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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d66103aeeeda9c42837797a39c07c20f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 3}, {"weight": 18, "source": 1, "target": 5}, {"weight": 2, "source... | {"states": [220, 212], "expectation_value": -22.12469299973531, "params": [[[0.2591, 0.3306], [0.9048, -0.0013000000000000002], [0.8994000000000001, -0.0018000000000000002], [0.0019, -0.1436], [0.9056000000000001, 0.0012000000000000001], [0.7016, -0.092], [0.9015000000000001, -0.0009000000000000001], [0.6633, 0.1255], ... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + -1.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["100101011"], "largest_eigenvalue": 73.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.8499354241171848) q[0];
ry(0.08894654038648235) q[0];
rz(1.5813663759873346) q[0];
rz(2.89989133421075) q[1];
ry(2.8809054490343864) q[1];
rz(0.6668533578262452) q[1];
rz(2.701420570189325) q[2];
ry(2.826059634780545) q[2];
rz(-0.5381042030552794) q[2];
rz(-0.0305... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-1,
-4.5,
6,
-6,
6,
-3.5,
5.5,
-1,
-4.5
] | 0.977785 | [
-0.12867991043540236,
0.5161288623289386,
1.6734792889981611,
0.2563334926034313,
1.6976678647602368,
0.2942918878438703,
-0.10032272329731418,
-0.655335876961154,
1.290337361809708,
0.43508517864001345,
-0.12476450452164221,
-0.0925758680675151,
1.2675850392869639,
-0.15370076844929387,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 24 |
7315cffe0b5dede12a8ac7922de6354f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7292, 7420], "expectation_value": -43.640110201225, "params": [0.8373, 0.3386, 0.9802000000000001, 0.154, 0.9805, -0.013300000000000001, -0.0001, -0.9917, 0.0027, -1.0167000000000002, 0.5541, 0.29650000000000004, 1.016, 0.032600000000000004, 1.0252000000000001, 0.0095, 1.0521, 0.0078000000000000005, 1.052, ... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 18 | 13 | 3 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.8461017394804872) q[0];
rz(-0.09828752457631751) q[0];
rx(0.8931785267418078) q[1];
rz(0.15878390029985712) q[1];
rx(1.0052116065928407) q[2];
rz(0.04784005170967623) q[2];
rx(-0.07283377410257255) q[3];
rz(-1.0534473927958765) q[3];
rx(-0.1344251143164993) 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIZIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IIIIIIIZIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIZIIIIZI",
"IIIIIZIIIIIZI",
"IIIIIIIZIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIZII",
"IIIIIZIIIIZII",
"IIIIIIIIIIZZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-0.5,
2,
-1,
2,
-1,
4,
-1,
0.875,
-2,
-2,
-1,
0.875,
-2,
-2,
1.75,
0.5,
1,
1,
-0.5,
1,
2,
2,
2,
-1,
1,
2,
2,
2,
-1,
4,
-1,
0.875,
-2,
-2,
0.5,
-0.5,
1,
1,
-1,
1,
-1,
2,
2,
-2,
1,
5,
-0.3125,
10,
10,
-0.625,
-0.625,
... | 0.973262 | [
0.8461017394804872,
0.20687923176311931,
0.8931785267418078,
0.15878390029985712,
1.0052116065928407,
0.04784005170967623,
-0.07283377410257255,
-1.0534473927958765,
-0.1344251143164993,
-1.003750995246472,
0.6779590460870614,
0.18859212465208747,
1.198491431850985,
-0.030026211261719803,
... | {
"n_parameters": 111,
"n_qubits": 13,
"optimal_eigenvalue": -44.625,
"target_ratio": 0.97,
"target_value": -43.286249999999995
} | 2 |
701af78f34438c7391d509e9e8e2d665 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 2044], "expectation_value": -21.094449265676104, "params": [[[0.0026000000000000003, 3.1604], [-0.0031000000000000003, 0.0027], [0.0018000000000000002, 0.0021000000000000003], [-0.0028, 0.0023], [0.0019, 0.002], [0.0019, 0.0018000000000000002], [0.0023, 0.0019], [-0.0023, 0.0021000000000000003], [0.00... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -2.0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000011"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.05799789908366397) q[0];
ry(0.18932932579279266) q[1];
ry(0.017797073513681302) q[2];
ry(0.07557339513916231) q[3];
ry(0.012164064757867382) q[4];
ry(0.012164064757867382) q[5];
ry(-0.017815287163601406) q[6];
ry(-0.06920333452362357) q[7];
ry(0.05799789908366397)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZI... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
0.5,
-2.5,
0.5,
-2,
-2,
0.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.982689 | [
0.05799789908366397,
0.18932932579279266,
0.017797073513681302,
0.07557339513916231,
0.012164064757867382,
-0.017815287163601406,
-0.06920333452362357,
0.03946604766126015,
3.0529949570068036,
-0.028635804404267426,
-0.0371764913781392,
-0.021915595798614657,
-2.675316149113557
] | {
"n_parameters": 13,
"n_qubits": 11,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 16 |
e9cd4f16fca9474ca53962a2c5c7dd8e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target":... | {"states": [412, 508], "expectation_value": -11.609183958994768, "params": null, "bitstrings": ["001100011", "000000011"], "total_optimization_steps": 96, "probabilities": [0.14918960070189335, 0.4441314181415479], "optimization_time": 116.14346718788147} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -1.0 * Z(8) + -1.0 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-1.5496310099142134) q[0];
rz(1.4717697936179306) q[0];
rx(0.131307132326481) q[1];
rz(-2.9174954751874385) q[1];
rx(1.612319384674029) q[2];
rz(1.5116596538706402) q[2];
rx(1.904268082796584) q[3];
rz(1.6200215386721482) q[3];
rx(3.0753568187891713) q[4];
rz(2.79965... | null | {"node": 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];\ncry(1.5681) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.975363 | [
-1.5496310099142134,
-0.09902653317696716,
0.131307132326481,
1.7948935051972514,
1.612319384674029,
-0.0591366729242561,
1.9042680827965843,
0.049225211877251734,
-3.2078284883904153,
1.2288593876384062,
-3.083343183371236,
0.6713821197635426,
-0.1208696439485555,
0.5417121545273366,
0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 257 |
1950899674174661020 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [1, 2, 4], [2, 6], [3, 7], [4, 5], [0, 1, 4, 7], [3, 6], [2, 5]]} | {"states": [244, 248], "expectation_value": -2.7476872964586434, "params": null, "bitstrings": ["00001011", "00000111"], "total_optimization_steps": 60, "probabilities": [0.05805455188722339, 0.7834210448692012], "optimization_time": 76.80010795593262} | 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.28807875366210867) q[0];
h q[1];
ry(1.3873527117938693) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.321398363272264) q[5];
cx q[4], q[5];
ry(0.321398363272264) q[5];
cx q[4], q[5];
ry(-0.015309936714998626) q[5];
cx q[2], q[5];
ry(0.015309936714998626) q[5]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4074) 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[... | [
"IIIIIIZZ",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIIIZIII",
"IIZIIZII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIII... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.4583333333333333,
0.29166666666666663,
0.16666666666666674,
0.16666666666... | 0.971593 | [
1.3873527117938693,
-0.642796726544528,
0.6478546716183022,
-0.030619873429997252,
-0.4795980459918213,
-0.1796299918792674,
1.4038702268524836,
0.7387172431134322,
-0.694811876066287,
-0.5715878790235154,
0.49377498927387176,
-0.6018751047646188,
0.5090881091470005,
0.05317279766333289,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -3.083333333333334,
"target_ratio": 0.97,
"target_value": -2.9908333333333337
} | 20 |
2d110e301c2d1f39c0aed01790885e0f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 3, "ta... | {"states": [183, 55], "expectation_value": -3.455610154615732, "params": [0.7678, 0.1116, -0.0078000000000000005, 0.43760000000000004, 0.9981000000000001, 0.0019, 0.9922000000000001, -0.007200000000000001, 0.38420000000000004, -0.0066, 0.9996, -0.0005, 0.9982000000000001, -0.0022, 1.0045, -0.0029000000000000002, 0.7649... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + -1.5 * Z(1) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(7) + -0.5 * Z(4) | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["01010100", "11001000", "01011000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.3660763566524554) q[0];
rz(1.5836636762612528) q[0];
rx(-0.049642972984500267) q[1];
rz(2.0443576138246513) q[1];
rx(1.3986163839927797) q[2];
rz(1.4779904978292677) q[2];
rx(1.0821111713655263) q[3];
rz(1.6136204861504897) q[3];
rx(0.19110818490825776) q[4];
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": []} | [
"IIIIZIIZ",
"IIIIIZZI",
"IZIIIIZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIZZIII",
"IIZZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
0,
-1.5,
0,
-0.5,
0,
-0.5
] | 0.973166 | [
0.3660763566524554,
0.012867349466356579,
-0.04964297298450026,
0.47356128702975353,
1.3986163839927797,
-0.09280582896562833,
1.0821111713655263,
0.04282415935559335,
0.19110818490825776,
0.10646390849613893,
1.060830753721783,
-0.27475669792621854,
1.1436318873644984,
-0.4296622371335608... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 18 |
777de9ff78a03eee0c44fa86be16e1ac | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [255, 254], "expectation_value": -18.530724218035388, "params": [[[-0.0037, 3.1579], [-0.0026000000000000003, 0.0025], [0.0019, 0.0023], [0.002, 0.002], [0.0024000000000000002, 0.0021000000000000003], [0.0027, 0.002], [1.6337000000000002, -0.0032], [-0.0021000000000000003, 0.0022]]], "bitstrings": ["00000000... | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 *... | 15 | 8 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.11486230343848944) q[0];
ry(-0.09775600257645431) q[1];
ry(-0.10745609098791514) q[2];
ry(0.06189858512358737) q[3];
ry(0.07927190238101971) q[4];
ry(0.04069706207864977) q[5];
ry(1.9974163188638654) q[6];
ry(-0.1172048237732832) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
-2.5,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
-2.5,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970593 | [
-0.11486230343848944,
-0.09775600257645431,
-0.10745609098791514,
0.06189858512358737,
0.07927190238101971,
0.04069706207864977,
1.9974163188638654,
-0.1172048237732832,
3.1425357359390538,
-0.017467694356498996,
0.08241917623558458,
-0.0471807327849795,
0.20412765868327692,
0.060091044801... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 4 |
e61b9b6cad8366f7e670366fe202a3e7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [124, 122], "expectation_value": -7.519597568983138, "params": [[0.0454], [-0.050800000000000005]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006477465843814684, 0.006830228254753429], "optimization_time": 2.049558401107788} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 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)) + 17.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-2.1064438042783817) q[0];
h q[1];
ry(3.00933532207482) q[1];
h q[2];
ry(63.914512083600656) q[2];
rz(-pi) q[3];
ry(-2.0138186233070408) q[3];
cx q[2], q[3];
ry(31.631902076085566) q[3];
cx q[2], q[3];
ry(-31.392809348396653) q[3];
cx q[1], q[3];
ry(31.... | 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[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
10,
14,
22,
12.5,
8.5,
12,
1
] | 0.972485 | [
34.330472433163216,
3.00933532207482,
62.27727198687937,
63.914512083600656,
-63.26380415217113,
17.13394339312842,
-62.78561869679331,
6.4092125346744835,
8.995405679010444,
-25.18439210953081,
-12.211734701172722,
-1.494483191794119,
30.42716060399111,
-16.64234087916521,
10.1661517222... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 67 |
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": 15.07539677619934} | 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 | 4 | {"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 |
320a9f451400cc7b47c12eaef6b494ad | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target": 5}, {"sour... | {"states": [255, 63], "expectation_value": -0.752598420065609, "params": [[0.0694], [-0.06720000000000001]], "bitstrings": ["00000000", "11000000"], "total_optimization_steps": 10, "probabilities": [0.005487752134704912, 0.005487752134704913], "optimization_time": 0.8340556621551514} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(3) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000000", "11000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.11121099487876307) q[0];
h q[1];
cx q[1], q[0];
ry(-0.11121099487876307) q[0];
cx q[1], q[0];
ry(1.9005127951188645) q[0];
ry(0.9697744760047474) q[1];
cx q[0], q[1];
ry(-0.3151379535739386) q[1];
cx q[0], q[1];
ry(0.03376800733837774) q[0];
ry(0.0912205692... | 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[5], q[2];
rz(x1) q[2];
cx q[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"IIZZIIII",
"IIIZZIII",
"ZIZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
-1.5,
-2,
0.5,
-1.5,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970045 | [
0.22242198975752614,
1.5833833835302376,
1.221871739344734,
0.31278224306533864,
-0.15889160074238634,
0.6546365224308088,
1.9005127951188645,
0.6302759071478772,
0.12680146235901915,
4.454765029629368,
0.06753601467675548,
0.5729521628072354,
0.2788559316180219,
-0.06350641363951223,
-0... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 475 |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | adaptive_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": [1, 2], "expectation_value": -0.8831399904840993, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 2.1478776931762695} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\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(-1.4449) q[0];\ncry(-1.0398... | [
"IZZ",
"ZIZ",
"ZZI",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 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 |
1d5830a984622eead42a5eae40078f2f | 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": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [15, 78], "expectation_value": -0.08236644264726518, "params": [[-0.034800000000000005, 0.010400000000000001, 0.0432], [0.054400000000000004, 0.017400000000000002, -0.0296]], "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008316238696308948, 0.008406844191792561], "... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3489169545147741) q[0];
rz(0.19904142919526457) q[0];
ry(-0.010000419084834976) q[1];
ry(0.7018807777533977) q[2];
ry(0.1334916632691144) q[3];
ry(0.14345604641563403) q[4];
ry(-0.25925629263809963) q[5];
ry(-0.16211681254208915) q[6];
cx q[6], q[0];
rz(-0.19904142... | 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... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"IIIIZIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IZIIIZI",
"IIZIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1.5,
-1,
-0.5,
0,
0
] | 0.983285 | [
0.3489169545147741,
-0.010000419084834976,
0.7018807777533977,
0.1334916632691144,
0.14345604641563403,
-0.25925629263809963,
-0.16211681254208915,
0.39808285839052915,
0.18678482838336213,
0.007416060566003385,
0.5559541478011963,
-0.11684483584027172,
0.269108552615918,
0.055465068797176... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 13 |
-2038502084133573321 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 11], [8, 3, 4, 6], [9, 10, 4, 1], [2, 3, 4, 6], [0, 9, 2], [3, 7], [10, 6, 7], [0, 8, 2, 10], [0, 6], [8, 11], [8, 10, 4], [2, 11, 5, 6], [1, 2, 4, 8, 9], [0, 1, 2, 4, 5], [2, 3, 8, 9, 10], [9, 5], [8, 2, 6, 7], [0, 8, 1], [0, 3], [1, 2, 10, 9], [1, 1... | {"states": [1722, 1754], "expectation_value": -6.126641052585296, "params": [[[0.3865, 0.6910000000000001, 0.0011, 0.0086], [0.2736, 0.6911, 0.08710000000000001, 0.0058000000000000005], [1.4958, -0.0035, 1.4921, 0.0049], [1.5014, 0.0037, 1.4873, 0.0008], [1.4909000000000001, -0.0018000000000000002, 1.4954, 0.003], [1.4... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(10) @ Z(3)) + 0.26666666666666666 * (Z(10) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(10)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.3 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.21666666666666667 * ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-8.283333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.199999999999999, "smallest_bitstrings": ["100100100101"], "largest_eigenvalue": 26.49999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.012967507464529182) q[0];
rz(1.151862146782333) q[0];
ry(0.01564013067193154) q[1];
rz(0.43904697196625164) q[1];
cx q[1], q[0];
ry(0.16645108574013584) q[1];
rz(0.2673940553605042) q[1];
ry(1.590288858732356) q[2];
rz(-0.0594588207848818) q[2];
ry(1.984506860129... | 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": []} | [
"IIIIIIIIZIZI",
"IZIIIIIIZIII",
"IZIIIIIIIIZI",
"IIIIIIZIIIZI",
"IZIIIIZIIIII",
"IIIIIZIIIIZI",
"IZIIIZIIIIII",
"IIIIIZZIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IZIZIIIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"ZIIIIIIIIIZI",
"ZZIIIIIIIIII",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.26666666666666666,
0.08333333333333333,
0.13333333333333333,
0.18333333333333335,
0.3,
0.16666666666666666,
0.08333333333333333,
0.21666666666666667,
0.21666666666666667,
0.3,
0.3833333333333333,
0.6000000000000001,
0.15000000000000002,
0.18333333333333335,
0.183333333333... | 0.971227 | [
-0.012967507464529182,
1.151862146782333,
0.01564013067193154,
0.43904697196625164,
1.590288858732356,
-0.0594588207848818,
1.9845068601297158,
0.07946593460406824,
1.6375989165157152,
-0.04815080653292811,
2.609163819287341,
-0.08683125578793557,
0.08648760646437513,
0.8242063576739403,
... | {
"n_parameters": 44,
"n_qubits": 12,
"optimal_eigenvalue": -8.283333333333331,
"target_ratio": 0.97,
"target_value": -8.034833333333331
} | 26 |
28b6a4ab313db94d987523ad340731c4 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [0, 252], "expectation_value": -8.194433524703681, "params": [-0.0415, 1.5936000000000001, -0.4514, 1.9059000000000001, -0.7256, 0.6602, -0.1693, 1.9484000000000001, 0.771, 1.076, -0.2534, 0.9286000000000001, 0.8162, 1.3376000000000001, -0.0412, 1.4887000000000001, 0.8191, 1.2025000000000001, -0.023100000000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 6 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.04678361833354944) q[0];
ry(0.1303742858616621) q[1];
ry(-0.070102964820749) q[2];
ry(0.03720863259038924) q[3];
ry(-0.02138356740879499) q[4];
ry(-0.06454810341651192) q[5];
ry(-0.8046763186343778) q[6];
ry(-0.00902455603533383) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-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,
-1,
-1
] | 0.970924 | [
0.04678361833354944,
0.1303742858616621,
-0.070102964820749,
0.03720863259038924,
-0.02138356740879499,
-0.06454810341651192,
-0.8046763186343778,
-0.00902455603533383,
3.1436983278875337,
-0.013390725933836297,
0.0030200819168633916,
0.018203360912784752,
-0.056319063792172594,
-0.0170838... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 138 |
74b74002611f90e3c673d204b4b3c61d | matching | 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}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [213, 117], "expectation_value": -64.89402376694835, "params": [[[0.41100000000000003, 0.2783], [0.7024, 0.5707], [0.12610000000000002, 0.6651], [0.6937, 0.5256000000000001], [-0.0455, 0.4879], [0.6859000000000001, 0.397], [0.6904, 0.5047], [0.08120000000000001, 0.5739000000000001]], [[0.5779000000000001, 0.... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(1) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 14.5 * Z(0) + 12.0 * Z(2) + 21.5 * Z(3) + 23.0 * Z(1) + ... | 15 | 8 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8583573089193945) q[0];
ry(0.8261074939937726) q[1];
ry(0.20092921732407842) q[2];
ry(0.9995297828254979) q[3];
ry(0.21235456064365157) q[4];
ry(0.9224295287253581) q[5];
ry(0.42412412699973784) q[6];
ry(0.17052204856607972) q[7];
cx q[7], q[0];
cx q[6], 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIZIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IZIIIIZI",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14.5,
12,
21.5,
23,
13,
14,
7,
-9
] | 0.976639 | [
0.8583573089193945,
0.8261074939937726,
0.20092921732407842,
0.9995297828254979,
0.21235456064365157,
0.9224295287253581,
0.42412412699973784,
0.17052204856607972,
-0.002010705438403773,
0.04959041967721809,
0.09777847542808352,
0.37341528309452465,
0.42056230631127883,
0.6409997306720516,... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 86 |
9c2f02be2c499f1518832ddbbd315206 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [84, 22], "expectation_value": -3.4459077414127863, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 35, "probabilities": [0.05175928892415619, 0.7900196277016767], "optimization_time": 28.75046992301941} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 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": ["0011110", "1001101", "1011100", "0101011", "1111000", "0111010", "0001111", "1101001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-2.901167588346981) q[0];
rz(-0.2105070273682461) q[0];
rx(0.20971789230352275) q[1];
rz(0.657866821689816) q[1];
rx(0.062455288276377335) q[2];
rz(-1.11430263207646) q[2];
rx(0.21409063416784044) q[3];
rz(-0.03728581354816862) q[3];
rx(3.071209421739293) q[4];
rz(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"ZIIZIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.971256 | [
3.3820177188326053,
-0.07486301144683405,
0.20971789230352275,
0.2140906341678404,
0.062455288276377335,
-0.6255287633609229,
0.35834076480290283,
3.071209421739293,
-0.04907887639235431,
-0.1210173864240168,
-0.8796050668496838,
3.524195307406011,
-0.9175017165581438,
-0.06560165821150515... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 23 |
c4c481d42e823a9c9d606e8266a72503 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"sour... | {"states": [435, 419], "expectation_value": -4.728550345526413, "params": [0.4046, 0.40140000000000003, 0.3995, 0.39690000000000003, -0.0085, -0.0073, 0.3997, 0.4033, 0.1572, 0.1587, -0.0034000000000000002, 0.0063, 0.0037, 0.0027, 0.4006, 0.4043, 0.3894, 0.38720000000000004, 0.399, 0.40240000000000004, 0.39840000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * Z(5) + -0.5 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + -0.5... | 14 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["001011100", "101001001", "001001101", "101011000", "000101101", "000111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.652306904232104) q[0];
rz(0.19831156195425192) q[0];
rx(1.8768171400065736) q[1];
rz(-0.08761800010391757) q[1];
cx q[1], q[0];
rz(-0.08205181893606728) q[0];
cx q[1], q[0];
rx(1.4798932518554346) q[0];
rz(0.08740187579292685) q[0];
rx(1.3856919979156697) q[1];
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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"IIIZIIIZI",
"IIZIIIZII",
"IIIIIZZII",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IZIZIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1,
0,
-0.5,
0,
-0.5,
-0.5,
0
] | 0.973442 | [
1.652306904232104,
0.11625974301818462,
1.8768171400065736,
-0.08761800010391757,
-0.23222398583000467,
0.394376960937048,
2.076715668672651,
0.5290077508073076,
0.10151560134889626,
-0.651615354160481,
-0.23061945252260305,
0.49567830754556663,
-0.4249797677380071,
-0.17052709710128258,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 25 |
e776e7ca61722eeb2742e447edcfe87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [128, 3], "expectation_value": -3.6636387528554337, "params": [[0.058800000000000005, 0.0644, 0.0385, 0.0181], [-0.0419, -0.0584, -0.041100000000000005, -0.038400000000000004]], "bitstrings": ["01111111", "11111100"], "total_optimization_steps": 10, "probabilities": [0.011201725346121152, 0.01309652766304099... | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.034122336178231724) q[0];
h q[1];
ry(0.8302250352322847) q[1];
h q[2];
ry(0.8302250352322847) q[2];
h q[3];
ry(0.8302250352322847) q[3];
ry(-0.018743600585612252) q[4];
rz(-pi) q[4];
ry(-0.010377398900047474) q[5];
rz(-pi) q[5];
h q[6];
ry(1.66339586... | 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": []} | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIZIIZII",
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.5,
-1.25,
-1.25,
-0.5,
-1.75,
-0.5,
-1.25,
-1.25,
1,
-1,
-2.25,
-0.25,
3,
0.5,
2.75,
-0.75,
-3,
0
] | 0.996088 | [
1.6633958676674003,
1.6604500704645695,
1.5726364930700092,
-1.5381559222144467,
-1.4640852504813424,
-1.5109462333724724,
-0.17593495145588436,
-0.09894538904475342,
-0.13352548151736307,
0.04487367811379654,
-0.07630612422321119,
0.00679707587567183,
0.025077255090628234,
-0.146377886311... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 1 |
31bcee1b066a63f64c6901bb1e1b69cb | 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": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 37], "expectation_value": -2.7780361481597797, "params": [-0.8144, -0.0152, 0.003, 1.4168, 0.0453, -1.0308, 1.9431, -0.6095, 0.0022, 1.4797, 1.5691000000000002, 0.006500000000000001, -0.8134, 0.0012000000000000001, 0.0029000000000000002, 0.0041, 0.038, 0.0025, 1.2015, 0.0097, 0.0023, 0.0066, 1.5677, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 3 | 6 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"ZIIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
e2d42d54466cad0e47a576fec07e2be9 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [85, 86], "expectation_value": -4.499863641630145, "params": null, "bitstrings": ["0101010", "0101001"], "total_optimization_steps": 33, "probabilities": [1.641415598457161e-05, 0.9999120688179428], "optimization_time": 25.312699556350708} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.9780527284148871) q[0];
rz(-0.32148690663209895) q[0];
ry(-0.7892727298300091) q[1];
rz(0.1975676236284789) q[1];
cx q[1], q[0];
ry(0.8962891467746957) q[0];
rz(0.052798159012349036) q[0];
ry(0.5058660408624864) q[1];
rz(-0.3978263625905253) q[1];
ry(-0.31629941256... | 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", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIIIZZI",
"IIZZIII",
"IZIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
0,
-0.5,
-0.5,
-0.5
] | 0.970089 | [
0.9780527284148871,
-0.32148690663209895,
-0.7892727298300091,
0.1975676236284789,
-0.3162994125644556,
-0.3927838541721411,
0.07591008131711265,
0.010362765644280701,
-0.004177353980553352,
-0.014282973755614476,
-0.006464029793591477,
-0.7218823444991684,
-0.3051057789958777,
-0.12106482... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 69 |
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": -11.323583943026327, "params": [-0.41550000000000004, 0.0033, -0.29600000000000004, 0.5875, -0.41290000000000004, 0.1384, -0.3049, 0.5485, -0.3821, 0.0557, -0.3259, 0.38970000000000005, -0.3906, 0.2837, -0.32980000000000004, 0.6245, -0.3675, 0.2852, -0.34540000000000004, 0.6676... | -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 | 3 | {"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 |
4c5a23f8c8a34bc9c0e926b6ce68cf56 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [0, 7], "expectation_value": -13.941964185781622, "params": [-0.0022, -2.0588, 0.0022, 0.0006000000000000001, -0.0022, 1.4033, -0.002, 0.006200000000000001, -0.0019, 2.391, 0.002, 0.0048000000000000004, -0.0018000000000000002, 2.4097, 0.0019, 0.0047, 1.3187, 3.1403000000000003, 0.8923000000000001, 0.0023, -1... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 2.0 * Z(1) + -2.0 * Z(0) + -2.0 * Z(2) + -2.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008907998117038513) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008907998117038513) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0030026574133024085) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.012160051034437798) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-2.5,
-2.5,
-2,
-2.5,
1,
1,
-1.5,
-1.5,
0.5,
2,
-2,
-2,
-2,
0.5,
0.5,
0.5
] | 0.970908 | [
-0.008907998117038513,
0.0030026574133024085,
0.012160051034437798,
0.017311852319611208,
0.10260007464896775,
-1.5737503648108313,
1.580037135188816,
1.5454240929634577
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 75 |
8974e5cad06096779812bbdbc32e906b | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [13, 102], "expectation_value": -0.23596678962140735, "params": [[0.0693, -0.0567], [-0.0787, 0.0015]], "bitstrings": ["1110010", "0011001"], "total_optimization_steps": 10, "probabilities": [0.009116747742407262, 0.009128018592246712], "optimization_time": 2.946895122528076} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.08523772634387355) q[0];
cx q[6], q[0];
rz(-0.6275000602258523) q[0];
rx(1.5361357999744325) q[0];
cx q[6], q[1];
rz(0.08523772634387355) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.085237726343873... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1.5,
-1,
0,
-0.5
] | 0.907523 | [
0.08523772634387355,
1.5480803404607733,
-0.6275000602258523,
-0.1404789535044987,
-1.4284191873658791,
1.5361357999744325,
0.8409867621609597,
2.115999799714608,
0.06031835036903118,
-0.3545913389992104,
-1.300356731263291,
0.007768805814347773,
-0.21896447238510156,
1.9712159137160128,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
983442ca2b6d0bd60908e6b5c7a55830 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1935], "expectation_value": -10.871299678842307, "params": [-0.3901, 0.4123, 0.6755, 0.0035, 0.7522000000000001, 2.1027, 0.5436, 0.0044, 0.807, 1.5849, -0.1383, 0.0032, 0.8257, 1.0679, -0.5613, 0.0059, 0.002, 1.0979, -0.0018000000000000002, 0.0067, -0.002, 0.9253, 0.0018000000000000002, 0.009600000000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(7)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00001110000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-1.568084242881601) q[0];
rz(-0.01830363510030608) q[0];
rx(2.131406485743764) q[1];
rz(2.9303954143369664) q[1];
rx(2.1544214666530066) q[2];
rz(3.039301811423563) q[2];
rx(2.956585842657288) q[3];
rz(2.6853591350776878) q[3];
rx(0.004463954651700692) q[4];
rz(2.26... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZII... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
1,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5
] | 0.903495 | [
-1.568084242881601,
-1.5890999618952037,
2.131406485743764,
1.3595990875420696,
2.1544214666530066,
1.468505484628666,
2.956585842657288,
1.1145628082827912,
0.0044639546517006926,
0.6983584785945564,
0.08265978118392771,
0.5450152175025974,
-0.16008365761546156,
0.24026791126339114,
-0.... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 500 |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 34], "expectation_value": -2.5990800713440496, "params": null, "bitstrings": ["011110", "011101"], "total_optimization_steps": 17, "probabilities": [0.07397724748225105, 0.9005658146173622], "optimization_time": 16.303542375564575} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx q[4],... | 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(-1.5158) 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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIIZ",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IZIZII",
"IZZIIZ",
"IIZZIZ",
"IZIZIZ",
"IZZZII",
"IZZZIZ",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
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,
-0.5,
-0.625,
-0.125,
-0.625,
-0.5
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
c86f9ec7eec6446b2b675d70d15f99d1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": ... | {"states": [499, 511], "expectation_value": -8.27014561185883, "params": null, "bitstrings": ["1000001100", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.11185097964608791, 0.3348294975918606], "optimization_time": 138.54729580879211} | -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(0) | 5 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-0.5189434641081592) q[0];
ry(2.4178374830412526e-08) q[0];
rz(2.0897397909030557) q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-3.141592662259253) q[2];
cx q[3], q[2];
rz(-1.57079634536655) q[2];
rx(-1.5707963477900353) q[2];
rz(-1.57079634536655) q[3];
rx(-1.57... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5681) q[9], 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] = measu... | [
"IIIIIIZZII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"
] | [
-1,
-1,
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.619048 | [
-3.141592662259253,
-1.5707963630801334,
-1.5707963453665497,
-1.5707963387864754,
-1.5707963477900353
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 152 |
cdb1ebb70ff63dada49563c8267249d6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 992], "expectation_value": -2.455674070343752, "params": [[-0.058100000000000006], [0.0694]], "bitstrings": ["1111111111", "0000011111"], "total_optimization_steps": 10, "probabilities": [0.0017792364382707541, 0.0018949036656726716], "optimization_time": 3.337141752243042} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 1.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000011111"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1361025613952218) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.05088357949174086) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.6219928104486313) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(1.1361025613952218) q[4];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI"... | [
-2,
0.5,
-2.5,
-2,
-2.5,
1,
0.5,
1,
-2,
-2.5,
-3,
1,
-2.5,
-2.5,
1,
-3,
1.5,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2.5,
1.5,
-2,
-2.5
] | 0.552278 | [
1.1361025613952218,
0.05088357949174086,
0.6219928104486313,
0.16295871509944157,
0.25370857756357534,
0.24455273313390022,
1.0619824694332143
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 189 |
b305367bc2e2ddaa066fe8b84210618a | 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": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [117, 110], "expectation_value": -18.185896712846453, "params": [[0.034800000000000005, 0.0066], [-0.0684, -0.056400000000000006]], "bitstrings": ["10001010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.010543618556119027, 0.0119423028893839], "optimization_time": 3.1191375255584717} | 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(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2364115448940784e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[0], q[2];
rz(1.5707962546560008) q[0];
rx(1.5707963244966565) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
1.5,
15.5,
13,
15,
13,
10,
6.5
] | 0.915441 | [
-1.2364115448940784e-8,
-1.570796288521854,
1.570796254656001,
-1.5707962902301755,
-2.293530648554822,
-1.5707963341692412,
-1.570796326359869,
1.570796377596495,
1.5707963244966565
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 231 |
ab957251534d09507f870c3a6ef42154 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.9999340839148516, "params": null, "bitstrings": ["101011", "101000"], "total_optimization_steps": 25, "probabilities": [1.383436257146194e-05, 0.9999481823871552], "optimization_time": 17.23260498046875} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | 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... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-1,
0
] | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
b85dd6ace7c460bbb04bd7cae4a67e40 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [368, 376], "expectation_value": -6.496448121015106, "params": [[[-0.0004, 0.0014, 0.006200000000000001, 0.0099], [1.383, -0.0028, 0.8831, 0.0043], [0.0029000000000000002, 0.006, 0.0023, 0.004200000000000001], [1.0493000000000001, -0.002, 1.0505, 0.001], [1.6028, 0.005, 0.0079, 0.0001], [0.38, 0.012, 1.58560... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["0110000111", "1010000111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.1520715951029742) q[0];
rz(-0.3165300880282422) q[0];
ry(1.4296206989358777) q[1];
rz(0.012388814602906702) q[1];
cz q[1], q[0];
ry(1.5726469705489774) q[1];
ry(0.05696119179428219) q[2];
rz(-0.20139541058532115) q[2];
ry(0.7056500127420143) q[3];
rz(-0.263749045... | 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",
"IIIIIIIZZI",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIZIIIZIII",
"IIIIIZIZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIIIIZIII"... | [
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,
-1,
-1.5,
-1.5,
-0.5,
-1.5,
-1.5,
-1,
-0.5
] | 0.981964 | [
-0.1520715951029742,
-0.3165300880282422,
1.4296206989358777,
0.012388814602906702,
0.05696119179428219,
-0.20139541058532115,
0.7056500127420143,
-0.26374904509084196,
2.7210632648978432,
-0.004492588119770262,
0.5780448165172669,
-0.05546026874286827,
2.763811360831114,
0.048490055204997... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 19 |
65508d90dd1df6aeab3034db48b3eb97 | 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}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 8}, {"weight": 12, "sourc... | {"states": [122, 234], "expectation_value": -36.96566110758862, "params": null, "bitstrings": ["110000101", "100010101"], "total_optimization_steps": 100, "probabilities": [0.06997996072615717, 0.28655766458081916], "optimization_time": 147.23423290252686} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 9.5 * Z(2) + 6.5 * Z(0) + 10.5 * Z(1) + 11.0 * Z(3) + 2.5 * Z(4) + 7.0 * Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.21816337415020468) q[0];
rz(0.4175684811346052) q[0];
rx(0.18971598735745715) q[1];
rz(-0.02146605368155674) q[1];
rx(0.5210116559374819) q[2];
rz(-0.15738196427700846) q[2];
rx(0.18971598735745718) q[3];
rz(0.09065730843443687) q[3];
rx(0.08478405438589943) q[4];... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"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(-2.4156) 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] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9.5,
6.5,
10.5,
11,
2.5,
7,
4,
10.5,
3.5
] | 0.970685 | [
-0.2181633741502047,
0.2656453650514902,
0.18971598735745718,
-0.025359832024117852,
0.5210116559374818,
-0.029698746354862124,
0.1896501665437001,
0.08478405438589945,
-0.5532839819173633,
0.4004717761730588,
-0.11492744595101717,
0.02428911722391795,
0.057751120864290434,
0.4221694129316... | {
"n_parameters": 130,
"n_qubits": 9,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 61 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [50, 35], "expectation_value": -4.499937482234167, "params": null, "bitstrings": ["001101", "011100"], "total_optimization_steps": 24, "probabilities": [1.6356494445438173e-05, 0.9999687417661177], "optimization_time": 22.07631254196167} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | 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[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... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
-2568259880308180167 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2], [2, 3], [2, 5], [4, 6], [2, 6], [0, 3]]} | {"states": [43, 11], "expectation_value": -1.771136913599877, "params": [[[0.4788, 0.0078000000000000005], [1.4814, 0.0024000000000000002], [0.48140000000000005, 0.0025], [2.7049000000000003, 0.005200000000000001], [0.4763, 0.0055000000000000005], [2.6041000000000003, 0.0071], [2.7012, 0.0036000000000000003]]], "bitstr... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110100", "0011100", "0110100", "1000011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.3067692718913381) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.3067692718913381) q[6];
cx q[3], q[6];
cx q[1], q[6];
cx q[3], q[0];
rz(0.6693539302483695) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"ZIIZIII",
"ZIIIIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZIZ",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666674,
0.16666666666666666,
0.16666666666666674,
0,
0,
0,
0
] | 0.515754 | [
0.3067692718913381,
0.6693539302483695,
-0.1335951659386469,
-0.7073823420185018
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 110 |
-7766961286763522825 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 6], [0, 1, 2, 3, 4, 7], [3, 6], [1, 5], [6, 7], [3, 5, 7]]} | {"states": [209, 241], "expectation_value": -0.04681152438140676, "params": [[0.0745], [-0.0718]], "bitstrings": ["00101110", "00001110"], "total_optimization_steps": 10, "probabilities": [0.004235271298023395, 0.004243795013413398], "optimization_time": 0.8252015113830566} | 0.19999999999999998 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["00001110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2412832822802878) 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(0.03435956376481592) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.019321902419551618) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIZIII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZZIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"ZIZIIIII",
"IIIIIZI... | [
0.19999999999999998,
0.16666666666666666,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.5,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333... | 0.529365 | [
-0.2412832822802878,
0.03435956376481592,
0.019321902419551618,
1.0863603857245507,
0.7024276513297428,
0.13132068401738795,
-0.8460215474658157
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 174 |
87817ed0e2b47d9c36c22c880413bf31 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, ... | {"states": [3759, 3727], "expectation_value": -1.2511117471131494, "params": [1.8998000000000002, 0.0024000000000000002, 1.9017000000000002, 0.0014, 1.9001000000000001, 0.0002, 1.0878, 0.001, 1.9084, 0.0026000000000000003, -0.0023, 0.0011, 1.5258, 0.0089, 1.5137, 0.0028, 1.9047, 0.0098, 1.9033, 0.0082, 1.9007, 0.0047, ... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 12 | 1 | {"smallest_eigenvalues": [-4.21875, -4.21875, -4.21875, -4.21875, -4.21875, -4.21875, -4.21875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -3.21875, "smallest_bitstrings": ["001101100000", "001001100001", "000101010100", "000101100010", "010101010000", "000101110000", "010001010001"], "largest_eigenv... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-2.9916356882464004) q[0];
rz(-0.8859281924514928) q[0];
rx(3.207354225615328) q[1];
rz(0.4075842274915907) q[1];
cx q[1], q[0];
rz(0.2953093974838311) q[0];
cx q[1], q[0];
rz(-0.006402885480095197) q[1];
rx(-2.9379742999689853) q[2];
rz(-0.5161419609445748) 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] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.978966 | [
3.2915496189331863,
-0.5906187949676622,
3.207354225615328,
0.4075842274915907,
3.3452110072106014,
-0.6861070536720177,
-0.028923821888268073,
0.13457292987234554,
3.300540352279058,
0.08139365263017524,
-0.09366211409025796,
-1.5704843482632795,
0.038027131363406616,
-0.7987513664288556,... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -4.21875,
"target_ratio": 0.97,
"target_value": -4.0921875
} | 43 |
39c299614cdca1aeef06b4d05c46dd6e | 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": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [5, 1], "expectation_value": -3.5513459578128788, "params": [[0.0697, 0.0688, 0.0623, 0.0726], [-0.0722, -0.0658, -0.053200000000000004, -0.064]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.02722751287250591, 0.04469959541203082], "optimization_time": 10.3103871... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 1 | 7 | 4 | {"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];
h q[2];
cx q[2], q[0];
rz(-0.7064181295083226) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.5297412730546158) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5297412730546158) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.17200761046108... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
2,
-0.25,
-1.25,
-1,
-0.25,
0.25,
-0.25,
-1.5,
2.25,
-0.75,
1.5,
-1.5
] | 0.970254 | [
-0.7064181295083226,
-0.5297412730546158,
-0.17200761046108173,
-0.6740578736102405,
0.8462304399433741,
-0.026248018073850438,
-2.2768178154757654,
-0.5136227084208217,
-2.491855359334902,
1.952256177134018,
-3.0458677864148798,
0.7066984414159515,
0.5264021877728264,
0.1704299764678417,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 230 |
3548e6a53fe7f33eccefb9f4fe0aae2f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [8190, 8191], "expectation_value": -34.457968562834516, "params": [0.0032, 0.8494, 0.0041, 0.8737, -0.0044, 0.7098, 0.006, 0.8671000000000001, 0.7823, -0.0031000000000000003, 0.787, 0.0008, 0.7823, -0.001, 0.7882, -0.0014, 0.7821, 0.0034000000000000002, 0.7825000000000001, 0.0033, 0.7894, -0.0028, 0.7942, -0... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 2.0 * (Z(9) @ Z(10)) + 4.0 * (Z(11) @ Z(10)) + 2.0 * ... | 7 | 15 | 2 | {"smallest_eigenvalues": [-35.33333333333288], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.33333333333316, "smallest_bitstrings": ["110000000000000"], "largest_eigenvalue": 79.66666666666661} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.20128190913001) q[0];
ry(0.06916472163768679) q[1];
ry(0.015663676468062392) q[2];
ry(0.19038815846766552) q[3];
ry(-0.15396474331331922) q[4];
ry(0.17130891105735244) q[5];
ry(-2.0689069311650736) q[6];
ry(3.088672280705279) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx ... | 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZIIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZIZIIIII",
"IIIIIIIZZIIIIII",
"IIIIIIZIIZIIIII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIZZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
-0.5,
-1,
1,
-0.5,
0.5,
1,
2,
4,
2,
1,
0.5,
1,
-1,
-0.5,
-1,
-0.5,
-1,
-0.5,
-1,
-0.5,
0.5,
-0.3333333333333333,
9,
4.5,
4.5,
1,
1.5,
3,
1.5,
9,
4.5,
9,
2.5,
-2,
-2,
-1,
-0.5
] | 0.970012 | [
1.20128190913001,
0.06916472163768679,
0.015663676468062392,
0.19038815846766552,
-0.15396474331331922,
0.17130891105735244,
-2.0689069311650736,
3.088672280705279,
0.961256083889363,
-2.2180829622012572,
0.06259172568247467,
-0.019184601799460674,
0.022320144500481698,
0.13323763239951938... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 87 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [2, 1], "expectation_value": -9.363444202838483, "params": null, "bitstrings": ["1101", "1110"], "total_optimization_steps": 18, "probabilities": [0.174792396062558, 0.6619641889393559], "optimization_time": 8.234177589416504} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-0.5729) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [21, 30], "expectation_value": -0.004825170536063433, "params": [[-0.0106], [0.0176]], "bitstrings": ["101010", "100001"], "total_optimization_steps": 10, "probabilities": [0.015683053594458943, 0.01569469371346541], "optimization_time": 0.9925885200500488} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 6.0} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
0,
0
] | 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 |
018b12be912e09a2d77e686d7af8fddd | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [132, 164], "expectation_value": -5.261632212819652, "params": [0.3, -0.0, 0.29660000000000003, -0.0009000000000000001, 0.0558, 0.165, 0.054700000000000006, 0.16920000000000002, 0.28290000000000004, 0.0236, 0.2838, 0.0623, 0.08660000000000001, 0.10160000000000001, 0.0952, 0.09860000000000001, 0.0104000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11001011", "00111011", "01011011"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2580964066659912) q[0];
rz(-0.21117170734919855) q[0];
rx(0.2236453342264979) q[1];
rz(0.2899012348046813) q[1];
cx q[1], q[0];
rz(0.15758957852033656) q[0];
cx q[1], q[0];
rz(1.5916246956514293) q[0];
ry(1.2288682688872645) q[0];
rz(-1.8278685929278398) q[0];
rx(-... | 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": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IIIIIZZI",
"IZIZIIII",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZZIIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIII... | [
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,
-1.5,
-2,
-1.5,
-1.5,
-2,
-0.5
] | 0.98231 | [
0.2580964066659912,
-0.05358212882886204,
0.2236453342264979,
0.2899012348046813,
0.246230235902976,
0.02455331958627646,
-0.06226804702075425,
-0.04617255606430069,
-0.004626800328049047,
0.19354287598964473,
0.7557181910742312,
0.11820336222571706,
-0.056529873358492216,
-0.0106806076540... | {
"n_parameters": 112,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [13, 5], "expectation_value": -3.483201511982002, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 26, "probabilities": [0.281083815520102, 0.42032312287331425], "optimization_time": 16.03312110900879} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
d570f88b03391174f5c4fdc37798fafa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [208, 240], "expectation_value": -3.5051836398033536, "params": [0.8039000000000001, -0.09290000000000001, 0.8052, 0.0025, 0.8033, 0.12190000000000001, 0.8068000000000001, 0.009300000000000001, 0.8025, -0.0927, 0.801, 0.0048000000000000004, 0.7994, 0.1772, 0.8031, 0.0038, 0.19160000000000002, -0.397300000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(1) + -1.0 * Z(4) + -1.5 * Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00001111"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6175144414593497) q[0];
rz(-0.22232900427623736) q[0];
rx(0.5183667130636511) q[1];
rz(0.016926362240339263) q[1];
cx q[1], q[0];
rz(0.0014986246313128393) q[0];
cx q[1], q[0];
rz(1.7254754685593765) q[0];
ry(1.6584657436649062) q[0];
rz(-1.4087148483683158) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIIZI",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IIZIIZII",
"ZIIIIZII",
"IIIZZIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-1.5,
-0.5,
-0.5
] | 0.975672 | [
0.6175144414593497,
-0.22083037964492458,
0.5183667130636511,
0.016926362240339263,
0.9297837846283916,
0.2697403432603015,
0.7475635848314435,
0.2750676878012669,
0.1077961393889561,
0.05319325525718893,
-0.2064230392215719,
0.4454149303901243,
-0.14722154626999356,
0.20234078815004414,
... | {
"n_parameters": 74,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [431, 427], "expectation_value": -4.970800240386627, "params": [0.6928000000000001, 0.1973, 1.0522, 0.1573, 0.4612, 0.3831, 1.0668, 0.21380000000000002, 0.3176, 0.4078, 1.0651000000000002, 0.0001, 0.4504, 0.37720000000000004, 1.0542, 0.0718, 0.7180000000000001, 0.1812, 0.6890000000000001, 0.1814, 1.0559, 0.1... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 18 | 9 | 3 | {"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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"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 |
7a43ef6d49c93e460e1d835c9d0a952d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [2047, 1023], "expectation_value": -12.546714638829863, "params": [[[0.0021000000000000003, 0.08070000000000001], [-0.0044, -0.0022], [-0.0039000000000000003, 0.0019], [-0.008, -0.0024000000000000002], [-0.0025, 0.0019], [-0.0014, -0.0029000000000000002], [-0.0086, -0.0027], [-0.0028, 0.002], [-0.0037, -0.00... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 2.25 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(10)) + -0.75 * (Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["10000000000", "10010000000"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.29546390560298513) q[0];
ry(0.0819584152198764) q[1];
ry(-0.13807382581333913) q[2];
ry(-0.06860100053383628) q[3];
ry(-0.08890346374739756) q[4];
ry(0.014684002349945002) q[5];
ry(-0.003048542188854984) q[6];
ry(0.025536647342204365) q[7];
ry(0.02577645976076051... | 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": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"IIIIIIZIZII",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIIIIIZIIZI",
"IIIIZIIIIZI",
"IIIZIIZIIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IIIIIZZIIII",
"ZIIIIZIIIII",
"IZIIIZIII... | [
-0.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
2.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
0.5,
-0.25,
0.75,
-0.5,
-0.5,
-1,
1.25,
1,
0.25,
-2.25,
0.75
] | 0.97198 | [
-0.29546390560298513,
0.0819584152198764,
-0.13807382581333913,
-0.06860100053383628,
-0.08890346374739756,
0.014684002349945002,
-0.003048542188854984,
0.025536647342204365,
0.02577645976076051,
-0.6072971643881065,
-0.3712600580295811,
0.024040088214779924,
0.013373300782558068,
-0.01219... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 82 |
9216166679680102600 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 5, 7, 8, 11], [8, 9, 4, 7], [1, 2, 3, 8, 9, 10], [8, 0, 10], [0, 2, 4, 6, 9, 11], [2, 3, 5, 6, 8, 10, 11], [8, 9, 1, 7], [0, 3, 4, 5, 6, 11], [1, 3, 6, 7, 9, 10, 11], [8, 9, 3, 7], [0, 1, 3, 5, 7, 9], [0, 2, 3, 4, 5, 6, 8], [2, 4, 5, 6, 8, 9, 10... | {"states": [3446, 2934], "expectation_value": -4.9892523403730795, "params": [1.5746, 0.0025, 1.5715000000000001, 0.0027, 1.8598000000000001, -0.2903, 1.7964, -0.5004000000000001, 0.6663, 0.3084, 0.6658000000000001, 0.005, 2.2799, 0.055400000000000005, 0.8767, -0.4456, 0.0031000000000000003, 1.8102, 0.0027, 0.0044, 1.5... | 0.2809523809523809 * (Z(0) @ Z(1)) + 0.12380952380952381 * (Z(4) @ Z(1)) + 0.1880952380952381 * (Z(4) @ Z(0)) + 0.2238095238095238 * (Z(5) @ Z(1)) + 0.23809523809523808 * (Z(5) @ Z(0)) + 0.1857142857142857 * (Z(5) @ Z(4)) + 0.31190476190476185 * (Z(7) @ Z(1)) + 0.20476190476190476 * (Z(7) @ Z(0)) + 0.23809523809523805 ... | 8 | 12 | 1 | {"smallest_eigenvalues": [-5.176190476190476, -5.176190476190476], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.173809523809524, "smallest_bitstrings": ["010010101000", "010010001001"], "largest_eigenvalue": 26.99999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.430062999224576) q[0];
rz(1.445599214302077) q[0];
rx(1.7795907846688275) q[1];
rz(-0.3876681074674092) q[1];
cx q[1], q[0];
ry(-0.0017662281575598713) q[0];
cx q[1], q[0];
ry(1.6948830769659182) q[0];
rz(-1.5650197326293496) q[0];
rx(1.8692426914601055) q[1];
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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIIZI... | [
0.2809523809523809,
0.12380952380952381,
0.1880952380952381,
0.2238095238095238,
0.23809523809523808,
0.1857142857142857,
0.31190476190476185,
0.20476190476190476,
0.23809523809523805,
0.13809523809523808,
0.16428571428571428,
0.2642857142857143,
0.15476190476190474,
0.14523809523809522,
... | 0.972857 | [
1.430062999224576,
-0.12519711249281987,
1.7795907846688275,
-0.3876681074674092,
0.9297106877568484,
0.2965258483322981,
2.399943523596108,
0.18799874879788434,
-0.14137647606693138,
1.804990168466292,
1.5459066094096703,
-0.04721689669018264,
1.574792761706452,
0.16047006587236873,
1.5... | {
"n_parameters": 56,
"n_qubits": 12,
"optimal_eigenvalue": -5.176190476190476,
"target_ratio": 0.97,
"target_value": -5.020904761904761
} | 3 |
cea40deaccddfc7c282a06b59a6c5087 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [1966, 1962], "expectation_value": -1.5752897912601604, "params": [1.0070000000000001, 1.0057, 1.0074, 1.0072, 1.0045, 1.0046, 1.006, 1.0048000000000001, 0.0019, 0.0019, 1.0070000000000001, 0.9997, 0.3512, 0.3511, 0.9948, 0.9957, 0.7585000000000001, 0.7619, 1.0044, 0.9975, 0.7537, 0.7553000000000001, -0.0264... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00001100110", "00001100011", "00011100010", "00101010100", "10001000011", "00011011000", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.049360359825409726) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.049360359825409726) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.049360359825409726) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.049360359825409726) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... | 0.976198 | [
-0.049360359825409726,
-1.6547730307802455,
1.532754734655337,
1.373934988578451,
-1.6128588254329537,
1.2887889665194403,
1.6575845151008592
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 41 |
1434096e59219230a9a448bfa214dbb8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [30, 31], "expectation_value": -3.5244052878380954, "params": [[[0.7203, -0.7102], [0.0025, 1.5874000000000001], [-0.0026000000000000003, -0.0026000000000000003], [-0.0026000000000000003, -0.0028], [-1.6553, 0.0029000000000000002], [-0.0027, 0.0029000000000000002]]], "bitstrings": ["100001", "100000"], "tota... | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.2564198566378726) q[0];
cx q[5], q[0];
rz(-0.3146460561418274) q[0];
rx(-1.6223542204331562) q[0];
cx q[5], q[3];
rz(-0.31464605614182717) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-0.11063528912386725) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x2) q[3];
ry(x3) q[4];
ry(x4) q[5];
cx... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.25,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
0,
-0.25,
0,
0.5,
-0.75,
0.5
] | 0.970556 | [
0.2564198566378726,
-0.31464605614182717,
-0.11063528912386725,
-0.22235587717504138,
0.043180038727850936,
0.9834780824833873,
0.5361200627626684,
0.807027611931993,
-1.6223542204331562,
0.5313479849503246,
-0.6614372268591644,
-0.18109175624279295,
-0.5344228021086342,
0.0592722986641893... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 114 |
8777ff3c42e14a86c796b9915ca51225 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [110, 109], "expectation_value": -11.196528183089164, "params": [[0.0422], [-0.0693]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007648325430756967, 0.007810641452555734], "optimization_time": 1.9650616645812988} | 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(5) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 14.5 * Z(1) + 9.0 * Z(0) + 13.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.009357746067172136) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.009357746067172136) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.009357746067172136) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.009357746067172136) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
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,
14.5,
9,
13.5,
15,
19,
-4,
14,
15.5
] | 0.973684 | [
-0.009357746067172136,
1.7343347017547897,
-2.22652197119133,
1.804039392927466,
1.4769531703997372,
1.6204196337017196,
-1.4304080186998116,
-1.5779268163954558,
1.9033652718512877,
-1.6191665728037676,
-0.25586609766135865,
-1.0317941735983325,
0.4007973848651246,
0.40980204608380066,
... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 66 |
57a4b911d32dbf9313db11214604ae1f | 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": [685, 681], "expectation_value": -98.67515904954922, "params": [1.0001, 0.2003, 0.1255, 0.45270000000000005, 0.9943000000000001, 0.0089, 0.0032, 0.6141, 0.9903000000000001, 0.007, 0.0038, 0.6973, 0.9927, 0.1388, 0.5487000000000001, 0.257, 0.3552, -0.317, 0.6044, 0.158, 0.9968, 0.19690000000000002, 0.1311, 0.... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(9) @ Z(2)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(9) @ Z(7)) + 17.5 * Z(0) ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["0101010110"], "largest_eigenvalue": 202.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.9674732536594156) q[0];
rz(0.6072117095953931) q[0];
rx(-0.11369564703342896) q[1];
rz(0.4371925129347028) q[1];
rx(1.0069502262891483) q[2];
rz(0.10888230770510343) q[2];
rx(-0.031969143236334735) q[3];
rz(0.6243630762352944) q[3];
rx(1.1035873727192165) 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, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIIZIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIZIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
17.5,
28,
0.5,
21,
-4.5,
14.5,
14,
4.5,
12,
-11
] | 0.971976 | [
0.9674732536594156,
0.6209335405566239,
-0.11369564703342896,
0.4371925129347028,
1.0069502262891483,
0.10888230770510343,
-0.031969143236334735,
0.6243630762352944,
1.1035873727192165,
-0.14934056095030107,
-0.007168913384767647,
0.6751057087418099,
0.9663249477450405,
0.12165114272776381... | {
"n_parameters": 82,
"n_qubits": 10,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 14 |
2e1dacbc6cad5ed3879997ca6d5d8c7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [112, 97], "expectation_value": -4.99651565542273, "params": null, "bitstrings": ["0001111", "0011110"], "total_optimization_steps": 22, "probabilities": [0.06700924257675868, 0.9297458928381555], "optimization_time": 23.269514322280884} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -2.0 * Z(5) + -1.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "0011110", "0111010", "1010110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.06245075130761329) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.06245075130761329) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[4];
rz(0.06245075130761329) q[4];
cx q[3], q[4];
cx q[3], q[2];
rz(0.0624507... | 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", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIIZZII",
"IZIIZII",
"IIZIZII",
"ZZIIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-2,
-1.5,
0,
-1.5,
-0.5
] | 0.973762 | [
0.06245075130761329,
-1.3586935150241741,
1.7960159222304546,
-1.6333200670878212,
1.2564441947049858,
-1.4840298616703587
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 31 |
7315cffe0b5dede12a8ac7922de6354f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [7933, 7420], "expectation_value": -39.430376087171645, "params": [[-0.0258, -0.0412, -0.0796, -0.1799], [0.4728, 0.3447, 0.2654, 0.1693]], "bitstrings": ["0000100000010", "0001100000011"], "total_optimization_steps": 60, "probabilities": [0.018114856331318905, 0.018171960831157206], "optimization_time": 32.... | -0.5 * (Z(0) @ Z(5)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + 2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + 4.0 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.875 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(5)) + 0.875 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(7)) +... | 1 | 13 | 4 | {"smallest_eigenvalues": [-44.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0001100000011"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.8461017394804872) q[0];
rz(-0.09828752457631751) q[0];
rx(0.8931785267418078) q[1];
rz(0.15878390029985712) q[1];
rx(1.0052116065928407) q[2];
rz(0.04784005170967623) q[2];
rx(-0.07283377410257255) q[3];
rz(-1.0534473927958765) q[3];
rx(-0.1344251143164993) 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": []} | [
"IIIIIIIZIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIZIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IIIIIIIZIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIZIIIIZI",
"IIIIIZIIIIIZI",
"IIIIIIIZIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIZII",
"IIIIIZIIIIZII",
"IIIIIIIIIIZZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-0.5,
2,
-1,
2,
-1,
4,
-1,
0.875,
-2,
-2,
-1,
0.875,
-2,
-2,
1.75,
0.5,
1,
1,
-0.5,
1,
2,
2,
2,
-1,
1,
2,
2,
2,
-1,
4,
-1,
0.875,
-2,
-2,
0.5,
-0.5,
1,
1,
-1,
1,
-1,
2,
2,
-2,
1,
5,
-0.3125,
10,
10,
-0.625,
-0.625,
... | 0.973262 | [
0.8461017394804872,
0.20687923176311931,
0.8931785267418078,
0.15878390029985712,
1.0052116065928407,
0.04784005170967623,
-0.07283377410257255,
-1.0534473927958765,
-0.1344251143164993,
-1.003750995246472,
0.6779590460870614,
0.18859212465208747,
1.198491431850985,
-0.030026211261719803,
... | {
"n_parameters": 111,
"n_qubits": 13,
"optimal_eigenvalue": -44.625,
"target_ratio": 0.97,
"target_value": -43.286249999999995
} | 2 |
51b2e32c5f0b0ad4a9a3e5f1ef3bba66 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -40.833953912157355, "params": [0.2787, 0.049100000000000005, 0.26630000000000004, -0.0471, 0.26780000000000004, 0.0442, 0.2757, -0.0381, 0.004, 0.5341, -0.0004, 0.5704, 0.0475, 0.4203, -0.0776, 0.49660000000000004, -0.054200000000000005, 0.3806, -0.0492, 0.48500000000000004, -... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(8)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + -2.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + -3.5 * (Z(5) @ Z(3)) + 1.5... | 6 | 9 | 4 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 33.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.3997121042224512) q[0];
rz(1.4819857014106148) q[0];
rx(-0.6814063427213722) q[1];
rz(2.413562535142031) q[1];
rx(-0.2054815709244816) q[2];
rz(1.8744629415494316) q[2];
rx(-0.06032141017990702) q[3];
rz(2.1960195907377766) q[3];
rx(-0.015280862923008912) 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... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIZII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"... | [
-1,
-3,
-3.5,
-3.5,
0.5,
1,
1,
0.5,
-4,
-2.5,
-3.5,
1.5,
-4,
-3.5,
1.5,
-3.5,
1.5,
-3.5,
1,
-3.5,
-3.5,
0.5,
0.5,
2.5,
-2.5,
-3,
1,
1.5,
-3,
-3
] | 0.976301 | [
-0.3997121042224511,
-0.08881062538428311,
-0.6814063427213723,
0.842766208347133,
-0.2054815709244816,
0.30366661475453494,
-0.06032141017990702,
0.6252232639428812,
-0.015280862923008912,
0.8594620645505905,
-0.04411238302805447,
0.9782403956433755,
-0.026733118017225346,
0.3909254278110... | {
"n_parameters": 130,
"n_qubits": 9,
"optimal_eigenvalue": -41.5,
"target_ratio": 0.97,
"target_value": -40.254999999999995
} | 40 |
-8883958345694491462 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [2, 3], [0, 2], [1, 5], [0, 4], [0, 6]]} | {"states": [213, 93], "expectation_value": -2.7493732388822787, "params": null, "bitstrings": ["100101010", "110100010"], "total_optimization_steps": 70, "probabilities": [0.05046020399435068, 0.7203263398954631], "optimization_time": 75.19822430610657} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["001011101", "001011110", "011010110", "011010101", "100101001", "100101010", "110100001", "110100010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.113038946548403) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-1.113038946548403) q[0];
cx q[2], q[0];
rz(1.2350728439969316e-08) q[2];
rx(0.7853981738023841) q[2];
rz(1.2350728439969316e-08) q[3];
rx(0.7853981738023841) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[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... | [
"ZZIIIIIII",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.63315 | [
-1.113038946548403,
1.2350728381435806e-8,
0.785398173802384
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
2c89eaac5bcf6376fd12aee452ccfaa3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": ... | {"states": [2048, 2047], "expectation_value": -17.23596321683213, "params": [[[-0.0008, 0.008400000000000001], [0.0056, -0.0066], [0.0037, -0.0022], [0.0041, 0.0026000000000000003], [0.007, 0.0025], [0.0004, 0.0025], [0.0055000000000000005, -0.0028], [0.0027, -0.0025], [0.0047, 0.0025], [0.0053, 0.0029000000000000002],... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(4)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(10) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(2) @ ... | 15 | 12 | 3 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.08410898113070929) q[0];
ry(-0.17289515197653887) q[1];
ry(0.10764605539227817) q[2];
ry(0.29107746985104066) q[3];
ry(-0.016935916722016275) q[4];
ry(0.0554650934350886) q[5];
ry(0.05020757472155191) q[6];
ry(-0.012525008982323553) q[7];
ry(0.07754447559757953) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIZIIIIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIIZIZIIII",
"IZIIIIZIIIII",
"IIIZZIIIIIII",
"IIIZIIIIZIII",
"IIIZIZIIIIII",
"IIIIIIIIZZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIZIIIIIZII",
"IIZIIIIIZIII",
"IZZIIIIII... | [
-0.5,
-0.5,
1.25,
-1,
-1,
-0.75,
-2.25,
-0.25,
-0.25,
-1.5,
-1.5,
-1.25,
-0.5,
-1.5,
-1.5,
-0.5,
-0.75,
-0.75,
-1.25,
-0.5,
-0.5,
-0.25,
-2.75,
-1.5,
2.75,
-2.75,
1,
0.5,
0.75,
0,
1.5,
1.25
] | 0.970808 | [
-0.08410898113070929,
-0.17289515197653887,
0.10764605539227817,
0.29107746985104066,
-0.016935916722016275,
0.0554650934350886,
0.05020757472155191,
-0.012525008982323553,
0.07754447559757953,
0.2558667763853891,
-1.591771027267654,
-0.7009850163719287,
-0.033289702523187234,
-0.066770655... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 53 |
d6991d057b315b177a32f1a4a2aac75c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [506, 250], "expectation_value": -3.0520281403180767, "params": [0.09380000000000001, 0.1004, 0.0965, 0.09920000000000001, 0.3025, 0.2993, 0.2995, 0.29510000000000003, 0.2958, 0.30460000000000004, 0.2994, 0.3044, 0.2992, 0.29860000000000003, -0.0028, -0.005, 0.2999, 0.3029, 0.0017000000000000001, -0.00060000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 14 | 10 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1000000111", "0010100101", "1000100101", "0100100101", "1100000101", "0100010101", "0101000101"], "largest_eigenvalue": 6.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.8721926881825792) q[0];
rz(pi/2) q[0];
ry(0.011994780182612724) q[1];
ry(1.8959561267241176) q[2];
ry(1.622167989491603) q[3];
ry(1.936090818574434) q[4];
ry(1.7222393404414162) q[5];
ry(1.7301073604748325) q[6];
ry(-0.5782804483051742) q[7];
ry(1.405056998412797... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIIIZIIZI"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.... | 0.977666 | [
-0.8721926881825792,
0.011994780182612724,
1.8959561267241176,
1.622167989491603,
1.936090818574434,
1.7222393404414162,
1.7301073604748325,
-0.5782804483051742,
1.4050569984127974,
-0.07157364265413833,
-0.009412620610943542,
0.06943085401228247,
1.0178640686710358,
0.0472153602388203,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -3.9375,
"target_ratio": 0.97,
"target_value": -3.819375
} | 48 |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 21], "expectation_value": -0.3011028177276146, "params": [[-0.0472, -0.06760000000000001], [0.061700000000000005, 0.062200000000000005]], "bitstrings": ["010110", "101010"], "total_optimization_steps": 10, "probabilities": [0.018900352187076766, 0.019458789045201572], "optimization_time": 3.373411893844... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) q[4];
rz... | 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",
"IIIZZI",
"IZIIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
0
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
23566b7dc073070f3c3d1febbd648acb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [80, 208], "expectation_value": -4.979668644321254, "params": [[[0.4006, -0.0009000000000000001], [0.40590000000000004, -0.0013000000000000002], [0.1337, 0.13970000000000002], [0.39840000000000003, 0.0014], [-0.0067, 0.1963], [-0.0017000000000000001, -0.18430000000000002], [-0.0055000000000000005, -0.1962], ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["00101111", "11011100", "00111011"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.9350349353554419) q[0];
ry(2.723227157458722) q[0];
rz(-2.5761253669065542) q[0];
rz(0.7403936229474484) q[1];
ry(2.843044522072277) q[1];
rz(-2.3919871952613803) q[1];
rz(1.5030413128833189) q[2];
ry(0.1843422947935568) q[2];
rz(-1.7990146011560029) q[2];
rz(1.729... | 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": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IIIIZZII",
"IIZZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IIZIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIII... | [
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,
-1.5,
-1.5,
-1,
-1,
-1,
-2
] | 0.974795 | [
0.34672769055357,
-0.10963856804919864,
0.6426898917654877,
-0.10112846519131802,
0.2690831861065717,
0.06806547420767362,
0.5309310771848574,
0.004971239771119594,
0.02787517554317885,
0.28564528816323814,
-0.0762288804586928,
-0.4244487423955377,
-0.22577502532835392,
-0.1735764863169372... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 14 |
04fe200220cb0278b572d83172c75de9 | 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": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [4, 5], "expectation_value": -9.249999999982546, "params": null, "bitstrings": ["1111011", "1111010"], "total_optimization_steps": 23, "probabilities": [4.6560002562450655e-12, 0.9999999999936049], "optimization_time": 17.682284116744995} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.06130815730018118) q[0];
rz(0.463469290764003) q[0];
rx(-0.07581104059622698) q[1];
rz(0.0489247887747748) q[1];
rx(-0.011251041592074667) q[2];
rz(-0.5619835883705591) q[2];
rx(-0.00789090442000682) q[3];
rz(0.27967715048844255) q[3];
rx(0.20171769347520233) q[4]... | 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[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", "... | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.75,
-1,
-1.25,
1,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.25,
-0.25,
-1.5,
-0.75,
0.75,
0,
2
] | 0.976998 | [
-0.061308157300181174,
0.30964234416005165,
-0.07581104059622698,
-0.17585963221822506,
-0.01125104159207467,
-0.4382858872484008,
-0.007890904420006818,
0.39046647275242663,
0.2017176934752023,
-0.3470176638746595,
0.08692341497440934,
-0.309682958908232,
0.7849760118838354,
0.03717952235... | {
"n_parameters": 71,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
-6564145062955255317 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 1, 3], [2, 4], [4, 6]]} | {"states": [102, 115], "expectation_value": -0.6231115041353066, "params": [[0.37370000000000003], [-0.3672]], "bitstrings": ["0011001", "0001100"], "total_optimization_steps": 40, "probabilities": [0.022620828345593008, 0.022620828345593008], "optimization_time": 1.6050138473510742} | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(5) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(1) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0011001", "0001100"], "largest_eigenvalue": 2.4999999999999996} | 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[2];
rz(1.1559638074881196) q[2];
cx q[4], q[2];
rz(-0.06383186589752521) q[2];
rx(-0.7910019425429303) q[2];
h q[5];
cx q[5], q[3];
rz(1.1559638074881196) q[3];
cx q[5], q[3];
cx q[3], q[0];
rz(0.38577191096704666) q[0]... | 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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q... | null | {"circuits": [], "gradients": []} | [
"IZIZIII",
"IIIZIIZ",
"IIIZIZI",
"IIIIIZZ",
"IIZIZII",
"ZIZIIII",
"IZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0
] | 0.676183 | [
1.1559638074881196,
0.38577191096704666,
-0.063831865897525,
-0.7910019425429303
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 110 |
0963943ecfb82868686868de206d3c2c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [0, 13], "expectation_value": -2.020431639181819, "params": null, "bitstrings": ["11111", "10010"], "total_optimization_steps": 20, "probabilities": [0.06312583727485936, 0.6609303434568208], "optimization_time": 10.331519842147827} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4948710520914895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.4948710520914895) q[3];
cx q[0], q[3];
rz(-0.4948710520914896) q[3];
rx(-1.058874037423115) q[3];
h q[4];
cx q[1], q[4];
rz(0.2625528553115834) q[4];
cx q[1]... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.4449) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
0.25,
-0.25,
-0.25,
-0.25,
0.5
] | 0.618491 | [
-0.4948710520914895,
0.2625528553115834,
1.6007806305011483,
1.859838942507385,
1.4865699529568797,
-1.0588740374231147,
-0.22546151729226455,
0.8787999957155911,
3.678727237984558,
1.550791867295464,
1.2526545709057826,
-0.6302460970158399
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 418 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -9.24999636362305, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [1.8181884717417974e-06, 0.9999981818115276], "optimization_time": 16.316953897476196} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) q[... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
8f10d6fbc1f6100cc49a5e43ecae2ea3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -15.920684385566236, "params": [[-0.0323, -0.0085], [0.06280000000000001, 0.07010000000000001]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.010140456528555533, 0.012146420539498718], "optimization_time": 3.821640968322754} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(1) + 1.0 * Z(0) + 6.5 * Z(2) + 14.5 * Z(4) + 3.0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 125.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15608686303447616) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.15608686303447616) q[2];
cx q[0], q[2];
rz(-0.7850017041664485) q[0];
rx(-0.046842893956655196) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.15608686303447616) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
1,
6.5,
14.5,
3,
14,
11,
18
] | 0.971452 | [
-0.15608686303447616,
0.46652307578517876,
-0.7850017041664477,
0.9199353917160591,
0.9147883167695685,
0.09053092803155553,
1.1194711629506844,
0.9234693794083586,
1.335718423763292,
-0.046842893956655175,
0.10463370217857586,
0.4928843088586032,
-0.5179596281193316,
1.0637372107273424,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 51 |
d8599bde85b0c05964d24178d1386cdc | 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": [63, 59], "expectation_value": -124.00782092572861, "params": [-0.003, 0.5487000000000001, -0.0015, 0.546, -0.0009000000000000001, 0.6618, 0.741, -0.0059, 0.7915000000000001, 0.0056, 0.7629, 0.0021000000000000003, 0.34140000000000004, 0.25, 0.873, 0.1169, 0.6622, 0.023200000000000002, -0.0005, 0.5465, -0.006... | 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(3) @ Z(7)) + 7.0 * (Z(3) @ Z(6)) + 7.0 * (Z(3) @ Z(8)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) ... | 16 | 9 | 4 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.0, "smallest_bitstrings": ["111000100"], "largest_eigenvalue": 303.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07406961046249144) q[0];
rz(0.1904055285105919) q[0];
rx(0.12505863387506036) q[1];
rz(0.5824373584034837) q[1];
cx q[1], q[0];
rz(0.18276324021156604) q[0];
cx q[1], q[0];
rx(0.05699670534222125) q[0];
rz(0.3392963440987993) q[0];
rz(-0.2794664497593316) q[1];
rx... | 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, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IZIIZIIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIZZIII",
"IZIIIZIII",
"IIZIIZIII",
"ZIIIIZIII",
"IIIZZIIII",
"IZIZIIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZIIIZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIZIIIIII",
"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
36.5,
-5.5,
29.5,
26,
28,
28.5,
36,
-4,
-9
] | 0.9722 | [
-0.07406961046249144,
0.3731687687221572,
0.12505863387506036,
0.5824373584034837,
0.07226846325637085,
0.6519990972215582,
0.7117712045837511,
0.22476170254752953,
0.9164304815384334,
0.05012594720506564,
0.7544685347702162,
0.05062177773664477,
0.042934129772561,
0.1412840787517876,
0.... | {
"n_parameters": 97,
"n_qubits": 9,
"optimal_eigenvalue": -130,
"target_ratio": 0.97,
"target_value": -126.1
} | 2 |
470175375158941654 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [8, 6], [1, 3, 5], [5, 6], [0, 3], [4, 6, 7], [8, 1], [8, 7]]} | {"states": [57, 230], "expectation_value": -0.08427462423537486, "params": [[0.0787], [-0.0781]], "bitstrings": ["111000110", "100011001"], "total_optimization_steps": 10, "probabilities": [0.0022845163848517983, 0.0023025647441849706], "optimization_time": 2.52742338180542} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.19943246517609176) q[0];
h q[1];
ry(0.8159266731811888) q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.19943246517609176) q[0];
cx q[3], q[0];
ry(-0.8281767394007528) q[0];
ry(1.129393935450757) q[3];
h q[4];
ry(-0.4655165965784095) q[4];
cx q[2], q[4];
ry(0.46... | 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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(x1) q[6];
cx q[4], q[6];
cx q[6], q[8];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZII",
"IIZIZIIII",
"ZIZIIIIII",
"ZIIIIIIZI",
"IIIIIZIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIIZIIZ",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0,
0.16666666666666652,
0,
0.16666666666666663,
0.16666666666666663,
0.16666666666666663,
0,
0.1666... | 0.973431 | [
-0.3988649303521835,
1.4504111786652216,
1.6318533463623777,
-0.9093153890352065,
1.6598379620590424,
-0.9580676921307597,
-0.931033193156819,
0.5437906042940406,
-0.26537272782437604,
0.7985159541916155,
-0.6092821801969954,
0.6617559625182828,
0.577570194365221,
0.15204284849627298,
-0... | {
"n_parameters": 54,
"n_qubits": 9,
"optimal_eigenvalue": -3.666666666666666,
"target_ratio": 0.97,
"target_value": -3.556666666666666
} | 19 |
-3262654968474390693 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [1, 2], [0, 4], [0, 1], [2, 3], [3, 5], [0, 5], [0, 2], [4, 5]]} | {"states": [54, 38], "expectation_value": -2.2812493298190333, "params": null, "bitstrings": ["001001", "011001"], "total_optimization_steps": 41, "probabilities": [0.37927777674136404, 0.45839866646070293], "optimization_time": 40.09931492805481} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["011001", "010110", "001001", "100110", "110110", "101001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.5595858060798309) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(-0.5595858060798309) q[1];
cx q[2], q[1];
cx q[4], q[0];
rz(-0.5595858060798309) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(-0.5595858060798309) q[0];
cx q[... | 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];\ncry(-1.0342) q[4], 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 ... | [
"IZIZII",
"IIIZZI",
"IZIIIZ",
"IIIZIZ",
"IIIIZZ",
"IIZZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.527334 | [
-0.5595858060798309,
1.634004980744371e-8,
0.6688539335452777
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 105 |
cf9a1540b011355d554ff1ed574e9153 | 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": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [119, 118], "expectation_value": -33.109392399075645, "params": [[-0.0402, -0.004, 0.0027, 0.0059], [0.0762, 0.0687, 0.068, 0.0597]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.02309108035702808, 0.02633566195813528], "optimization_time": 6.180098533630371} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ 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(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
-746077927858631906 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 5], [1, 4, 6], [0, 1, 4], [0, 3, 4], [2, 3], [2, 6], [4, 5], [1, 3, 6]]} | {"states": [75, 107], "expectation_value": -0.8892260548953594, "params": [[0.27990000000000004], [-0.2861]], "bitstrings": ["0110100", "0010100"], "total_optimization_steps": 30, "probabilities": [0.02152047099746831, 0.022358470162452296], "optimization_time": 1.9416606426239014} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["0010100"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.702603335851504) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(0.702603335851504) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.48788974004984215) q[1];
cx q[4], q[1];
rz(-0.31221247983864675) q[5];
rx(-0.821103359... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IZIIZII",
"IZZIIII",
"IIZIIZI",
"ZIIIZII",
"ZIZIIII",
"ZIIIIZI",
"IIZIIIZ",
"IIIIIZZ",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"ZIIZIII",
"IIIZIIZ",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII"
] | [
0.5,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0,
0.5,
0.4999999999999999,
0.33333333333333326,
0.3333333333333333,
... | 0.528971 | [
0.702603335851504,
0.48788974004984215,
0.04666732429711114,
-0.3122124798386466,
-0.8211033590395597
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 134 |
da6de443994ec7cab9dac14bc89c1781 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [200, 136], "expectation_value": -8.97878244600087, "params": [0.0032, 0.30110000000000003, -0.0015, 0.30870000000000003, 0.001, 0.30810000000000004, 0.0043, 0.2979, 0.0015, 0.3033, 0.001, 0.31020000000000003, 0.0015, 0.2652, 0.0008, 0.30810000000000004, 0.0455, -0.034800000000000005, 0.029, 0.05950000000000... | -0.5 * (Z(12) @ Z(4)) + -1.0 * (Z(13) @ Z(4)) + 2.0 * (Z(13) @ Z(12)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(12)) + -1.0 * (Z(5) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(12)) + -1.0 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(12)) + -1.0 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(... | 6 | 14 | 2 | {"smallest_eigenvalues": [-10.099999999999934, -10.099999999999934], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.099999999999923, "smallest_bitstrings": ["11110011010001", "11111101110111"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.5051714381411025) q[0];
rz(0.20980078770160016) q[0];
ry(-0.09120040829297402) q[1];
ry(-0.049190814351548595) q[2];
ry(0.199048662505671) q[3];
ry(-0.09120040829297402) q[4];
ry(0.15224748253395742) q[5];
ry(0.06806644044220848) q[6];
ry(0.08011436596032229) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZIIII",
"ZIIIIIIIIZIIII",
"ZZIIIIIIIIIIII",
"IIIIIIIIZZIIII",
"IZIIIIIIZIIIII",
"ZIIIIIIIZIIIII",
"IIIIIIIZIZIIII",
"IZIIIIIZIIIIII",
"ZIIIIIIZIIIIII",
"IIIIIIIZZIIIII",
"IIIIIIZIIZIIII",
"IZIIIIZIIIIIII",
"ZIIIIIZIIIIIII",
"IIIIIIZIZIIIII",
"IIIIIIZZIIIIII",
"IIIIIIIIIZIIIZ"... | [
-0.5,
-1,
2,
0.5,
-0.5,
-1,
0.5,
-0.5,
-1,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.4,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-1,
-1,
-2,
-1,
-1,
2,
-0.5,
-1,
-0.5,
0.5,
1,
-0.5,
0.5,
-0.2,
0.5,
-1,
-2,
0,
0.5,
0.5,
-0.19999999999999996,
... | 0.970418 | [
0.5051714381411025,
-0.09120040829297402,
-0.049190814351548595,
0.199048662505671,
0.15224748253395742,
0.06806644044220848,
0.08011436596032229,
0.13569255146606926,
0.20196926478774385,
0.30285178143672364,
0.12116794568188916,
-0.10898963328516217,
0.4196015754032003,
0.184007408313581... | {
"n_parameters": 141,
"n_qubits": 14,
"optimal_eigenvalue": -10.099999999999934,
"target_ratio": 0.97,
"target_value": -9.796999999999935
} | 25 |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 38], "expectation_value": -0.6813283448609652, "params": [[-0.0678, -0.0857], [0.0671, 0.0765]], "bitstrings": ["100111", "011001"], "total_optimization_steps": 10, "probabilities": [0.021119107025043996, 0.023196180690654402], "optimization_time": 2.9371020793914795} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1
] | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
5bfd79024282ae69c62758a244a2de56 | kclique | 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": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [38, 7], "expectation_value": -5.969696242052263, "params": [[[1.5728, 1.5212], [0.0453, 1.5253], [0.0019, 0.0161], [1.5259, 1.6199000000000001], [1.6053000000000002, 0.7718], [1.5730000000000002, 1.5727]]], "bitstrings": ["011001", "111000"], "total_optimization_steps": 250, "probabilities": [0.424119762673... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (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)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 15 | 6 | 1 | {"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;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1... | {"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,
2,
2,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
9d210320770659afd6c4df9432851dd5 | 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, 1021], "expectation_value": -0.4426770334865846, "params": [[0.0761], [-0.0679]], "bitstrings": ["0000000000", "0000000010"], "total_optimization_steps": 10, "probabilities": [0.0013967425811516464, 0.0014258186210762249], "optimization_time": 2.753634452819824} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(2) + 0.5 * Z(9) + -0.5 * Z(8) | 5 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.764811711578853) q[0];
rz(1.401821238215529) q[0];
rx(-1.3438111623678597) q[1];
rz(1.6215514945295517) q[1];
rx(-2.8706179825194638) q[2];
rz(2.1604516994616514) q[2];
rx(2.937109841823813) q[3];
rz(1.8569562550251328) q[3];
rx(-3.03671375413231) q[4];
rz(2.1185... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x1) q[3];
cx q[4]... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIZII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970402 | [
-1.7648117115788533,
-0.16897508857936747,
-1.3438111623678597,
0.050755167734654376,
-2.8706179825194638,
0.5896553726667542,
2.937109841823813,
0.28615992823023606,
3.2464715530472765,
0.5477910946467446,
2.301842578349273,
0.031502677598615275,
3.126611720555391,
0.2413856615184078,
0... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 259 |
-5016235471855996807 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5], [1, 3, 6], [0, 1, 3, 5], [3, 4, 6], [3, 5, 6], [0, 3, 6], [0, 4, 5], [2, 6], [0, 2], [1, 4, 5, 6], [1, 7]]} | {"states": [198, 124], "expectation_value": -1.111060284487728, "params": [[0.2452], [-0.2336]], "bitstrings": ["00111001", "10000011"], "total_optimization_steps": 30, "probabilities": [0.00954783381010378, 0.009926734528610306], "optimization_time": 7.058113098144531} | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.66666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 9.499999999999998} | 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[2];
rz(0.03219422170229807) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.017469102528922444) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.03219422170229807) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(0.010912695138033158) 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] 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... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIZI",
"IIIIZIII",
"IIIIIZI... | [
0.08333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.6666666666666666,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666... | 0.970047 | [
0.03219422170229807,
0.017469102528922444,
0.010912695138033158,
-0.022919481342331988,
0.033430951184941375,
0.03867996087284186,
-1.4510637103020008,
-1.5886718369746933,
1.4944740532255034,
1.6070514482216214,
1.6088374622037984,
1.6295349866104898,
1.4976575627671485,
-1.54528244406294... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 157 |
4555823087914865756 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 6, 7], [0, 1, 2, 3, 4], [0, 1, 2, 3, 5, 6], [3, 4, 5]]} | {"states": [245, 213], "expectation_value": -0.8162952277955026, "params": null, "bitstrings": ["00001010", "00101010"], "total_optimization_steps": 52, "probabilities": [0.21673610523862363, 0.2861661915213444], "optimization_time": 82.48043632507324} | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(0)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(1) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9333333333333336, -0.9333333333333336, -0.9333333333333336], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9333333333333333, "smallest_bitstrings": ["00100101", "00101010", "01000101"], "largest_eigenvalue": 4.0} | 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[0];
rz(5.368217205978486e-09) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-2.733146207920622e-07) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(3.7174304535763685e-07) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-3.43921... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3988) 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[... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IZIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IZZIIII... | [
0.13333333333333333,
0.26666666666666666,
0.1,
0.08333333333333334,
0.08333333333333334,
0.05,
0.05,
0.05,
0.05,
0.05,
0.08333333333333334,
0.08333333333333334,
0.05,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.05,
0.03333333333333333,
0.08333333333333334,
... | 0.964286 | [
5.368217205978486e-9,
-2.733146207920622e-7,
3.7174304535763685e-7,
-3.439217234012429e-8,
2.4353723194534876e-8,
3.1914721288942196e-7,
0.0000011252574159277961,
-1.727962069259379e-7,
-1.570796567530152,
1.5707947583984443,
1.5707960169884485,
1.5726645839457527,
1.5707979266161387,
-1.5... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -0.9333333333333336,
"target_ratio": 0.97,
"target_value": -0.9053333333333335
} | 483 |
a334efffc8d0c28570497f55907aa2b4 | 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": [634, 602], "expectation_value": -79.64937286027815, "params": [0.9957, 0.2536, 0.1303, 0.5043, 0.0021000000000000003, 0.73, 0.9948, 0.1507, 0.5524, 0.3121, 0.9955, 0.0005, 0.9977, 0.1356, -0.0044, 0.5877, 0.9967, 0.2808, 0.1635, 0.5293, 1.0005, 0.2555, 0.125, 0.5104000000000001, 0.0041, 0.6229, 0.9992000000... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 10.0 * Z(0) + 12.5 * Z(3) + 15.5 * Z(5) + 11.0 * Z(4) + 6.0 * Z(6) + -4.0 * Z(7) + 1.0 ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["0110100101"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.0442009618407682) q[0];
rz(-0.10900149667017178) q[0];
rx(0.23217321783029438) q[1];
rz(0.5508330170040089) q[1];
rx(-0.058064793889498534) q[2];
rz(1.1006366097196087) q[2];
rx(1.1448549870214182) q[3];
rz(0.12109638134288744) q[3];
rx(0.1740993391979987) 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, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIZZIIIIII",
"ZIIIZIIIII",
"IZIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0.5,
10,
12.5,
15.5,
11,
6,
-4,
1,
7.5,
-9
] | 0.970171 | [
1.0442009618407684,
0.15451371899739547,
0.23217321783029438,
0.5508330170040089,
-0.058064793889498534,
1.1006366097196087,
1.1448549870214182,
0.12109638134288744,
0.1740993391979987,
0.4458258973096329,
1.1447573564497044,
-0.1782165263468679,
1.2874302333542742,
0.03642848202591002,
... | {
"n_parameters": 83,
"n_qubits": 10,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 12 |
6cffe11a862f6465de426e477843dd3a | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [468, 453], "expectation_value": -0.2299861211419525, "params": [[0.0063, -0.29860000000000003, 0.0008, 0.0028, 0.0049, 0.0071, 0.0055000000000000005, -0.0033, 0.0015], [0.0054, 1.1465, -1.2184000000000001, 0.0054, 0.0017000000000000001, 0.007200000000000001, -1.2683, 0.0077, 0.0006000000000000001], [0.0037,... | 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": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110100", "001011010", "100011010", "010011010", "010010110", "010010101", "010010011", "011010010", "000111100", "000111010"], "largest_e... | 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];
h q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.47617239049210797) q[0];
h q[0];
rx(-1.0298166976998127e-06) q[1];
h 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IZZIIIIII",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIZZIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIZII",
"... | [
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,
0.5,
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,
0.25,
0.125,
-1,
-0.125,
-0.... | 0.071429 | [
-0.47617239049210797,
-0.0000010298166976998127,
-0.2586279734373631,
1.0728386367444025,
-0.9107582638195201,
-0.030747009456142955,
-0.5126048496934387,
-1.8499753688461737e-7,
-0.17268737191273778,
-0.006768059677663052,
0.6467958319550144,
-1.5707949761418876,
0.45952933031194904,
-0.1... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 468 |
-8132906901157302131 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 5, 7], [1, 2, 3, 4, 6], [0, 1, 3, 4], [0, 1, 6, 7], [1, 2, 6, 7], [2, 3, 4, 5, 6], [1, 3, 4, 5, 7]]} | {"states": [245, 246], "expectation_value": -0.7973188557707449, "params": [[-0.342], [0.3462]], "bitstrings": ["00001010", "00001001"], "total_optimization_steps": 40, "probabilities": [0.008050428879987678, 0.008083044613713728], "optimization_time": 4.096635580062866} | 0.05 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.1333333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5500000000000003, -1.5500000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5499999999999998, "smallest_bitstrings": ["00001001", "01000100"], "largest_eigenvalue": 7.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.841236941922257) q[0];
rz(1.555049578035808) q[0];
rx(0.1684535354440778) q[1];
rz(1.5462457553574884) q[1];
rx(1.7717639242492171) q[2];
rz(1.1716261437720998) q[2];
rx(1.1571066255132134) q[3];
rz(1.5710867017296097) q[3];
rx(1.4051744202532515) q[4];
rz(1.327658... | 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": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IZIIIZII",
"IZIIIII... | [
0.05,
0.15000000000000002,
0.13333333333333333,
0.1,
0.05,
0.15000000000000002,
0.13333333333333333,
0.13333333333333333,
0.1,
0.1,
0.13333333333333333,
0.16666666666666666,
0.18333333333333335,
0.05,
0.21666666666666667,
0.1,
0.08333333333333333,
0.23333333333333334,
0.1,
0.05... | 0.971089 | [
1.841236941922257,
-0.01574674875908816,
0.16845353544407782,
-0.024550571437407784,
1.7717639242492174,
-0.3991701830227972,
1.1571066255132134,
0.00029037493471313625,
1.4051744202532515,
-0.24313769848856215,
0.17462845700279217,
0.056856428777628074,
1.3226532111278149,
0.1739927931494... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -1.5500000000000003,
"target_ratio": 0.97,
"target_value": -1.5035000000000003
} | 83 |
533fcd480a5175680493f52fe07173d6 | 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": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [165, 37], "expectation_value": -13.999998064799607, "params": null, "bitstrings": ["01011010", "11011010"], "total_optimization_steps": 41, "probabilities": [2.0242065125026606e-07, 0.9999997139448797], "optimization_time": 46.4078414440155} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.24633714219781486) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.21817790403825055) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.21817790403825055) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) 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",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.75,
-1.25,
2.25,
-0.25,
-1,
-2.25,
-0.25,
0.5,
-1.5,
-1,
3,
0.5,
1
] | 0.970078 | [
0.24633714219781486,
0.21817790403825055,
0.199992130079758,
0.1953546771601644,
-0.14097260777717124,
-0.07642561716032488,
0.30474345781691703,
0.6989900081918277,
0.16619846372059824,
-0.778933966788156,
-0.9833885279660904,
1.522204508836878,
0.4784825986818201,
0.33645844578145834,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 312 |
17639781641b88f9ffa836608d3b637d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [113, 114], "expectation_value": -0.11532128059236642, "params": [[-0.0489], [0.061700000000000005]], "bitstrings": ["0001110", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008434472027624174, 0.008522274684306474], "optimization_time": 1.3186419010162354} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001101", "0001110"], "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(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"IZZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
0,
-0.5,
-0.5,
0
] | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
6e104488336dc4e2d5aa766674769faa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [113, 116], "expectation_value": -5.49988376277548, "params": null, "bitstrings": ["0001110", "0001011"], "total_optimization_steps": 31, "probabilities": [1.6414156695510915e-05, 0.9999151816609215], "optimization_time": 37.70706057548523} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0337459267836137) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.0337459267836137) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0337459267836137) q[1];
cx q[3], q[1];
rz(0.47776601393558416) q[1];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIIZZII",
"ZIIZIII",
"ZZIIIII",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
0,
-0.5,
-1.5,
-0.5
] | 0.980444 | [
0.0337459267836137,
-0.224746660988567,
0.7027276667913227,
-0.7866517681407637,
0.47776601393558293,
0.06859472673856071,
0.0848327084651184,
-1.0358302413519949,
0.588163984686401,
-0.6901458546352301,
-0.263494756161025,
-0.12191721180260982,
-0.5076337228166482,
0.29806378356771174,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 23 |
d73d59d8534bb2db64056b6b376ab049 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.4150406951968969, "params": [[-0.0403, -0.0714], [0.034300000000000004, 0.07010000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0058393020321861385, 0.005994852640303846], "optimization_time": 3.55676007270813} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.005064912194396915) q[0];
h q[1];
h q[2];
ry(0.9589973018286959) q[2];
h q[3];
ry(0.7378068905099483) q[3];
h q[4];
ry(0.7863653826074786) q[4];
cx q[1], q[4];
ry(-0.7863653826074786) q[4];
cx q[1], q[4];
ry(0.615145956876229) q[1];
cx q[4], q[1];
ry(-0.615... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIZZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-1,
-0.25,
-0.5,
1,
-0.5,
-0.25,
-0.25,
0,
0.25,
0.5,
0,
-0.25,
0
] | 0.964081 | [
1.5727307652149571,
1.230291913752458,
1.37517991160965,
0.01012982438879383,
1.1582819451599344,
1.4756137810198966,
1.9179946036573918,
0.08411732952884575,
-1.5908435587309175,
0.32570684555070145,
-1.2157163442926513,
0.9603941445078414,
-0.34705473550456495,
-0.11276548911115365,
1.... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
-6808602700793762170 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 4, 5, 7, 11], [1, 10, 3], [9, 7], [1, 11], [8, 1, 3], [0, 4, 7, 8, 12], [2, 4], [4, 6], [9, 6], [10, 11, 7], [1, 12, 4, 9], [10, 4, 5], [4, 7, 8, 10, 12], [3, 5, 8, 10, 11, 12], [0, 9, 10, 4]]} | {"states": [927, 799], "expectation_value": -3.8372861357910644, "params": [0.6726000000000001, 0.6703, 0.4681, 0.46290000000000003, 0.0857, 0.0925, 1.4979, 1.4915, 1.4996, 1.4923000000000002, 0.7389, 0.7256, 0.0881, 0.09290000000000001, 0.4672, 0.4671, 1.4869, 1.4877, 1.4959, 1.4925000000000002, 1.4881, 1.4941, 1.0698... | 0.05 * (Z(3) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(3)) + 0.15000000000000002 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(11) @ Z(4)) + 0.08333333333333334 * (Z(11) @ Z(3)) + 0.08333333333333334 * (Z(11) @ Z(5)) + 0.21666666666666667 * (Z(11) @ Z(7)... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.1000000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.8500000000000005, "smallest_bitstrings": ["1110011100000"], "largest_eigenvalue": 12.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.455855921128695) q[0];
rz(0.41006139186773105) q[0];
ry(0.19585914657237571) q[1];
ry(-0.11236345889186528) q[2];
ry(1.7827108756698609) q[3];
ry(1.9693005657368625) q[4];
ry(0.2510044599768401) q[5];
ry(-0.1044539166574734) q[6];
ry(0.09531302550591257) 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": []} | [
"IIIIIIIIZZIII",
"IIIIIIIZZIIII",
"IIIIIIIZIZIII",
"IIIIIZIIZIIII",
"IIIIIZIIIZIII",
"IIIIIZIZIIIII",
"IZIIIIIIZIIII",
"IZIIIIIIIZIII",
"IZIIIIIZIIIII",
"IZIIIZIIIIIII",
"IIIIIIIIZIIZI",
"IIIIIIIIIZIZI",
"IZIIIIIIIIIZI",
"IIZIIIIIZIIII",
"IIZIIIIIIZIII",
"IIZIIIIZIIIII",
"IIZIIZIIIII... | [
0.05,
0.21666666666666667,
0.08333333333333334,
0.15000000000000002,
0.05,
0.05,
0.05,
0.08333333333333334,
0.08333333333333334,
0.21666666666666667,
0.08333333333333333,
0.3333333333333333,
0.5,
0.3,
0.19999999999999998,
0.19999999999999998,
0.21666666666666667,
0.1999999999999999... | 0.975731 | [
0.455855921128695,
0.19585914657237571,
-0.11236345889186528,
1.7827108756698609,
1.9693005657368625,
0.2510044599768401,
-0.1044539166574734,
0.09531302550591257,
1.4913782982467272,
1.3734252923372565,
1.5621657647866987,
1.7542304229664154,
1.1641766452548248,
0.8201227837354621,
0.15... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -5.1000000000000005,
"target_ratio": 0.97,
"target_value": -4.947
} | 20 |
d718199120caa09970ec0112edaecdf9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -26.625415502267987, "params": [0.0592, 0.2495, 0.0233, 0.2765, 0.024900000000000002, 0.2828, 0.047, 0.2866, 0.054200000000000005, 0.2912, 0.49610000000000004, 0.1736, 0.4863, 0.1553, 0.0572, 0.2555, 0.028300000000000002, 0.2792, 0.026000000000000002, 0.28500000000000003, 0.0506,... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 3 | 7 | 4 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04015044538224883) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04015044538224883) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.04015044538224883) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04015044538224883) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
-10.25,
-10,
-10.25,
-10,
-10,
-9.25,
-9.25
] | 0.978301 | [
-0.04015044538224883,
-0.15324628777449456,
-1.689169402787427,
-1.6217749557604155,
1.3668630378637412,
-1.508421696431749
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 23 |
ee183be25ff5cf792caaa72edcb0a0c1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 255], "expectation_value": -10.050086991863616, "params": [-0.28700000000000003, 0.0984, -0.11860000000000001, 1.5396, -0.8207, 1.4481000000000002, 0.11120000000000001, 0.8332, -0.8127000000000001, 1.3929, 0.31270000000000003, 0.3083, -0.8177000000000001, 1.4086, -0.0317, 2.2, -0.8788, 0.7168, -0.0744000... | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 6 | 9 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(3.1415925087799224) q[0];
ry(0.6538582259083622) q[0];
rz(-1.5707961443556386) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.7743671005567656) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.7743671005567656) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-1.1512164882019844)... | 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.525584 | [
-0.7743671005567656,
-1.1512164882019844,
-0.1567633779364694,
-1.5707962158256041,
-0.9169381008865425
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 154 |
754aee28c7d672c0aed674af64a71d63 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [14, 11], "expectation_value": -4.996463978766483, "params": null, "bitstrings": ["1110001", "1110100"], "total_optimization_steps": 29, "probabilities": [0.06634843263616869, 0.9303661238193276], "optimization_time": 27.162119150161743} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.5 * Z(1) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110001", "1110100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05334619033496422) q[0];
h q[1];
ry(-1.6045065027163399) q[1];
rz(-pi) q[2];
ry(-0.05334619033496422) q[2];
h q[3];
ry(1.568838513784343) q[3];
h q[4];
ry(-0.4823357753770646) q[4];
h q[5];
ry(1.568838513784343) q[5];
h q[6];
cx q[6], q[4];
ry(0.4823... | 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", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"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,
-0.5,
-1,
-1.5,
-1.5,
-1
] | 0.996116 | [
-1.6045065027163399,
-1.7151572368793928,
1.568838513784343,
-0.9646715507541292,
0.6741194924411833,
-0.5142397587788864,
0.6111561470296336,
-0.36973495512911037,
0.17034823600141152,
-0.1553217717515024,
0.2006837517100958,
0.10900906731762479,
0.18202943949906428,
0.10300987810666151
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
867451604821958348 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3, 4], [0, 2, 4], [1, 2, 3, 4], [0, 1, 2, 3]]} | {"states": [7, 22], "expectation_value": -0.6165819878514237, "params": [[0.4234], [-0.42210000000000003]], "bitstrings": ["11000", "01001"], "total_optimization_steps": 50, "probabilities": [0.060650569392663015, 0.06065056939266302], "optimization_time": 1.2180964946746826} | 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.083333333333333, "smallest_bitstrings": ["01001"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.025684414354232077) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.025684414354232077) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[2];
rz(0.14185598289423032) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(0.14185598289... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], ... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZZII",
"IIZIZ",
"ZIZII",
"IZIZI",
"IIIZZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIZII",
"IIIZI"
] | [
0.25,
0.25,
0.3333333333333333,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.4583333333333333,
0.4583333333333333,
0.41666666666666663,
0.25
] | 0.829936 | [
-0.025684414354232077,
1.6178081319658513,
0.14185598289423032,
-0.05438466276319353,
1.4793289767664928,
-0.005154044399492368,
-1.0047375956029554
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -1.0833333333333335,
"target_ratio": 0.97,
"target_value": -1.0508333333333335
} | 171 |
5930497901525850647 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [2, 4], [1, 4], [2, 3]]} | {"states": [3, 28], "expectation_value": -1.6933088001002854, "params": null, "bitstrings": ["11100", "00011"], "total_optimization_steps": 29, "probabilities": [0.04608359072621474, 0.7807660464423408], "optimization_time": 19.165307760238647} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11100", "00011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.6828403762763837) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.058180628891419214) q[3];
h q[4];
ry(-0.058180628891419214) q[4];
cx q[2], q[4];
ry(0.058180628891419214) q[4];
cx q[2], q[4];
cx q[2], q[3];
ry(-0.11236016801799761) q[4];
cx q[1], q[4];
ry(0.1123601680... | 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[2], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIIIZ",
"ZIZII",
"ZIIZI",
"IZZII",
"ZIIII",
"IIIIZ",
"IIZII",
"IIIZI",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.972664 | [
-0.11636125778283843,
1.4344243239513352,
-0.22472033603599523,
1.6194599447145896,
1.3656807525527674,
-0.9049588710937454,
0.2210438517907904,
-1.032134467647991,
-0.13906951602087106,
-0.08080953817547423,
0.27286820661468725,
-0.35063856944057503,
0.4144698690495771,
-0.465870358822942... | {
"n_parameters": 23,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 21 |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 12], "expectation_value": -2.474107462142595, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 13, "probabilities": [0.0739790737679243, 0.9005751343260909], "optimization_time": 7.875502824783325} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | 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];\nry(-1.5681) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
726a5ae01318539d56f80c3be6bbd791 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1374, 1502], "expectation_value": -1.586590328036681, "params": [1.3058, -0.17270000000000002, 0.5998, -0.39590000000000003, 1.2013, -0.3769, 0.9151, -0.2908, 1.2985, -0.2665, 0.14150000000000001, -0.5890000000000001, 1.3078, -0.0029000000000000002, 1.1769, -0.3799, 0.9289000000000001, -0.32880000000000004,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 18 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010101000", "00011000010", "01000100001", "01000010010", "00100100100", "10000000110"], "largest_eigenvalue": 5.375} | 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
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 |
71e5bb03712e194188f8d50f4c05cdf8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [8, 24], "expectation_value": -2.566448356370957, "params": [0.0028, 0.0002, 0.1967, 0.1983, 0.1983, 0.20270000000000002, 0.11420000000000001, 0.11710000000000001, 0.0051, 0.0019, 0.00030000000000000003, 0.0005, 0.0033, 0.0002, 0.19690000000000002, 0.19770000000000001, 0.2059, 0.20020000000000002, 0.11620000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(3) + -0.25 * Z(2) + -0.75 * Z(4) + -0.75 * Z(5) | 13 | 6 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["100111"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.02416004962987343) q[0];
rz(0.6464253471396171) q[0];
ry(0.10916841186711712) q[1];
rz(-0.09003719706251745) q[1];
cz q[1], q[0];
ry(0.05188818090336937) q[0];
rz(0.3737247607235006) q[0];
ry(0.8200282107581987) q[1];
ry(1.0435735918085753) q[2];
rz(0.102623408307... | 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",
"IIZZII",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIZIZI",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-1,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75
] | 0.974585 | [
-0.02416004962987343,
0.6464253471396171,
0.10916841186711712,
-0.09003719706251745,
1.0435735918085753,
0.10262340830715515,
0.008916786375439203,
0.3403912361093418,
-0.14003445094820235,
0.6799870032696831,
0.15759830125959468,
-0.008518809284857834,
0.4100141053790994,
0.02910355617106... | {
"n_parameters": 46,
"n_qubits": 6,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 10 |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -1.0503030216645448, "params": [[-0.0482, -0.057600000000000005, -0.0459, -0.055600000000000004], [0.056400000000000006, 0.0709, 0.062, 0.0654]], "bitstrings": ["001011", "001110"], "total_optimization_steps": 10, "probabilities": [0.02749962110627453, 0.0300581389919121], "opt... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
b9167b0dbead0ec78749403f79eff77a | 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": [143, 214], "expectation_value": -8.931660395445181, "params": [[0.0089, 0.0033, -0.079, 0.0048000000000000004, -0.0026000000000000003, -0.004, 0.0083, 0.0061, -0.0012000000000000001, 0.0038], [0.002, 0.0081, 0.9978, 0.9981000000000001, -0.0027, 0.001, 0.0088, -0.0035, 0.005, 0.9962000000000001], [0.0035, 0.... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) + 8.5 * Z(1) + 16.0 * Z(3) + -6.0 * Z(4) + 10.0 * Z(5) + -4.0 * Z(6) + 8.0 * Z(9) + 9.5 ... | 9 | 10 | 4 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["1100101001"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14750987136152066) q[0];
rz(-1.3783620091742987) q[0];
rx(-0.21206827412479984) q[1];
rz(-0.040613477559973826) q[1];
rx(1.5225703200677023) q[2];
rz(0.08940348574874511) q[2];
rx(1.5830541305989927) q[3];
rz(0.023494722062244344) q[3];
rx(-0.036634246843366046) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIZZIIIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
14.5,
8.5,
16,
-6,
10,
-4,
8,
9.5,
10,
-12
] | 0.975947 | [
0.14750987136152066,
-1.0467283585956968,
-0.21206827412479984,
-0.040613477559973826,
1.5225703200677023,
0.08940348574874511,
1.5830541305989927,
0.023494722062244344,
-0.036634246843366046,
-0.5522059089576075,
1.3886649049839992,
0.049042667317427374,
0.15400311939923697,
0.71915751654... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 20 |
cf9a1540b011355d554ff1ed574e9153 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [29, 85], "expectation_value": -0.11871652465049913, "params": [[-0.0533], [0.0649]], "bitstrings": ["1100010", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008525380361876651, 0.008624235884600146], "optimization_time": 1.3510737419128418} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100010", "0101010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-0.5,
0,
0
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
aff16494716409c93ae0c6b924acb428 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -12.718696098084388, "params": [0.0044, 0.1825, 0.0038, 0.4489, 0.0038, 0.456, 0.0031000000000000003, 0.45690000000000003, 0.0008, 0.4232, 0.0031000000000000003, 0.4292, 0.6015, 0.0098, 0.0016, -0.0151, 0.0009000000000000001, 0.4394, 0.00030000000000000003, 0.4562, 0.0014, 0.4528... | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 3 | 7 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
91fd701868951eab612ba86420778b2e | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [11, 14], "expectation_value": -0.23444278199169596, "params": [[0.0781], [-0.0714]], "bitstrings": ["110100", "110001"], "total_optimization_steps": 10, "probabilities": [0.017397541964137613, 0.017397541964137616], "optimization_time": 1.116903305053711} | 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) | 1 | 6 | 1 | {"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] 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[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3]... | 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 |
13d2fdfa7c21e9b2e01994ccc485d623 | 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": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 7}, {"source": 2, "target": 8}, {"sour... | {"states": [296, 360], "expectation_value": -2.6659619364457083, "params": [[[0.9062, 0.0029000000000000002], [0.6742, -0.1004], [0.8516, 0.0029000000000000002], [0.8580000000000001, 0.0031000000000000003], [-0.0035, -0.4617], [0.8918, -0.0015], [0.7164, -0.0557], [0.0017000000000000001, -0.43510000000000004], [0.7075,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(4) + 0.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(7) + -0.5 * Z(2) + -1.0 * Z(8) + -0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -3.5, "smallest_bitstrings": ["011010110", "001111010", "010110011", "011010101", "001011110", "011110010", "011110001", "000011111", "100001111", "010010111", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.3089988943118618) q[0];
ry(3.056996061297785) q[0];
rz(2.569445913914689) q[0];
rz(-1.5737563682594844) q[1];
ry(0.07431581278962475) q[1];
rz(2.079595150211629) q[1];
rz(1.1218350747581773) q[2];
ry(2.962960643853286) q[2];
rz(-2.1158737177909352) q[2];
rz(1.1528... | 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",
"IIIZZIIII",
"IIIZIIIZI",
"IZIIIIIZI",
"IZIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIIIIZII",
"IIZIZIIII",
"IIZIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
0
] | 0.970048 | [
1.55829989526462,
-0.08063987324720821,
-0.46608687751871214,
0.0005755894288601501,
1.703426205733962,
1.617604564454513,
-0.21136914841411775,
0.1184890093369346,
-0.4832396034456029,
1.7725526729301662,
-0.2259901018605586,
-0.15550765618225665,
0.3786612789331829,
0.07335000775252917,
... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 20 |
6cffe11a862f6465de426e477843dd3a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [50, 19], "expectation_value": -3.98906553094111, "params": null, "bitstrings": ["1001101", "1101100"], "total_optimization_steps": 31, "probabilities": [0.06023620223413998, 0.8645374077202787], "optimization_time": 24.999516010284424} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -0.5 * Z(3) | 1 | 7 | 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": ["1001101", "1000111", "0110110", "1100110", "1101100"], "largest_eigenvalue": 10.0} | 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];
h q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.47617239049210797) q[0];
h q[0];
rx(-1.0298166976998127e-06) q[1];
h q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1.5,
-1,
0,
-0.5
] | 0.071429 | [
-0.47617239049210797,
-0.0000010298166976998127,
-0.2586279734373631,
1.0728386367444025,
-0.9107582638195201,
-0.030747009456142955,
-0.5126048496934387,
-1.8499753688461737e-7,
-0.17268737191273778,
-0.006768059677663052,
0.6467958319550144,
-1.5707949761418876,
0.45952933031194904,
-0.1... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 468 |
-3023800187148767574 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [0, 3], [4, 5, 6], [1, 2, 3, 4, 7], [6, 7], [5, 7], [0, 1, 2]]} | {"states": [230, 118], "expectation_value": -2.4928972121166297, "params": null, "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 54, "probabilities": [0.05372407255202609, 0.8387456316482811], "optimization_time": 75.92095136642456} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666667, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03974710230479921) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.17096844503907807) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(-0.054240306107387226) q[3];
cx q[1], q[3];
cx q[1], q[4];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3804) 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[... | [
"IIIIIIZZ",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IZZIIIII",
"IIZZIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIZII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.05,
0.5,
0.05,
0.16666666666666666,
0.05,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.05,
0.05,
0.05,
0.5,
0.05,
0.05,
0.5,
0.05,
0.43333333333333346,
0.333333333333333... | 0.586407 | [
-0.03974710230479921,
0.17096844503907807,
-0.054240306107387226,
-1.2301131242420602,
0.09594085403746722,
-1.7369031296128143,
0.005000473682931951,
-1.8187325848954063,
0.8667632498601026
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -2.6999999999999997,
"target_ratio": 0.97,
"target_value": -2.6189999999999998
} | 250 |
55e47338bba624266c8b8b1563bf0dbf | 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": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 6}, {"weight":... | {"states": [980, 468], "expectation_value": -84.1748164418651, "params": [0.7187, -0.31270000000000003, 0.7169, 0.0018000000000000002, 1.3016, -0.059500000000000004, 1.3050000000000002, 0.0001, 1.3064, -0.0969, 1.2995, 0.0005, 1.3046, -0.0726, 1.2996, 0.0045000000000000005, 0.6920000000000001, -0.3179, 0.6916, 0.0053, ... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(9) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 186.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.415302044782726) q[0];
rz(1.1657900400473746) q[0];
rx(0.7177420802839939) q[1];
rz(1.4685546724748582) q[1];
rx(0.5130561226363791) q[2];
rz(1.6762505375391878) q[2];
rx(0.8848865723513896) q[3];
rz(1.5456263331577533) q[3];
rx(0.06361022960991862) q[4];
rz(2.276... | 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\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII"... | [
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,
5.5,
5.5,
25,
7,
13,
11,
4.5,
25,
6,
19.5,
-4,
-3
] | 0.973151 | [
1.415302044782726,
-0.4050062867475215,
0.717742080283994,
-0.1022416543200387,
0.5130561226363792,
0.10545421074429129,
0.8848865723513896,
-0.02516999363714344,
0.06361022960991863,
0.7058170123223206,
1.0026760785736075,
-0.13993836538793006,
0.052331285877490856,
-0.6431183863744506,
... | {
"n_parameters": 99,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 135 |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [33, 1], "expectation_value": -3.4956972072511676, "params": [[-0.06330000000000001, -0.059800000000000006, -0.0623, -0.049100000000000005], [0.0664, 0.0645, 0.0663, 0.061500000000000006]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.031041493750526197, 0.0368422... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1011110", "1111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4347318003186254) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.16558273416228064) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.026421426916743207) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.43592444188839763) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.25,
2.5,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
0.25,
-1.5,
2.25,
1.5,
-1.25
] | 0.970144 | [
-0.4347318003186254,
-0.16558273416228064,
0.026421426916743207,
-0.5217462601275333,
0.4586231555137733,
-0.43592444188839763,
-0.33453436399480646,
-0.03001001646313847,
-0.1127609036020698,
0.2503598948291178,
-1.103129003830037,
-0.7059981088306357,
-0.21330762283364263,
0.040023523320... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 182 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -0.1366695517003288, "params": [[-0.0257, -0.028900000000000002, -0.0339, -0.061000000000000006], [0.0235, 0.0246, 0.030600000000000002, 0.053700000000000005]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.13387417432001725, 0.1511735883747800... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | 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": 1} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.