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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7315cffe0b5dede12a8ac7922de6354f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7292, 7420], "expectation_value": -43.882375343756294, "params": [0.656, 0.2048, -0.7793, 0.0366, -0.7811, -0.0013000000000000002, 0.0011, 0.27790000000000004, -0.004200000000000001, -0.6317, 0.46880000000000005, 0.1766, 0.7599, 0.015600000000000001, 0.7411, 0.0076, 0.7609, 0.0195, 0.7821, -0.0019, 0.7943, ... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 18 | 13 | 4 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.656) q[0];
rz(0.2048) q[0];
rx(-0.7793) q[1];
rz(0.0366) q[1];
rx(-0.7811) q[2];
rz(-0.0013) q[2];
rx(0.0011) q[3];
rz(0.2779) q[3];
rx(-0.0042) q[4];
rz(-0.6317) q[4];
rx(0.4688) q[5];
rz(0.1766) q[5];
rx(0.7599) q[6];
rz(0.0156) q[6];
rx(0.7411) 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": 4} | {"circuits": [], "gradients": []} |
678e5b6728537a89b2ea3ed55a2f826e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [106, 362], "expectation_value": -5.511166104760055, "params": [0.101, 0.1008, 0.7872, 0.7894, -0.0038, -0.0035, 0.7999, 0.7965, 0.8012, 0.8013, 0.038400000000000004, 0.0014, 0.811, 0.8028000000000001, 0.0016, 0.00030000000000000003, 0.8026000000000001, 0.8074, 0.2617, 0.2695, 0.1797, 0.4761, 0.457, 0.2963, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["0101100110", "1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.101) q[0];
ry(0.7872) q[1];
ry(-0.0038) q[2];
ry(0.7999) q[3];
ry(0.8012) q[4];
ry(0.0384) q[5];
ry(0.811) q[6];
ry(0.0016) q[7];
ry(0.8026) q[8];
ry(0.2617) q[9];
crx(0.1797) q[9], q[0];
crx(-0.215) q[8], q[9];
crx(-0.295) q[7], q[8];
crx(0.0012) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
11a7b77c76c4b7bf9453251e9cd95b58 | 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": [1464, 1456], "expectation_value": -105.97908152347905, "params": [1.399, 0.20700000000000002, 0.7808, 0.40290000000000004, 1.3996000000000002, 0.0176, 1.4060000000000001, -0.30360000000000004, 0.28090000000000004, -0.6289, 1.4026, -0.0019, 1.4015, 0.1925, 0.8205, 0.3378, 0.0027, -1.0142, 0.0027, -0.8604, 0.... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(3)) + 20.0 * Z(0... | 18 | 11 | 2 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.0, "smallest_bitstrings": ["01001001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.399) q[0];
rz(0.207) q[0];
rx(0.7808) q[1];
rz(0.4029) q[1];
rx(1.3996) q[2];
rz(0.0176) q[2];
rx(1.406) q[3];
rz(-0.3036) q[3];
rx(0.2809) q[4];
rz(-0.6289) q[4];
rx(1.4026) q[5];
rz(-0.0019) q[5];
rx(1.4015) q[6];
rz(0.1925) q[6];
rx(0.8205) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [1, 9], "expectation_value": -4.6330233119459505, "params": [[[0.1285, 0.1799], [0.47900000000000004, -0.0012000000000000001], [0.08660000000000001, -0.1985], [0.2644, -0.10600000000000001], [0.5021, -0.0025]], [[0.1303, 0.1799], [0.47790000000000005, -0.0013000000000000002], [0.08700000000000001, -0.1985], ... | 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)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.1285) q[0];
rz(0.1799) q[0];
rx(0.479) q[1];
rz(-0.0012) q[1];
rx(0.0866) q[2];
rz(-0.1985) q[2];
rx(0.2644) q[3];
rz(-0.106) q[3];
rx(0.5021) q[4];
rz(-0.0025) q[4];
rx(0.1303) q[0];
rz(0.1799) q[0];
rx(0.4779) q[1];
rz(-0.0013) q[1];
rx(0.087) 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[... | {"k": 3} | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [32, 33], "expectation_value": -3.0395469602056053, "params": [[[0.8081, -0.0019], [-0.0155, 0.3909], [0.19190000000000002, -0.3083], [0.2079, 0.28800000000000003], [-0.011600000000000001, -0.3961], [0.8095, -0.0026000000000000003]], [[0.8104, 0.006500000000000001], [-0.0151, 0.0036000000000000003], [0.198, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.8081) q[0];
rz(-0.0019) q[0];
rx(-0.0155) q[1];
rz(0.3909) q[1];
rx(0.1919) q[2];
rz(-0.3083) q[2];
rx(0.2079) q[3];
rz(0.288) q[3];
rx(-0.0116) q[4];
rz(-0.3961) q[4];
rx(0.8095) q[5];
rz(-0.0026) q[5];
rx(0.8104) q[0];
rz(0.0065) q[0];
rx(-0.0151) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
236eee02726333745789aca07c73fbad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 30], "expectation_value": -9.74148409989255, "params": [0.3236, 0.5106, -0.4423, 1.1975, 0.3098, 0.4063, -0.6505000000000001, 1.5878, 0.558, 1.124, -0.5377000000000001, 1.153, 0.5333, 1.3008, -0.1496, 1.1792, -0.5681, -0.18680000000000002, -0.531, 0.44920000000000004, 0.1227, 0.9843000000000001, -0.0526,... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.3236) q[0];
rz(0.5106) q[0];
rx(0.3098) q[1];
rz(0.4063) q[1];
rx(0.558) q[2];
rz(1.124) q[2];
rx(0.5333) q[3];
rz(1.3008) q[3];
rx(-0.5681) q[4];
rz(-0.1868) q[4];
crx(0.2219) q[4], q[3];
crx(0.7486) q[4], q[2];
crx(-0.0262) q[4], q[1];
crx(0.2847) 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[... | {"node": 4} | {"circuits": [], "gradients": []} |
253d3995de007ce15800f0023018551d | 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": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.15930499177868, "params": [-0.0041, 0.23240000000000002, 0.0046, 0.305, 0.0035, 0.2847, 0.0024000000000000002, 0.2983, 0.0012000000000000001, -0.2625, 0.0022, 0.3151, 0.4047, 0.0032, -0.0023, 0.2624, 0.0002, 0.3146, 0.0017000000000000001, 0.248, 0.0022, 0.31370000000000003, 0.... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0041) q[0];
rz(0.2324) q[0];
rx(0.0046) q[1];
rz(0.305) q[1];
rx(0.0035) q[2];
rz(0.2847) q[2];
rx(0.0024) q[3];
rz(0.2983) q[3];
rx(0.0012) q[4];
rz(-0.2625) q[4];
rx(0.0022) q[5];
rz(0.3151) q[5];
rx(0.4047) q[6];
rz(0.0032) q[6];
crz(-0.0023) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
1eb497453685e0a5de2e6411992ed720 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [353, 481], "expectation_value": -5.060026808580806, "params": [0.0017000000000000001, 0.0018000000000000002, 1.5678, 1.5689000000000002, 0.8448, 0.8480000000000001, 1.5883, 1.5885, 1.5743, 1.5769, 0.011600000000000001, -0.0049, -0.0032, -0.0032, -0.0206, -0.019200000000000002, -0.0023, -0.0023, 1.5751000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + -1.0 * Z(2) + -0.5 * Z(0) + 0.0 * Z(1) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(... | 13 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000011110", "1001011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0017) q[0];
ry(1.5678) q[1];
ry(0.8448) q[2];
ry(1.5883) q[3];
ry(1.5743) q[4];
ry(0.0116) q[5];
ry(-0.0032) q[6];
ry(-0.0206) q[7];
ry(-0.0023) q[8];
ry(1.5751) q[9];
crz(-0.002) q[9], q[0];
crz(-1.0034) q[8], q[9];
crz(1.2242) q[7], q[8];
crz(1.0332) ... | 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": []} |
834390fba4c480def6c6a26217d7a9af | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -10.499999938947196, "params": null, "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 26, "probabilities": [4.003266179411504e-08, 0.999999957628926], "optimization_time": 24.43151044845581} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[1];
ry(1.5708) q[6];
ry(-1.5708) q[0];
cry(-1.5708) q[1], q[4];
ry(-1.5486) q[2];
ry(-1.5708) q[3];
ry(-1.4449) q[5];
cry(-0.1188) q[1], q[5];
cry(-0.0222) q[1], q[2];
cry(-0.0001) q[1], 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(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [237, 236], "expectation_value": -1.6266615598803438, "params": [0.9057000000000001, -0.0088, 0.897, 0.0, 0.9062, 0.0002, -0.0018000000000000002, 0.5482, 0.8995000000000001, 0.0012000000000000001, 0.9034000000000001, 0.0035, -0.0019, 0.619, 0.6917, -0.0921, 0.9104000000000001, 0.0037, 0.9011, 0.0089, 0.90770... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9057) q[0];
rz(-0.0088) q[0];
rx(0.897) q[1];
rz(0) q[1];
rx(0.9062) q[2];
rz(0.0002) q[2];
rx(-0.0018) q[3];
rz(0.5482) q[3];
rx(0.8995) q[4];
rz(0.0012) q[4];
rx(0.9034) q[5];
rz(0.0035) q[5];
rx(-0.0019) q[6];
rz(0.619) q[6];
rx(0.6917) q[7];
rz(-0.092... | 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": []} |
b301caa8ee54d69b7ea37306c72194d5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [214, 118], "expectation_value": -16.938614049393912, "params": [[0.0085, 0.0131, 0.0111, -0.0017000000000000001], [-0.029900000000000003, -0.0461, -0.049100000000000005, -0.046700000000000005]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010315025886668308, 0... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(0.0765) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.0765) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(0.0765) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(0.0765) q[2];
cx q[0], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
8bcc18192d0165790ce11c08d4658dbf | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [120, 248], "expectation_value": -3.575214753094979, "params": [0.8011, 0.1174, 0.797, 0.0097, 0.8077000000000001, 0.1232, 0.8037000000000001, 0.0054, 0.808, 0.1403, 0.803, 0.0045000000000000005, 0.8125, 0.1521, 0.8119000000000001, 0.0067, 0.8057000000000001, 0.1529, 0.8078000000000001, 0.0003000000000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(5) + -1.0 * Z(0) + -1.5 * Z(6) + -1.0 * Z(7) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8011) q[0];
rz(0.1174) q[0];
rx(0.8077) q[1];
rz(0.1232) q[1];
rx(0.808) q[2];
rz(0.1403) q[2];
rx(0.8125) q[3];
rz(0.1521) q[3];
rx(0.8057) q[4];
rz(0.1529) q[4];
rx(-0.0075) q[5];
rz(0.4472) q[5];
rx(-0.0102) q[6];
rz(-0.3922) q[6];
rx(0.1905) 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": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | 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": 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": -3.1542913354289164, "params": [[0.1635, 0.1651], [-0.1544, -0.1626]], "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 20, "probabilities": [0.018238207818004656, 0.01823820781800467], "optimization_time": 5.164532423019409} | 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 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(0.1635) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.1635) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.1635) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.1635) q[2];
cx q[5], q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | 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": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 3, "target": 5}, {"weight": 1, "... | {"states": [1322, 1386], "expectation_value": -0.03509510857671793, "params": [1.4077000000000002, 0.0015, 1.7144000000000001, 0.007, 1.3819000000000001, 0.0043, 1.7326000000000001, 0.004, 1.4858, 0.0064, 1.6457000000000002, 0.0068000000000000005, 1.7378, 0.0098, 1.385, 0.0077, 1.7149, 0.0068000000000000005, 1.4105, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0015 * (Z(2) @ Z(0)) + -0.0015 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0005000000000000001 * (Z(4) @ Z(0)) + -0.0020000000000000005 * (Z(4) @ Z(2)) + 0.0005000000000000001 * (Z(5) @ Z(1)) + -0.0020000000000000005 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005000000000000001 * (Z(6) @ Z(0))... | 3 | 12 | 1 | {"smallest_eigenvalues": [-1.519499999999999, -1.519499999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5154999999999998, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.4077) q[0];
rz(0.0015) q[0];
rx(1.7144) q[1];
rz(0.007) q[1];
rx(1.3819) q[2];
rz(0.0043) q[2];
rx(1.7326) q[3];
rz(0.004) q[3];
rx(1.4858) q[4];
rz(0.0064) q[4];
rx(1.6457) q[5];
rz(0.0068) q[5];
rx(1.7378) q[6];
rz(0.0098) q[6];
rx(1.385) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
ad41155c2cfbb6d9d884fbedda702946 | 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": [363, 357], "expectation_value": -91.19774518783514, "params": [[[1.3942, 0.1729], [0.0631, 0.17200000000000001], [1.2596, 0.22080000000000002], [0.24760000000000001, 0.3901], [0.28190000000000004, 0.7647], [0.16570000000000001, 0.0246], [0.21430000000000002, 0.7982], [0.1557, 0.3486], [0.0161, 1.3943], [0.0... | 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(1) @ Z(10)) + 15.0 * Z(2) + 14.0 * Z(4) + 3.5 * Z(3) + 1.0 * Z(6) + ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["11010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.3942) q[0];
ry(0.0631) q[1];
ry(1.2596) q[2];
ry(0.2476) q[3];
ry(0.2819) q[4];
ry(0.1657) q[5];
ry(0.2143) q[6];
ry(0.1557) q[7];
ry(0.0161) q[8];
ry(0.0676) q[9];
ry(-0.4236) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-5496995726423767974 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 4], [3, 4]]} | {"states": [4, 5], "expectation_value": -0.008045828456856405, "params": [[[1.4916, 0.003], [1.4812, 0.0027], [1.6456000000000002, 0.0081], [1.4931, 0.0039000000000000003], [1.6308, 0.0034000000000000002]]], "bitstrings": ["11011", "11010"], "total_optimization_steps": 170, "probabilities": [0.039999293986984645, 0.045... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["01001", "00101", "11010", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(1.4916) q[0];
rz(0.003) q[0];
rx(1.4812) q[1];
rz(0.0027) q[1];
rx(1.6456) q[2];
rz(0.0081) q[2];
rx(1.4931) q[3];
rz(0.0039) q[3];
rx(1.6308) q[4];
rz(0.0034) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
9cd61de466d87c99ffcd4d9aaf27361b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"sour... | {"states": [255, 248], "expectation_value": -1.4101747861775362, "params": [[-0.0692], [0.0718]], "bitstrings": ["00000000", "00000111"], "total_optimization_steps": 10, "probabilities": [0.005720718172024811, 0.0061331131334625534], "optimization_time": 0.8998496532440186} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.346) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.1384) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2768) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.2768) q[2];
cx q[1], q[2];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[4]... | {"node": 7} | {"circuits": [], "gradients": []} |
231c6eb4e7cbdb3201d2afdbe0b8fff4 | 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": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [0, 4091], "expectation_value": -7.848408060667344, "params": [0.08660000000000001, 0.5979, -0.057100000000000005, 0.2617, 0.5594, 0.42800000000000005, -0.3365, 0.2363, 0.6565000000000001, 0.331, -0.2503, 0.38970000000000005, 0.7283000000000001, 0.1396, 0.28550000000000003, 0.039400000000000004, 0.7253000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (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(5) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(11)... | 6 | 12 | 2 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0866) q[0];
rz(0.5979) q[0];
rx(0.5594) q[1];
rz(0.428) q[1];
rx(0.6565) q[2];
rz(0.331) q[2];
rx(0.7283) q[3];
rz(0.1396) q[3];
rx(0.7253) q[4];
rz(0.2922) q[4];
rx(0.7119) q[5];
rz(0.7392) q[5];
rx(0.7068) q[6];
rz(0.7609) q[6];
rx(0.7072) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} |
5985963686351180530 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 3, 4, 5, 6, 9, 10], [0, 1, 12, 8], [0, 2, 12], [0, 5, 6, 9, 12], [2, 5, 6, 7, 8, 9], [8, 4, 12], [3, 12, 5], [2, 6, 8, 10, 11], [0, 1, 3, 4, 8, 11], [0, 2, 6, 8, 11], [0, 2, 4, 5, 11], [0, 11, 12], [0, 12, 7], [9, 11], [0, 3, 5, 6, 7, 9, 10], [... | {"states": [3555, 3559], "expectation_value": -5.924561294009542, "params": [0.0021000000000000003, 0.002, 1.2354, 1.9112, 1.4647000000000001, 1.6859000000000002, 1.8937000000000002, 1.2455, 1.5507, 1.586, 1.2537, 1.8922, 2.1969000000000003, 0.9384, 1.61, 1.5293, -0.19690000000000002, 0.2011, -0.0027, -0.0028, 0.758400... | 0.3678571428571428 * (Z(0) @ Z(2)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.15833333333333333 * (Z(3) @ Z(0)) + 0.10119047619047619 * (Z(4) @ Z(2)) + 0.20833333333333334 * (Z(4) @ Z(0)) + 0.13452380952380952 * (Z(4) @ Z(3)) + 0.10119047619047619 * (Z(5) @ Z(2)) + 0.16547619047619047 * (Z(5) @ Z(0)) + 0.20833333333333... | 14 | 13 | 1 | {"smallest_eigenvalues": [-6.029761904761904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.960714285714288, "smallest_bitstrings": ["1001000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0021) q[0];
ry(1.2354) q[1];
ry(1.4647) q[2];
ry(1.8937) q[3];
ry(1.5507) q[4];
ry(1.2537) q[5];
ry(2.1969) q[6];
ry(1.61) q[7];
ry(-0.1969) q[8];
ry(-0.0027) q[9];
ry(0.7584) q[10];
ry(1.0776) q[11];
ry(1.5736) q[12];
crx(0.0022) q[12], q[0];
crx(0.742... | 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": []} |
e0669582681ae5929d51416018b30292 | 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": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [340, 468], "expectation_value": -3.0553718729427803, "params": [1.6003, 0.0023, 1.5998, 0.0095, 1.6073000000000002, 0.0099, 0.14200000000000002, 0.00030000000000000003, 1.6109, 0.0091, 0.5501, 0.0027, 1.6017000000000001, 0.0019, 0.0018000000000000002, 0.005, 0.5703, 0.0066, 0.009300000000000001, 0.0064, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(7) + -0.5 * Z(8) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) + -0.... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["000110011", "000101011", "100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6003) q[0];
rz(0.0023) q[0];
rx(1.5998) q[1];
rz(0.0095) q[1];
rx(1.6073) q[2];
rz(0.0099) q[2];
rx(0.142) q[3];
rz(0.0003) q[3];
rx(1.6109) q[4];
rz(0.0091) q[4];
rx(0.5501) q[5];
rz(0.0027) q[5];
rx(1.6017) q[6];
rz(0.0019) q[6];
rx(0.0018) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-5158734754257538344 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 5], [1, 4, 5, 7], [0, 2, 4, 5], [3, 4, 6, 7], [1, 3, 5, 6], [0, 7], [2, 4, 7], [2, 6], [0, 3, 4, 5], [0, 1, 4], [2, 3, 5, 7]]} | {"states": [109, 79], "expectation_value": -2.75327988147428, "params": null, "bitstrings": ["10010010", "10110000"], "total_optimization_steps": 50, "probabilities": [0.06977927398012386, 0.8407664958380415], "optimization_time": 91.26409101486206} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["10110000"]} | 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(1.5592) q[4];
ry(1.4449) q[5];
cry(-1.1392) q[7], q[0];
ry(0.8075) q[7];
cry(-1.1258) q[6], q[2];
ry(0.7881) q[6];
cry(-0.5369) q[5], q[2];
cry(0.4978) q[4], q[6];
cry(-0.4897) q[4], q[0];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5592) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
d95b68826fd82a56bc7a64742cbebcc0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [138, 170], "expectation_value": -5.286748084732192, "params": [0.6841, -0.0937, 0.6839000000000001, 0.0068000000000000005, 0.9015000000000001, 0.0016, 0.9085000000000001, 0.0025, -0.0024000000000000002, 0.5313, -0.0024000000000000002, 0.0022, 0.8129000000000001, 0.25570000000000004, 0.8108000000000001, 0.00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101010101", "001010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6841) q[0];
rz(-0.0937) q[0];
rx(0.9015) q[1];
rz(0.0016) q[1];
rx(-0.0024) q[2];
rz(0.5313) q[2];
rx(0.8129) q[3];
rz(0.2557) q[3];
rx(-0.0061) q[4];
rz(-0.4653) q[4];
rx(0.9075) q[5];
rz(-0.0219) q[5];
rx(-0.0029) q[6];
rz(0.5342) q[6];
rx(0.8893) 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": []} |
7c13ad0365481b8f4c94fe0692e944b8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [74, 106], "expectation_value": -2.7341233255386435, "params": [[-0.0028, 1.5693000000000001, 0.26, 0.022600000000000002, 1.5264, -0.0024000000000000002, 1.5751000000000002, 0.002], [0.0034000000000000002, 1.5789, 1.6133000000000002, 1.5214, 1.596, -0.0025, 1.5793000000000001, 0.0049]], "bitstrings": ["10110... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 10 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10100101", "10010101", "10001101", "11010100", "01010110", "10011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0028) q[0];
ry(1.5693) q[1];
ry(0.26) q[2];
ry(0.0226) q[3];
ry(1.5264) q[4];
ry(-0.0024) q[5];
ry(1.5751) q[6];
ry(0.002) 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];
cz q[0], q[7];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
d92b7c12d97dc605feea13254bd8dff9 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [41, 9], "expectation_value": -1.5170238415372634, "params": [[-0.0789, -0.0796, -0.0828], [0.0775, 0.07680000000000001, 0.0777]], "bitstrings": ["1010110", "1110110"], "total_optimization_steps": 10, "probabilities": [0.021811928597117763, 0.0219065413989685], "optimization_time": 5.788404226303101} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "1110100"]} | 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(0.0789) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0789) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0789) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(0.0789) q[4];
cx q[2], q[4];
cx q[1], 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": 6} | {"circuits": [], "gradients": []} |
3928736435664331732 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [1, 2, 3, 5, 6], [0, 2, 3, 4, 5, 7], [0, 1, 3, 4, 5, 7], [0, 2, 3, 5, 6, 7], [1, 2, 5, 6, 7], [1, 4, 6], [0, 1, 2, 3, 5]]} | {"states": [125, 243], "expectation_value": -1.2750970182689594, "params": [[0.5657], [-0.385]], "bitstrings": ["10000010", "00001100"], "total_optimization_steps": 60, "probabilities": [0.015886111483152884, 0.015969691634157124], "optimization_time": 3.3393986225128174} | 0.2333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.19999999999999998 * (Z(1) @ Z(4)) + 0.13333333333333336 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666669 * (Z(2) @ Z(3)) + 0.13333333333333336 * (Z(2) @ Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8000000000000007, "smallest_bitstrings": ["00001100"]} | 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(0.264) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(0.3771) q[6];
cx q[4], q[6];
cx q[3], q[6];
rz(0.2828) q[6];
cx q[3], q[6];
cx q[4], q[1];
rz(0.2263) q[1];
cx q[4], q[1];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d8ac2df33e959b7f950f3684ced85f9e | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "ta... | {"states": [78, 70], "expectation_value": -2.919443803162621, "params": [[[-0.0029000000000000002, 0.0036000000000000003], [2.5119000000000002, 0.0037], [0.0024000000000000002, 0.0006000000000000001], [-0.0025, 0.008400000000000001], [1.4879, 0.0026000000000000003], [2.4955000000000003, 0.0058000000000000005], [2.4948,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(0) + -0.25 * Z(1) + -0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["01110101", "10111010", "10110011", "10110101", "10111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0029) q[0];
rz(0.0036) q[0];
rx(2.5119) q[1];
rz(0.0037) q[1];
rx(0.0024) q[2];
rz(0.0006) q[2];
rx(-0.0025) q[3];
rz(0.0084) q[3];
rx(1.4879) q[4];
rz(0.0026) q[4];
rx(2.4955) q[5];
rz(0.0058) q[5];
rx(2.4948) q[6];
rz(0.0027) q[6];
rx(-0.0031) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
4956b44a15796d9b5317bf40a3232de2 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [60, 63], "expectation_value": -0.3498184210037012, "params": [[-0.030100000000000002], [0.042100000000000005]], "bitstrings": ["111000011", "111000000"], "total_optimization_steps": 10, "probabilities": [0.00227431427906878, 0.002297147741049739], "optimization_time": 1.552469253540039} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111000000"]} | 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(0.1204) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1204) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0602) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(0.1204) q[3];
cx q[4], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1... | {"node": 2} | {"circuits": [], "gradients": []} |
9f77d03a8f386682db4c484c77237fc0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"s... | {"states": [0, 31], "expectation_value": -7.277351545933563, "params": [[-0.0713], [0.0692]], "bitstrings": ["1111111111111", "1111111100000"], "total_optimization_steps": 10, "probabilities": [0.0004270678123506289, 0.00045391700471953224], "optimization_time": 45.90653896331787} | -3.5 * (Z(0) @ Z(3)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -4.0 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(4)) + 1.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -4.5 * (Z(1) @ Z(4)) + -4.0 * (Z(1) @ Z(5)) + -4.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + 1.5 * (Z(2) @ Z(4)) + 1.5 * (Z(2) @ Z(5)) + -4.0 ... | 10 | 13 | 1 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["1111111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[3], q[0];
rz(0.4991) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.4991) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.4991) q[4];
cx q[0], q[4];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
... | {"node": 3} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [494, 238], "expectation_value": -4.424768275216715, "params": [0.7439, -0.4071, 1.4471, -0.2121, 1.0856000000000001, -0.19410000000000002, 1.4578, 0.2391, 0.6643, 0.44780000000000003, 1.4563000000000001, 0.029400000000000003, 1.0329000000000002, -0.2781, 1.4609, -0.24500000000000002, 0.7426, -0.4213, 0.7473... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7439) q[0];
rz(-0.4071) q[0];
rx(1.4471) q[1];
rz(-0.2121) q[1];
rx(1.0856) q[2];
rz(-0.1941) q[2];
rx(1.4578) q[3];
rz(0.2391) q[3];
rx(0.6643) q[4];
rz(0.4478) q[4];
rx(1.4563) q[5];
rz(0.0294) q[5];
rx(1.0329) q[6];
rz(-0.2781) q[6];
rx(1.4609) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
a8cb958af377872a19dc800d4cc03b57 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [954, 1023], "expectation_value": -19.633301902581984, "params": null, "bitstrings": ["0001000101", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.06999519145725679, 0.36658001108365146], "optimization_time": 195.4373435974121} | -3.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(4)) + -2.5 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -2.5 * (Z(1) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -2.5 * (Z(2) @ Z(7)) + ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[0], q[3];
cry(1.5668) q[3], q[4];
cry(1.2796) q[4], q[1];
cry(1.2247) q[3], q[5];
cry(0.6259) q[5], q[0];
cry(0.2429) q[3], q[0];
cry(1.6062) q[4], q[3];
ry(-0.1742... | null | {"node": 3} | {"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[0], 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] = measu... |
e4d024b1ac0c063adb5f497e44a53780 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 8}, {"weight": 11, "source": 1, "target": 6}, {"weight": 8, "source... | {"states": [114, 112], "expectation_value": -48.06347398609628, "params": [[[0.028, -0.9662000000000001], [0.0026000000000000003, 1.4812], [1.5666, 0.0018000000000000002], [1.5725, -0.0032], [1.5714000000000001, -0.0036000000000000003], [-0.0083, 0.9670000000000001], [0.0026000000000000003, -1.1335], [0.756300000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + -13.0 * Z(1) + -3.0 * Z(0) + -0.5 * Z(2) + 3.0 * Z(4) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["110001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.028) q[0];
rz(-0.9662) q[0];
rx(0.0026) q[1];
rz(1.4812) q[1];
rx(1.5666) q[2];
rz(0.0018) q[2];
rx(1.5725) q[3];
rz(-0.0032) q[3];
rx(1.5714) q[4];
rz(-0.0036) q[4];
rx(-0.0083) q[5];
rz(0.967) q[5];
rx(0.0026) q[6];
rz(-1.1335) q[6];
rx(0.7563) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
74c477dbe35486055f0a39f50499e44b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [852, 854], "expectation_value": -1.4005398355454621, "params": [[[0.27790000000000004, 0.0303], [0.499, 0.060500000000000005], [0.2084, 0.030100000000000002], [0.46790000000000004, -0.0195], [0.0361, -0.0487], [0.49910000000000004, 0.2826], [0.4838, 0.2569], [0.26880000000000004, 0.5008], [0.4811, 0.5004000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.25, "smallest_bitstrings": ["0011100100", "1000001011", "0010011001", "0010110001", "0010101001", "0010100101", "0001011010", "0001101010", "000... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2779) q[0];
ry(0.499) q[1];
ry(0.2084) q[2];
ry(0.4679) q[3];
ry(0.0361) q[4];
ry(0.4991) q[5];
ry(0.4838) q[6];
ry(0.2688) q[7];
ry(0.4811) q[8];
ry(0.1967) 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[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-9001172058205603076 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [0, 3], [1, 5], [0, 1], [2, 6], [0, 6], [4, 6], [1, 4], [2, 3], [1, 3], [3, 6]]} | {"states": [67, 78], "expectation_value": -3.088972015444797, "params": null, "bitstrings": ["0111100", "0110001"], "total_optimization_steps": 46, "probabilities": [0.042474454309795295, 0.8260796653431047], "optimization_time": 52.26446175575256} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001110", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[3], q[6];
cry(-1.0342) q[5], q[1];
ry(1.0293) q[3];
cry(1.4052) q[3], q[4];
cry(-0.9035) q[4], q[6];
cry(-0.7688) q[3], q[1];
ry(1.2466) q[5];
cry(1.4015) q[5], q[0];
cry(-1.3922) q[0], q[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];\ncry(-1.0342) q[3], 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... |
34fec832591d56601cbd146a15fec9ed | 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": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -23.792319446139665, "params": null, "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.17065210880582868, 0.1899243564462108], "optimization_time": 193.9893777370453} | 4.0 * (Z(0) @ 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(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-3.4097) q[3];
ry(21.0543) q[2];
cry(-43.1702) q[2], q[3];
ry(14.4209) q[1];
ry(18.1586) q[4];
cry(-55.7026) q[1], q[3];
cry(28.9006) q[1], q[2];
ry(20.8652) q[0];
cry(10.9) q[1], q[4];
cry(8.6... | null | {"matching": "maximum", "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(-3.4097) 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... |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [8, 14], "expectation_value": -2.4999718231256973, "params": null, "bitstrings": ["0111", "0001"], "total_optimization_steps": 16, "probabilities": [1.3834265383317198e-05, 0.9999858819924374], "optimization_time": 5.380322217941284} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[0];
ry(1.4449) q[1];
cry(0.1187) q[1], q[2];
cry(0.1188) q[2], q[0];
cry(0.1186) q[0], q[1];
cry(-0.0027) q[2], q[3];
cry(0.0072) q[0], q[2];
cry(0.0067) q[1], q[0];
cry(0.0067) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
42431c1c8039d047c82f7ec388df22d2 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.800381262272015, "params": [0.0004, 0.2396, -0.0017000000000000001, 0.2401, 0.0026000000000000003, 0.30960000000000004, 0.0012000000000000001, 0.3125, 0.4035, 0.0043, 0.40590000000000004, -0.005200000000000001, -0.0002, 0.21630000000000002, 0.0054, 0.2918, 0.0035, 0.2434, 0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @... | 6 | 11 | 2 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0004) q[0];
rz(0.2396) q[0];
rx(0.0026) q[1];
rz(0.3096) q[1];
rx(0.4035) q[2];
rz(0.0043) q[2];
rx(-0.0002) q[3];
rz(0.2163) q[3];
rx(0.0035) q[4];
rz(0.2434) q[4];
rx(0.0059) q[5];
rz(0.2495) q[5];
rx(0.001) q[6];
rz(0.3124) q[6];
rx(0.0018) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | 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": [14, 7], "expectation_value": -2.66932595050422, "params": [[0.0629], [-0.0506]], "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.009957982079459124, 0.010271184053159015], "optimization_time": 2.4573848247528076} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "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(0.283) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.283) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.283) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.283) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 4} | {"circuits": [], "gradients": []} |
ab957251534d09507f870c3a6ef42154 | 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": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [1765, 1701], "expectation_value": -0.3672565208185107, "params": [0.6795, -0.1028, 0.4863, 0.0008, 0.6988000000000001, -0.0119, 0.6976, 0.004200000000000001, 0.7067, -0.015000000000000001, 0.7053, 0.0027, 0.6942, 0.1259, 0.4839, 0.0026000000000000003, 0.7056, -0.0207, 0.7054, 0.0028, 0.7001000000000001, 0.0... | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 6 | 12 | 1 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["010101101010", "011010100101", "101010010101", "100101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.6795) q[0];
rz(-0.1028) q[0];
rx(0.6988) q[1];
rz(-0.0119) q[1];
rx(0.7067) q[2];
rz(-0.015) q[2];
rx(0.6942) q[3];
rz(0.1259) q[3];
rx(0.7056) q[4];
rz(-0.0207) q[4];
rx(0.7001) q[5];
rz(0.0962) q[5];
rx(0.7086) q[6];
rz(-0.0292) q[6];
rx(0.6996) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 34], "expectation_value": -4.973039785722057, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 17, "probabilities": [0.0743643311537954, 0.8991266787991349], "optimization_time": 21.984670400619507} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
ry(-1.4449) q[3];
ry(1.4449) q[4];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
ry(-0.451) q[5];
cry(0.4963) q[4], q[0];
cry(-0.3778) q[4], q[5];
cry(-0.1177) q[4], q[3];
cry(0.10... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8f570f960f63671d4142917816c3a15b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [156, 188], "expectation_value": -2.373655140724243, "params": [[[0.3633, 0.1275], [0.6974, 0.1938], [0.09280000000000001, 0.1457], [0.6991, -0.2726], [0.6985, 0.4898], [0.6914, 0.47040000000000004], [0.7052, 0.6128], [0.5978, 0.6257], [0.2214, 0.2122]], [[-0.24550000000000002, 0.0757], [0.6991, 0.0236], [0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.75, "smallest_bitstrings": ["001100011", "100001011", "101000011", "010001011", "001010011", "001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3633) q[0];
ry(0.6974) q[1];
ry(0.0928) q[2];
ry(0.6991) q[3];
ry(0.6985) q[4];
ry(0.6914) q[5];
ry(0.7052) q[6];
ry(0.5978) q[7];
ry(0.2214) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f42741f0efd056a12fcab8fa1fa0326f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"s... | {"states": [4094, 8191], "expectation_value": -12.803579439902776, "params": [[[-1.0488, 1.1097000000000001], [0.018500000000000003, 1.1102], [-0.0012000000000000001, 0.0659], [-0.0025, -0.0016], [0.0026000000000000003, 0.0013000000000000002], [-0.0028, 0.0018000000000000002], [-0.0035, -0.0021000000000000003], [-0.004... | -1.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-1.0488) q[0];
ry(0.0185) q[1];
ry(-0.0012) q[2];
ry(-0.0025) q[3];
ry(0.0026) q[4];
ry(-0.0028) q[5];
ry(-0.0035) q[6];
ry(-0.0047) q[7];
ry(-0.0027) q[8];
ry(-0.0022) q[9];
ry(-0.0025) q[10];
ry(-0.003) q[11];
ry(0.0019) q[12];
cx q[12], q[0];
cx q[11],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 12} | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [24, 26], "expectation_value": -2.113151407824956, "params": [[[-0.0026000000000000003, 0.0071], [1.6146, 0.0015], [1.6124, 0.0016], [0.0021000000000000003, 0.0012000000000000001], [1.6121, 0.0081], [0.5332, 0.0041]]], "bitstrings": ["100111", "100101"], "total_optimization_steps": 160, "probabilities": [0.1... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0026) q[0];
rz(0.0071) q[0];
rx(1.6146) q[1];
rz(0.0015) q[1];
rx(1.6124) q[2];
rz(0.0016) q[2];
rx(0.0021) q[3];
rz(0.0012) q[3];
rx(1.6121) q[4];
rz(0.0081) q[4];
rx(0.5332) q[5];
rz(0.0041) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measur... | 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": []} |
7897445234456818427 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 3, 12], [1, 2, 12, 5], [9, 5, 6, 7], [1, 7], [4, 7], [0, 10, 7], [8, 2, 6], [2, 10, 4], [11, 4]]} | {"states": [1727, 1215], "expectation_value": -2.5523709720671337, "params": [0.517, -0.5314, 0.49050000000000005, 0.0068000000000000005, 0.2706, 0.5672, 0.2466, 0.5912000000000001, 1.2942, 0.0339, 1.3001, 0.0051, 0.8534, -0.3111, 0.6298, -0.3048, 0.24180000000000001, 0.5157, 0.2437, 0.0057, 0.7022, 0.0766, 1.2994, 0.3... | 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(12) @ Z(3)) + 0.16666666666666666 * (Z(12) @ Z(9)) + 0.08333333333333333 * (Z(1) @ Z(12)) + 0.08333333333333333 * (Z(2) @ Z(12)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(12)) + 0.083333333... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.3333333333333335, -3.3333333333333335, -3.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.2500000000000004, "smallest_bitstrings": ["1101101000000", "0011000100010", "1100100011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.517) q[0];
rz(-0.5314) q[0];
rx(0.2706) q[1];
rz(0.5672) q[1];
rx(1.2942) q[2];
rz(0.0339) q[2];
rx(0.8534) q[3];
rz(-0.3111) q[3];
rx(0.2418) q[4];
rz(0.5157) q[4];
rx(0.7022) q[5];
rz(0.0766) q[5];
rx(0.6578) q[6];
rz(-0.324) q[6];
rx(1.2429) 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": []} |
68c7da6fdb681219b05150137870d7db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -4.7499873347537624, "params": null, "bitstrings": ["1010", "1110"], "total_optimization_steps": 8, "probabilities": [1.2623559847835846e-05, 0.9999873681076068], "optimization_time": 2.7772789001464844} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.5706) q[3];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.4449) q[1];
cry(-0.1188) q[3], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... |
9529baf1c272123f159cd9ccf2735587 | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [64, 63], "expectation_value": -0.33326458175474527, "params": [[0.007500000000000001, -0.0656, -0.060700000000000004], [-0.0723, 0.058800000000000005, 0.0626]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011217349777113009, 0.011673408291198492], "optimization_... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0075) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0038) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.0075) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.0075) q[4];
cx q[2], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-6314554966025169379 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 3, 4, 9, 11], [0, 3, 4, 5, 7, 8, 9, 11], [1, 2, 10, 7], [0, 1, 2, 3, 6, 9, 11], [0, 3, 5, 6, 7, 9, 10], [0, 1, 4, 5, 7, 8, 9, 10], [1, 2, 3, 4, 5, 9], [8, 10, 4, 6], [1, 2, 5, 7, 8, 11], [0, 1, 2, 3, 7, 9, 11], [3, 4, 6, 7, 8, 9, 11], [2, 5, 6, ... | {"states": [3059, 3571], "expectation_value": -2.6540055257458013, "params": [1.6096000000000001, 1.5513000000000001, 0.9515, 0.5959, 1.085, 2.0355000000000003, 2.4299, 0.7157, 1.9098000000000002, 1.2076, 1.2407000000000001, 1.82, 1.5736, 1.5748, 2.4294000000000002, 0.6911, 2.0706, 1.1404, 0.0553, -0.0594, 2.228, 0.900... | 0.08928571428571427 * (Z(0) @ Z(1)) + 0.2214285714285714 * (Z(2) @ Z(1)) + 0.07142857142857142 * (Z(2) @ Z(0)) + 0.10476190476190475 * (Z(3) @ Z(1)) + 0.13095238095238093 * (Z(3) @ Z(0)) + 0.10476190476190475 * (Z(3) @ Z(2)) + 0.075 * (Z(4) @ Z(1)) + 0.10119047619047619 * (Z(4) @ Z(0)) + 0.05714285714285714 * (Z(4) @ Z... | 14 | 12 | 1 | {"smallest_eigenvalues": [-2.683333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6607142857142847, "smallest_bitstrings": ["001000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.6096) q[0];
ry(0.9515) q[1];
ry(1.085) q[2];
ry(2.4299) q[3];
ry(1.9098) q[4];
ry(1.2407) q[5];
ry(1.5736) q[6];
ry(2.4294) q[7];
ry(2.0706) q[8];
ry(0.0553) q[9];
ry(2.228) q[10];
ry(1.5259) q[11];
crx(0.2429) q[11], q[0];
crx(0.3526) q[10], q[11];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1c5d1381d8045df60eb241fe502287d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 135], "expectation_value": -29.422947868930496, "params": [0.0, 1.2415, -0.0, 1.2812000000000001, -0.0026000000000000003, 1.5463, -0.0002, 0.7201000000000001, -0.1854, 1.0727, 0.0892, 0.4046, 0.545, -0.4849, 0.0956, -0.20600000000000002, 0.0009000000000000001, 1.5125000000000002, 0.0013000000000000002, 0... | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0... | 6 | 10 | 2 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0) q[0];
rz(1.2415) q[0];
rx(-0.0026) q[1];
rz(1.5463) q[1];
rx(-0.1854) q[2];
rz(1.0727) q[2];
rx(0.545) q[3];
rz(-0.4849) q[3];
rx(0.0009) q[4];
rz(1.5125) q[4];
rx(-0.0008) q[5];
rz(1.2303) q[5];
rx(0.0036) q[6];
rz(1.5885) q[6];
rx(-0.3475) 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[... | {"node": 6} | {"circuits": [], "gradients": []} |
3faef1a5df020f8431fc90052a883282 | 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": [2596, 2604], "expectation_value": -108.51675928269978, "params": [[0.791, 0.0912, 0.7915000000000001, 0.0053, -0.0016, -0.0346, 0.7939, 0.08080000000000001, 0.2743, 0.8555, 0.0333, 0.0046], [0.785, -0.0901, 0.7841, -0.0045000000000000005, 0.003, -0.0236, 0.7827000000000001, -0.10700000000000001, 0.907, 0.89... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(11) @ Z(8)) + 13.5 * Z(2) + 2.0 * Z(1) + 5.5 * Z(0) + -5.0 * Z(3) + 7.5 * Z(6) + -7.0 * Z(4) + -5.0 * Z(5) + 8.0... | 10 | 12 | 3 | {"smallest_eigenvalues": [-129.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.5, "smallest_bitstrings": ["010111010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.791) q[0];
ry(0.0912) q[1];
ry(0.7915) q[2];
ry(0.0053) q[3];
ry(-0.0016) q[4];
ry(-0.0346) q[5];
ry(0.7939) q[6];
ry(0.0808) q[7];
ry(0.2743) q[8];
ry(0.8555) q[9];
ry(0.0333) q[10];
ry(0.0046) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
73234867a8d73902463f648150631001 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [3, 63], "expectation_value": -0.015293820214198305, "params": [[0.0057, -0.0012000000000000001, -0.001, 0.0043, 0.0076, 0.0009000000000000001, -0.0006000000000000001], [0.030500000000000003, 0.0089, 0.1015, 0.0045000000000000005, 0.0926, 0.0012000000000000001, 0.0367], [-0.028200000000000003, 0.006800000000... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 9 | 7 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
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(0.0057) q[0];
rx(-0.0012) q[1];
rx(-0.001) q[2];
rx(0.0043) q[3];
rx(0.0076) q[4];
rx(0.0009) q[5];
rx(-0.0006)... | 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": []} |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [4, 37], "expectation_value": -1.997407755892222, "params": [[[1.6099, -0.11460000000000001], [-0.05, -0.1202], [1.3385, -0.156], [1.6035000000000001, 0.0195], [0.39530000000000004, 0.2142], [1.1106, -1.1244]]], "bitstrings": ["111011", "011010"], "total_optimization_steps": 160, "probabilities": [0.15908809... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(1.6099) q[0];
ry(-0.05) q[1];
ry(1.3385) q[2];
ry(1.6035) q[3];
ry(0.3953) q[4];
ry(1.1106) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.1146) q[0];
ry(-0.1202) q[1];
ry(-0.156) q[2];
ry(0.0195) 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] 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;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} |
38980211450f7282c15e0ab435ff2cd6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.5315712596905402, "params": [[0.0695, 0.0679], [-0.07730000000000001, -0.0661]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.02205992688490132, 0.026598343809186006], "optimization_time": 2.5636556148529053} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.1043) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0348) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.0695) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(-0.1043) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
1909115557766259076 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 3, 6], [0, 3, 4, 5, 6], [0, 2, 5, 6], [1, 4], [0, 1]]} | {"states": [94, 93], "expectation_value": -0.7038777819557989, "params": [[-0.4873], [0.41450000000000004]], "bitstrings": ["0100001", "0100010"], "total_optimization_steps": 50, "probabilities": [0.02463028973156383, 0.02465511531669149], "optimization_time": 11.107454299926758} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(3)) + 0.1333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6166666666666667, "smallest_bitstrings": ["0100010"]} | 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[1];
rz(-0.0812) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0812) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0812) q[3];
cx q[1], q[3];
cx q[2], q[6];
rz(-0.1624) q[6];
cx q[2], q[6];
cx q[1], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
e543ef7ed69757cb61258022eb86ed78 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [68, 56], "expectation_value": -2.8532264479765423, "params": [[-0.1759, -0.1683], [0.1769, 0.1676]], "bitstrings": ["0111011", "1000111"], "total_optimization_steps": 20, "probabilities": [0.030803260546273477, 0.03118559257305855], "optimization_time": 3.5427329540252686} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010101", "1010110", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1759) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.1759) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.1759) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.1759) q[6];
cx q[0], q[6];
cx q[5], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
-5903830051335657599 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6], [3, 7], [2, 3], [1, 3, 4], [3, 6], [0, 1, 3], [0, 5, 6], [1, 3, 5], [4, 5], [1, 2, 5], [0, 1, 6]]} | {"states": [148, 107], "expectation_value": -0.06055098466961688, "params": [[-0.047], [0.0536]], "bitstrings": ["01101011", "10010100"], "total_optimization_steps": 10, "probabilities": [0.004149962706163855, 0.004165340366447208], "optimization_time": 2.4908699989318848} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["00010100", "10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.0157) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.0157) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.047) q[6];
cx q[0], q[6];
cx q[4], q[3];
rz(-0.0157) q[3];
cx q[4], q[3];
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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[6]... | null | {"circuits": [], "gradients": []} |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [74, 91], "expectation_value": -6.1406295786935745, "params": null, "bitstrings": ["10110101", "10100100"], "total_optimization_steps": 63, "probabilities": [0.10520568084598521, 0.7250061271220744], "optimization_time": 79.31920528411865} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | 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(1.5709) q[6];
cry(1.4449) q[7], q[3];
cry(1.4449) q[5], q[1];
cry(-1.4449) q[6], q[0];
cry(-0.9598) q[6], q[5];
cry(1.0462) q[4], q[7];
cry(1.069) q[6], q[4];
ry(0.5782) q[7];
cry(-0.8137) q[1]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) 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[... |
8271845911613829232 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 5, 7], [9, 10], [8, 7], [8, 3], [10, 6], [0, 3, 5], [1, 2], [4, 5]]} | {"states": [442, 698], "expectation_value": -3.462594836436398, "params": [-0.6940000000000001, 0.0019, 3.1445000000000003, 0.21930000000000002, -0.2194, -0.5377000000000001, 3.1396, -0.0001, 2.5563000000000002, -0.0026000000000000003, 2.8879, 0.0008, 2.9986, 0.0022, 3.1398, -0.35750000000000004, -0.0026000000000000003... | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.... | 4 | 11 | 1 | {"smallest_eigenvalues": [-3.666666666666666, -3.666666666666666, -3.666666666666666, -3.666666666666666, -3.666666666666666, -3.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["01011011010", "01011001001", "10101000101", "01000110110", "0100010... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.694) q[0];
rz(0.0019) q[0];
rx(3.1445) q[1];
rz(0.2193) q[1];
rx(-0.2194) q[2];
rz(-0.5377) q[2];
rx(3.1396) q[3];
rz(-0.0001) q[3];
rx(2.5563) q[4];
rz(-0.0026) q[4];
rx(2.8879) q[5];
rz(0.0008) q[5];
rx(2.9986) q[6];
rz(0.0022) q[6];
rx(3.1398) 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": []} |
ba516fd0ce7824e6228356c5f232cfab | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1, 3], "expectation_value": -25.273646155631724, "params": [[[0.16160000000000002, 0.2185], [0.14780000000000001, -0.22080000000000002], [0.0135, 0.2816], [0.012700000000000001, -0.2816], [0.1683, 0.2225], [0.5933, 0.0007], [0.5932000000000001, -0.0004]], [[0.1565, 0.21830000000000002], [0.1444, 0.2204], [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(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1616) q[0];
rz(0.2185) q[0];
rx(0.1478) q[1];
rz(-0.2208) q[1];
rx(0.0135) q[2];
rz(0.2816) q[2];
rx(0.0127) q[3];
rz(-0.2816) q[3];
rx(0.1683) q[4];
rz(0.2225) q[4];
rx(0.5933) q[5];
rz(0.0007) q[5];
rx(0.5932) q[6];
rz(-0.0004) q[6];
rx(0.1565) q[0];
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[... | {"k": 5} | {"circuits": [], "gradients": []} |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -0.19484919766336448, "params": [[0.0668], [-0.0524]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0045641024580703755, 0.004594972471173351], "optimization_time": 2.386323928833008} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "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[3], q[0];
rz(-0.0334) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0334) q[4];
cx q[0], q[4];
cx q[3], q[7];
rz(-0.1002) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(0.1002) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-2368963512029151782 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 1], [0, 3], [1, 3]]} | {"states": [9, 10], "expectation_value": -0.011627276729379368, "params": [[-0.0383], [0.0381]], "bitstrings": ["0110", "0101"], "total_optimization_steps": 10, "probabilities": [0.06322948868224504, 0.06322948868224504], "optimization_time": 0.3282616138458252} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": 0.0, "smallest_bitstrings": ["1110", "1010", "1001", "0110", "0101", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.0383) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.0383) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0383) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0383) q[1];
cx q[0], q[1];
rz(0) q[3];
rz(0) q[2];
rz(0) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[... | null | {"circuits": [], "gradients": []} |
39cc9c4f755324c5b5e65a794333a058 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [58965, 42581], "expectation_value": -0.008850876875700762, "params": [1.6039, 0.0001, 1.5469000000000002, 0.006200000000000001, 1.6372, 0.0099, 1.4832, 0.0016, 1.4998, 0.0049, 1.6205, 0.0007, 1.6374000000000002, 0.0029000000000000002, 1.4799, 0.0066, 1.4965000000000002, 0.0067, 1.6291, 0.004200000000000001,... | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + 0.000390625 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + 0.000390625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009765625 * (Z(6) @ Z(0)) + -0.0009765625 * (... | 3 | 16 | 1 | {"smallest_eigenvalues": [-2.021874999999967], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021874999999942, "smallest_bitstrings": ["0101100110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.6039) q[0];
rz(0.0001) q[0];
rx(1.5469) q[1];
rz(0.0062) q[1];
rx(1.6372) q[2];
rz(0.0099) q[2];
rx(1.4832) q[3];
rz(0.0016) q[3];
rx(1.4998) q[4];
rz(0.0049) q[4];
rx(1.6205) q[5];
rz(0.0007) q[5];
rx(1.6374) q[6];
rz(0.0029) q[6];
rx(1.4799) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
d64cdfb0330688360d8e7e9aacc7d340 | 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": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 1, "ta... | {"states": [430, 236], "expectation_value": -24.44400414041536, "params": [[0.0378, 0.0054, -0.0126, 0.0152], [-0.0724, -0.05, -0.0356, -0.038]], "bitstrings": ["001010001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.009426958771875403, 0.010989607327010244], "optimization_time": 7.40167307853698... | 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(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 12.0 * Z(1) + 9.5 * Z(0) + 15.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "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(0.3402) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3402) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3402) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3402) 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": []} |
-6792928542543191383 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4, 5, 6, 7, 9, 10], [0, 2, 5, 6, 7, 8, 9, 10, 11], [0, 1, 2, 4, 7, 8, 10, 11], [1, 2, 5, 6, 11], [2, 3, 4, 5, 6, 9, 10], [1, 3, 4], [0, 3, 5, 6, 7, 8]]} | {"states": [1722, 1786], "expectation_value": -1.0962369350967662, "params": [[[1.2853, -0.4904, 0.007, 0.006500000000000001], [0.5941000000000001, -0.4904, 0.2842, 0.0006000000000000001], [1.2993000000000001, 0.0053, 1.296, 0.0092], [1.2968, 0.0016, 1.2944, 0.0083], [1.2921, 0.0337, 1.2847, 0.004], [0.8193, -0.3795, 0... | 0.21428571428571427 * (Z(3) @ Z(4)) + 0.047619047619047616 * (Z(5) @ Z(4)) + 0.08095238095238094 * (Z(5) @ Z(3)) + 0.047619047619047616 * (Z(6) @ Z(4)) + 0.08095238095238094 * (Z(6) @ Z(3)) + 0.14484126984126983 * (Z(6) @ Z(5)) + 0.041666666666666664 * (Z(7) @ Z(4)) + 0.05714285714285714 * (Z(7) @ Z(3)) + 0.07103174603... | 11 | 12 | 1 | {"smallest_eigenvalues": [-1.4595238095238101, -1.4595238095238101], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4595238095238097, "smallest_bitstrings": ["100100000101", "000100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.2853) q[0];
rz(-0.4904) q[0];
ry(0.5941) q[1];
rz(-0.4904) q[1];
ry(1.2993) q[2];
rz(0.0053) q[2];
ry(1.2968) q[3];
rz(0.0016) q[3];
ry(1.2921) q[4];
rz(0.0337) q[4];
ry(0.8193) q[5];
rz(-0.3795) q[5];
ry(1.2915) q[6];
rz(0.0097) q[6];
ry(0.8108) 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": []} |
7c13ad0365481b8f4c94fe0692e944b8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [107, 99], "expectation_value": -2.747752989114873, "params": [0.0026000000000000003, 0.0021000000000000003, 0.6951, 0.6961, 0.6936, 0.6963, -0.0238, -0.0228, 0.3116, 0.3448, -0.005200000000000001, 0.0002, 0.7033, 0.6947, 0.6803, 0.6466000000000001, -0.006900000000000001, -0.0002, 0.6925, 0.6906, 0.6995, 0.6... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010110", "10010101", "10100101", "10001101", "11010100", "10011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0026) q[0];
ry(0.6951) q[1];
ry(0.6936) q[2];
ry(-0.0238) q[3];
ry(0.3116) q[4];
ry(-0.0052) q[5];
ry(0.7033) q[6];
ry(0.6803) q[7];
crx(-0.0038) q[7], q[0];
crx(0.6948) q[6], q[7];
crx(-0.0088) q[5], q[6];
crx(-0.0032) q[4], q[5];
crx(-0.2867) q[3], 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[... | null | {"circuits": [], "gradients": []} |
b8aaab24da0004c3e40ded7e0da30763 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [0, 1], "expectation_value": -5.638605031410025, "params": [[[0.0033, 0.0001], [0.0023, 0.0067], [-0.0027, 0.0088], [0.0024000000000000002, 0.0006000000000000001], [0.0026000000000000003, 0.0002], [0.0026000000000000003, 0.0098], [1.6055000000000001, 0.0048000000000000004]]], "bitstrings": ["1111111", "11111... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0033) q[0];
rz(0.0001) q[0];
rx(0.0023) q[1];
rz(0.0067) q[1];
rx(-0.0027) q[2];
rz(0.0088) q[2];
rx(0.0024) q[3];
rz(0.0006) q[3];
rx(0.0026) q[4];
rz(0.0002) q[4];
rx(0.0026) q[5];
rz(0.0098) q[5];
rx(1.6055) q[6];
rz(0.0048) q[6];
c[0] = measure 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] 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": []} |
a38675d53d722227ef740a74a5426a27 | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [112, 98], "expectation_value": -0.3885055309605792, "params": [[0.0097, 0.059300000000000005, 0.0753], [0.035, -0.0328, -0.057800000000000004]], "bitstrings": ["0001111", "0011101"], "total_optimization_steps": 10, "probabilities": [0.009689775161059186, 0.009689775161059191], "optimization_time": 3.8958718... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "1000111", "0001111", "1010101", "0011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0097) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(0.0097) q[6];
cx q[0], q[6];
cx q[3], q[4];
rz(0.0097) q[4];
cx q[3], q[4];
cx q[4], q[1];
rz(0.0097) q[1];
cx q[4], q[1];
cx q[6], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
5043903666762505941 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [3, 5], [0, 4]]} | {"states": [41, 44], "expectation_value": -0.014058212444383147, "params": [[0.0604], [-0.046900000000000004]], "bitstrings": ["010110", "010011"], "total_optimization_steps": 10, "probabilities": [0.0160683555544239, 0.0160683555544239], "optimization_time": 2.2685582637786865} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["100100", "100001", "010011", "001011", "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(0.0201) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0201) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0201) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(0.0604) q[3];
cx q[5], q[3];
cx q[0], q[4];
rz(0.0604... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx ... | null | {"circuits": [], "gradients": []} |
118037051d4e064ed30ce81580caf956 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [255, 3], "expectation_value": -0.3589334622641985, "params": [[0.0729, 0.06620000000000001], [-0.0781, -0.0592]], "bitstrings": ["100000000", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0029520448431412344, 0.0034337773579815913], "optimization_time": 3.603807210922241} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0365) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(-0.0365) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0729) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.0729) q[2];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-5577041213901454525 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [2, 3], [1, 2], [0, 2]]} | {"states": [5, 13], "expectation_value": -0.8831857405603301, "params": null, "bitstrings": ["1010", "0010"], "total_optimization_steps": 19, "probabilities": [0.34495084855655883, 0.4621328942827737], "optimization_time": 10.44399905204773} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": 0.0, "smallest_bitstrings": ["1101", "1010", "1001", "0110", "0101", "0010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[1], q[2];
ry(0.7003) q[1];
cry(-0.7092) q[3], q[2];
cry(1.1516) q[1], q[3];
cry(-0.3808) q[0], q[2];
cry(0.5092) q[3], q[1];
ry(0.1926) q[3];
ry(-0.1031) q[2];
cry(-0.2804) q[2], q[3];
cry(0.1222) q[0], q[3];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
4942168494650640276 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 5], [2, 5, 6], [8, 1, 6], [1, 4, 6], [8, 4, 5], [0, 2, 3, 4, 5], [2, 3, 4, 6, 7], [8, 0, 5], [1, 3, 6, 7], [2, 5, 7], [1, 2, 3, 7, 8], [0, 1, 2, 6]]} | {"states": [503, 467], "expectation_value": -1.949180072495682, "params": [1.2776, 0.15990000000000001, 1.1906, 0.0014, 1.278, 0.28900000000000003, 1.0158, 0.0053, 1.2807000000000002, 0.0898, 1.2271, 0.0004, 1.157, -0.1623, 1.1479000000000001, 0.0067, 1.2454, 0.1346, 1.2275, 0.0011, 1.082, 0.29860000000000003, 0.8911, ... | 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3833333333333333 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.3833333333333333 * (Z(2) @ Z(5)) + 0.49999999999999994 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.016666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.016666666666666, "smallest_bitstrings": ["000101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2776) q[0];
rz(0.1599) q[0];
rx(1.278) q[1];
rz(0.289) q[1];
rx(1.2807) q[2];
rz(0.0898) q[2];
rx(1.157) q[3];
rz(-0.1623) q[3];
rx(1.2454) q[4];
rz(0.1346) q[4];
rx(1.082) q[5];
rz(0.2986) q[5];
rx(1.2701) q[6];
rz(0.2977) q[6];
rx(1.2337) q[7];
rz(0.016... | 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": []} |
dd0fd296e5cefa508578d0a4d77f60d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [4011, 3755], "expectation_value": -1.8540816624244836, "params": [0.5951000000000001, 0.5984, 0.4212, 0.44920000000000004, 0.5897, 0.5982000000000001, 0.3673, 0.3766, 0.5922000000000001, 0.5924, 0.0838, 0.08800000000000001, 0.5913, 0.5978, 0.2214, 0.2051, 0.6012000000000001, 0.5996, 0.2006, 0.2034, 0.600300... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 14 | 12 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_sma... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.5951) q[0];
ry(0.4212) q[1];
ry(0.5897) q[2];
ry(0.3673) q[3];
ry(0.5922) q[4];
ry(0.0838) q[5];
ry(0.5913) q[6];
ry(0.2214) q[7];
ry(0.6012) q[8];
ry(0.2006) q[9];
ry(0.6003) q[10];
ry(0.5416) q[11];
crx(0.5771) q[11], q[0];
crx(0.0982) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a2b703670d19247f6071de624d813f7d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [987, 986], "expectation_value": -2.0523962422526307, "params": [0.38880000000000003, 0.3926, 1.1975, 1.1961000000000002, 0.9043, 0.9043, 1.2077, 1.1993, 0.9616, 0.9626, 0.0039000000000000003, -0.0007, 1.2058, 1.2011, 1.2024000000000001, 1.1974, 0.3889, 0.38180000000000003, 1.206, 1.2039, 0.7135, 0.7158, 0.3... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(3) @ Z(6... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.6875, "smallest_bitstrings": ["10000100011", "00110100100", "10000100110", "10000100101", "10000101100", "10000110010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3888) q[0];
ry(1.1975) q[1];
ry(0.9043) q[2];
ry(1.2077) q[3];
ry(0.9616) q[4];
ry(0.0039) q[5];
ry(1.2058) q[6];
ry(1.2024) q[7];
ry(0.3889) q[8];
ry(1.206) q[9];
ry(0.7135) q[10];
crz(0.3808) q[10], q[0];
crz(-0.2542) q[9], q[10];
crz(0.4228) q[8], 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": []} |
249741342773161377 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [1, 3], [0, 5], [2, 4], [3, 5], [1, 5], [1, 2]]} | {"states": [22, 19], "expectation_value": -1.199705084159223, "params": [1.0063, 0.6682, 0.5127, 0.0048000000000000004, 1.2962, 0.20500000000000002, 1.1972, 0.0022, 0.6543, -0.552, 0.35960000000000003, 0.0092, 1.0097, 0.6686000000000001, 0.5169, 0.0001, 1.3036, 0.049800000000000004, 1.2966, 0.0026000000000000003, 1.284... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.0063) q[0];
rz(0.6682) q[0];
rx(1.2962) q[1];
rz(0.205) q[1];
rx(0.6543) q[2];
rz(-0.552) q[2];
rx(1.0097) q[3];
rz(0.6686) q[3];
rx(1.3036) q[4];
rz(0.0498) q[4];
rx(1.2844) q[5];
rz(0.5807) q[5];
crz(-0.2556) q[5], q[4];
crz(0.4731) q[5], q[3];
crz(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-1506213724955381510 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 5, 9], [0, 1], [8, 9, 6, 7], [1, 2, 4, 7], [5, 6], [9, 3], [3, 4, 6, 7], [8, 1, 4, 5], [9, 5, 1, 7], [8, 9, 4, 5], [8, 4, 7], [0, 9, 5, 7], [8, 2, 6], [9, 2, 4, 5]]} | {"states": [502, 470], "expectation_value": -2.512725377467414, "params": [0.3426, 0.10070000000000001, 0.3395, 0.0082, 1.1966, -0.0176, 1.1912, 0.027100000000000003, 1.1964000000000001, -0.009600000000000001, 1.1916, 0.0027, 1.2042000000000002, -0.0297, 1.0410000000000001, 0.0303, 0.7753, -0.23070000000000002, 0.78070... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.41666666666666663 * (Z(9) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(9)) + 0.1666666... | 8 | 10 | 1 | {"smallest_eigenvalues": [-4.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.916666666666665, "smallest_bitstrings": ["1000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3426) q[0];
rz(0.1007) q[0];
rx(1.1966) q[1];
rz(-0.0176) q[1];
rx(1.1964) q[2];
rz(-0.0096) q[2];
rx(1.2042) q[3];
rz(-0.0297) q[3];
rx(0.7753) q[4];
rz(-0.2307) q[4];
rx(1.203) q[5];
rz(0.0081) q[5];
rx(0.5824) q[6];
rz(-0.3088) q[6];
rx(1.1907) 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": []} |
-951988965025821207 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 5, 6], [9, 2, 10], [8, 10, 7], [1, 3, 4], [9, 5], [9, 3], [0, 9, 2], [8, 9], [2, 3, 7], [1, 10], [0, 3], [10, 5, 7], [2, 4], [8, 3, 6], [0, 4, 5], [10, 5, 6], [9, 2, 1], [8, 3, 4], [2, 5, 7], [10, 4], [8, 5, 6], [8, 1, 3], [0, 1, 7]]} | {"states": [978, 1490], "expectation_value": -6.620312756474967, "params": [0.9753000000000001, 0.9550000000000001, 2.9698, 0.8517, -1.8941000000000001, -0.8544, 1.5741, 1.5730000000000002, 1.1881000000000002, 1.9586000000000001, 0.0115, -0.0049, 1.6066, 1.5402, -0.0025, -0.0023, 0.27640000000000003, -0.240700000000000... | 0.16666666666666666 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(10)) + 0.3333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.1... | 14 | 11 | 1 | {"smallest_eigenvalues": [-6.833333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.499999999999999, "smallest_bitstrings": ["01000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.9753) q[0];
ry(2.9698) q[1];
ry(-1.8941) q[2];
ry(1.5741) q[3];
ry(1.1881) q[4];
ry(0.0115) q[5];
ry(1.6066) q[6];
ry(-0.0025) q[7];
ry(0.2764) q[8];
ry(1.5678) q[9];
ry(-0.0023) q[10];
crx(1.804) q[10], q[0];
crx(-0.002) q[9], q[10];
crx(1.1039) q[8], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1864592720b05b8d956573b849e23700 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 20, "source... | {"states": [218, 210], "expectation_value": -46.93884896306197, "params": [[[0.0034000000000000002, 0.6066], [0.7912, 0.0038], [0.7839, 0.0019], [-0.005200000000000001, -0.3985], [0.7935, 0.0029000000000000002], [0.365, 0.216], [0.0045000000000000005, -0.4338], [0.7871, 0.0002], [-0.0205, 0.38420000000000004]], [[0.001... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.5, "smallest_bitstrings": ["100101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0034) q[0];
rz(0.6066) q[0];
rx(0.7912) q[1];
rz(0.0038) q[1];
rx(0.7839) q[2];
rz(0.0019) q[2];
rx(-0.0052) q[3];
rz(-0.3985) q[3];
rx(0.7935) q[4];
rz(0.0029) q[4];
rx(0.365) q[5];
rz(0.216) q[5];
rx(0.0045) q[6];
rz(-0.4338) q[6];
rx(0.7871) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
97aa58ef0b431934bfaa14698e7612e3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [18, 26], "expectation_value": -1.2567832574195534, "params": [0.30060000000000003, 0.0636, 0.2889, 0.0733, 0.4056, 0.0088, 0.40390000000000004, 0.0024000000000000002, 0.0016, -0.2884, 0.4015, 0.0002, 0.0036000000000000003, 0.30970000000000003, 0.30610000000000004, 0.06380000000000001, 0.2887, 0.0711, 0.4083... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0... | 16 | 7 | 4 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.8125, "smallest_bitstrings": ["0101101", "1100101", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3006) q[0];
rz(0.0636) q[0];
rx(0.2889) q[1];
rz(0.0733) q[1];
rx(0.4056) q[2];
rz(0.0088) q[2];
rx(0.4039) q[3];
rz(0.0024) q[3];
rx(0.0016) q[4];
rz(-0.2884) q[4];
rx(0.4015) q[5];
rz(0.0002) q[5];
rx(0.0036) q[6];
rz(0.3097) q[6];
crz(0.0631) q[1], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
2070221959557949909 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [3, 5], [0, 1, 2], [2, 4]]} | {"states": [41, 28], "expectation_value": -0.01666684162432109, "params": [[0.053700000000000005], [-0.0446]], "bitstrings": ["010110", "100011"], "total_optimization_steps": 10, "probabilities": [0.016150775815025886, 0.01615100435838632], "optimization_time": 0.7351107597351074} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.16666666666666663 * Z(1) + 0.0 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["010110", "100011", "001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.0537) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(0.0537) q[3];
cx q[5], q[3];
cx q[1], q[0];
rz(0.0179) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0179) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0179... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[1], q[0];
rz(x1) q[0];
cx q[1], q[0];
cx ... | null | {"circuits": [], "gradients": []} |
7fa6d926fed88692e1dac2092e1fc75e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 127], "expectation_value": -47.082829052266234, "params": [[[-0.0027, 0.0092], [0.0024000000000000002, 0.0054], [-1.6265, 0.0088], [0.0025, 0.0077], [0.0024000000000000002, 0.0004], [0.0024000000000000002, 0.0085], [0.0024000000000000002, 0.0074], [0.0025, 0.0056], [0.0024000000000000002, 0.0031000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(4)) + -3.5 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(6)) + 1.0 * (Z(9) @ Z(4)) + -3... | 2 | 10 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.5, "smallest_bitstrings": ["1110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0027) q[0];
rz(0.0092) q[0];
rx(0.0024) q[1];
rz(0.0054) q[1];
rx(-1.6265) q[2];
rz(0.0088) q[2];
rx(0.0025) q[3];
rz(0.0077) q[3];
rx(0.0024) q[4];
rz(0.0004) q[4];
rx(0.0024) q[5];
rz(0.0085) q[5];
rx(0.0024) q[6];
rz(0.0074) q[6];
rx(0.0025) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 2} | {"circuits": [], "gradients": []} |
6842c95d9f8f8e6ed9a30462c7d1331d | 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": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 1022], "expectation_value": -8.453814860521458, "params": [[[-0.0522, -0.0723], [-0.3257, 0.41750000000000004], [0.0008, 0.1985], [-0.0023, -0.0012000000000000001], [-0.0027, -0.0031000000000000003], [-0.0028, -0.0036000000000000003], [-0.0025, -0.0026000000000000003], [-0.0013000000000000002, -0.0025], ... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 15 | 11 | 3 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000001", "10000000101", "11000000001", "11000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0522) q[0];
ry(-0.3257) q[1];
ry(0.0008) q[2];
ry(-0.0023) q[3];
ry(-0.0027) q[4];
ry(-0.0028) q[5];
ry(-0.0025) q[6];
ry(-0.0013) q[7];
ry(-0.0027) q[8];
ry(0.1418) q[9];
ry(-0.0053) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
4369661603586156002 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 6, 7], [1, 2, 5, 7, 8], [1, 3, 4, 5, 6, 7, 9], [0, 1, 2, 3, 4, 8], [2, 3, 5, 7, 9], [0, 1, 5, 6, 7]]} | {"states": [987, 985], "expectation_value": -1.0385135017012026, "params": [1.3858000000000001, 0.030000000000000002, 1.2231, 0.0035, 1.3764, 0.027200000000000002, 1.2529000000000001, 0.0094, 1.3401, 0.1076, 1.31, 0.0073, 1.3737000000000001, 0.0738, 1.1302, 0.008700000000000001, 1.0444, -0.26030000000000003, 1.0179, 0.... | 0.11666666666666667 * (Z(0) @ Z(3)) + 0.10714285714285714 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.15714285714285714 * (Z(7) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.15714285714285714 * (Z(7) @ Z(6)) + 0.05714285714285714 * (Z(1) @ Z(3)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.07380952380952... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.2404761904761907, -1.2404761904761907, -1.2404761904761907, -1.2404761904761907], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2404761904761903, "smallest_bitstrings": ["0000100110", "0001010010", "1000110000", "0010100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.3858) q[0];
rz(0.03) q[0];
rx(1.3764) q[1];
rz(0.0272) q[1];
rx(1.3401) q[2];
rz(0.1076) q[2];
rx(1.3737) q[3];
rz(0.0738) q[3];
rx(1.0444) q[4];
rz(-0.2603) q[4];
rx(1.378) q[5];
rz(0.0947) q[5];
rx(1.385) q[6];
rz(0.0501) q[6];
rx(1.0657) q[7];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [8, 3], "expectation_value": -0.6216767818281533, "params": [[-0.0847, -0.0867, -0.079], [0.0791, 0.0806, 0.0753]], "bitstrings": ["0111", "1100"], "total_optimization_steps": 10, "probabilities": [0.08357689791348076, 0.10128297319042469], "optimization_time": 3.578810930252075} | 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)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0847) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0847) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0847) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0847) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0847) 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
afc1e6ae0489b407103909fb8184f531 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [54, 55], "expectation_value": -5.499906799238905, "params": null, "bitstrings": ["1001001", "1001000"], "total_optimization_steps": 33, "probabilities": [1.4544680906507273e-05, 0.9999210558397572], "optimization_time": 39.91138243675232} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[3];
ry(1.4449) q[6];
ry(1.4449) q[1];
ry(1.4449) q[2];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(0.1187) q[5], q[6];
cry(0.1188) q[6], q[1];
cry(0.1188) q[1], q[2];
cry(0.1188)... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e9e1c3bad7671d416f508c960af260f6 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -4.843630614196209, "params": [0.013300000000000001, 0.0779, 0.3027, 0.0487, 0.0037, 0.2992, 0.0054, 0.21080000000000002, 0.0056, 0.1947, 0.0043, 0.22940000000000002, 0.3992, -0.0006000000000000001, -0.0049, 0.0597, 0.3014, 0.1501, 0.0009000000000000001, 0.3062, -0.00060000000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0133) q[0];
rz(0.0779) q[0];
rx(0.3027) q[1];
rz(0.0487) q[1];
rx(0.0037) q[2];
rz(0.2992) q[2];
rx(0.0054) q[3];
rz(0.2108) q[3];
rx(0.0056) q[4];
rz(0.1947) q[4];
rx(0.0043) q[5];
rz(0.2294) q[5];
rx(0.3992) q[6];
rz(-0.0006) q[6];
crz(0.0085) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
c0acbd012fdf8058193f775d048e653e | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, ... | {"states": [108, 116], "expectation_value": -3.7906258113925295, "params": null, "bitstrings": ["0010011", "0001011"], "total_optimization_steps": 48, "probabilities": [0.0476910282024665, 0.8614511453473082], "optimization_time": 39.31340932846069} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[5];
ry(-1.4449) q[0];
ry(1.4449) q[1];
cry(-1.0398) q[4], q[6];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[2];
ry(0.7022) q[4];
ry(-0.4578) q[3];
cry(0.497) q[1], q[2];
ry(-0.4578) q[6];
cry(0.49... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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", ... |
dd1ea2ee61722851179474867130abf8 | 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": 0, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [248, 4088], "expectation_value": -16.697277651072874, "params": [0.0027, 0.21660000000000001, 0.8948, 0.0009000000000000001, -0.0022, -0.2866, -0.9314, -0.004, -0.0018000000000000002, 0.2499, -1.058, 0.0014, 1.0953000000000002, 0.0086, -0.0031000000000000003, 0.6244000000000001, 3.035, 0.0, -0.0025, 0.0097,... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 *... | 4 | 12 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0027) q[0];
rz(0.2166) q[0];
rx(0.8948) q[1];
rz(0.0009) q[1];
rx(-0.0022) q[2];
rz(-0.2866) q[2];
rx(-0.9314) q[3];
rz(-0.004) q[3];
rx(-0.0018) q[4];
rz(0.2499) q[4];
rx(-1.058) q[5];
rz(0.0014) q[5];
rx(1.0953) q[6];
rz(0.0086) q[6];
rx(-0.0031) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
66f75df6a73731ca3dfcd77bd9b8f9a8 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [127, 111], "expectation_value": -0.21349390371769372, "params": [[-0.0876], [0.0804]], "bitstrings": ["0000000", "0010000"], "total_optimization_steps": 10, "probabilities": [0.0097744179749754, 0.01005196508031946], "optimization_time": 1.1727688312530518} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 5 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.1752) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(0.1752) q[3];
cx q[4], q[3];
cx q[6], q[5];
rz(0.1752) q[5];
cx q[6], q[5];
rz(-0.0876) q[1];
rz(-0.0876) q[0];
rz(-0.0876) q[4];
rz(-0.087... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q... | {"node": 3} | {"circuits": [], "gradients": []} |
1826494843409106846 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3], [1, 6], [3, 11], [3, 6], [8, 10], [1, 10], [1, 4], [10, 11], [2, 6], [0, 9], [5, 7], [11, 7], [10, 5], [3, 4], [1, 9], [2, 10], [3, 7], [0, 1]]} | {"states": [182, 2230], "expectation_value": -0.12900394007610005, "params": [[[1.6205, 0.0085], [1.4235, 0.009000000000000001], [1.4107, 0.007], [1.4791, 0.0012000000000000001], [1.7035, 0.0032], [1.4351, 0.0008], [1.7138, 0.005200000000000001], [1.6875, 0.0028], [1.3956000000000002, 0.0047], [1.7169, 0.0081], [1.7238... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["011101001001", "100010110110", "011101001101", "100010110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.6205) q[0];
rz(0.0085) q[0];
rx(1.4235) q[1];
rz(0.009) q[1];
rx(1.4107) q[2];
rz(0.007) q[2];
rx(1.4791) q[3];
rz(0.0012) q[3];
rx(1.7035) q[4];
rz(0.0032) q[4];
rx(1.4351) q[5];
rz(0.0008) q[5];
rx(1.7138) q[6];
rz(0.0052) q[6];
rx(1.6875) 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": []} |
2588d6bc234a2ebe9da283ea0a74ab37 | 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": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [210, 127], "expectation_value": -6.027559410627919, "params": null, "bitstrings": ["00101101", "10000000"], "total_optimization_steps": 83, "probabilities": [0.05036366897357575, 0.7862576008289568], "optimization_time": 119.5602355003357} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "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];
cry(1.5626) q[4], q[5];
cry(1.5693) q[5], q[2];
ry(1.5571) q[1];
cry(1.5681) q[1], q[6];
cry(1.0742) q[2], q[4];
ry(0.449) q[5];
cry(1.5036) q[5], q[7];
cry(1.4448) q[6], q[3];
cry(-1.399) q[7], q... | 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];\ncry(1.5626) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
38f137728aa288017fb6e77e397c7c5c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [27221, 43605], "expectation_value": -2.016689385424376, "params": [0.5033, 0.4882, 0.3685, 0.3583, 0.38220000000000004, 0.388, 0.0033, 0.0063, 0.39230000000000004, 0.3929, 0.0067, 0.0028, 0.3861, 0.3947, 0.0264, -0.0055000000000000005, -0.01, -0.0257, 0.3912, 0.3836, -0.0166, 0.0148, 0.39, 0.3896, 0.0076, -... | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.0199652777777413], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0199652777776587, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.5033) q[0];
ry(0.3685) q[1];
ry(0.3822) q[2];
ry(0.0033) q[3];
ry(0.3923) q[4];
ry(0.0067) q[5];
ry(0.3861) q[6];
ry(0.0264) q[7];
ry(-0.01) q[8];
ry(0.3912) q[9];
ry(-0.0166) q[10];
ry(0.39) q[11];
ry(0.0076) q[12];
ry(0.3866) q[13];
ry(0.0062) 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... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
dab40a2f654e93a72357d226e03c7017 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [826, 827], "expectation_value": -1.9976829323937337, "params": [0.9911000000000001, -0.0025, 0.8344, -0.0779, 0.0944, -0.49110000000000004, 0.0014, 0.6273000000000001, 0.9545, 0.4912, 0.9817, 0.21880000000000002, 0.9924000000000001, -0.0017000000000000001, 0.4862, 0.37420000000000003, 0.9918, 0.2119, 0.5842... | 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(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 16 | 10 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011000100", "1000100001", "0101000010", "0010101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9911) q[0];
rz(-0.0025) q[0];
rx(0.8344) q[1];
rz(-0.0779) q[1];
rx(0.0944) q[2];
rz(-0.4911) q[2];
rx(0.0014) q[3];
rz(0.6273) q[3];
rx(0.9545) q[4];
rz(0.4912) q[4];
rx(0.9817) q[5];
rz(0.2188) q[5];
rx(0.9924) q[6];
rz(-0.0017) q[6];
rx(0.4862) 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": []} |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [26, 15], "expectation_value": -2.313921416446625, "params": null, "bitstrings": ["00101", "10000"], "total_optimization_steps": 25, "probabilities": [0.1260881564340479, 0.6003138025270256], "optimization_time": 13.664743661880493} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010", "10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.5681) q[1];
cry(1.4449) q[4], q[2];
cry(-1.3016) q[4], q[0];
cry(0.909) q[2], q[4];
cry(-0.5426) q[2], q[0];
ry(0.167) q[4];
ry(0.1793) q[2];
cry(0.4711) q[1], q[3];
ry(0.3841) q[3];
cry(0.1949) q[3], q[0];
cry(0.27... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [32, 1], "expectation_value": -7.942303765670233, "params": null, "bitstrings": ["011111", "111110"], "total_optimization_steps": 18, "probabilities": [0.15643410268844596, 0.8141130102870059], "optimization_time": 13.528825759887695} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
cry(-1.5708) q[5], q[0];
ry(1.0958) q[5];
ry(-0.5471) q[0];
ry(-1.5699) q[4];
ry(-1.5486) q[3];
ry(-1.5708) q[2];
cry(-0.0778) q[0], q[5];
cry(-0.0222) q[5], q[3];
cry(-0.0158) q[0], q[3];
cry(-... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
00c47f772e828bc0d4453cbe4002ef93 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 7], "expectation_value": -5.304559129426311, "params": [[[0.3017, -0.19390000000000002], [0.2634, 0.231], [0.30310000000000004, -0.1927], [0.3013, 0.1963], [0.65, 0.0001], [0.5924, 0.0004], [0.6018, 0.0031000000000000003]], [[0.3033, -0.19390000000000002], [0.2621, 0.23120000000000002], [0.3045, -0.1927]... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3017) q[0];
rz(-0.1939) q[0];
rx(0.2634) q[1];
rz(0.231) q[1];
rx(0.3031) q[2];
rz(-0.1927) q[2];
rx(0.3013) q[3];
rz(0.1963) q[3];
rx(0.65) q[4];
rz(0.0001) q[4];
rx(0.5924) q[5];
rz(0.0004) q[5];
rx(0.6018) q[6];
rz(0.0031) q[6];
rx(0.3033) q[0];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
8187861871971557743 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4], [0, 1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 5, 6], [8, 3, 5, 7], [0, 1, 2, 5, 7], [8, 2, 5, 7], [1, 2, 6, 7], [2, 3, 4, 5, 6, 7], [0, 1, 3, 4, 5, 7], [1, 5, 6, 7], [1, 2, 4, 5, 7], [8, 5, 6, 7]]} | {"states": [493, 237], "expectation_value": -2.094941956004395, "params": [1.1037000000000001, 0.0032, 1.1017000000000001, 0.0012000000000000001, 1.0921, -0.0051, 1.0839, 0.0029000000000000002, 1.0928, -0.0032, 1.091, 0.0011, 1.0943, 0.0028, 1.0874000000000001, 0.0039000000000000003, 1.092, -0.0022, 0.6988000000000001,... | 0.5 * (Z(8) @ Z(4)) + 0.06666666666666667 * (Z(0) @ Z(4)) + 0.023809523809523808 * (Z(0) @ Z(8)) + 0.08333333333333334 * (Z(1) @ Z(4)) + 0.023809523809523808 * (Z(1) @ Z(8)) + 0.10714285714285715 * (Z(1) @ Z(0)) + 0.11666666666666667 * (Z(2) @ Z(4)) + 0.10714285714285714 * (Z(2) @ Z(8)) + 0.10714285714285715 * (Z(2) @ ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.792857142857143], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.742857142857142, "smallest_bitstrings": ["100010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1037) q[0];
rz(0.0032) q[0];
rx(1.0921) q[1];
rz(-0.0051) q[1];
rx(1.0928) q[2];
rz(-0.0032) q[2];
rx(1.0943) q[3];
rz(0.0028) q[3];
rx(1.092) q[4];
rz(-0.0022) q[4];
rx(1.0913) q[5];
rz(-0.0012) q[5];
rx(1.1008) q[6];
rz(-0.0011) q[6];
rx(1.0894) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
af2a36d48b24ac9d67c140052b571700 | 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": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"sour... | {"states": [60, 62], "expectation_value": -3.147414948071696, "params": [0.3845, 0.3262, 0.7887000000000001, -0.0034000000000000002, 1.1984000000000001, 0.00030000000000000003, 1.2079, -0.0034000000000000002, 1.1973, -0.0013000000000000002, 1.2123000000000002, 0.0004, 1.2087, 0.0028, 1.2041, 0.0038, 0.1327, 0.0063, 0.5... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(8) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(6) + 0.0... | 4 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["101010001", "111000001", "000110101", "001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3845) q[0];
rz(0.3262) q[0];
rx(0.7887) q[1];
rz(-0.0034) q[1];
rx(1.1984) q[2];
rz(0.0003) q[2];
rx(1.2079) q[3];
rz(-0.0034) q[3];
rx(1.1973) q[4];
rz(-0.0013) q[4];
rx(1.2123) q[5];
rz(0.0004) q[5];
rx(1.2087) q[6];
rz(0.0028) q[6];
rx(1.2041) 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": []} |
d73d59d8534bb2db64056b6b376ab049 | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -5.913880455426702, "params": null, "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 94, "probabilities": [0.10228472684526303, 0.6377089454731641], "optimization_time": 149.17011260986328} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "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];
cry(1.5486) q[1], q[4];
cry(1.228) q[4], q[1];
cry(1.57) q[1], q[5];
cry(1.5486) q[1], q[6];
cry(-1.5158) q[7], q[0];
ry(0.9382) q[7];
cry(1.547) q[5], q[3];
cry(1.3483) q[4], q[2];
cry(0.2871) q[... | 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];\ncry(1.5486) q[1], 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] = mea... |
a9d659a07c5ecced76200691156cd5b6 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21802, 21930], "expectation_value": -1.6205970020291471, "params": [[0.3386, 1.5882, 0.28500000000000003, 1.5791000000000002, 0.2954, 1.5889, 0.299, 1.5550000000000002, 0.3259, 0.32380000000000003, 1.5783, 0.2871, 1.5842, 0.28300000000000003, 1.594, 1.528], [0.28350000000000003, 1.5821, 0.2917, 1.5868, 0.29... | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010000000000000002 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0010000000000000002 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.023124999999955], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023124999999941, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.3386) q[0];
ry(1.5882) q[1];
ry(0.285) q[2];
ry(1.5791) q[3];
ry(0.2954) q[4];
ry(1.5889) q[5];
ry(0.299) q[6];
ry(1.555) q[7];
ry(0.3259) q[8];
ry(0.3238) q[9];
ry(1.5783) q[10];
ry(0.2871) q[11];
ry(1.5842) q[12];
ry(0.283) q[13];
ry(1.594) q[14];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
1f5d7944e50ebc48c654989c65672b6f | 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": 7}, {"capacity": 3, "source": 1, ... | {"states": [33, 1], "expectation_value": -0.8767797359152651, "params": [[-0.0746, -0.0809], [0.0724, 0.0746]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007463978649530973, 0.008646352894846608], "optimization_time": 3.169464349746704} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0746) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1119) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0373) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(-0.1492) q[7];
cx q[0], q[7];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6891600821603528270 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 4], [2, 5, 6], [1, 2, 5], [0, 3], [8, 3, 4], [0, 8, 2, 5], [8, 1, 3, 6], [0, 2, 6], [8, 2, 6, 7]]} | {"states": [413, 415], "expectation_value": -1.3518130427661736, "params": [[0.37770000000000004], [-0.37920000000000004]], "bitstrings": ["001100010", "001100000"], "total_optimization_steps": 40, "probabilities": [0.00941708899141929, 0.010006078629175859], "optimization_time": 5.2102813720703125} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["001100000"]} | 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(0.2518) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.1259) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.1259) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(0.3147) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1623, 988], "expectation_value": -2.7068734688343015, "params": [[0.08, 0.0751, 0.0785], [-0.08850000000000001, -0.07970000000000001, -0.08080000000000001]], "bitstrings": ["00110101000", "10000100011"], "total_optimization_steps": 10, "probabilities": [0.0018780676185795253, 0.0018780676185795255], "optimi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.08) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.08) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
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