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 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b8ec675dd91ebbd5410a74dcc6fca3e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [513, 1], "expectation_value": -25.033671153593428, "params": null, "bitstrings": ["0111111110", "1111111110"], "total_optimization_steps": 38, "probabilities": [0.06765533497950789, 0.91577919506211], "optimization_time": 70.0602159500122} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14916739820445582) q[0];
rz(-0.3912915985680794) q[0];
rx(0.1029503393944192) q[1];
rz(-0.26317471384044877) q[1];
rx(0.026865085770989703) q[2];
rz(0.27389728934415425) q[2];
rx(0.1029503393944192) q[3];
rz(0.15026689661186277) q[3];
rx(0.10295033939441921) q[4]... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5709) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IZIIIIZIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZZIIIIIII"... | [
-1,
-1,
-0.25,
-1,
-1,
-1,
-1,
-0.5,
-0.75,
-1,
-1,
-0.5,
-0.25,
-0.75,
-2,
-1,
-0.25,
-1,
-0.75,
-0.5,
-1,
-0.75,
4.25,
-0.5,
1.75,
-0.25,
0.25,
-0.25,
-2.25,
0.5,
-2.75,
-1.25,
1.25,
3
] | 0.976029 | [
-0.1491673982044558,
-0.34816677335191004,
0.1029503393944192,
-0.23727642968270657,
0.0268650857709897,
0.2902393978826723,
0.08763555842106088,
-0.05853565875678633,
0.012603592151487368,
-0.19938294809299215,
0.19741101635126057,
-0.14075336813514608,
0.08771163607100986,
-0.17697626804... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 8 |
347cd23786ada5a7ec96f3799dd0d8dc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [118, 117], "expectation_value": -12.999166743528694, "params": [[-0.0258, 0.0582], [0.0366, -0.068]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.007710211218239924, 0.00973790124536585], "optimization_time": 3.055920362472534} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5.5,
4.5,
18,
13.5,
2.5,
16.5,
9,
13.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
9915ff93784d747e82bcd9a73a2399e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [1, 3], "expectation_value": -2.956134962485808, "params": [[[0.3801, -0.2059], [0.5414, -0.1259], [0.5497000000000001, -0.12560000000000002], [0.7865000000000001, 0.0026000000000000003], [0.7931, 0.0026000000000000003]], [[0.38430000000000003, 0.0068000000000000005], [0.5424, 0.0044], [0.5522, 0.00060000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
6217701456967150430 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 3, 4], [1, 3]]} | {"states": [22, 19], "expectation_value": -0.6142917958561274, "params": null, "bitstrings": ["01001", "01100"], "total_optimization_steps": 25, "probabilities": [0.15909846184786483, 0.21137654843938927], "optimization_time": 17.90394377708435} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.125 * Z(2) + 0.125 * Z(0) + 0.125 * Z(3) + 0.125 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["11000", "00010", "01001", "01100"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
ry(-0.6034990866105665) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(0.6034990866105665) q[1];
cx q[3], q[1];
ry(-0.7187621010965967) q[1];
ry(1.4235669581270096) q[3];
h q[4];
cx q[4], q[3];
ry(0.061934748777030695) q[3];
cx q[4], q[3];
cx q[4], q[1];
ry(0.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIZII",
"ZIIIZ",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.125,
0.125,
0.125,
0.125,
0
] | 0.971856 | [
-1.206998173221133,
1.4855017069040404,
-0.6984563151377468,
-0.12386949755406139,
0.09820602157309365,
-0.040611571917700234,
0.003969764078150653,
0.6685487605473359,
0.040366552838956085,
0.3564164110383152,
-1.0099748205849797,
-0.6447694032573394,
-0.0548367936447193,
0.94968066960356... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -0.75,
"target_ratio": 0.97,
"target_value": -0.7275
} | 19 |
-1800473135719683091 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2, 3], [0, 1, 2], [0, 1, 4], [0, 1, 3]]} | {"states": [31, 23], "expectation_value": -0.6715424468975318, "params": [[[2.5613, 0.0032], [1.5357, 0.0022], [2.6395, 0.009000000000000001], [2.6447000000000003, 0.0061], [2.6689000000000003, 0.001]]], "bitstrings": ["00000", "01000"], "total_optimization_steps": 270, "probabilities": [0.36909883414741723, 0.39594002... | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * Z(2) + 0.6666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["01000"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(2.9510167644086165) q[0];
rz(0.003243316114496575) q[0];
rx(0.11141629480881586) q[1];
rz(0.682135940649218) q[1];
rx(3.2269188104807145) q[2];
rz(0.6667586330825527) q[2];
rx(2.8289956152990827) q[3];
rz(0.6256774094980223) q[3];
rx(2.846414487997994) q[4];
rz(-0.67... | 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": []} | [
"IIZZI",
"IZZII",
"IZIZI",
"IIZIZ",
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZII",
"IIIZI",
"IZIII",
"IIIIZ",
"ZIIII"
] | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.6666666666666666,
0.3333333333333333,
0.4999999999999999,
0.16666666666666666
] | 0.971598 | [
2.9510167644086165,
0.003243316114496575,
0.11141629480881586,
0.682135940649218,
3.2269188104807145,
0.6667586330825527,
2.8289956152990827,
0.6256774094980223,
2.846414487997994,
-0.6770182179120556
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 11 |
-1102854164905697531 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 5, 7, 8], [1, 5, 7], [0, 3, 6], [0, 1, 5], [0, 2, 3], [8, 9, 4, 7]]} | {"states": [765, 701], "expectation_value": -1.041807656898063, "params": [1.3535000000000001, 1.3489, 0.7101000000000001, 0.7026, 1.2441, 1.2331, 0.7463000000000001, 0.7418, 0.9185000000000001, 1.0536, 1.3828, 1.3828, 1.3047, 1.2799, 1.2997, 1.2925, 0.7512000000000001, 0.7459, 1.2922, 1.3191000000000002, 0.27390000000... | 0.3833333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(0)) + 0.05 * (Z(8) @ Z(5)) + 0.13333333333333333 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z... | 13 | 10 | 1 | {"smallest_eigenvalues": [-1.7833333333333339], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7833333333333337, "smallest_bitstrings": ["0101000010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7027878657135689) q[0];
rz(0.06013107959774183) q[0];
ry(0.8399586859925178) q[1];
ry(1.5790017594991739) q[2];
ry(-0.2192379110283247) q[3];
ry(-0.2619076992578777) q[4];
ry(1.6157835324724543) q[5];
ry(1.6171148751040423) q[6];
ry(1.436282302531227) q[7];
ry(1.3... | 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": []} | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZZIIIIIII",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIIIIZZII",
"IIIIIIIZIZ",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIZIIZIIII"... | [
0.3833333333333333,
0.05,
0.21666666666666667,
0.05,
0.05,
0.21666666666666667,
0.05,
0.05,
0.05,
0.13333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.083333333333333... | 0.974604 | [
1.7027878657135689,
0.8399586859925178,
1.5790017594991739,
-0.2192379110283247,
-0.2619076992578777,
1.6157835324724543,
1.6171148751040423,
1.436282302531227,
1.30445998490633,
1.3935247594502642,
0.12026215919548366,
-0.17788362079028908,
0.2782341378780877,
0.23597071976338047,
0.007... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -1.7833333333333339,
"target_ratio": 0.97,
"target_value": -1.7298333333333338
} | 36 |
45c48c466e00470cf641036d69f767c9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [2044, 4092], "expectation_value": -9.386599581494034, "params": [-0.11470000000000001, 0.9745, 0.47050000000000003, 0.0078000000000000005, 0.6167, 0.4908, -0.45470000000000005, 0.006500000000000001, 0.7766000000000001, 0.6413, -0.5744, 0.0016, -0.8848, 0.796, 0.3931, 0.0091, -0.7616, -1.9445000000000001, 0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000000000", "000000000011"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.19564333456382849) q[0];
h q[1];
ry(0.21805059618412898) q[1];
h q[2];
cx q[2], q[1];
ry(-0.21805059618412898) q[1];
cx q[2], q[1];
cx q[1], q[0];
ry(-0.19564333456382849) q[0];
cx q[1], q[0];
ry(1.1972176074641714) q[1];
ry(1.5336327587976182) q[2];
h 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[... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.971845 | [
0.28627230736705844,
0.8320518835651478,
0.32742903140865054,
1.3400269373890548,
1.72611070311501,
0.43610119236825795,
1.5336327587976182,
0.39128666912765697,
0.09728929910355727,
1.1972176074641714,
-0.309693043956669,
0.22941171678183495,
-0.03979081232038632,
0.030613172403507555,
... | {
"n_parameters": 66,
"n_qubits": 12,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 114 |
26c69df1cbd87e9b924a817cf8bf46fd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 362], "expectation_value": -65.15035479718516, "params": [0.8907, 0.1373, 0.4549, 0.2388, 0.9026000000000001, 0.0089, 0.8916000000000001, -0.1202, 0.049, -0.4365, 0.9044000000000001, 0.1252, -0.0028, 0.5347000000000001, 0.9006000000000001, 0.0666, -0.0015, 0.5992000000000001, 0.8917, 0.1593, 0.4531, 0.... | 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 7.0 * Z(1) + 12.5 * Z(3) + 19.0 * Z(2) + 21.0 * Z(0) + -1.5 * Z(4) + 8.5 * Z(5) + -4.0 * Z(6) + -1.0... | 18 | 9 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.489379754035579) q[0];
rz(-0.15368444401160453) q[0];
rx(-0.06901109091992301) q[1];
rz(0.20223610164488565) q[1];
rx(1.5970477947837538) q[2];
rz(-0.0955809105587451) q[2];
rx(1.3460687810311611) q[3];
rz(0.16974681813310968) q[3];
rx(0.06431240555824613) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIZIIIIZ",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7,
12.5,
19,
21,
-1.5,
8.5,
-4,
-1,
-6
] | 0.972324 | [
1.489379754035579,
0.25477677697501017,
-0.06901109091992301,
0.20223610164488565,
1.5970477947837538,
-0.0955809105587451,
1.3460687810311611,
0.16974681813310968,
0.06431240555824613,
0.24495177620830222,
1.2797695888365972,
0.3053756121542259,
-0.029137036690071685,
0.4834158204026695,
... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 10 |
8af1769b957d177002d552b932acce1c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2376, 2504], "expectation_value": -152.47898758281352, "params": [[0.6315000000000001, -0.0911, 0.0035, 0.7902, -0.00030000000000000003, 0.7837000000000001, 0.0198, -0.063, 0.6363, -0.05, 0.004, -0.051300000000000005], [0.6321, -0.0041, 0.0034000000000000002, 0.744, -0.0112, 0.7917000000000001, -0.007500000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11... | 10 | 12 | 4 | {"smallest_eigenvalues": [-173.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -151.5, "smallest_bitstrings": ["011000110111"], "largest_eigenvalue": 271.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.7658127421205589) q[0];
ry(-0.17589027263628096) q[1];
ry(0.024778040976280225) q[2];
ry(0.8887888519027018) q[3];
ry(0.3357551744211173) q[4];
ry(0.8411459121021957) q[5];
ry(0.051502409530346606) q[6];
ry(0.07065299044985404) q[7];
ry(0.7407670963045073) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIZIII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIZIZIIII",
"IIIIIIZIZIII",
"IIIIIZZIIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIZIIIZIII",
"IIIZZIIIIIII",
"IIZIIIIIIIIZ",
"IIZIIIIZIIII",
"ZIIIIIZIIIII",
"ZIIZIIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIIZ... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
-3,
23.5,
9.5,
30,
32.5,
14,
0.5,
0.5,
1.5,
-15,
-12.5
] | 0.970489 | [
0.7658127421205589,
-0.17589027263628096,
0.024778040976280225,
0.8887888519027018,
0.3357551744211173,
0.8411459121021957,
0.051502409530346606,
0.07065299044985404,
0.7407670963045073,
-0.025503381214211918,
0.1848433397253521,
0.0953894996907989,
0.6853460899538883,
-0.00341873132660968... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -173.5,
"target_ratio": 0.97,
"target_value": -168.295
} | 15 |
f7c0ee1d4c77af9b2736662ef168c92d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -0.3896167649430041, "params": [[0.0609], [-0.0504]], "bitstrings": ["11111", "00111"], "total_optimization_steps": 10, "probabilities": [0.03769957051598913, 0.038605055108787895], "optimization_time": 0.732323408126831} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.45152466802334346) q[0];
rz(1.4066147797774988) q[0];
rx(-0.07143626986274479) q[1];
rz(1.8533040800607736) q[1];
rx(-0.030778545034726844) q[2];
rz(1.5910727584465842) q[2];
rx(0.15712476886296356) q[3];
rz(2.0196619033152476) q[3];
rx(-0.3403221302148819) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x1) q[4];
cx q[3... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZZII",
"ZZIII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
-1,
-2,
-2,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.972686 | [
0.4515246680233434,
-0.1641815470173972,
-0.0714362698627448,
0.2825077532658756,
-0.030778545034726844,
0.020276431651687563,
0.15712476886296356,
0.4488655765203511,
-0.3403221302148819,
-0.34670949748275537,
-0.3200738175387166,
0.07153531278562773,
0.20466436245071123,
0.04228546784642... | {
"n_parameters": 71,
"n_qubits": 5,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 62 |
19409c886377e7d64541cdf026259d70 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -14.271875411867041, "params": [[[-0.45080000000000003, 0.1121, 0.0074, 0.0055000000000000005], [0.0047, 0.3235, -0.0115, 0.386], [0.5084000000000001, -0.007200000000000001, 0.5048, 0.021500000000000002], [0.0025, 0.1476, 0.0023, 0.2558], [-0.0043, 0.21050000000000002, 0.0004, ... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + 2.25 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(10)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(7) @ Z(3)) + -1.5 * (Z(... | 11 | 11 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.6965900739685822) q[0];
rz(-0.18455265108143507) q[0];
ry(0.10984055312187999) q[1];
rz(0.5181527604600088) q[1];
cx q[1], q[0];
ry(-0.8695728410095254) q[0];
rz(0.2059827164395751) q[0];
ry(-0.0007686524723244312) q[1];
rz(0.48721249351813994) q[1];
ry(0.7443080... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"ZIIIIIIIIIZ",
"ZIIIIIIZIII",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIZIIIIZI",
"ZIIIZIIIIII",
"IIIZIIIZIII",
"ZIIZIIIIIII",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZII... | [
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
2.25,
-0.5,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-1.25,
-0.75,
-0.5,
-0.75,
-1.5,
-0.25,
0.25,
-0.25,
-1,
1,
1,
1.25,
-0.75,
-1,
-0.25,
-0.5,
0.25
] | 0.973395 | [
-0.6965900739685822,
-0.18455265108143507,
0.10984055312187999,
0.5181527604600088,
0.7443080017527093,
-0.2951730729826589,
-0.08693761311571335,
-0.13156796127208625,
-0.19555450608465652,
0.20343642239106946,
0.07634173653926216,
-0.1845798281791549,
-0.07288639595849,
0.217550238863245... | {
"n_parameters": 138,
"n_qubits": 11,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 134 |
-3517122334671635697 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [1, 3], [3, 6], [0, 8], [8, 5], [1, 7], [1, 4], [6, 7], [1, 2], [3, 7], [8, 7]]} | {"states": [161, 350], "expectation_value": -0.018702092416168947, "params": [[-0.0238], [0.0359]], "bitstrings": ["101011110", "010100001"], "total_optimization_steps": 10, "probabilities": [0.0020000165689364672, 0.0020000165689364672], "optimization_time": 0.6329691410064697} | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["110001100", "001110001", "010100001", "001110011", "101011110", "110001110", "101111010", "010000101"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.3746844875815204) q[0];
rz(1.3110369261039168) q[0];
rx(3.1380957960035345) q[1];
rz(2.1819797312777176) q[1];
rx(0.2528156822506559) q[2];
rz(1.830683892654867) q[2];
rx(0.48191703823807935) q[3];
rz(1.2536868592960735) q[3];
rx(-0.17096366683247538) q[4];
rz(0.31... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];... | null | {"circuits": [], "gradients": []} | [
"ZIZIIIIII",
"IIZIIZIII",
"IIIIIZIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIIIIZI",
"IIIIZIIZI",
"IIIIIIZZI",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971026 | [
0.3746844875815204,
-0.2597594006909799,
3.1380957960035345,
0.6111834044828207,
0.252815682250656,
0.2598875658599703,
0.48191703823807946,
-0.3171094674988232,
-0.17096366683247538,
-1.2560456930557635,
0.0757737349815106,
0.5945983271914261,
0.7394849312335493,
-0.052940227169971654,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 107 |
-2336214338362953603 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 6, 7], [3, 4, 6], [5, 6], [0, 4], [1, 2], [4, 6, 7], [1, 3, 4], [3, 5], [0, 3, 7], [1, 5]]} | {"states": [210, 211], "expectation_value": -1.3806735216363564, "params": [[0.37310000000000004], [-0.372]], "bitstrings": ["00101101", "00101100"], "total_optimization_steps": 40, "probabilities": [0.021499057380580847, 0.02359854045621506], "optimization_time": 2.9765408039093018} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["00101100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04631133368086774) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.04631133368086774) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.04631133368086774) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
rz(0.046311... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIZIIZ",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIIZ",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
... | 0.531024 | [
0.04631133368086774,
0.1260061585808825,
0.013073411126423082,
0.7434502320014614,
0.16368918479233233,
0.1907846429832962,
-0.9770473755347332,
1.2119065984180093,
-0.8585378874363866,
-0.9655661515377857
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 223 |
726a5ae01318539d56f80c3be6bbd791 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [13, 18], "expectation_value": -0.6792760186444107, "params": [[0.061000000000000006, 0.0317, -0.0125, -0.0563], [-0.07060000000000001, -0.0449, -0.032100000000000004, 0.005200000000000001]], "bitstrings": ["110010", "101101"], "total_optimization_steps": 10, "probabilities": [0.01964501078344016, 0.02072803... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5
] | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
74e5b8afd1f04f850c8f51ecde3fef19 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [6, 18], "expectation_value": -3.911631293737013, "params": null, "bitstrings": ["111001", "101101"], "total_optimization_steps": 18, "probabilities": [0.06012645497830037, 0.7888190124886368], "optimization_time": 11.94543170928955} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111100", "101101", "111001", "110011", "100111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3288835488220096) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3288835488220096) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3288835488220096) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(-0.3288835488220096) q[0];
cx q[3], q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-0.5,
-1.5
] | 0.710578 | [
-0.3288835488220096,
-0.4569013984649304,
0.39546902870984457,
-0.3214849664719219,
0.9367080556633262,
0.16515648853293044,
-0.1360939212779516,
0.39540444651921214,
0.8277812160071212,
-0.22629743565087163,
-0.6257377300833731,
0.5468911503864696,
0.21370137785717494,
0.4954772027731417,... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 500 |
-5591920024589002738 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [1, 3, 4, 6, 7], [5, 7], [0, 4]]} | {"states": [241, 124], "expectation_value": -0.0432757663561416, "params": [[0.0796], [-0.0867]], "bitstrings": ["00001110", "10000011"], "total_optimization_steps": 10, "probabilities": [0.004265894147880133, 0.004265894147880134], "optimization_time": 0.644740104675293} | 0.5 * (Z(2) @ Z(6)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.1000000000000002 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, -1.7000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.28582132193928705) q[0];
h q[1];
ry(-0.12550851487082385) q[1];
h q[2];
ry(-0.28582132193928705) q[2];
h q[3];
cx q[3], q[1];
ry(0.12550851487082385) q[1];
cx q[3], q[1];
ry(-0.17692205807016637) q[3];
cx q[1], q[3];
ry(0.17692205807016637) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(x1) q[1];
cx q[6], q[1];
cx q[6], q... | null | {"circuits": [], "gradients": []} | [
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIIZIZI",
"IZIZIIII",
"IIIZIIZI",
"IIIZZIII",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIZIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIIZ"
] | [
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.1000000000000002,
0,
0.1,
0.1,
0.09999999999999998,
0.09999999999999998,
0,
0
] | 0.971097 | [
-0.5716426438785741,
1.0869748377746675,
-0.6953366291260777,
0.9309561032368576,
0.8918884793684811,
-0.521692355848526,
-0.6244977524811653,
0.43480224584229776,
0.37177939058068354,
0.11891528224508932,
-0.3685725212967625,
-0.4556133433207383,
-0.48347545663476865,
0.20979298851322675,... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -1.7000000000000002,
"target_ratio": 0.97,
"target_value": -1.649
} | 12 |
e6f5f7344f65c4a1f156bb9648ed863a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, ... | {"states": [78, 77], "expectation_value": -5.499144858283865, "params": null, "bitstrings": ["0110001", "0110010"], "total_optimization_steps": 34, "probabilities": [0.06552908063229994, 0.9338662614322454], "optimization_time": 36.806008100509644} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110010", "0110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1374338262775128) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5141024789065256) q[1];
h q[2];
ry(-1.5141024789065256) q[2];
h q[3];
ry(1.4590942705866212) q[3];
h q[4];
ry(1.4590942705866212) q[4];
h q[5];
ry(-0.5141218154998566) q[5];
h q[6];
cx q[6], q[5];
ry(0.5141218154... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZZII",
"IZIIIZI",
"IZIIZII",
"IIZIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
0,
-0.5
] | 0.997421 | [
-1.5141024789065256,
1.4590942705866212,
-1.0282436309997132,
0.7068623946813855,
-0.3995033358839512,
0.5047482531940948,
-0.4899081905812286,
0.27040199392320335,
-0.22448066528365312,
0.21508645779198987,
0.11251527262301743,
0.13551759362693228,
0.036679109681780155,
-0.042493123121424... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
9325960b1637dc394e7dc9dd3fcbad13 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [4044, 4047], "expectation_value": -13.055370896555905, "params": null, "bitstrings": ["000000110011", "000000110000"], "total_optimization_steps": 100, "probabilities": [0.11841457849977723, 0.35503153150367645], "optimization_time": 209.98602747917175} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(4) + -1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000110000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.13481449337706808) q[0];
ry(-0.09125046950375937) q[1];
ry(-0.028463240667156955) q[2];
ry(-0.2048977980645706) q[3];
ry(0.0658760941561959) q[4];
ry(-0.027593696410604884) q[5];
ry(-0.028463240667156955) q[6];
ry(0.05504733802035046) q[7];
ry(-0.1964499520548427... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5681) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIIIZIIIIII",
"IIZIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.972216 | [
-0.13481449337706808,
-0.09125046950375937,
-0.028463240667156955,
-0.2048977980645706,
0.0658760941561959,
-0.027593696410604884,
0.05504733802035046,
-0.19644995205484272,
-0.0867611013453599,
-0.05203035528621828,
0.1347042266019476,
3.1559381331732026,
-0.005532604559321544,
0.08259236... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 35 |
67033ba6b1f4664b367380b6b737a7e4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [320, 352], "expectation_value": -8.91863454504891, "params": [0.8086, -0.0016, 0.8041, 0.0017000000000000001, -0.002, -0.44380000000000003, -0.002, 0.0032, 0.8034, 0.001, 0.8031, 0.0009000000000000001, 0.7916000000000001, -0.0022, 0.7949, 0.0008, 0.0013000000000000002, -0.4112, 0.0004, 0.0076, 0.2634, -0.32... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["010011111"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.1264556308283267) q[0];
rz(0.2700879800760059) q[0];
rx(0.0065726968849270685) q[1];
rz(-0.1523609457794884) q[1];
cx q[1], q[0];
rz(-0.3569775401318694) q[0];
cx q[1], q[0];
rx(1.515844990198464) q[0];
rz(0.17799051091945653) q[0];
rx(0.006572696884927069) q[1];
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": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIZIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IZIZIIIII",
"ZIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-2,
-2.5,
-2.5,
-2.5,
-2,
-2,
-2
] | 0.978074 | [
1.1264556308283267,
-0.08688956005586339,
0.0065726968849270685,
-0.1523609457794884,
1.3854226369760103,
0.033413742636848875,
1.6389229878241265,
0.10091081500305224,
-0.35603228561455824,
-0.7198524213195683,
-0.011349382359357708,
-0.6343057124495016,
-0.023232446348339854,
0.036233564... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 15 |
520b4019fb4986d4ab684733a5ebe8d8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [230, 220], "expectation_value": -6.067748541632133, "params": [[-0.034800000000000005], [0.0442]], "bitstrings": ["100011001", "100100011"], "total_optimization_steps": 10, "probabilities": [0.002964259008318501, 0.0032220710228262135], "optimization_time": 3.574129104614258} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4463129710864574) q[0];
rz(-pi) q[1];
ry(-1.2426624200713647) q[1];
ry(-1.1969951662422582) q[2];
rz(-pi) q[2];
h q[3];
ry(1.295402841617871) q[3];
rz(-pi) q[4];
ry(-1.09230066430897) q[4];
ry(-1.0797131317453423) q[5];
rz(-pi) q[5];
h q[6];
ry(7.916716500... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] | 0.970481 | [
62.424019866519146,
62.83252087601606,
37.4514583039102,
7.916716500547319,
62.899917161244026,
-5.327529590648128,
17.8716104702074,
-0.4868593117644719,
-3.671026591069804,
2.913608838439612,
-13.419835438932315,
14.092630322700535,
2.590805683235742,
-1.140616245352763,
0.271174301315... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 50 |
18dd4c426cbe67a44eb1a1feaa80acf2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [51, 119], "expectation_value": -6.903041544118682, "params": null, "bitstrings": ["11001100", "10001000"], "total_optimization_steps": 69, "probabilities": [0.2168824596047679, 0.2675820057610101], "optimization_time": 95.76669812202454} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10011110", "10001000", "10000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.030884823531118308) q[1];
cx q[3], q[1];
h q[4];
cx q[4], q[0];
rz(0.030884823531118308) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.40111922029181324) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.007720559305830536)... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZIIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIZIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-1,
-1.25,
-0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-0.25,
1.25,
-1,
-1.75,
-1.75,
-0.75,
-1.75,
-0.25,
-1,
2,
-0.25,
0.25,
-1.5,
2.5
] | 0.931747 | [
0.030884823531118308,
-0.40111922029181324,
0.007720559305830536,
-0.23315600538113385,
0.24539243476162034,
-0.4806649345399758,
0.17063070767241398,
-0.008540380939666133,
-1.7059085606254492,
1.636041258700253,
-0.9195588453897449,
1.2680234351244943,
0.021909361287217762,
-0.3369092285... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
-8634747951560216277 | hypermaxcut | qaoa | {"nodes": [0, 1, 2], "hyperedges": [[0, 2], [1, 2]]} | {"states": [1, 6], "expectation_value": -0.00702566721535304, "params": [[0.047], [-0.0376]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.12675796975291964, 0.12675796975291964], "optimization_time": 0.8970425128936768} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "001"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-0.440417733660341) q[2];
cx q[1], q[2];
ry(0.440417733660341) q[2];
cx q[1], q[2];
ry(-0.2664008506021484) q[2];
cx q[0], q[2];
ry(0.2664008506021484) q[2];
cx q[0], q[2];
ry(1.5179207901296758) q[1];
ry(0.7238748902976988) q[0];
cx q[1], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
rz(x1) q[2];
rz(x1) q[0];
rz(x1) q[1];
h q[0];
rz(x2) q[0];
h q[0];
h q[1];
rz(x2) q[1];
h... | null | {"circuits": [], "gradients": []} | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
0,
0,
0
] | 0.985379 | [
-0.880835467320682,
1.5179207901296758,
-0.5328017012042968,
1.4477497805953976,
0.11302536243828123,
-0.8265195291243941,
0.21007196722240157,
-1.314017585394491,
-0.6355515021536713
] | {
"n_parameters": 9,
"n_qubits": 3,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 10 |
1001699526581689469 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 11], [0, 8], [1, 7], [2, 3], [0, 4], [11, 5], [1, 6], [0, 9], [10, 11]]} | {"states": [1740, 1742], "expectation_value": -0.025657416304786587, "params": [[[1.4929000000000001, 0.0024000000000000002], [1.659, 0.0054], [1.6293, 0.0021000000000000003], [1.4962, 0.006200000000000001], [1.6384, 0.0005], [1.6425, 0.0032], [1.4748, 0.0018000000000000002], [1.4751, 0.006900000000000001], [1.6344, 0.... | 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(10) @ Z(11)) + 0.0 * Z(11) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100110001", "111001000010", "110100000001", "101001110010", "000110111101", "001011111110", "010110001101", "011011001110"], "largest_eigenvalue": 4.5... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.016515125550674508) q[0];
rz(-1.1709874613851912) q[0];
rx(2.97849478585029) q[1];
rz(0.6025769417269156) q[1];
rx(3.2315438209713934) q[2];
rz(-0.19415907147168837) q[2];
rx(-0.06636655387426496) q[3];
rz(0.36336930182688454) q[3];
rx(3.277728431453388) q[4];
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": []} | [
"ZIIIIIIIIZII",
"IIIZIIIIIIIZ",
"IIIIZIIIIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"ZIIIIIZIIIII",
"IIIIIZIIIIZI",
"IIZIIIIIIIIZ",
"ZZIIIIIIIIII",
"ZIIIIIIIIIII",
"IIIIIIIIIZII",
"IIIZIIIIIIII",
"IIIIIIIIIIIZ",
"IIIIZIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976552 | [
0.016515125550674508,
-1.1709874613851912,
2.97849478585029,
0.6025769417269156,
3.2315438209713934,
-0.19415907147168837,
-0.06636655387426496,
0.36336930182688454,
3.277728431453388,
1.4046390292343234,
3.1695059909539873,
-0.34425497202236244,
0.14014260253064106,
2.055054361538118,
0... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 54 |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [93, 85], "expectation_value": -2.8550822102564104, "params": [[-0.0378, -0.0383, -0.0461], [0.045200000000000004, 0.041800000000000004, 0.0426]], "bitstrings": ["10100010", "10101010"], "total_optimization_steps": 10, "probabilities": [0.00868433233228911, 0.008780048784901968], "optimization_time": 4.91337... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.36872562284623683) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0013655158718997333) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.00014135006894810655) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8230635131707402) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIII... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
2.75,
-0.25,
-1,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.5,
-1.25,
3.5,
-0.25,
-1.75,
-2.25,
-0.75,
0.25,
-2.25,
3.5
] | 0.701154 | [
-0.36872562284623683,
0.0013655158718997333,
0.00014135006894810655,
-0.8230635131707402,
0.436838185920855,
-0.026107577769653063,
0.6164086498279017,
0.0005290909695814357,
-1.5695427040038046,
1.5735797033135825,
-1.5707911703690771,
1.5642689749322976
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 323 |
-6290337471314332232 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [8, 0], [5, 7], [5, 6], [0, 1, 5], [2, 3], [4, 7]]} | {"states": [422, 217], "expectation_value": -0.7289964914046676, "params": [[-0.2622], [0.2751]], "bitstrings": ["001011001", "100100110"], "total_optimization_steps": 30, "probabilities": [0.006558521281943141, 0.006559639617828186], "optimization_time": 2.4100847244262695} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.0 * Z(8) + 0.1666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335, -3.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["001011001", "100100110"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
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];
cx q[7], q[2];
rz(-0.914033350893669) q[2];
cx q[7], q[2];
cx q[2], q[3];
rz(-0.914033350893669) q[3];
cx q[2], q[3];
rz(0.06459496510876406) q[2];
rx(0.7917133090440015) q[2];
rz(0.06459496510876406) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[0], q[8];
rz(x0) q[8];
cx q[0], q[8];
cx q[7], q[5];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZII",
"ZIIIIIIIZ",
"IZIZIIIII",
"IIIZIIIIZ",
"IIZZIIIII",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIIIZZII",
"IZIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0,
0.16666666666666663,
0,
0.16666666666666652,
0,
0.16666666666666666,
0,
0
] | 0.533759 | [
-0.914033350893669,
-0.2857882743186013,
0.06459496510876382,
0.7917133090440015
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 115 |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [17, 1], "expectation_value": -18.2033545525087, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 39, "probabilities": [0.09184956582734856, 0.7367857029693289], "optimization_time": 40.22103309631348} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], 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(-0.7408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
-806656858732091231 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 11], [0, 2], [9, 6], [0, 10], [2, 3], [1, 5], [10, 11], [3, 7], [2, 11], [0, 9], [2, 7], [0, 7], [9, 10], [0, 1], [0, 3], [2, 5], [8, 10], [1, 9], [0, 5], [5, 7], [11, 4], [2, 4], [3, 4], [0, 4], [4, 6], [10, 3], [9, 7], [1, 6], [8, 6], [11, 5], [8, 0... | {"states": [566, 567], "expectation_value": -3.0851663201773487, "params": [0.45380000000000004, 0.4501, 0.4685, 0.4625, 1.155, 1.1522000000000001, 0.4186, 0.42100000000000004, 0.459, 0.4591, 0.4174, 0.4162, 1.1649, 1.1652, 1.1143, 1.107, 0.4107, 0.4101, 1.157, 1.1563, 1.1285, 1.1308, 0.8749, 0.8737, -0.3981, 0.0, 0.40... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(4)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z... | 13 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["001000110111", "110111001000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.16901149417658226) q[0];
rz(-0.22690385758322346) q[0];
ry(0.18315286075411116) q[1];
ry(2.2634645444150023) q[2];
ry(0.2910008189161621) q[3];
ry(0.15058380073214067) q[4];
ry(0.3594434896593778) q[5];
ry(1.7532784833619026) q[6];
ry(1.485417854864477) q[7];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIZIIIIIIII",
"IIIIIIIIZZII",
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"ZIIIIIIIIZII",
"IIIZIIIIIZII",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIZII",
"IIIIIIIIIIZZ",
"ZIIIIIIIIIZI",
"IIIZIIIIIIZI",
"IIIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
... | 0.975051 | [
-0.16901149417658226,
0.18315286075411116,
2.2634645444150023,
0.2910008189161621,
0.15058380073214067,
0.3594434896593778,
1.7532784833619026,
1.485417854864477,
-0.007754506863019053,
1.4537798778785953,
2.2162696383718288,
1.9007413352040199,
-0.4538077151664469,
-0.2509194195084395,
... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 39 |
1a8285c95658dccc914ba0a3d2d1900f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [83, 211], "expectation_value": -2.876644672304541, "params": [-0.006900000000000001, 0.45120000000000005, -0.008, 0.007, 0.2157, -0.32930000000000004, 0.21300000000000002, 0.0037, 0.8382000000000001, 0.0017000000000000001, 0.8377, 0.0095, 0.9019, -0.001, 0.9048, 0.0026000000000000003, 0.8769, 0.5335, 0.7746... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -0.5 * Z(5) + -1.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.... | 7 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100011110", "1100101100", "1101100100", "1100011100", "1011100001", "1011100100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.057518411274863346) q[0];
rz(0.4134582681315142) q[0];
rx(-0.08898253429838116) q[1];
rz(0.3774625350567937) q[1];
cx q[1], q[0];
rz(-0.22796972375187527) q[0];
cx q[1], q[0];
rx(-0.23894042576408264) q[0];
rz(0.10626085039754865) q[0];
rx(0.19056021548217125) 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": []} | [
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"IIIZIIZIII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIZIIIIZII",
"IIIIZZIIII",
"IIIZIZIIII",
"ZIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIIIZIIII",
"ZIIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
0,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.97341 | [
0.057518411274863346,
0.1854885443796391,
-0.08898253429838116,
0.3774625350567937,
2.635596489920945,
-0.5298796819732724,
1.719402405796833,
0.36760359226934464,
0.9611044960416036,
-0.7530778835030054,
1.796427295586818,
0.46248240501592236,
-0.36853028744463673,
-0.03241994941560512,
... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 65 |
fd9320956c214e5ba4d50c0bb63f5f4a | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [8160, 8128], "expectation_value": -35.30250329914814, "params": null, "bitstrings": ["0000000011111", "0000000111111"], "total_optimization_steps": 100, "probabilities": [0.09361546736977742, 0.1797573821371604], "optimization_time": 366.7339332103729} | -3.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.5 * (Z(2) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(3)) + -3.5 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(3)) + -3.... | 1 | 13 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["0000000111111"], "largest_eigenvalue": 73.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.009756625635590897) q[0];
rz(-0.16062422898297787) q[0];
rx(0.050292394605092536) q[1];
rz(-0.08931919126502955) q[1];
rx(0.009756625635590897) q[2];
rz(0.015603530305387164) q[2];
rx(0.009756625635590897) q[3];
rz(-0.03212377302653631) q[3];
rx(-0.046060571612764... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-1.5709) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIZIII",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIZZIIII",
"IIIIIIZIIIIZI",
"IIIIIIZIIII... | [
-3.5,
-3,
-3.5,
1.5,
-3.5,
1.5,
2,
-3.5,
-3,
1.5,
-3.5,
2,
-3.5,
-3.5,
-3.5,
-3.5,
2,
-3.5,
-3.5,
-3.5,
-3,
-3.5,
1.5,
-3,
-3.5,
2,
-3.5,
1.5,
-3,
1.5,
-3.5,
-2.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-2.5,
... | 0.971311 | [
0.009756625635590897,
-0.16062422898297787,
0.050292394605092536,
-0.08931919126502955,
0.015603530305387164,
-0.03212377302653631,
-0.04606057161276438,
-0.37793321844253114,
-0.01928724016090155,
-0.014334545321011,
2.0392952219701304,
-0.0765525892187533,
0.1008978548201073,
0.074926144... | {
"n_parameters": 21,
"n_qubits": 13,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 6 |
a3571c19d72a014065614d323aff3379 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [52, 7], "expectation_value": -1.8256362715864871, "params": [[-0.0291, 0.047, 0.057300000000000004], [0.0562, -0.0281, -0.041800000000000004]], "bitstrings": ["001011", "111000"], "total_optimization_steps": 10, "probabilities": [0.020193238336585297, 0.020372418559296994], "optimization_time": 5.6842219829... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 6 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 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": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.5,
-1,
-0.25,
-0.25,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
-4376730360070844524 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [0, 1], [1, 3, 5], [3, 4], [0, 6]]} | {"states": [74, 57], "expectation_value": -0.04334374913874308, "params": [[0.06720000000000001], [-0.0728]], "bitstrings": ["0110101", "1000110"], "total_optimization_steps": 10, "probabilities": [0.008505445050668343, 0.008505897810647527], "optimization_time": 1.2089788913726807} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.16666666666666663 * Z(1) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["0110101", "1000110", "1001000"], "largest_eigenvalue": 2.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.15061000428111818) q[0];
h q[1];
ry(1.444008718383097) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.15061000428111818) q[4];
cx q[3], q[4];
ry(0.15061000428111818) q[4];
cx q[3], q[4];
ry(0.973208015239006) q[3];
cx q[1], q[3];
ry(-0.21734434613309012) q[3];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIIZZ",
"IIIZIZI",
"IZIIIZI",
"IZIZIII",
"IIZZIII",
"ZIIIIIZ",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0,
0.16666666666666663,
0.16666666666666663,
0.16666666666666666,
0,
0
] | 0.976815 | [
-0.30122000856223635,
1.444008718383097,
-0.37729077710146425,
1.4570085845463192,
1.1510173379726942,
-0.9450223133333601,
0.7558636691059158,
-0.5999739377217299,
0.43468869226618023,
-0.6298424519610241,
0.07533181386399582,
-0.9169987001816537,
0.4236947265923818,
0.21390852502775792,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 16 |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -21.516656764649195, "params": [[0.008400000000000001, -0.0357, 0.00030000000000000003, -0.00030000000000000003], [-0.0164, 0.0618, 0.058600000000000006, 0.0618]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.011690035971042604, ... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.0525935599156801) q[0];
rz(0.2970493753315515) q[0];
ry(-0.05280238195070901) q[1];
ry(1.9145293619602348) q[2];
ry(0.11896541183831788) q[3];
ry(1.6776262128736183) q[4];
ry(1.5989812940360673) q[5];
ry(1.6042391584874556) q[6];
ry(0.26475625811985654) q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
15.5,
1.5,
15.5,
8.5,
5.5,
22,
7,
8
] | 0.981549 | [
-0.0525935599156801,
-0.05280238195070901,
1.9145293619602348,
0.11896541183831788,
1.6776262128736183,
1.5989812940360673,
1.6042391584874556,
0.26475625811985654,
0.594098750663103,
-0.5369054493384858,
-0.1577385704159672,
0.24970879240192104,
0.9304805543958563,
0.24429898188147828,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
bb94fc95e3d2399ab0a553ee86bc119a | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [2044, 2047], "expectation_value": -9.268153595272127, "params": null, "bitstrings": ["00000000011", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.08866641089089049, 0.2657215001118465], "optimization_time": 214.4660406112671} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) | 1 | 11 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000000000", "11000000000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0337159858545584) q[0];
rz(1.3254802367244434) q[0];
rx(-2.7029055459339055) q[1];
rz(1.6855173930529785) q[1];
rx(-1.5643458476710366) q[2];
rz(-3.1297779369385585) q[2];
rx(-1.5261529761990706) q[3];
rz(-3.0675021690505506) q[3];
rx(-2.935345799645677) q[4];
rz... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1,
-1,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.89303 | [
3.2494693213250283,
-0.2453160900704532,
3.5802797612456807,
0.11472106625808234,
-1.5643458476710368,
1.5826110434461316,
-1.5261529761990709,
1.6448868113341397,
-2.935345799645677,
2.722458642384179,
1.3536274534815813,
-1.4151687466712484,
1.3397802362892122,
1.2713440976728159,
3.25... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 500 |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [427, 238], "expectation_value": -0.22328627862869782, "params": [[0.055200000000000006], [-0.045000000000000005]], "bitstrings": ["001010100", "100010001"], "total_optimization_steps": 10, "probabilities": [0.002154140686526065, 0.0021541406865260675], "optimization_time": 3.3419430255889893} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1,
1.25,
1.25,
1.25,
1.25
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
5255497973117942882 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 7], [1, 3, 4], [1, 3, 5, 6, 7], [2, 6], [0, 3, 5, 6], [1, 2, 4, 5, 7], [0, 1, 6], [0, 1, 4, 7], [1, 4, 6], [3, 4, 6, 7], [2, 3, 4, 7]]} | {"states": [237, 252], "expectation_value": -1.5890075762631446, "params": [[0.3634], [-0.34790000000000004]], "bitstrings": ["00010010", "00000011"], "total_optimization_steps": 40, "probabilities": [0.013664713083842327, 0.014709062218796878], "optimization_time": 4.102254152297974} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.18333333333333335 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.700000000000001, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 10.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.4132419914874768) q[0];
rz(1.5793904930159695) q[0];
rx(1.8553673230463517) q[1];
rz(-0.0008321619083773851) q[1];
cx q[1], q[0];
ry(0.0452489865290556) q[0];
cx q[1], q[0];
ry(1.8439514429404076) q[0];
rz(-1.3655826928193955) q[0];
rx(1.002988514579121) q[1];
rz(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": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"ZIIZIIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIZII",
"IZIIIII... | [
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.3,
0.05,
0.25,
0.21666666666666667,
0.18333333333333335,
0.13333333333333333,
0.08333333333333333,
0.3333333333333333,
0.3,
0.4666666666666667,
0.05,
0.08333333333333333,
0.13... | 0.975418 | [
1.413241991487477,
0.00859416622107264,
1.8553673230463517,
-0.0008321619083773851,
1.3157558278160544,
0.17580733528597842,
1.0803689695191474,
-0.16053562098645927,
2.060785917604367,
-0.30649264761272765,
1.6856139039177225,
0.09531325657162618,
0.1723084112062399,
0.5021740542059342,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -2.7333333333333334,
"target_ratio": 0.97,
"target_value": -2.651333333333333
} | 21 |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -3.996398041568144, "params": null, "bitstrings": ["100011", "010011"], "total_optimization_steps": 25, "probabilities": [0.06635196634064289, 0.9303270202946885], "optimization_time": 17.916450262069702} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IZIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1,
-0.5
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
4aaa125e56185799ad2bd158a4062dac | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.2902007260985266, "params": [[-0.038400000000000004], [0.049]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0011860826844362034, 0.0011950254609096975], "optimization_time": 1.6032214164733887} | -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(1)... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.1424354046833544) q[0];
rz(-pi) q[0];
h q[1];
ry(1.6357309187732048) q[1];
h q[2];
ry(1.6357309187732048) q[2];
h q[3];
h q[4];
ry(0.2929231966718812) q[4];
cx q[3], q[4];
ry(-0.2929231966718812) q[4];
cx q[3], q[4];
cx q[4], q[2];
ry(-1.6357309187732048) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.974635 | [
0.5858463933437624,
3.2714618375464095,
-0.4156098933814716,
2.3050604960220444,
0.6025039477855643,
3.179575549155217,
2.1924789149309776,
-1.5334667610471882,
-1.3993228564192464,
-0.3580399058017901,
-0.0023497857324623825,
0.12103639315876398,
0.2091572595003413,
-0.8444837777245437,
... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 202 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1623, 1751], "expectation_value": -7.485170014837302, "params": null, "bitstrings": ["00110101000", "00100101000"], "total_optimization_steps": 100, "probabilities": [0.49730634434571963, 0.49730634434571963], "optimization_time": 249.9009714126587} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
15981867526b451292338ffade4ee93e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.007421353948179375, "params": [[0.055400000000000005], [-0.0449]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 10, "probabilities": [0.0002515873851114101, 0.00025158738511141016], "optimization_time": 5.243039608001709} | 0.25 * (Z(0) @ Z(1)) + -0.0012755102040816328 * (Z(2) @ Z(0)) + -0.0012755102040816328 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005102... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5221938775510204, -1.5221938775510204], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104591836734698, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5104591836734693} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], ... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0012755102040816328,
-0.0012755102040816328,
0.25,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.000510204081632653,
0.000510204081632653,
0.0007653061224489796,
0.000510204081632653,
0.000510204081632653,
0.00076530612244897... | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [28, 30], "expectation_value": -0.4641701961700505, "params": [[0.0714, 0.0482], [-0.07830000000000001, -0.049600000000000005]], "bitstrings": ["100011", "100001"], "total_optimization_steps": 10, "probabilities": [0.01989679733081251, 0.021370688235413556], "optimization_time": 3.1072402000427246} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -5.7499999999705125, "params": null, "bitstrings": ["111", "110"], "total_optimization_steps": 7, "probabilities": [4.65539676913598e-12, 0.9999999999950338], "optimization_time": 2.1791534423828125} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q... | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
-771408654900260688 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 6, 7], [0, 1, 4, 5, 6, 9], [9, 4, 6, 7], [0, 2, 3, 6, 7], [1, 3, 4, 5], [0, 1, 2, 4, 5, 9], [0, 3, 4], [1, 2, 6, 7, 9], [9, 3, 5, 6], [0, 2, 4, 5, 6, 8], [8, 9, 3, 4], [0, 2, 5, 6, 8, 9], [0, 1, 2, 7, 8, 9], [8, 1, 3, 5], [0, 2, 3, 5, 9], [2, 3, 6, 7, 8... | {"states": [967, 971], "expectation_value": -3.5286033524963414, "params": [1.2934, 0.1373, 1.0348, 0.0019, 1.312, 0.1155, 1.1179000000000001, 0.0013000000000000002, 1.3007, 0.1358, 1.2958, 0.0043, 1.3047, 0.1053, 1.2454, 0.002, 1.0994000000000002, 0.3597, 0.9451, 0.007, 1.2165000000000001, -0.0806, 1.1568, 0.0083, 1.1... | 0.26666666666666666 * (Z(0) @ Z(1)) + 0.36666666666666664 * (Z(4) @ Z(1)) + 0.31666666666666665 * (Z(4) @ Z(0)) + 0.25 * (Z(6) @ Z(1)) + 0.31666666666666665 * (Z(6) @ Z(0)) + 0.2 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(7) @ Z(1)) + 0.3 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(4)) + 0.44999999999999996 * (Z(7) @ Z(6)) + 0.3... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.683333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.533333333333332, "smallest_bitstrings": ["0000110100"], "largest_eigenvalue": 22.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.8533751423088378) q[0];
rz(0.18390723823990207) q[0];
rx(2.176783384829272) q[1];
rz(0.17655888794379715) q[1];
rx(2.164566041401154) q[2];
rz(0.17675442514423034) q[2];
rx(1.2676083032994296) q[3];
rz(0.16785925053272832) q[3];
rx(-0.002325511297450631) q[4];
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": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZZIIIIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII"... | [
0.26666666666666666,
0.36666666666666664,
0.31666666666666665,
0.25,
0.31666666666666665,
0.2,
0.41666666666666663,
0.3,
0.3,
0.44999999999999996,
0.3,
0.3,
0.18333333333333332,
0.24999999999999997,
0.11666666666666667,
0.2,
0.2833333333333333,
0.23333333333333334,
0.383333333333... | 0.9466 | [
1.8533751423088378,
0.18510835429732647,
2.176783384829272,
0.17703897730029666,
2.164566041401154,
0.17544654770926063,
1.2676083032994296,
0.16705987700721228,
-0.0023255112974506307,
1.0641895165797783,
-0.0035174995668744977,
-0.09509654930221421,
0.0281771886597266,
1.5870476111960883... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -4.683333333333332,
"target_ratio": 0.97,
"target_value": -4.5428333333333315
} | 500 |
9ef4e3987f0bff13e6ea62e8bad7961d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [95, 93], "expectation_value": -53.83604086732059, "params": [0.0028, 0.8883000000000001, 0.5925, 0.3513, 1.2037, 0.1888, 0.5807, 0.48000000000000004, 1.2008, 0.0434, 1.2015, -0.0002, 1.2023000000000001, 0.1558, 0.7815000000000001, 0.3297, 1.2008, 0.0233, 0.0028, 0.0055000000000000005, 0.5941000000000001, 0.... | 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(6) @ Z(7)) + 2.5 * Z(1) + 12.0 * Z(2) + 16.5 * Z(5) + 2.0 * Z(3) + 10.0 * Z(4) + 19.5 * Z(8... | 18 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["110100010"], "largest_eigenvalue": 151.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.08857738917364269) q[0];
rz(0.8101244913965022) q[0];
rx(-0.19885514334030036) q[1];
rz(0.09941914146419631) q[1];
rx(1.4993162919044876) q[2];
rz(0.20695054398104212) q[2];
rx(-0.016831487051495897) q[3];
rz(0.6393181846986375) q[3];
rx(1.6423902232464027) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII",
"IIIIIIIIZ"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
2.5,
12,
16.5,
2,
10,
19.5,
4,
13.5,
-10.5
] | 0.97512 | [
0.08857738917364268,
0.7174319826515362,
-0.19885514334030036,
0.09941914146419631,
1.4993162919044876,
0.20695054398104212,
-0.016831487051495897,
0.6393181846986375,
1.6423902232464027,
-0.043438971659595864,
1.5913183725788524,
-0.10389903006961672,
1.5694153615024555,
0.402092673469283... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 16 |
6204749327660332288 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 7], [2, 3, 5, 6], [1, 2, 4, 5, 8], [0, 2, 4, 5, 6, 7, 8], [0, 1, 2, 5, 6, 7], [1, 2, 3, 7, 8], [0, 1, 2, 4, 6, 7, 8], [0, 1, 3, 5, 6, 7, 8], [1, 3, 4, 5, 7]]} | {"states": [206, 207], "expectation_value": -1.746803351430592, "params": null, "bitstrings": ["100110001", "100110000"], "total_optimization_steps": 52, "probabilities": [0.0656670685981067, 0.7950871796897383], "optimization_time": 144.04067254066467} | 0.20714285714285716 * (Z(1) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(2)) + 0.1738095238095238 * (Z(3) @ Z(1)) + 0.14761904761904762 * (Z(4) @ Z(2)) + 0.1738095238095238 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(3)) + 0.18095238095238095 * (Z(7) @ Z(2)) + 0.23095238095238096 * (Z(7) @ Z(1)) + 0.1738095238095238 * (Z(7) @ Z(3))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7880952380952384], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7738095238095237, "smallest_bitstrings": ["100110000"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.19758219505713998) q[0];
h q[1];
ry(1.2473396363985432) q[1];
h q[2];
ry(1.5178310565774924) q[2];
h q[3];
ry(-0.12670909853541995) q[3];
h q[4];
ry(-0.25875209676932487) q[4];
ry(-2.719623793398239) q[5];
rz(-pi) q[5];
cx q[2], q[5];
ry(-0.103991796529312... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.525) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"IIZZIIIII",
"... | [
0.20714285714285716,
0.18333333333333335,
0.1738095238095238,
0.14761904761904762,
0.1738095238095238,
0.1,
0.18095238095238095,
0.23095238095238096,
0.1738095238095238,
0.14761904761904762,
0.19047619047619047,
0.15714285714285714,
0.15714285714285714,
0.12380952380952381,
0.13095238095... | 0.970696 | [
1.5178310565774924,
1.2473396363985432,
1.0448356700740296,
0.20798359305862527,
-0.2534181970708399,
0.4635874319588646,
-0.39718502968898056,
0.2385696862553318,
-0.37997149981182987,
0.26330496640425444,
-0.12044619417564656,
-0.5175041935386497,
0.33627910368624747,
-0.3951643901142799... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -1.7880952380952384,
"target_ratio": 0.97,
"target_value": -1.7344523809523813
} | 1 |
52d445418826abb1edfe2507a27ebafb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -16.725763714528895, "params": [[0.0465, 0.0178], [-0.0853, -0.0755]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013685697266858369, 0.016979624547477264], "optimization_time": 2.91884183883667} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.6828308069606857) q[0];
rz(-pi) q[0];
ry(-1.031553795512743) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.47951232566871355) q[2];
h q[3];
ry(1.5494251047186622) q[3];
cx q[3], q[0];
ry(-0.13259672277912185) q[0];
cx q[3], q[0];
rz(-pi) q[4];
ry(-0.4898624661385249) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8.5,
3,
14,
9.5,
5.5,
11,
11.5,
7.5
] | 0.972207 | [
22.904847443811345,
-4.836510392042526,
-8.91936632246195,
18.086225405810733,
64.41757649799031,
-24.777570963831565,
-5.2393488668576165,
-11.415326169661288,
-0.5697063469010043,
-0.020562242613332754,
1.5494251047186622,
0.2651934455582437,
-0.44100939376492304,
0.0038150615698399892,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 58 |
365bd3af521df6f6f3ae706a5c8f048c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [2040, 2047], "expectation_value": -1.339928387514496, "params": [[-0.0639], [0.0723]], "bitstrings": ["00000000111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0008614233670300237, 0.0008724295776262575], "optimization_time": 3.2797510623931885} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
ry(0.6845724150719653) q[1];
h q[2];
ry(0.12940406834968102) q[2];
cx q[0], q[2];
ry(-0.12940406834968102) q[2];
cx q[0], q[2];
ry(0.4925519884890497) q[0];
h q[3];
ry(0.6845724150719653) q[3];
cx q[2], q[3];
ry(-0.6845724150719653) q[3];
cx q[2], 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IIIZZIIIIII",
"IIIZIIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIZIIII... | [
-2,
-2,
-2,
1,
-2,
-2,
-2,
0.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5
] | 0.970583 | [
1.3691448301439306,
0.25880813669936203,
0.9851039769780994,
-1.2757864106080705,
-0.3376591975896639,
4.144633918028449,
-0.12020796057064403,
-0.037631654384946464,
1.536642494486847,
-0.4640785632525037,
1.590527401363774,
-1.158624668075289,
-0.04880242354284735,
3.5458962843930117,
... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 375 |
8abcecb9be692ba9d31a27398366ffa4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -10.999987376440629, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 21, "probabilities": [1.2623559254683014e-05, 0.9999873764407292], "optimization_time": 19.668550729751587} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5490827494225263) q[0];
rz(-pi) q[1];
ry(-0.28233305796915187) q[1];
h q[2];
ry(-1.5490827494225263) q[2];
h q[3];
ry(-1.5490827494225263) q[3];
h q[4];
ry(-1.5490827494225263) q[4];
h q[5];
ry(-1.5490827494225263) q[5];
h q[6];
ry(1.5893740482243686) q[6]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75,
2,
-0.25,
0.75,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
1.75
] | 0.997733 | [
1.5893740482243686,
-1.5490827494225263,
-1.8450825844559562,
-0.01609360061618495
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
cf6781246fc66f87fa6a567e8619e23b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -6.208371982375844, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 25, "probabilities": [0.2576764967213142, 0.5730478938816137], "optimization_time": 24.63706088066101} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1111110", "1101110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.33675991249539916) q[0];
h q[1];
ry(-0.8515395949228223) q[1];
h q[2];
h q[3];
ry(-1.5428256682959467) q[3];
rz(-pi) q[4];
ry(-0.10231168646078781) q[4];
ry(-0.054796923753035846) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[0];
ry(0.33675991249539916) q[0];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.25,
-0.25,
-1.25,
0.5,
0.25,
0.75,
-0.25
] | 0.978102 | [
-1.5428256682959467,
-0.6735198249907983,
1.5130573834326533,
-0.9935783652960206,
-1.7030791898456445,
-1.6641177806211036,
0.02746594902502659,
-0.2747638951084399,
0.6952452953339312,
-0.36325278036379793,
-0.35971473705457196,
0.17518969526177117,
-0.197380008249672,
-0.085975751722793... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 13 |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [74, 104], "expectation_value": -3.496446851484714, "params": null, "bitstrings": ["0110101", "0010111"], "total_optimization_steps": 26, "probabilities": [0.06701299391276232, 0.9297038609759599], "optimization_time": 21.823967933654785} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011011", "0110101", "1100101", "0010111", "1011010", "1101100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.04487692059288387) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.04487692059288387) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.04487692059288387) q[2];
cx q[0], q[2];
rz(-1.407887416700282) q[0];
rx(-1.579746504261589) q[0];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIZIZII",
"IZZIIII",
"ZIIZIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.980299 | [
0.04487692059288387,
1.674742329328149,
-1.4078874167002817,
1.524449490178519,
1.4439077735402985,
1.3531238677988078,
-1.3904882206449123,
1.365368687689991,
-1.5824772102595346,
-1.579746504261589,
0.6397278070183063,
0.013864599543888398,
-1.8275840771615182,
1.1558042727426383,
0.12... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 48 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [212, 213], "expectation_value": -2.8765152517884034, "params": [0.6647000000000001, 0.051500000000000004, 0.76, 0.2331, 0.1024, 0.49720000000000003, 0.8869, 0.1126, 0.1358, 0.4269, 0.8661000000000001, -0.011600000000000001, -0.005, 0.6747000000000001, 0.45790000000000003, 0.0159, 0.6461, 0.05860000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011", "00101010", "01000110"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIIZ",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIIZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
0.125,
0.125,
-0.125,
-1,
0
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [425, 421], "expectation_value": -0.1662146401130856, "params": [0.1617, 0.0439, 0.1511, 0.0466, 0.196, -0.0085, 0.19440000000000002, -0.0097, 0.1937, -0.0026000000000000003, 0.20120000000000002, -0.0015, 0.18580000000000002, -0.0213, 0.1811, -0.0094, 0.2034, 0.0027, 0.19990000000000002, 0.0022, 0.1932, 0.00... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 6 | 10 | 4 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"], "largest_eigenvalue": 1.261111111111111} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII"... | [
0.25,
-0.0006944444444444446,
-0.0006944444444444446,
0.25,
-0.0006944444444444446,
-0.0013888888888888892,
-0.0006944444444444446,
-0.0013888888888888892,
0.25,
-0.0006944444444444446,
0.0006944444444444445,
0.0006944444444444445,
-0.0006944444444444446,
0.0006944444444444445,
0.0006944... | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
d53bc6bd432bf4983d084051835cbd3e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [544, 33], "expectation_value": -19.96373883286975, "params": null, "bitstrings": ["0111011111", "1111011110"], "total_optimization_steps": 46, "probabilities": [0.34561175166540475, 0.6431958380576097], "optimization_time": 83.41836428642273} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111111110", "1111011110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.030749817030848964) q[0];
rz(0.21538979376135003) q[0];
rx(0.05867453631174802) q[1];
rz(0.3331691612562093) q[1];
cx q[1], q[0];
rz(0.056022003248748876) q[0];
cx q[1], q[0];
rz(-0.3225033086314686) q[0];
ry(0.055182333475569126) q[0];
rz(0.5973725958459539) q[0... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5709) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIIIZIIZI"... | [
-1.25,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1,
-1.5,
-1,
3.75,
-0.5,
-1,
-0.5,
-0.5,
-1,
-1.5,
-0.75,
-1.25,
-1,
-1.5,
-0.25,
1,
-1.25,
-1.25,
-0.25,
1.75,
-0.25,
-1,
3
] | 0.972457 | [
-0.030749817030848964,
0.2714117970100993,
0.05867453631174802,
0.3331691612562093,
-0.07492837598717378,
0.17808332995731574,
-0.0098721246404792,
0.2568756831721276,
0.25717541436435515,
0.13939214004418699,
-0.04948319280864416,
0.2899315474044505,
-0.046836128513936065,
0.0910924625991... | {
"n_parameters": 164,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 6 |
1224486811eca4968ab3a23d5705d513 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [586, 682], "expectation_value": -77.39159113757293, "params": [[0.0014, 0.0028, 0.3749, 0.404, 0.005200000000000001, 0.39730000000000004, 0.3785, 0.401, 0.3688, 0.4048, 0.0034000000000000002, 0.4033, 0.32630000000000003], [0.0039000000000000003, 0.0048000000000000004, 0.38580000000000003, 0.4027, -0.0007, 0... | 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(5) @ Z(2)) + 8.5 * (Z(6) @ Z(3)) + 8.5 * (Z(6) @ Z(5)) + 8.5 * (Z(7) @ Z(5)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(8)) + 8.5 * (Z(12) @ Z(9)) + 8.5 * (Z(11) @ Z(12)) + 8.5 * (Z(4) @ Z(11)) + 6.0 * Z(3) + 0.5 * Z(2) + 18.5 * Z(5) + 13.5 * Z(6) + 14.0 * Z(7) + 1.0 * ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-159.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -138.5, "smallest_bitstrings": ["1110101010101"], "largest_eigenvalue": 195.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.14270706274715816) q[0];
ry(0.20822815425739105) q[1];
ry(-0.3702326085579701) q[2];
ry(1.2935343052843171) q[3];
ry(0.15407686873843474) q[4];
ry(-0.06942907398729106) q[5];
ry(0.4005840409992327) q[6];
ry(0.20420064847791625) q[7];
ry(-0.0867867779957409) 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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZII",
"IIIIIIIZIIZII",
"IIIIIIZIIZIII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIZZIIIIIII",
"IIIZZIIIIIIII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IZIIIIIIZIIII",
"IIIIIIIIIZIII",
"IIIIIIIIIIZII",
"IIIIIIIZIIIII",
"IIIIIIZIIIIII",
"IIIIIZIIIIIII",
"IIIIZIIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
6,
0.5,
18.5,
13.5,
14,
1,
6.5,
0.5,
5.5,
-6,
-14.5,
-13.5,
-14
] | 0.973685 | [
0.14270706274715816,
0.20822815425739105,
-0.3702326085579701,
1.2935343052843171,
0.15407686873843474,
-0.06942907398729106,
0.4005840409992327,
0.20420064847791625,
-0.0867867779957409,
0.6027581888551845,
-0.00010349454550163256,
0.9351978172146198,
-0.18817519764348556,
0.5585334980989... | {
"n_parameters": 56,
"n_qubits": 13,
"optimal_eigenvalue": -159.5,
"target_ratio": 0.97,
"target_value": -154.715
} | 69 |
1469172568662182463 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [3, 6], [0, 2], [1, 6], [0, 6], [6, 7], [0, 7], [8, 4], [1, 4], [2, 3], [8, 0], [4, 5], [0, 1]]} | {"states": [306, 304], "expectation_value": -4.02987237053488, "params": null, "bitstrings": ["011001101", "011001111"], "total_optimization_steps": 66, "probabilities": [0.40756168549543653, 0.43899678628564176], "optimization_time": 99.09534502029419} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001111", "011001101", "100110000", "100110010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.7065638202049728) q[1];
h q[2];
ry(-0.0837160834492123) q[2];
cx q[0], q[2];
ry(0.0837160834492123) q[2];
cx q[0], q[2];
ry(1.1708216443076749) q[0];
ry(-0.5152004516712303) q[2];
h q[3];
ry(1.4999363599473587) q[3];
cx q[3], q[2];
ry(0.51520045167... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIZIZIIII",
"IIZIIZIII",
"IIZIIIIIZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIZIIIIZI",
"IIIIZIIZI",
"IIIIIIIZZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"IIIZZIIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973787 | [
-0.1674321668984246,
1.4999363599473587,
1.1708216443076749,
-1.0304009033424606,
-0.8936760734737405,
1.5002315225486267,
-1.688496707978498,
0.33411130481685036,
-1.4131276404099455,
-1.1277660205414939,
0.2967396174012309,
-0.2978837764999167,
0.13295287235989622,
-0.13815526782057597,
... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 19 |
902d1b67930e0629acecd09204caf4e9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [89, 95], "expectation_value": -10.259671956045993, "params": null, "bitstrings": ["10100110", "10100000"], "total_optimization_steps": 78, "probabilities": [0.12501699519549195, 0.8278427170880167], "optimization_time": 123.66575026512146} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0002406203259945633) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0002406203259945633) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.002239755713033603) q[7];
cx q[1], q[7];
cx q[0], q[7];
cx 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];\nry(1.2796) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.25,
-0.25,
-1.5,
0.75,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
-0.5,
-1.75,
-0.5,
0.25,
-0.25,
-2.5,
-1.5,
1.25,
4,
-1.75,
0.5
] | 0.77774 | [
-0.0002406203259945633,
0.002239755713033603,
-1.5620315308743886,
0.00020706909952766735,
0.029331636032040385,
0.0007288211898819608,
0.11520209218064827,
1.5694007098049831,
-1.4370331811755714,
1.56923526210303,
1.5524995235409658,
1.5661269392947803,
-1.7487633370776487
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 357 |
d33bc1e38a91534ccb33169ef0b03611 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [237, 233], "expectation_value": -2.6920386920759887, "params": [-0.0035, 0.21100000000000002, 0.0018000000000000002, 0.2364, 0.3059, 0.0027, 0.3069, -0.001, 0.2917, -0.0007, 0.2954, 0.0023, 0.2838, -0.0081, 0.2899, -0.0086, 0.0891, -0.1019, 0.0915, -0.10110000000000001, 0.3058, -0.0004, 0.2975, -0.007500000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 7 | 9 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["100010011", "101000110", "100010110", "100110010"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.1251468189592682) q[0];
rz(-0.14910931151278822) q[0];
ry(0.1931090250082294) q[1];
rz(0.8906908736248537) q[1];
cx q[1], q[0];
ry(-0.07653128982389744) q[0];
rz(0.9759822597761411) q[0];
ry(0.7240441025509706) q[1];
rz(-0.09699030525937063) q[1];
ry(0.914195958036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIZI",
"IIZIZIIZI",
"IIZZIIIZI",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.625,
0.25,
-0.125,
0.125,
... | 0.970567 | [
0.1251468189592682,
-0.14910931151278822,
0.1931090250082294,
0.8906908736248537,
0.9141959580361719,
-0.20159325551699214,
-0.20511898902568937,
-1.0051648929287569,
1.5424885403455644,
0.11079567101696407,
0.8126566431225749,
0.5404654844320026,
0.18310061594619942,
-0.455330562430314,
... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 72 |
9915ff93784d747e82bcd9a73a2399e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [12, 3], "expectation_value": -1.362613996610581, "params": [[-0.0482, 0.016300000000000002, 0.0287], [0.0718, 0.013900000000000001, -0.0158]], "bitstrings": ["10011", "11100"], "total_optimization_steps": 10, "probabilities": [0.036878188760687346, 0.03739224598651888], "optimization_time": 4.30675435066223... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
26ae20390ea3947855f3112b6a50021e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": ... | {"states": [1023, 511], "expectation_value": -3.8109081980392845, "params": [[-0.0449], [0.053200000000000004]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.00177424084435452, 0.001791234555063235], "optimization_time": 1.6754426956176758} | -3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(5) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(5)) + -4.0 * (Z(8) @ Z(3)) + -4.5 * (Z(8) @ Z(1)) + -4.5 * (Z(8) @ Z(5)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(1)) + 1.0 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + -4.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 37.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.6825543930345954) q[0];
rz(-0.10865320758004281) q[0];
rx(-0.03739666069136033) q[1];
rz(0.20198128088088121) q[1];
rx(-0.03739666069136033) q[2];
rz(-0.07514010171297492) q[2];
rx(-0.03739666069136033) q[3];
rz(-0.051613901215785365) q[3];
rx(-0.0373966606913603... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIIZIIIZI",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIIIIZIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IZIIIIIZII",
"ZIIIIIIZII"... | [
-3.5,
1.5,
-4,
0.5,
-3.5,
-3,
-4,
-4.5,
-4.5,
1.5,
-2.5,
-3,
1,
0.5,
-4,
1,
0.5,
1,
-4,
0.5,
-3.5,
1.5,
-4,
0.5,
-4,
1,
-2.5,
0.5,
1.5,
-3,
-2.5,
-4.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.987395 | [
-1.6825543930345954,
-0.10865320758004281,
-0.03739666069136033,
0.20198128088088121,
-0.07514010171297492,
-0.051613901215785365,
-0.0025600337424048145,
0.0077511169135968325,
0.07133424152897463,
-0.16429179201040842,
0.05271308792701577,
0.039685436630387386,
-0.15948992371824058,
-0.0... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 1 |
6771b778b0f6a5f528500d957ca14d09 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [697, 681], "expectation_value": -54.59908383913913, "params": [2.2087, 0.0092, 1.3709, 0.0023, 2.2017, 0.0081, 0.0028, 0.0097, 2.2106, 0.003, 1.4868000000000001, 0.0025, 2.1968, 0.0095, 1.0512000000000001, 0.006900000000000001, 1.1388, 0.0073, 2.2081, 0.0027, 0.0038, 0.0037, 0.007500000000000001, 0.00240000... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(9) @ Z(0)) + 6.0 * (Z(9) @ Z(8)) + 22.0 * Z(0) + 21.0 * Z(2) + 2.5 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["0101010110"], "largest_eigenvalue": 164.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.71527956322697) q[0];
ry(0.18241547377065442) q[1];
ry(1.2730116026119673) q[2];
ry(0.05040298534722133) q[3];
ry(0.8619046078111914) q[4];
ry(0.22494226048934834) q[5];
ry(0.8767941422670104) q[6];
ry(-0.06785988006324416) q[7];
ry(0.7892404449258545) q[8];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
22,
21,
2.5,
20,
13.5,
-3.5,
3,
0.5,
1,
6
] | 0.970518 | [
0.71527956322697,
0.18241547377065442,
1.2730116026119673,
0.05040298534722133,
0.8619046078111914,
0.22494226048934834,
0.8767941422670104,
-0.06785988006324416,
0.7892404449258545,
0.16834630794661493,
0.032333133843519296,
0.02080444310798996,
0.04428542828836836,
0.04813998150614826,
... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 88 |
36ff2850f9ca4956ff6a75a44d9ad0dc | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [112, 81], "expectation_value": -4.99990032398369, "params": null, "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 30, "probabilities": [1.7187467219391787e-05, 0.9999500713211168], "optimization_time": 31.173844575881958} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cz q[10], q[9];
rx(-0.13175179733157877) q[10];
h q[10];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-1,
-1
] | 0.076923 | [
1.5707965843928602,
-6.250215574404665e-8,
0.4800264076414042,
0.30762598108994876,
1.570796582306965,
0.22113488257277297,
-3.013440284091102e-7,
-1.5707961608689993,
-0.12593085181051042,
-0.13175179733157877,
-0.580708177958514,
-0.48002629318198703,
-1.5707960986992084,
-0.843060424767... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 498 |
570afb120ac224dc3123b6884272022a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [7, 70], "expectation_value": -4.49651553808096, "params": null, "bitstrings": ["1111000", "0111001"], "total_optimization_steps": 26, "probabilities": [0.06700898086964666, 0.929746039807431], "optimization_time": 31.82105278968811} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011011", "0111001", "1111000", "1110010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3835861564523282) q[0];
ry(-0.12865901623097226) q[1];
ry(-0.541033750035841) q[2];
ry(0.19592575110006732) q[3];
ry(0.13925502177702181) q[4];
ry(0.17628327655625287) q[5];
ry(2.2481322520163918) q[6];
ry(-0.01313067584445033) q[7];
ry(1.7935360786981223) q[8];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIZIZII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-1,
-1,
0
] | 0.978616 | [
1.3835861564523282,
-0.12865901623097226,
-0.541033750035841,
0.19592575110006732,
0.13925502177702181,
0.17628327655625287,
2.2481322520163918,
-0.01313067584445033,
1.7935360786981223,
-0.029196006502633695,
1.5676660849581137,
3.074527066512088,
0.6408159439767485,
3.037196536579389,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 38 |
e1e31cd8da97b1296222838354d79204 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [0, 248], "expectation_value": -11.330479642166278, "params": [-0.33430000000000004, 0.13970000000000002, -0.3002, 0.5651, -0.3302, 0.11610000000000001, -0.2972, 0.6037, 0.31220000000000003, 0.10880000000000001, 0.3004, 0.6473, 0.3044, 0.36610000000000004, 0.2833, 0.522, 0.30860000000000004, 0.192, 0.3011000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 6 | 8 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.021674064005247) q[0];
cx q[1], q[0];
rz(-0.9568489535979356) q[0];
rx(-1.4852101733885612) q[0];
rz(-0.9568489535979356) q[1];
rx(-1.4852101733885612) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.5077310367674133) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.718356 | [
-3.021674064005247,
-1.5077310367674133,
-0.9568489535979353,
-0.005397137007634806,
0.0015350176540887314,
-1.4852101733885614
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 160 |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [6, 9], "expectation_value": -0.053057356356786725, "params": [[-0.0558], [0.06430000000000001]], "bitstrings": ["11001", "10110"], "total_optimization_steps": 10, "probabilities": [0.03282144635716012, 0.032821446357160125], "optimization_time": 0.9755113124847412} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
5a1527813da7c534130c872b3bb3e98c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [236, 109], "expectation_value": -9.582055420699614, "params": null, "bitstrings": ["00010011", "10010010"], "total_optimization_steps": 62, "probabilities": [0.07632024801692329, 0.6620715813116066], "optimization_time": 76.9751443862915} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
6bdd98fdc621eb3da82e1da2cf67eefb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -26.28422955613992, "params": [[[0.0415, -0.0159], [-0.0051, 0.0012000000000000001], [-0.0086, -0.0032], [-0.010400000000000001, 0.002], [-0.0031000000000000003, -0.0031000000000000003], [0.0006000000000000001, -0.003], [-0.0098, -0.0031000000000000003], [0.0001, 0.00240000... | -0.5 * (Z(0) @ Z(8)) + -0.25 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -1.0 * (Z(10) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -0.75 * (Z(1) @ Z(9)) + -1.75 * (Z(1) @ Z(10)) + -1.0 * (Z(3) @ Z(8)) + -0.25 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(10)) + -0.75 * ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.0476070145985679) q[0];
ry(0.08180926931432453) q[1];
ry(0.05151804670127036) q[2];
ry(-0.08508596906235782) q[3];
ry(-0.05782222205420179) q[4];
ry(-0.020498848631115292) q[5];
ry(0.2640335831390431) q[6];
ry(0.08087133344581646) q[7];
ry(0.281687857072007) 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": []} | [
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIZIIIIIIZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"IIZIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZIZI",
"IIZIIZIIIII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIIIZI",
"IIZZIIIIIII",
"ZIIZIIIII... | [
-0.5,
-0.25,
-0.25,
-1,
-1.5,
-0.75,
-1.75,
-1,
-0.25,
-1,
-1.75,
-0.75,
-0.25,
-0.75,
-1,
-1,
-0.75,
-1.25,
-1,
-0.25,
-1,
-0.75,
1.25,
-1,
-0.5,
-0.75,
-0.75,
-1.25,
-0.5,
-0.5,
-1.25,
-0.75,
-1,
0.5,
-0.25,
2,
1.25,
1.25,
0.5,
0.5,
-... | 0.970113 | [
0.0476070145985679,
0.08180926931432453,
0.05151804670127036,
-0.08508596906235782,
-0.05782222205420179,
-0.020498848631115292,
0.2640335831390431,
0.08087133344581646,
0.281687857072007,
-0.09902923819192572,
0.08429423410566998,
0.021135409629406736,
0.06323806682208176,
0.0645650209488... | {
"n_parameters": 66,
"n_qubits": 11,
"optimal_eigenvalue": -26.75,
"target_ratio": 0.97,
"target_value": -25.947499999999998
} | 47 |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3, 66], "expectation_value": -5.411631293733467, "params": null, "bitstrings": ["1111100", "0111101"], "total_optimization_steps": 20, "probabilities": [0.060126454979050156, 0.7888190124847682], "optimization_time": 19.036874532699585} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101111", "1001111", "1111100", "0111101", "1101110", "1110101", "1110011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10524944140705385) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10524944140705385) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10524944140705385) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.10524944140705385) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-2,
-1.5,
-1,
-1
] | 0.965602 | [
0.10524944140705385,
1.6178561021277917,
0.5876842409715187,
0.2839976003443462,
2.197319763470432,
-0.4187489091311876,
-2.4201465484847358,
1.7324458825809739,
0.9317579780948072,
0.39011893728927943,
1.547836175680747,
0.301634374518978,
-4.133975839128747,
-2.606956390131871,
-0.3203... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 500 |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -0.32050571701975644, "params": [[0.0775], [-0.0702]], "bitstrings": ["010011", "010110"], "total_optimization_steps": 10, "probabilities": [0.018054668896394493, 0.018054668896394496], "optimization_time": 1.757004976272583} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
-1
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
91fd701868951eab612ba86420778b2e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [11, 42], "expectation_value": -3.056534558467635, "params": [[[0.6983, 0.0064], [0.023200000000000002, 0.004], [0.7066, 0.19], [0.4929, 0.0545], [0.7082, 0.6965], [0.678, 0.1705]], [[0.7003, 0.006], [-0.0236, -0.0044], [0.7100000000000001, 0.7040000000000001], [0.48400000000000004, 0.7030000000000001], [0.2... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 15 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 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": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIIZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
5a95825927ec7bde0a2fb4311f797c48 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 8}, {"weight": 12, "source": 1, "target": 9}, {"weight":... | {"states": [467, 466], "expectation_value": -85.44404732187749, "params": [0.2619, -0.1277, 0.2691, -0.138, 0.49510000000000004, 0.0756, 0.49760000000000004, 0.0512, 0.49860000000000004, 0.085, 0.49570000000000003, 0.031, 0.48610000000000003, 0.0373, 0.4894, 0.021400000000000002, 0.0016, 0.29410000000000003, -0.0046, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(8)) + 15.5 * Z(1) + 8.5 * Z(0) + 21.0 * ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["1000101101"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.11752502141377616) q[0];
rz(-1.451644675025845) q[0];
rx(1.539900920434155) q[1];
rz(0.30507936041839967) q[1];
rx(1.2308867039941174) q[2];
rz(-0.23557316587420862) q[2];
rx(1.8617807285493242) q[3];
rz(0.19709067127837665) q[3];
rx(-0.09385877305236986) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
15.5,
8.5,
21,
11.5,
6.5,
-3.5,
-2.5,
2.5,
20,
10.5
] | 0.972342 | [
0.11752502141377616,
-1.1455967301433656,
1.539900920434155,
0.3223504634232518,
1.2308867039941174,
-0.33728283797910363,
1.8617807285493244,
0.1754520693787332,
-0.09385877305236986,
1.3790174057047322,
1.573104552810879,
0.1971283360713546,
-0.10497883549576671,
0.809609205333135,
0.1... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 52 |
-8795075552921521964 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[6, 7, 8, 9, 10], [9, 2, 6, 1], [0, 9], [2, 4, 6], [2, 6, 7], [0, 2], [3, 9, 2, 10], [2, 10, 4], [1, 4, 5, 6], [0, 1, 5], [3, 5], [8, 1, 3, 4], [9, 4], [10, 5, 6, 7], [2, 5, 7, 8, 10], [0, 8, 7], [8, 1, 4, 7], [10, 3, 4, 6], [0, 3, 6, 7], [0, 10], [1, 10, 6, ... | {"states": [919, 923], "expectation_value": -5.317603501235128, "params": [-0.0028, -0.0029000000000000002, 1.558, 1.5893000000000002, 1.7183000000000002, 1.4087, 1.5729, 1.5731000000000002, 0.0012000000000000001, 0.0045000000000000005, 0.1704, -0.0946, 0.19840000000000002, 2.9468, 0.9582, -0.0123, 2.3346, 0.8509, 1.56... | 0.4666666666666666 * (Z(7) @ Z(8)) + 0.35 * (Z(9) @ Z(8)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(10) @ Z(8)) + 0.13333333333333333 * (Z(10) @ Z(7)) + 0.05 * (Z(10) @ Z(9)) + 0.26666666666666666 * (Z(2) @ Z(8)) + 0.3 * (Z(2) @ Z(7)) + 0.1 * (Z(2) @ Z(9)) + 0.13333333333333333 * (Z(2) @ Z(10)) + 0.21666666666666667 * (Z(3) @... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.4833333333333325], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.316666666666665, "smallest_bitstrings": ["10001100100"], "largest_eigenvalue": 18.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.03232943552769435) q[0];
rz(pi/2) q[0];
ry(1.5472986584954882) q[1];
ry(1.6103108111974014) q[2];
ry(1.584240746725086) q[3];
ry(-0.04498510984026029) q[4];
ry(0.24949347991951112) q[5];
ry(0.42483493906966097) q[6];
ry(0.7435692476778838) q[7];
ry(2.310720456970... | OPENQASM 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": []} | [
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIZIIIIIZII",
"IIIZIIIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIZIIIIZIII",
"IIIZIIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIZIIIIIIZI",
"IIIZIIIIIZI",
"IZIIIIIIIZI",
"ZIIIIIIII... | [
0.4666666666666666,
0.35,
0.05,
0.05,
0.13333333333333333,
0.05,
0.26666666666666666,
0.3,
0.1,
0.13333333333333333,
0.21666666666666667,
0.41666666666666663,
0.05,
0.16666666666666666,
0.3,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.0833333333333333... | 0.971153 | [
-0.03232943552769435,
1.5472986584954882,
1.6103108111974014,
1.584240746725086,
-0.04498510984026029,
0.24949347991951112,
0.42483493906966097,
0.7435692476778838,
2.310720456970091,
1.4904867459641258,
1.476490449552823,
0.07941129739401888,
-0.006542969372212493,
-0.25548636328589414,
... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -5.4833333333333325,
"target_ratio": 0.97,
"target_value": -5.318833333333332
} | 8 |
ac7ee4fdcaa23947151bb0074b9ea593 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [915, 787], "expectation_value": -92.55425418047989, "params": [0.8313, 0.044700000000000004, 0.9013, -0.039900000000000005, 0.5656, -0.3163, 0.24480000000000002, 0.394, 0.2534, 0.2437, 0.9047000000000001, -0.032, -0.5583, -0.2818, 0.0946, 0.38980000000000004, 0.8916000000000001, -0.0516, 0.8954000000000001,... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(0)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 11.5 * Z(2) + 23.5 * Z(1) + 14.0 * Z(0) + -3.5 * Z(3) + 9.5 * Z(5) + 0.5 * Z(4... | 4 | 10 | 3 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["0011101100"], "largest_eigenvalue": 174.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.617832843264915) q[0];
rz(1.7826172601644164) q[0];
rx(0.9269010111326291) q[1];
rz(1.4916867986102416) q[1];
rx(0.3078929636256727) q[2];
rz(1.081045311768186) q[2];
rx(0.10447905540220333) q[3];
rz(1.8954770221093131) q[3];
rx(0.15120776814548467) q[4];
rz(1.724... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"IIZIIIIIZI",
"IZIIIZIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
11.5,
23.5,
14,
-3.5,
9.5,
0.5,
1,
7,
17,
-11.5
] | 0.974322 | [
0.617832843264915,
0.21182093336952001,
0.9269010111326291,
-0.0791095281846553,
0.3078929636256727,
-0.4897510150267109,
0.10447905540220336,
0.32468069531441696,
0.1512077681454847,
0.15401389521164735,
1.2472352595945122,
0.11672107903910005,
-0.25721420137721795,
-0.18208295888519205,
... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 14 |
d95402f534dca4e34937ada56ff64246 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -0.3864833392972832, "params": [[-0.052000000000000005], [0.062400000000000004]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009580875993522269, 0.009933100004171193], "optimization_time": 1.9211828708648682} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13230586609346) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.13237836260856983) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.13237836260856983) q[4];
cx q[1], q[4];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.364022518576758... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1,
-1,
-0.25,
-0.5,
-1.25,
-1.25,
-1,
2,
-0.5,
-1,
-0.25,
-1.5,
0.25,
-0.5,
1.5,
1.5
] | 0.731393 | [
0.13230586609346,
-0.13237836260856983,
-0.5124206816957112,
-0.30967895502240017,
-0.3640225185767584,
0.18564147488397173,
-1.2413245026761297,
0.1313259944068888,
0.6382467076975843,
-1.4287512366811355,
0.16684516368563745,
-0.8832857140518996,
-0.5240109649349867,
-0.5404390904836273,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 440 |
520b4019fb4986d4ab684733a5ebe8d8 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [412, 220], "expectation_value": -38.44904712405621, "params": null, "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.11044993350846113, 0.31278172216876643], "optimization_time": 176.21765518188477} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4463129710864574) q[0];
rz(-pi) q[1];
ry(-1.2426624200713647) q[1];
ry(-1.1969951662422582) q[2];
rz(-pi) q[2];
h q[3];
ry(1.295402841617871) q[3];
rz(-pi) q[4];
ry(-1.09230066430897) q[4];
ry(-1.0797131317453423) q[5];
rz(-pi) q[5];
h q[6];
ry(7.916716500... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(62.9199) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] | 0.970481 | [
62.424019866519146,
62.83252087601606,
37.4514583039102,
7.916716500547319,
62.899917161244026,
-5.327529590648128,
17.8716104702074,
-0.4868593117644719,
-3.671026591069804,
2.913608838439612,
-13.419835438932315,
14.092630322700535,
2.590805683235742,
-1.140616245352763,
0.271174301315... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 50 |
cbea2a0bad77c88d1e69497e2bb1bc1a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1516, 1260], "expectation_value": -1.3698233047199095, "params": [[[2.1051, 0.0078000000000000005], [0.7739, 0.0074], [1.4864000000000002, 0.0032], [2.099, 0.008], [2.0944000000000003, 0.0024000000000000002], [2.0972, 0.0061], [0.7916000000000001, 0.0066], [2.0941, 0.0034000000000000002], [2.1061, 0.0062000... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 27, "first_excit... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6380597863670996) q[0];
ry(2.583540181426315) q[0];
rz(-1.2947596103185233) q[0];
rz(1.8799453518549232) q[1];
ry(3.040845839889603) q[1];
rz(-1.0181421266646375) q[1];
rz(1.3694195798856095) q[2];
ry(2.890154063572237) q[2];
rz(-1.86116885834769) q[2];
rz(-0.07013... | OPENQASM 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIIIIIIIZIZ",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIIIIZIIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IIIIIZIIZIZ",
"IIIZIIIIZIZ",
"IIZIIIIIZ... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.970488 | [
1.0540667682057578,
0.02308301975252673,
0.8223752895380981,
-0.0349347094401619,
0.9553698924118301,
-0.027212609960526896,
-0.2100412547506473,
-0.3373141891702994,
0.9174669626425052,
0.032935154568522376,
1.133519442114693,
-0.03664606989433225,
0.016602807670070004,
-0.262833072850780... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 13 |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [47, 63], "expectation_value": -2.8540203722133364, "params": null, "bitstrings": ["1010000", "1000000"], "total_optimization_steps": 37, "probabilities": [0.2088511956890643, 0.2100965666861345], "optimization_time": 28.61558985710144} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1111100", "1111110", "1100010", "1100000", "1100110", "1100100", "1000100", "1011100", "1010100", "1000000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.006599739930172845) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.006599739930172845) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.006599739930172845) q[2];
cx q[3], q[2];
rz(0.006599739930173154) q[2];
rx(1.52576029632... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5486) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IIIZZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
-0.5,
0.25,
-0.25
] | 0.896155 | [
0.006599739930172845,
-0.059218668570738146,
0.782628674871177,
-1.5687868123923565,
-1.565222460442388,
-1.5704982977894495,
1.5257602963225112
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 198 |
0383062743a6032431a10ba112efca08 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [480, 8672], "expectation_value": -25.90568977585751, "params": [0.004200000000000001, 0.7138, 0.0023, -0.9812000000000001, -0.5519000000000001, 0.09280000000000001, 0.006200000000000001, 0.7597, 0.005, 0.9815, 0.0041, 0.8273, 0.0021000000000000003, 0.8138000000000001, 0.8329000000000001, 0.02590000000000000... | 0.5 * (Z(0) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(0)) + 1.0 * (Z(1) @ Z(13)) + 0.75 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(13)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(14)) + -1.0 * (Z(4) @ Z... | 18 | 16 | 3 | {"smallest_eigenvalues": [-26.24999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.249999999999734, "smallest_bitstrings": ["1101111000011111"], "largest_eigenvalue": 110.99999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(0.0807544572268105) q[0];
rz(0.22210424958802655) q[0];
rx(0.14837348741577772) q[1];
rz(0.7437791515521079) q[1];
rx(-0.5726519461602206) q[2];
rz(0.0668001890504087) q[2];
rx(-0.0416623057461309) q[3];
rz(0.5367025386426789) q[3];
rx(-0.0008736203876195175) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIIIIIZ",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIIIIIZ",
"IIZIIIIIIIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IZIIIIIIIIIIIIZI",
"IIZIIIIIIIIIZIII",
"IIIIIIIIIIIIZIIZ",
"IZIIIIIIIIIIZIII",
"IIIIIIIIIIIIZIZI",
"IIZIIIIIIIIZIIII",
"IIIIIIIIIIIZIIIZ",
"IZIIIIIIIIIZIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIII... | [
0.5,
1,
0.5,
1,
0.75,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-1,
1,
-1,
-0.5,
-1,
-1,
0.5,
0.5,
-2,
-1,
-2,
-2,
1,
1,
2,
-0.5,
-0.5,
0.5,
1,
-0.5,
-1,
-1,
1,
2,
2,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0... | 0.97502 | [
0.08075445722681049,
0.6172770534661369,
0.14837348741577772,
0.7437791515521079,
-0.5726519461602206,
0.0668001890504087,
-0.0416623057461309,
0.5367025386426789,
-0.0008736203876195175,
0.5023698595778798,
-0.26926217750859277,
0.4261394456714155,
0.0524983319909367,
0.5768221422270251,
... | {
"n_parameters": 172,
"n_qubits": 16,
"optimal_eigenvalue": -26.24999999999991,
"target_ratio": 0.97,
"target_value": -25.462499999999913
} | 1 |
644dce41a8353a1719922fff65b82c57 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [380, 376], "expectation_value": -81.25005750122641, "params": [0.405, 0.3166, 0.9038, 0.09330000000000001, 0.2793, 0.3841, 0.8956000000000001, 0.002, 0.8902, 0.0189, 0.8978, -0.0089, 0.9025000000000001, 0.11620000000000001, 0.4526, 0.2506, -0.0011, 0.6704, 0.35800000000000004, 0.2783, 0.399, 0.2992, 0.89960... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(3)) + 4.0 * Z(0) + 15.0 * Z(1) + 14.0 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.0, "smallest_bitstrings": ["1010000111"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.08906319782373698) q[0];
rz(0.3100114726598573) q[0];
rx(1.0020789314672678) q[1];
rz(0.06834180886965424) q[1];
rx(0.12658889755631075) q[2];
rz(0.5735769478902444) q[2];
rx(0.7850064948522296) q[3];
rz(0.04634691894076358) q[3];
rx(0.8857524254362782) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIZIIIIZ",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIIIIZIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
4,
15,
14,
2,
19,
23,
14,
7,
3.5,
-8
] | 0.970981 | [
-0.08906319782373698,
0.29293244328628704,
1.0020789314672678,
0.06834180886965424,
0.12658889755631075,
0.5735769478902444,
0.7850064948522296,
0.04634691894076358,
0.8857524254362782,
0.06667391383824277,
0.9127647320588391,
0.1856254780923829,
1.2090419873738345,
0.03466678760880615,
... | {
"n_parameters": 86,
"n_qubits": 10,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 15 |
47cc3572ddac8db9cfe3d2e2cd09f1ef | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 7}, {"capacity": 5, "source": 2, "target": 6}, {"capac... | {"states": [512, 511], "expectation_value": -16.868918479098458, "params": [[[0.1119, 0.163], [-0.0011, -0.9392], [-0.0032, 0.002], [-0.0024000000000000002, -0.0024000000000000002], [-0.0023, -0.0025], [-0.0026000000000000003, -0.0024000000000000002], [-0.0031000000000000003, -0.0023], [-0.002, 0.003], [-0.0782, -0.743... | -1.25 * (Z(0) @ Z(7)) + -3.0 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(8) @ Z(3)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-17.5, -17.5, -17.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.5, "smallest_bitstrings": ["1000000000", "1000001000", "1010001000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.05534882709090598) q[0];
ry(0.02576085821657424) q[1];
ry(-0.34106514198653937) q[2];
ry(0.11172790610799532) q[3];
ry(-0.21669655359594428) q[4];
ry(0.07199523814895067) q[5];
ry(0.0416747019803442) q[6];
ry(0.1826732357080143) q[7];
ry(-0.16592087373534245) 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": 9} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIIZIIIZII",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIIIZIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"IZIIIZIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"ZIIIIZIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI"... | [
-1.25,
-3,
-1.25,
-0.75,
-0.5,
-1.25,
-1.25,
-0.5,
-0.5,
-1.5,
-1.25,
-1.5,
-0.75,
-0.25,
1.5,
-1.5,
-1,
2,
-0.25,
-2,
-2.5,
0.75,
3,
-0.5,
-0.25,
0.75,
-1
] | 0.970534 | [
-0.05534882709090598,
0.02576085821657424,
-0.34106514198653937,
0.11172790610799532,
-0.21669655359594428,
0.07199523814895067,
0.0416747019803442,
0.1826732357080143,
-0.16592087373534245,
1.9840142728103631,
0.0013079875473395002,
-0.047728546749526216,
0.0026127768649447897,
0.00637891... | {
"n_parameters": 34,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 44 |
668f90355fba57bcb4fb60386433c90f | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [106, 107], "expectation_value": -26.952698639577534, "params": null, "bitstrings": ["10010101", "10010100"], "total_optimization_steps": 100, "probabilities": [0.062152393794066674, 0.2689894451535224], "optimization_time": 165.2543511390686} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03151214468051604) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03151214468051604) q[2];
cx q[0], q[2];
rz(-1.5704264103695476) q[0];
rx(-1.5760082004320597) q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.03151214468051604) q[4];
cx... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5,
7.5,
14,
13,
2,
13.5,
4.5,
13
] | 0.924291 | [
-0.03151214468051604,
-1.5704264103695473,
1.5705991780520145,
1.5706765641735296,
1.5707989169663568,
-1.57058498502492,
1.5712808281552364,
-1.5760082004320595
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 204 |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [48, 17], "expectation_value": -8.891106539551968, "params": null, "bitstrings": ["001111", "101110"], "total_optimization_steps": 28, "probabilities": [0.09024375903515425, 0.8025197132661654], "optimization_time": 15.481872797012329} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-2.7026747242885296) q[0];
ry(0.04369070613606717) q[0];
rz(-2.3989077382019692) q[0];
rz(1.2390313594475595) q[1];
ry(2.7029776244779247) q[1];
rz(-1.8931095271762974) q[1];
rz(1.2296356242845414) q[2];
ry(0.07252810464454057) q[2];
rz(-0.8196100966248716) q[2];
rz(... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] | 0.983616 | [
-0.10851937358898682,
0.4487744318096143,
1.03540924260132,
-0.08402551519855138,
0.11521988296733376,
0.42557088328310494,
-0.050850343758797184,
0.2581494561174059,
-0.14082975527251856,
0.5348791684932794,
0.6541134772230921,
-0.015841090960918423,
0.10336452295257065,
0.568926069772383... | {
"n_parameters": 34,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
a38227ca05bb5e1c3110df61e15475e5 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [21930, 21866], "expectation_value": -1.7118239122548957, "params": null, "bitstrings": ["1010101001010101", "1010101010010101"], "total_optimization_steps": 100, "probabilities": [0.12156514669973657, 0.27084641914566904], "optimization_time": 1082.3506462574005} | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + -0.0011718750000000002 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + -0.0011718750000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001953125 * (Z(6) @ Z(0)... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021679687499989], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021679687499931, "smallest_bitstrings": ["1010101010010101"], "largest_eigenvalue": 2.017382812499959} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5828140966267514) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.014155834669197016) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014155834669197016) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5828140966267514) q[3];
cx q[2],... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5945) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0011718750000000002,
-0.0011718750000000002,
0.25,
0.000390625,
-0.0011718750000000002,
0.000390625,
-0.0011718750000000002,
0.25,
0.0001953125,
0.0001953125,
-0.0013671875000000001,
0.0001953125,
0.0001953125,
-0.0013671875000000001,
0.25,
-0.0011718750000000002,
0.000390... | 0.977509 | [
-1.5828140966267514,
-0.014155834669197016,
-0.02116396070815279,
-0.013337028446488167,
0.04356747679686805,
-0.008037532779039583,
0.10057400069633016,
0.009481270663633676,
0.7191847124874255
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0216796874999727,
"target_ratio": 0.97,
"target_value": -1.9610292968749734
} | 24 |
047a6db213ec2347412434e39dcab446 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [124, 120], "expectation_value": -6.719121254209966, "params": [0.0026000000000000003, 0.006200000000000001, 0.0026000000000000003, 0.003, 0.9715, 0.0027, 1.465, 0.0081, 1.6665, 0.0039000000000000003, 2.2062, 0.0034000000000000002, 2.2036000000000002, 0.0037, 2.1031, 0.0014, 1.5239, 0.0047, 0.0035, 0.0052000... | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
1e893dfbb1c990e67f8298b0e1719b46 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 127], "expectation_value": -1.015826076624105, "params": [[0.0674], [-0.060700000000000004]], "bitstrings": ["0000000000", "1110000000"], "total_optimization_steps": 10, "probabilities": [0.0015308174358424924, 0.0015885760714628371], "optimization_time": 0.7041349411010742} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["1110000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.000700043488344783) q[0];
rz(2.6424393594044204) q[0];
rx(0.06170603224990204) q[1];
rz(-2.7619123611543994) q[1];
rx(0.010082166198526745) q[2];
rz(-2.8261954628031436) q[2];
rx(2.243845368499121) q[3];
rz(1.804808577091154) q[3];
rx(2.309489529400012) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII"... | [
-2,
-2,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972693 | [
-0.000700043488344783,
1.0716430326095232,
0.06170603224990204,
1.95047661923029,
0.010082166198526744,
1.8861935175815459,
2.243845368499121,
0.23401225029625738,
2.309489529400012,
-0.017343771745493338,
-2.318871827088357,
0.06303312676473878,
0.45057194225439684,
-0.1791331219639023,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 101 |
11e3db404ceab325d959c6faf4c54e2e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [454, 458], "expectation_value": -0.3187837761470266, "params": [[0.0011, -0.7529, 0.8465, 0.8462000000000001, -0.0001, 0.2944, -0.0013000000000000002, 0.0011, 0.8463], [0.0034000000000000002, 1.0366, 0.8389000000000001, 0.0091, 0.2944, 0.0024000000000000002, 1.0692000000000002, 0.0018000000000000002, 0.0051... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 9 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["000111001", "000110101", "100100011", "000111100", "010111000", "000110011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007049071499525501) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.007049071499525501) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.007049071499525501) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.007049071499525501) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZZZIIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIZIIIIZI",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.125,
0.125,
0.125,
-0.625,
-0.25,
-0.25,
0,
0,
-0.25
] | 0.970471 | [
-0.007049071499525501,
-0.9242864463836944,
1.4859283289212186,
1.648141262809948,
-1.3020927796447306,
1.3981695767054998,
-0.4690203450985888,
0.0064032613649141965,
0.6023180138289096,
0.14348718682098022,
0.27088386843300305
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 42 |
2808937062555953310 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[11, 6], [0, 10, 3, 4], [0, 1, 3, 6, 9], [8, 4, 12, 6], [9, 5, 6], [3, 12], [0, 3, 7, 10, 11], [2, 7], [1, 6, 7, 10, 12], [0, 1, 4, 7, 12], [8, 6, 7], [2, 11, 4], [3, 9, 11, 5], [1, 2, 6], [9, 12]]} | {"states": [2940, 2924], "expectation_value": -4.198224542077929, "params": [0.35710000000000003, 0.36410000000000003, 1.5666, 1.5808, -0.014100000000000001, -0.0114, 1.5675000000000001, 1.5704, 1.5691000000000002, 1.5667, 0.1837, 0.1836, 1.5724, 1.5745, 1.572, 1.5477, 0.7559, 0.7649, 1.5848, 1.5535, 1.9754, 1.16390000... | 0.5 * (Z(11) @ Z(6)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(11)) + 0.05 * (Z(10) @ Z(6)) + 0.05 * (Z(10) @ Z(11)) + 0.13333333333333333 * (Z(10) @ Z(0)) + 0.05 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(11)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(10)) + 0.08333333333333333 * (... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.383333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.216666666666667, "smallest_bitstrings": ["1010010010011"], "largest_eigenvalue": 13.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.3419722333692742) q[0];
rz(-0.5250791032182061) q[0];
ry(1.6019363626731629) q[1];
ry(0.12162088373045656) q[2];
ry(1.5457528861133227) q[3];
ry(1.5013214891053663) q[4];
ry(0.3596816855961924) q[5];
ry(1.326437701089558) q[6];
ry(1.582155370508415) q[7];
ry(0.434... | OPENQASM 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": []} | [
"IZIIIIZIIIIII",
"IIIIIIZIIIIIZ",
"IZIIIIIIIIIIZ",
"IIZIIIZIIIIII",
"IZZIIIIIIIIII",
"IIZIIIIIIIIIZ",
"IIIIIIZIIZIII",
"IZIIIIIIIZIII",
"IIIIIIIIIZIIZ",
"IIZIIIIIIZIII",
"IIIIIIZIZIIII",
"IZIIIIIIZIIII",
"IIIIIIIIZIIIZ",
"IIZIIIIIZIIII",
"IIIIIIIIZZIII",
"IIIIIIZIIIIZI",
"IIIIIIIIIII... | [
0.5,
0.05,
0.05,
0.05,
0.05,
0.13333333333333333,
0.05,
0.13333333333333333,
0.18333333333333335,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.26666666666666666,
0.1,
0.05,
0.05,
0.05,
0.216666... | 0.971498 | [
0.3419722333692742,
1.6019363626731629,
0.12162088373045656,
1.5457528861133227,
1.5013214891053663,
0.3596816855961924,
1.326437701089558,
1.582155370508415,
0.4340570796124803,
1.657189568884274,
2.1088415183620555,
-0.1863649945212663,
-0.02395259513687028,
-1.0501582064364121,
1.0963... | {
"n_parameters": 49,
"n_qubits": 13,
"optimal_eigenvalue": -4.383333333333333,
"target_ratio": 0.97,
"target_value": -4.251833333333333
} | 6 |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [374, 238], "expectation_value": -0.17737377422018974, "params": [[-0.0741, -0.0833], [0.0738, 0.0779]], "bitstrings": ["010001001", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0027235036230781186, 0.0027235036230781194], "optimization_time": 12.7235689163208} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) 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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
-1920362833439434127 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 5], [2, 5], [8, 0, 7], [8, 2, 3], [8, 9, 5], [4, 6, 7], [9, 7], [0, 9, 3], [9, 6], [1, 7], [2, 4, 7], [2, 3, 7], [0, 3, 7], [8, 4, 5], [5, 6], [1, 6], [0, 4, 7], [8, 9, 2], [0, 2], [8, 0, 4], [0, 9, 5], [3, 4, 5], [3, 6, 7], [2, 6], [8, 6, 7]]} | {"states": [598, 606], "expectation_value": -4.591128084482714, "params": [1.2016, -0.0689, 1.1951, 0.0088, 0.8611000000000001, 0.32020000000000004, 0.3366, 0.0032, 0.7915000000000001, 0.0883, 0.5772, 0.0051, 1.2022000000000002, -0.0911, 1.1925000000000001, 0.0018000000000000002, 1.0171000000000001, 0.16790000000000002... | 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110100001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.5857021726192064) q[0];
rz(1.747139575884047) q[0];
rx(0.5851289768213115) q[1];
rz(1.6502401766953128) q[1];
rx(0.145353295948243) q[2];
rz(1.5624799381640937) q[2];
rx(1.7190236324514545) q[3];
rz(1.342836629632858) q[3];
rx(0.4879800852269233) q[4];
rz(1.431222... | OPENQASM 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": []} | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIZIIZII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZIIIIIZII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"ZIZIIIIIII"... | [
0.5,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.1666666666666... | 0.971344 | [
1.5857021726192064,
0.17634324908915047,
0.5851289768213115,
0.07944384990041592,
0.14535329594824303,
-0.008316388630802793,
1.7190236324514545,
-0.227959697162038,
0.4879800852269233,
-0.13957387543790822,
1.7892171736841924,
0.07489862409338528,
1.682004263647135,
0.02636538052102042,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -6.333333333333334,
"target_ratio": 0.97,
"target_value": -6.1433333333333335
} | 85 |
b72451fd8beb69606a84f4be9a392c11 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [125, 1], "expectation_value": -3.762885676141292, "params": [[0.058, 0.0763, 0.07930000000000001], [-0.0187, -0.0626, -0.07590000000000001]], "bitstrings": ["10000010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01425663236340935, 0.015043441082764099], "optimization_time": 5.433862209... | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(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": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [431, 427], "expectation_value": -3.8430387534363017, "params": [0.8902, 0.1213, 0.9503, 0.1636, 0.46190000000000003, 0.3159, 0.9451, 0.202, 0.43570000000000003, 0.32630000000000003, 0.9424, 0.0714, 0.4797, 0.3321, 0.9294, 0.22460000000000002, 0.9308000000000001, 0.0442, 0.8785000000000001, 0.097300000000000... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
8b6d23382ec67338ff3d4393bc92189d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"sour... | {"states": [272, 274], "expectation_value": -7.720905073833117, "params": [0.9032, -0.0009000000000000001, 0.9016000000000001, 0.0047, -0.005, 0.4305, -0.0026000000000000003, 0.0081, 0.0014, 0.5365, 0.0015, 0.005200000000000001, 0.5318, 0.3038, 0.5292, 0.008, 0.9093, -0.0013000000000000002, 0.9087000000000001, 0.0046, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["111100011", "111001101", "011101101"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.4929767809691068) q[0];
rz(0.32244138611538053) q[0];
rx(0.04038535504088009) q[1];
rz(0.6262382369695194) q[1];
cx q[1], q[0];
rz(-0.3710412746968728) q[0];
cx q[1], q[0];
rx(1.228361933581355) q[0];
rz(-0.050757607937213206) q[0];
rx(-0.11691472802329918) q[1];
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": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IIIIZIIZI",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIZZII",
"IIZIIIZII",
"IIIIZIZII",
"IZIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-2,
-2,
-1,
-2,
-2,
-2
] | 0.980308 | [
1.4929767809691068,
-0.04859988858149221,
0.04038535504088009,
0.6262382369695194,
-0.03579287125716731,
0.49037624290397774,
0.05501480530925054,
0.3499277533456057,
1.4917761847297457,
-0.006551748801211184,
0.09896361552316696,
0.40097980447692627,
0.04859855358504803,
0.653331399109229... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 13 |
10b46313f5ba69fed433ce41b4ff5c0d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"sour... | {"states": [255, 127], "expectation_value": -15.54920655732684, "params": [[[1.6697000000000002, 0.008400000000000001], [-0.0025, 0.0098], [-0.0024000000000000002, 0.0098], [-0.0026000000000000003, 0.0074], [0.0024000000000000002, 0.0028], [-0.0049, 0.003], [0.002, 0.0032], [3.1458, 0.0006000000000000001]]], "bitstring... | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0... | 2 | 8 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(3.1415924732857192) q[0];
ry(0.5897985035031317) q[0];
rz(-1.570796109836262) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.9955658339146248) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.18520990155983186) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.3654981619502446)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2,
1,
-2.5,
-2,
-2,
-2.5,
0.5,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.550263 | [
-0.9955658339146248,
-0.18520990155983186,
-0.3654981619502446,
-0.05172706052669016,
-1.617305251173022,
-1.5707962061238967,
-0.9809978232917758
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 215 |
b74e80974c25a6ca61c3dc8e293dd53f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [0, 255], "expectation_value": -25.121162689021183, "params": [[[0.0022, 1.6113000000000002], [0.0024000000000000002, 0.0022], [0.0022, 0.0024000000000000002], [0.0021000000000000003, 0.0021000000000000003], [0.0026000000000000003, 0.0025], [0.0029000000000000002, -0.003], [0.0023, 0.0027], [0.0022, -0.87730... | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + 1.... | 15 | 8 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -27.0, "smallest_bitstrings": ["00000000", "00000011"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.07952859266902088) q[0];
ry(-0.033505551520676205) q[1];
ry(0.07952859266902088) q[2];
ry(0.018853067712763624) q[3];
ry(0.004492229141284422) q[4];
ry(0.0649579931404623) q[5];
ry(0.11645223330385968) q[6];
ry(0.07952859266902088) q[7];
cx q[7], q[0];
cx q[6], q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x0) q[2];
... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIII... | [
-2.5,
-3,
-3,
-3,
1,
-3,
-2.5,
1,
-3,
-2.5,
1,
0.5,
-3,
-2.5,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.974825 | [
0.07952859266902088,
-0.033505551520676205,
0.018853067712763624,
0.004492229141284422,
0.0649579931404623,
0.11645223330385968,
2.5579045920053365,
0.02850552585812243,
-0.14890952570286703,
-0.07640377917917474,
-1.139934497240721
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 10 |
82b7510e3c4f18f03c81315097910da2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -0.37956824301397984, "params": [[0.0792], [-0.0825]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.021037985858252336, 0.021452572339764733], "optimization_time": 1.4404237270355225} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-6.581916184979591e-07) q[0];
h q[1];
ry(0.6434977519720617) q[1];
h q[2];
ry(0.6434977519720617) q[2];
h q[3];
h q[4];
ry(0.785398270325911) q[4];
cx q[3], q[4];
ry(-0.785398270325911) q[4];
cx q[3], q[4];
ry(0.6154797530425266) q[3];
cx q[4], q[3];
ry(-0.61... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIZIZI",
"IIZZII",
"IZIIZI",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-1.5,
0.25,
-0.25,
-0.25,
-0.25,
0.25,
0.25
] | 0.965517 | [
1.570796540651822,
1.2309595060850531,
1.2869955039441234,
-1.5707961133230497,
1.8545964968194282,
-0.39631419127463324,
0.6801154830436662,
1.570796550632477,
-0.0000013163832369959182,
3.5289707979888594e-7,
-1.510291118014996,
1.510290485989974,
1.0482933015393622e-7,
0.205718760898137... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
540e4dc6cd5ba125f618f28f48205cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 1, "tar... | {"states": [245, 244], "expectation_value": -12.989796707418115, "params": [[0.0257, 0.010400000000000001, 0.0184], [-0.0317, -0.0317, -0.0256]], "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004602222363391293, 0.005311548927256425], "optimization_time": 6.88456964492797... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 167.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027358022598444096) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027358022598444096) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027358022598444096) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.027358022598444096) q[4];
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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
10,
22.5,
12,
20,
0.5,
18.5,
5,
0.5
] | 0.970087 | [
0.027358022598444096,
-0.4503917049630143,
1.0157258650303829,
-1.1759847829526469,
-1.474408903266772,
-1.7126031515720757,
0.9015076408836524,
-1.1963827420035533,
0.486132884786999,
0.7308189328179706,
-0.0525669333670543,
-1.0515114137203625,
0.17841515765600538,
-0.767218394376632,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 39 |
3012e1b6018e3f767ff12c1a3a3c35a1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [67, 28], "expectation_value": -0.27773990076469024, "params": [[0.0458, 0.0562], [-0.0357, -0.044500000000000005]], "bitstrings": ["0111100", "1100011"], "total_optimization_steps": 10, "probabilities": [0.009305722216163471, 0.00951281057124004], "optimization_time": 6.551813125610352} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1001101", "1100011", "0111100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.017048650774160467) q[0];
rz(-pi) q[0];
h q[1];
ry(1.428101949963524) q[1];
h q[2];
ry(-0.5585956640176606) q[2];
h q[3];
ry(-1.513638845189437) q[3];
rz(-pi) q[4];
ry(-0.03029958733089709) q[4];
h q[5];
ry(1.5357352680083305) q[5];
h q[6];
cx q[6], q[2];
ry(0.558... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-1,
-0.5
] | 0.996101 | [
-1.513638845189437,
-1.5712238897082784,
-1.4295544274646308,
1.5357352680083305,
1.428101949963524,
-1.1171913280353212,
0.7490514998734579,
-0.29846349854310816,
0.45238629368725597,
-0.44128023792692567,
0.31667933370845947,
-0.25392485755588445,
-0.24838649711221067,
0.1534772811997058... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
dc79b1d1506b238352b546bee89b4fcb | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [487, 511], "expectation_value": -13.320084688469183, "params": null, "bitstrings": ["000011000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.12833778735373166, 0.45731008000730144], "optimization_time": 196.77639269828796} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9016034643812645) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9016034643812645) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.13489205494289022) q[1];
cx q[0], q[1];
h q[3];
cx q[2], q[3];
rz(0.9016034643812645) q[3];
cx q[2], q[3];
c... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.594611 | [
0.9016034643812645,
0.13489205494289022,
0.7834549271124904,
1.688831763196304,
0.03571004735697132,
0.9615814525312743
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 160 |
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 22], "expectation_value": -3.4999003241120192, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 26, "probabilities": [1.7187859465320965e-05, 0.9999500713236515], "optimization_time": 18.276226043701172} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
62ca4fdc3f835f51dee1780376d2bf19 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [167, 110], "expectation_value": -0.0502939438359107, "params": [[0.0651], [-0.059800000000000006]], "bitstrings": ["01011000", "10010001"], "total_optimization_steps": 10, "probabilities": [0.004335630302727521, 0.004335630302727528], "optimization_time": 5.39241099357605} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["10010001", "01011000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IZIIZIII",
"ZIIZIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIZI",
"ZIZIIIZ... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.125,
0.25,
-0.125,
-0.125
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
-8897099806926475842 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 5, 6], [0, 1, 2, 5, 6], [0, 4, 5], [3, 4, 6], [2, 3, 5, 6], [2, 3, 4], [1, 3, 6], [0, 1, 2, 4]]} | {"states": [47, 55], "expectation_value": -1.9995687970406815, "params": null, "bitstrings": ["1010000", "1001000"], "total_optimization_steps": 37, "probabilities": [0.03818626442402968, 0.917651137914684], "optimization_time": 50.59607648849487} | 0.18333333333333335 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.18333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9000000000000004, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.013741610088736946) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.01025542667939891) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.03834853752786159) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.013741610088736946... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.544) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "O... | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIZIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.18333333333333335,
0.3,
0.13333333333333333,
0.18333333333333335,
0.1,
0.21666666666666667,
0.18333333333333335,
0.26666666666666666,
0.21666666666666667,
0.18333333333333335,
0.13333333333333333,
0.13333333333333333,
0.25,
0.21666666666666667,
0.05,
0.25,
0.16666666666666666,
0.... | 0.973974 | [
-0.013741610088736946,
0.01025542667939891,
-0.03834853752786159,
0.10822437692429843,
-0.05319051191234217,
0.04143867878735068,
-0.007398312668282926,
0.035673319261595324,
0.041449468700024264,
0.13077515911228568,
0.0033518696450310324,
2.1052373695451774,
1.6014428905071565,
1.5116822... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -2.0333333333333337,
"target_ratio": 0.97,
"target_value": -1.9723333333333335
} | 79 |
-9222355336606288812 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1], [0, 6], [3, 4], [0, 2], [0, 7], [4, 7], [8, 1], [2, 5], [8, 7], [8, 6], [3, 6], [5, 7], [8, 3], [0, 3], [1, 3], [8, 5], [1, 5]]} | {"states": [174, 230], "expectation_value": -4.659739669513433, "params": null, "bitstrings": ["101010001", "100011001"], "total_optimization_steps": 100, "probabilities": [0.09423781900171295, 0.7230909580650192], "optimization_time": 236.5636546611786} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011001", "011100110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5059577198375977) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.5059577198375977) q[3];
cx q[1], q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(0.5059577198375977) q[6];
cx q[0], q[6];
cx q[0], q[3];
rz(0.5059577198375977)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIZIII",
"IIIIZZIII",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.407652 | [
0.5059577198375977,
8.187522020614032e-9,
-0.6859635329936021
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 100 |
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