings": ["00101111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3878) q[0];
ry(1.0638) q[1];
ry(0.1265) q[2];
ry(1.0705) q[3];
ry(0.0057) q[4];
ry(0.1154) q[5];
ry(0.0601) q[6];
ry(0.154) q[7];
ry(0.0037) q[8];
ry(0.9783) q[9];
ry(0.6035) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
ffad3b964ead217a06cbfc18be3f05e0 | 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": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 1, "tar... | {"states": [397, 236], "expectation_value": -24.343619271691484, "params": [[0.040600000000000004, -0.0027, 0.0119, 0.0086], [-0.0799, -0.0473, -0.0591, -0.0517]], "bitstrings": ["001110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.011912911503446545, 0.01859189960064164], "optimization_time":... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 7.5 * Z(0) + 14.0 * Z(2) + 5.5 * Z(3) + 5.... | 1 | 9 | 4 | {"smallest_eigenvalues": [-70.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "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(0.3654) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3654) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3654) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3654) q[3];
cx q[0], 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
c50c35688e3077b743569b2e8fe6823e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [272, 280], "expectation_value": -6.411719018993201, "params": [0.5938, 0.5969, 0.0555, 0.0575, 0.0656, 0.0567, 0.004, 0.008, 0.5962000000000001, 0.6007, 0.4918, 0.48600000000000004, 0.002, 0.0044, -0.0086, -0.001, 0.0027, -0.0016, 0.5959, 0.6032000000000001, 0.056100000000000004, 0.0494, 0.0575, 0.065200000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.0, "smallest_bitstrings": ["001101111", "011110011", "010101111", "111100110", "011100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5938) q[0];
ry(0.0555) q[1];
ry(0.0656) q[2];
ry(0.004) q[3];
ry(0.5962) q[4];
ry(0.4918) q[5];
ry(0.002) q[6];
ry(-0.0086) q[7];
ry(0.0027) q[8];
crz(0.3488) q[8], q[0];
crz(-0.241) q[7], q[8];
crz(0.354) q[6], q[7];
crz(-0.0038) q[5], q[6];
crz(-0.0008)... | 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": []} |
c1a7889649f2eea9d14476ba3ced04aa | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [374, 310], "expectation_value": -76.60289071939442, "params": [[[0.8938, 0.0039000000000000003], [0.6921, -0.0043], [-0.0755, 0.0094], [0.4016, -0.13090000000000002], [0.5226000000000001, 0.7077], [0.3241, 0.6873], [0.0835, 0.4451], [-0.23140000000000002, 0.8976000000000001], [0.2414, 0.6216], [0.7619, -0.1... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(7) @ Z(8)) + 2.5 * Z(0) + 5.5 * Z(1) + 5.0 * Z(3) + 9.5 * Z(4) + -4.5 * Z(6) + 1.5 * Z(5) + 8.0 * Z(9) + 14.0 * Z(8) + 9.0 * Z(7) + -11... | 15 | 10 | 4 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1011001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8938) q[0];
ry(0.6921) q[1];
ry(-0.0755) q[2];
ry(0.4016) q[3];
ry(0.5226) q[4];
ry(0.3241) q[5];
ry(0.0835) q[6];
ry(-0.2314) q[7];
ry(0.2414) q[8];
ry(0.7619) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
a61196a27e9d77181b30595d54711c88 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -17.078545610539916, "params": [0.0004, -0.10070000000000001, 0.002, -0.09620000000000001, 0.0025, -0.1409, 0.0059, -0.1531, 0.0026000000000000003, -0.1517, 0.0054, -0.14100000000000001, 0.0059, -0.1368, 0.0009000000000000001, -0.1476, 0.0032, -0.14300000000000002, 0.0044, -0.150... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.75 * (Z(7) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0004) q[0];
rz(-0.1007) q[0];
rx(0.0025) q[1];
rz(-0.1409) q[1];
rx(0.0026) q[2];
rz(-0.1517) q[2];
rx(0.0059) q[3];
rz(-0.1368) q[3];
rx(0.0032) q[4];
rz(-0.143) q[4];
rx(0.0061) q[5];
rz(-0.1379) q[5];
rx(0.0048) q[6];
rz(-0.1462) q[6];
rx(0.0021) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
451f2781d0b517cc8e7245db9d9e73f5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 8}, {"weight": 14, "source": 1, "target": 7}, {"weight":... | {"states": [430, 426], "expectation_value": -88.22943873195156, "params": [0.6976, 0.12840000000000001, 0.7001000000000001, 0.078, 0.47190000000000004, -0.1252, 0.4642, 0.0849, 0.684, 0.009000000000000001, 0.676, 0.045000000000000005, 0.10250000000000001, -0.1545, 0.3396, -0.0053, 0.6913, -0.0046, 0.6849000000000001, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(8)) + 18.0 * Z(1) ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6976) q[0];
rz(0.1284) q[0];
rx(0.4719) q[1];
rz(-0.1252) q[1];
rx(0.684) q[2];
rz(0.009) q[2];
rx(0.1025) q[3];
rz(-0.1545) q[3];
rx(0.6913) q[4];
rz(-0.0046) q[4];
rx(0.1164) q[5];
rz(-0.0935) q[5];
rx(0.6856) q[6];
rz(-0.0561) q[6];
rx(0.4054) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
-562739684955873209 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 3], [0, 4], [1, 2, 3]]} | {"states": [28, 26], "expectation_value": -0.06284354366594638, "params": [[-0.11570000000000001], [0.11570000000000001]], "bitstrings": ["00011", "00101"], "total_optimization_steps": 20, "probabilities": [0.034586055907616556, 0.03458605590761656], "optimization_time": 1.1345207691192627} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * Z(2) + 0.16666666666666663 * Z(0) + 0.3333333333333333 * Z(3) + 0.0 * Z(4) + 0.166666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1666666666666665, "smallest_bitstrings": ["00101"]} | 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[2], q[0];
rz(-0.0386) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0771) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0386) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.1157) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.0386) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0... | null | {"circuits": [], "gradients": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -5.998211351150566, "params": null, "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 43, "probabilities": [0.06462233070086883, 0.9336041138231552], "optimization_time": 50.803887605667114} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(1.5681) q[6];
ry(1.4449) q[5];
cry(-1.568) q[6], q[0];
cry(-1.448) q[6], q[1];
cry(1.4402) q[5], q[2];
cry(-1.029) q[4], q[3];
cry(0.706) q[6], q[4];
cry(-0.4587) q[6], q[3];
c... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [21, 49], "expectation_value": -0.24586247247174062, "params": [[0.0625, 0.0413, 0.041800000000000004, 0.0733], [-0.07150000000000001, -0.045000000000000005, -0.028200000000000003, -0.048400000000000006]], "bitstrings": ["101010", "001110"], "total_optimization_steps": 10, "probabilities": [0.021683746485257... | 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)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0312) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0312) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0312) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0312) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9994d9c0864e8ab88d6d9169e088b46e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [237, 122], "expectation_value": -23.85722838057859, "params": null, "bitstrings": ["00010010", "10000101"], "total_optimization_steps": 100, "probabilities": [0.0758429124261387, 0.08437980097930395], "optimization_time": 149.5247941017151} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(7.7632) q[3];
ry(22.4081) q[2];
ry(-16.7951) q[6];
ry(-0.703) q[1];
cry(-50.9499) q[3], q[2];
cry(6.8919) q[6], q[2];
ry(18.2395) q[0];
cry(-40.388) q[3], q[1];
cry(-43.5144) q[6], q[1];
ry(-0.... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) 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[... |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [19, 37], "expectation_value": -0.27223217162038404, "params": [[0.0655, 0.0514], [-0.0719, -0.044000000000000004]], "bitstrings": ["1101100", "1011010"], "total_optimization_steps": 10, "probabilities": [0.00990222464542658, 0.009902224645426588], "optimization_time": 2.8805348873138428} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011011", "0110101", "1100101", "0010111", "1011010", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0655) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(0.0655) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.0655) q[1];
cx q[2], q[1];
cx q[1], q[5];
rz(0.0655) q[5];
cx q[1], q[5];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} |
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