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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a1c773c0b570f64d3c3d3a505084c546 | 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": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -11.999999956492717, "params": null, "bitstrings": ["1011111", "1011110"], "total_optimization_steps": 27, "probabilities": [8.327888960773482e-09, 0.9999999914851723], "optimization_time": 20.550559043884277} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
78df5020371fd34d72b5173f19cc0fb1 | 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": 7, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target":... | {"states": [1023, 1015], "expectation_value": -33.33291031049576, "params": [[[-0.0108, -0.0028], [-0.0041, -0.001], [-0.0073, -0.0023], [-0.007500000000000001, 0.0018000000000000002], [0.0011, -0.0024000000000000002], [-0.0025, -0.0026000000000000003], [0.0028, -0.0027], [0.7961, -0.0061], [-0.0053, -0.0022], [-0.0024... | -1.75 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(1) @ Z(8)) + -1.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -0.5 * (Z(4) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["10000001000"], "largest_eigenvalue": 41.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.044376602231709736) q[0];
ry(0.07510808618607326) q[1];
ry(0.11975134431565136) q[2];
ry(0.09626216033946058) q[3];
ry(-0.09195359817166984) q[4];
ry(0.09884841447201247) q[5];
ry(0.04793822617824074) q[6];
ry(1.4598779056746123) q[7];
ry(-0.046467281005655114) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IIIZIZIIIII",
"IIIZIIIIIIZ",
"IIZIIZIIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIIZZIIII",
"IIZIIIZIIII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IZIIIZIIIII",
"IZIIZIIIIII",
"IZIIIIIII... | [
-1.75,
-1.75,
-0.75,
-1.5,
-1.5,
-1.25,
-0.25,
-0.5,
-0.25,
-1.75,
-1.75,
-0.5,
-1,
-0.5,
-1.25,
-1.25,
-1.75,
-0.25,
-1.25,
-0.25,
-1.25,
-1,
-0.5,
-1,
-2.5,
-1,
-0.75,
4.5,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
1,
-0.25,
-1.75,
-4.25,
5,
3.75,
... | 0.970339 | [
-0.044376602231709736,
0.07510808618607326,
0.11975134431565136,
0.09626216033946058,
-0.09195359817166984,
0.09884841447201247,
0.04793822617824074,
1.4598779056746123,
-0.046467281005655114,
0.07378539740320367,
2.794338579855965,
-0.23607031558949912,
-0.05449623565373681,
0.02301426077... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 16 |
7371010807312947920 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 6], [2, 3], [0, 5], [1, 4, 5], [0, 1, 4, 6], [3, 4, 5, 6]]} | {"states": [51, 23], "expectation_value": -0.523238074422046, "params": [[0.269], [-0.2675]], "bitstrings": ["1001100", "1101000"], "total_optimization_steps": 30, "probabilities": [0.01670349810337897, 0.01674947646256636], "optimization_time": 2.091857433319092} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["1101000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.063366046153012) 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(0.063366046153012) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[3];
rz(1.5219275947211173) q[3];
cx q[2], q[3];
rz(0.06336604615301189) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIZZII",
"ZIIZIII",
"IZIIIIZ",
"ZZIIIII",
"IZIZIII",
"IIIIIZZ",
"ZIIIIZI",
"IZIIIZI",
"IIZIIIZ",
"ZIZIIII",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.16666666666666663,
0.... | 0.738574 | [
0.063366046153012,
0.17638480591535988,
1.5219275947211173,
-0.05871367487151922,
0.030558875322946745,
1.4118113025788246,
-0.0755371454049692,
-0.8777140855298197
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 191 |
-8986635722940970676 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 4, 6, 7], [8, 0, 2, 6], [1, 2, 3], [0, 3, 4, 7], [8, 1, 7], [1, 4, 5], [8, 4, 6], [0, 2, 3, 5], [8, 1, 2], [0, 5, 6], [4, 5, 7], [2, 7], [8, 0, 3, 6], [3, 5, 6], [2, 4]]} | {"states": [500, 438], "expectation_value": -3.7570078376382234, "params": null, "bitstrings": ["000001011", "001001001"], "total_optimization_steps": 57, "probabilities": [0.059211995252029706, 0.8714624139879373], "optimization_time": 140.98552703857422} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.583333333333333, "smallest_bitstrings": ["001001001"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.3554337872543065) q[0];
h q[1];
ry(1.431417346597568) q[1];
h q[2];
ry(-0.3193562606197305) q[2];
h q[3];
ry(0.5908809614428133) q[3];
h q[4];
h q[5];
ry(-0.518990343132147) q[5];
h q[6];
ry(1.697273205774948) q[6];
cx q[6], q[3];
ry(-0.5908809614428133) 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];\nry(1.5626) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIIIZIZ",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIZIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIIZZI",
"IIIIZZIII",
"IIIIIZIIZ",
"... | [
0.16666666666666666,
0.25,
0.41666666666666663,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.5,
0.25,
0.16666666666666666,
0.1666666666... | 0.972687 | [
1.697273205774948,
1.431417346597568,
1.3554337872543065,
-0.638712521239461,
0.86476438371085,
-0.5645652649759932,
0.978223439348262,
-1.037980686264294,
1.1817619228856266,
-0.5503332042213727,
0.4720006117729715,
-0.24241848254831552,
-1.1296360054475525,
0.41487690122180526,
0.55430... | {
"n_parameters": 37,
"n_qubits": 9,
"optimal_eigenvalue": -3.916666666666667,
"target_ratio": 0.97,
"target_value": -3.799166666666667
} | 7 |
2d02f35370a8769eaaa03bbd3e88b224 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [108, 75], "expectation_value": -0.15068806901046075, "params": [[0.0606], [-0.0623]], "bitstrings": ["0010011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.008593783496743473, 0.008700593339824897], "optimization_time": 1.2788453102111816} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0010011", "0010110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.028724036569921858) q[0];
cx q[2], q[0];
rz(1.2326671886736946) q[0];
rx(-1.6076612753279809) q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.028724036569921858) q[5];
cx q[2], q[5];
cx q[2], q[3];
rz(0.028724036569921858) 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"IIIZZII",
"IIZIZII",
"IZZIIII",
"ZIIIZII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
0,
0,
-1,
-0.5
] | 0.971132 | [
0.028724036569921858,
-1.5782905238710299,
1.2326671886736946,
-1.3850374293024992,
-4.44702294793995,
-1.6076612753279809
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 31 |
246a0a9432d2ab98c79e89b997f68978 | 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": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 11}, {"capacity": 4, "source":... | {"states": [2047, 1983], "expectation_value": -19.02078804055791, "params": [[[-1.4182000000000001, -0.0017000000000000001], [-0.0022, -0.0004], [-0.0015, -0.0028], [0.0029000000000000002, 0.003], [0.0066, 0.0028], [0.7988000000000001, -0.001], [0.0235, -0.00030000000000000003], [-0.0036000000000000003, 0.0014], [-0.00... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(11) @ Z(3)) + -1.0 * (Z(1) @ Z(11)) + -0.25 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(11)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(11)) + -1.25 * (Z(7) @ Z(8)) + -0.5 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-20.0, -20.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.0, "smallest_bitstrings": ["100001000000", "100001100000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-1.6306980038312227) q[0];
ry(0.0029707983792498505) q[1];
ry(-0.04811091757199899) q[2];
ry(-0.022515875893687993) q[3];
ry(-0.16989326758758388) q[4];
ry(1.436788623777318) q[5];
ry(-0.014064884694100895) q[6];
ry(-0.10884933405089237) q[7];
ry(0.0264405239582171)... | OPENQASM 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": []} | [
"IIIIIIZIIIIZ",
"IIIIIIIIZIIZ",
"ZIIIIIIIZIII",
"ZIIIIIIIIIZI",
"IIIIIIZIIZII",
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIZIIIIZIII",
"ZIIZIIIIIIII",
"IIIZIIIZIIII",
"IIIIZIIIZIII",
"ZIIIZIIIIIII",
"IIIZZIIIIIII",
"IIZIIIZIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIZII",
"IIZZIIIIIIII",
"IIZIZIIII... | [
-0.75,
1,
-0.75,
-1,
-0.25,
-1,
-0.5,
-0.25,
-1.25,
-0.25,
-1,
-0.75,
-1.25,
-0.5,
-0.5,
-0.25,
-1.5,
-2,
-0.75,
-0.25,
-1,
-0.25,
-1,
-1,
-1,
-0.25,
-1.5,
0.75,
0.5,
1.25,
-0.25,
-0.75,
0,
1,
2.25,
-2
] | 0.971089 | [
-1.6306980038312227,
0.0029707983792498505,
-0.04811091757199899,
-0.022515875893687993,
-0.16989326758758388,
1.436788623777318,
-0.014064884694100895,
-0.10884933405089237,
0.0264405239582171,
0.01729536675631916,
0.06287837258921417,
0.04609674428559617,
0.012726758034503176,
-0.0799186... | {
"n_parameters": 65,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 62 |
4b66a923c43218e2cebc5684a05c1c35 | 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": [366, 364], "expectation_value": -77.99731225396097, "params": [[[0.6807000000000001, 0.11710000000000001], [0.6996, 0.3416], [0.28240000000000004, 0.2939], [0.5182, 0.4711], [0.626, 0.4565], [0.0818, 0.40490000000000004], [0.37310000000000004, 0.6074], [0.3231, 0.5521], [0.054, 0.5006], [0.0935, 0.077800000... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(1) @ Z(4)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(9) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-108.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["1010010011"], "largest_eigenvalue": 222.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.06755709297439899) q[0];
ry(0.7091524702434655) q[1];
ry(0.09138993433196313) q[2];
ry(0.2772605887309477) q[3];
ry(0.8112500313996175) q[4];
ry(0.11356580157134921) q[5];
ry(1.284081277233396) q[6];
ry(0.07060686508002925) q[7];
ry(0.10853470010895844) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIZIZIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
24,
10,
26,
20,
12,
9.5,
15.5,
11,
-3.5,
-8
] | 0.970418 | [
0.06755709297439899,
0.7091524702434655,
0.09138993433196313,
0.2772605887309477,
0.8112500313996175,
0.11356580157134921,
1.284081277233396,
0.07060686508002925,
0.10853470010895844,
0.06029810115996784,
-0.19241301062828406,
0.09636377211979096,
0.15167104450452784,
0.05919630762153667,
... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -108.5,
"target_ratio": 0.97,
"target_value": -105.24499999999999
} | 73 |
aafba232bddbab68741369c28fd60f9f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [1, 11], "expectation_value": -2.3374387463109283, "params": [[0.0591, 0.095], [-0.0328, -0.10740000000000001]], "bitstrings": ["111110", "110100"], "total_optimization_steps": 20, "probabilities": [0.025679448933293856, 0.027905993952301172], "optimization_time": 3.9490413665771484} | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 25.25} | 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[0];
rz(-0.6059711361663426) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.002835582251174708) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.6059711361663426) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.01656... | OPENQASM 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": 3} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZZIIII",
"ZIIIIZ",
"IZIIZI",
"IIIIZZ",
"ZIIIZI",
"IZIZII",
"IIIZIZ",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
2,
1,
0.5,
0.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
2.5,
0.5,
5,
0.5,
-1,
-2
] | 0.927765 | [
-0.6059711361663426,
0.002835582251174708,
-0.005892897267408092,
1.9673946829852578,
-0.016569426499993246,
0.0007364663076169241,
-1.7704792450087574,
-1.8455644619428733,
0.2451053747201248,
-1.3001258169311252,
-1.066059710326319,
0.0004593878512842986,
-0.01598779461431634,
1.89697250... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 500 |
-8720984260399344582 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 7], [0, 9, 7], [0, 4, 6, 8, 10], [0, 9, 3], [9, 4, 6], [0, 3, 4, 5], [1, 2, 4, 8, 9, 10], [3, 7], [8, 1, 5, 6], [1, 5, 7], [0, 1], [1, 4, 7, 8, 9], [0, 6, 7, 8, 10], [8, 3, 4, 6], [1, 5, 6, 9, 10], [0, 2, 3, 5, 6, 8]]} | {"states": [1134, 1135], "expectation_value": -2.925148830358934, "params": [[[2.9939, 0.0041], [0.9470000000000001, 0.0039000000000000003], [0.6979000000000001, 0.0017000000000000001], [0.9801000000000001, 0.0059], [2.9842, 0.0071], [2.9912, 0.0019], [1.4841, 0.0082], [2.2405, 0.0085], [2.9984, 0.0009000000000000001],... | 0.5 * (Z(2) @ Z(7)) + 0.21666666666666667 * (Z(0) @ Z(7)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.21666666666666667 * (Z(9) @ Z(7)) + 0.03333333333333333 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.05 * (Z(4) @ Z(7)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.183333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.05, "smallest_bitstrings": ["01110010000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.068577712599336) q[0];
rz(-0.3515408499133365) q[0];
rx(0.012684177197254426) q[1];
rz(0.16986796375587238) q[1];
rx(0.03489052443298948) q[2];
rz(-0.23355746968329222) q[2];
rx(-0.09431025667346064) q[3];
rz(-0.5053150406770401) q[3];
rx(3.041709596621463) 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": []} | [
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIIIIIIZIZ",
"IZIZIIIIIII",
"IZIIIIIIZII",
"IZIIIIIIIIZ",
"IIIZIIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IZIIIIZIIII",
"IIIZZIIIIII",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IZIIZIIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIZIIIIIIIZ",
"IZZIIIIII... | [
0.5,
0.21666666666666667,
0.03333333333333333,
0.21666666666666667,
0.03333333333333333,
0.3333333333333333,
0.05,
0.03333333333333333,
0.13333333333333333,
0.25,
0.05,
0.03333333333333333,
0.13333333333333333,
0.21666666666666667,
0.3,
0.1,
0.06666666666666667,
0.13333333333333333... | 0.988816 | [
3.068577712599336,
-0.3515408499133365,
0.012684177197254426,
0.16986796375587238,
0.03489052443298948,
-0.23355746968329222,
-0.09431025667346064,
-0.5053150406770401,
3.041709596621463,
0.17061689409211683,
3.0992486577890324,
-0.05206285506699951,
0.2254454996655182,
0.22242046125184653... | {
"n_parameters": 21,
"n_qubits": 11,
"optimal_eigenvalue": -4.183333333333334,
"target_ratio": 0.97,
"target_value": -4.057833333333334
} | 24 |
6c4c8df370f6ecf478f9950d001f8aa2 | 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": [430, 428], "expectation_value": -95.75621993316358, "params": [0.3764, 0.3054, 0.9917, 0.0019, 1.0, -0.0011, -0.0019, -0.5774, 1.0014, 0.0015, -0.0046, 0.5779000000000001, 0.9971000000000001, 0.0009000000000000001, 0.9942000000000001, 0.1542, 0.5012, 0.27840000000000004, -0.0135, -0.47000000000000003, 0.376... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(9) @ Z(2)) + 12.5 * Z(2) ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["1001010011"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.11158324166639057) q[0];
rz(0.43140702547671417) q[0];
rx(1.2530378332743333) q[1];
rz(-0.04055455497321883) q[1];
rx(0.9600313883276212) q[2];
rz(0.3248560750494861) q[2];
rx(-0.09671725815676027) q[3];
rz(-0.5972457934269297) q[3];
rx(1.2050370965440966) 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": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIZZIIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IIZIIIIIIZ",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
12.5,
23.5,
8,
21,
-4,
18,
-5,
13.5,
9.5,
-1.5
] | 0.972253 | [
0.11158324166639058,
0.3727873333652022,
1.2530378332743333,
-0.04055455497321883,
0.9600313883276212,
0.3248560750494861,
-0.09671725815676027,
-0.5972457934269297,
1.2050370965440966,
0.017747746461416226,
-0.05471764409543766,
0.5067544016524477,
0.9626450507763745,
0.010251710838258836... | {
"n_parameters": 86,
"n_qubits": 10,
"optimal_eigenvalue": -109.5,
"target_ratio": 0.97,
"target_value": -106.215
} | 9 |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [3, 11], "expectation_value": -9.204633213247385, "params": null, "bitstrings": ["111100", "110100"], "total_optimization_steps": 22, "probabilities": [0.21104498409550887, 0.21288599334318353], "optimization_time": 17.751108407974243} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110110", "110100"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.714438572684436) q[0];
h q[1];
ry(-1.428877145368872) q[1];
h q[2];
h q[3];
ry(-1.428877145368872) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.714438572684436) q[0];
cx q[5], q[0];
ry(-0.856357758661726) q[0];
cx q[4], q[0];
ry(4.239869943476942e-08) q[0];
c... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-1.25,
-1.25,
-1,
-0.75,
2.5,
-1,
-0.5,
-1,
-1.25,
-0.25,
-2.25,
0.75,
1.5,
1.5
] | 0.921629 | [
-1.428877145368872,
1.5707963072208557,
-0.8563577162630266,
-8.479739886953884e-8,
7.260494688738796e-8,
-2.058158962333484e-8,
-4.1931091589049415e-8,
-2.6274812220416775e-8
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 183 |
0541faf635a6399f550a5b5935bfa17a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [5, 33], "expectation_value": -3.9741067800335346, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 17, "probabilities": [0.07397901535986358, 0.9005745124138398], "optimization_time": 14.066696882247925} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
0963943ecfb82868686868de206d3c2c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -0.19046429902371903, "params": [[0.0786, 0.0731], [-0.0857, -0.0734]], "bitstrings": ["11010", "10010"], "total_optimization_steps": 10, "probabilities": [0.03764083471873957, 0.04150808355251517], "optimization_time": 1.4987046718597412} | -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 | 2 | {"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]... | OPENQASM 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"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 |
681317cce116b7c317d2d1166a0937e1 | 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": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 81], "expectation_value": -0.1079646972185035, "params": [[-0.0201, -0.038400000000000004], [0.0162, 0.0425]], "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 10, "probabilities": [0.008394757189623457, 0.008481153489259725], "optimization_time": 3.0717766284942627} | 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(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001111", "0101110", "1010101", "1010011"], "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];
cx q[3], q[0];
rz(-0.2653211005769242) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.2653211005769242) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.2653211005769242) q[5];
cx q[0], q[5];
rz(0.8526905993575316) q[0];
rx(0.88180115... | 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[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[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
0,
-1
] | 0.764122 | [
-0.2653211005769242,
0.8526905993575312,
1.319009349126271,
-2.5209900163082057,
0.8818011504971432,
1.18332886007987,
-2.851170190766367,
-2.4976708840306894,
-0.4815721680834389
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 330 |
0544aa413865c48491d65699e643b115 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [16, 272], "expectation_value": -16.90478375247573, "params": [-0.3481, -0.1869, 0.20770000000000002, -0.8277, -0.0034000000000000002, 0.8057000000000001, -0.004, 0.6701, 0.4494, 0.4204, 0.4928, 1.1001, -0.0025, 0.9088, -0.0058000000000000005, 0.9486, -0.015700000000000002, 0.6861, 0.0005, 0.7465, -0.0024000... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -1.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(9)) + 2.5 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(9)) + -0.75 * (Z(... | 6 | 11 | 2 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11011101111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.10240359585212226) q[0];
rz(1.3302177410417784) q[0];
rx(-0.2620852870181547) q[1];
rz(1.8873052422814744) q[1];
rx(0.9821980748600346) q[2];
rz(1.8483230141909894) q[2];
rx(0.0072547257662513775) q[3];
rz(1.7674552553228482) q[3];
rx(-0.09404379486150899) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IZIIIIIIIIZ",
"IZIIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIIIIIZZIII",
"ZIIIIIIZIII",
"IIIIIIIZZ... | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-1.5,
-0.5,
2.5,
-0.75,
-0.25,
-1,
-0.75,
-0.75,
-1,
-0.25,
-0.25,
-0.5,
-1,
-0.75,
-0.5,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1,
0.75,
-0.25,
0.75,
-0.75,
0.25,
-0.5,
-0.5,
1,
0.75,
-3,
1.5
] | 0.976164 | [
-0.10240359585212225,
-0.2405785857531187,
-0.2620852870181547,
0.31650891548657684,
0.9821980748600347,
0.2775266873960926,
0.007254725766251378,
0.19665892852795153,
-0.09404379486150899,
0.8099592629327698,
-0.22671494835720618,
0.689265189554137,
-0.12786572473648772,
-0.18503891203637... | {
"n_parameters": 103,
"n_qubits": 11,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 86 |
9c39e63103594dc6f11ed26b2dc64fda | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [82, 90], "expectation_value": -3.282804009219646, "params": [[[0.004, 0.4338, 0.0021000000000000003, 0.0076], [0.2644, 0.0125, 0.2656, 0.0092], [0.0007, 0.2616, 0.0068000000000000005, 0.2631], [0.0811, -0.0175, 0.08020000000000001, 0.0057], [0.46390000000000003, 0.009000000000000001, 0.0071, 0.0027], [0.002... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(1)) + -0.125 * (Z(0) @ Z(1) @ Z(5)) + -0.125 * (Z(... | 12 | 8 | 4 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["10100101"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.19452280961945576) q[0];
rz(0.30295863413507124) q[0];
ry(0.04818831094211186) q[1];
rz(-0.21023319069150714) q[1];
cz q[1], q[0];
ry(-0.058066252870596996) q[0];
rz(0.31641565335056476) q[0];
ry(0.6119038216673344) q[1];
ry(-0.09397040221615205) q[2];
rz(0.340998... | OPENQASM 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": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIIZIIZZ",
"IIZIIIZZ",
"IIZZIIIZ",
"IIZZIIZI",
"IIZZIIZZ",
"IIIZIZII",
"IZIIIZII",
"IZIZIIII",
"IZIZIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZII... | [
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,
-0.625,
0.125,
0,
0,
0.125,
-0.625,
0,
-0.75
] | 0.976182 | [
-0.19452280961945576,
0.30295863413507124,
0.04818831094211186,
-0.21023319069150714,
-0.09397040221615205,
0.3409981265812652,
0.3722276057109096,
0.026742357803094544,
1.0733264672344893,
0.05905263919131299,
0.042205978700035035,
0.36710250180865994,
0.7588792373994389,
0.03139439043716... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 19 |
abd5f0a6104ed7efe2f025f3da720904 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "targ... | {"states": [16350, 16382], "expectation_value": -16.342063189782376, "params": [1.5766, 1.5606, -0.0313, 0.012700000000000001, 1.0022, -0.9352, -1.5941, -1.5310000000000001, 0.01, -0.0055000000000000005, 0.1335, -0.093, -1.5889, -1.5470000000000002, 0.0022, 0.0025, 0.7206, 0.5438000000000001, -1.4922, -0.6503, -0.3437,... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * (Z(11) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + ... | 14 | 14 | 1 | {"smallest_eigenvalues": [-18.499999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.499999999999943, "smallest_bitstrings": ["00000000000001"], "largest_eigenvalue": 12.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(2.2870563065052107) q[0];
rz(pi/2) q[0];
ry(-0.19933563641349133) q[1];
ry(0.46061133316771896) q[2];
ry(-1.6146750627476383) q[3];
ry(-0.11445166382480616) q[4];
ry(-0.06789772626405) q[5];
ry(-1.9616278886234124) q[6];
ry(-0.1187366044352001) q[7];
ry(1.4635604058... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIZZIII",
"IIIIIIIIZZIIII",
"IIIIIIIIZIZIII",
"IIIIIIZZIIIIII",
"IIIZIZIIIIIIII",
"IIIZZIIIIIIIII",
"IIIIZZIIIIIIII",
"IZZIIIIIIIIIII",
"IIIIIIIIIIIIZI",
"IIIIIIIIIIIIIZ",
"IIIIIIIIIIIZII",
"IIIIIIIIIZIIII",
"IIIIIIIIIIZIII"... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.974128 | [
2.2870563065052107,
-0.19933563641349133,
0.46061133316771896,
-1.6146750627476383,
-0.11445166382480616,
-0.06789772626405,
-1.9616278886234124,
-0.1187366044352001,
1.4635604058974028,
-1.504265649054465,
-0.07109208111537171,
-2.1537182951063816,
-0.04491842007599271,
1.2092397899817557... | {
"n_parameters": 56,
"n_qubits": 14,
"optimal_eigenvalue": -18.499999999999932,
"target_ratio": 0.97,
"target_value": -17.944999999999933
} | 39 |
72ec18873d3dc55875c8efef46485470 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [62, 31], "expectation_value": -10.09588526790509, "params": [[-0.0045000000000000005, 0.0037, 0.7902, 0.7893, -0.003, 0.0037], [1.3363, 0.7837000000000001, 0.2142, 0.26, 0.7859, -1.3311000000000002], [0.7654000000000001, -0.4027, 1.3155000000000001, 1.3529, -0.3841, -0.7831], [1.3689, -0.0035, 1.40580000000... | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 9 | 6 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
bbe36c72142a04c8b1698fed3f77c25c | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [16, 19], "expectation_value": -3.999971823125694, "params": null, "bitstrings": ["01111", "01100"], "total_optimization_steps": 22, "probabilities": [1.3834265384826307e-05, 0.9999858819924361], "optimization_time": 14.136502504348755} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | 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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZZII",
"ZIIZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -3.4994830776867167, "params": [[[-0.004200000000000001, 0.38830000000000003], [0.0044, 0.45630000000000004], [0.6059, 0.0038]], [[-0.0038, 0.37120000000000003], [-0.0007, 0.3321], [0.609, 0.0038]], [[-0.004200000000000001, 0.0098], [0.0049, 0.0046], [0.6085, 0.001200000000000000... | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 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] ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
d64cdfb0330688360d8e7e9aacc7d340 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 1, "ta... | {"states": [430, 236], "expectation_value": -18.956513867880165, "params": [[-0.0323, -0.0094], [0.069, 0.0755]], "bitstrings": ["001010001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.006638058419212227, 0.007774798758961299], "optimization_time": 5.272747039794922} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 12.0 * Z(1) + 9.5 * Z(0) + 15.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 144.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.10233588057642375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.10233588057642375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10233588057642375) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.10233588057642375) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
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,
12,
9.5,
15,
5.5,
6,
16,
13,
5,
3.5
] | 0.970148 | [
-0.10233588057642375,
-1.972954297576704,
-2.3850419836234593,
-1.297796695472286,
-0.8416997263869539,
1.0253532726422685,
-0.7924832909763568,
-0.384709670388384,
0.4953370609194741,
0.9148457820585352,
0.0481164808355527,
0.10362743334425072,
0.42933531128712676,
-1.5105622714494802,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 81 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [19, 3], "expectation_value": -11.727465622893265, "params": [[[0.1845, 0.002], [1.5003, 0.0082], [0.3408, 0.008400000000000001], [0.34090000000000004, 0.0098], [1.7990000000000002, 0.0098], [1.8011000000000001, 0.0074]]], "bitstrings": ["101100", "111100"], "total_optimization_steps": 180, "probabilities": ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
-5.75,
-6.25,
-6,
-6,
-5.5,
-5.5
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
117d5eadcb002c843d1e10097e462227 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 48], "expectation_value": -2.0365145585154187, "params": [0.5024000000000001, -0.0028, 0.4995, -0.0011, -0.010100000000000001, 0.1539, -0.0034000000000000002, 0.3861, -0.0026000000000000003, 0.3153, 0.2044, 0.13820000000000002, 0.4999, 0.0041, 0.4998, -0.002, -0.0031000000000000003, 0.1557, 0.0001, 0.354... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0... | 4 | 6 | 3 | {"smallest_eigenvalues": [-3.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0625, "smallest_bitstrings": ["001111"], "largest_eigenvalue": 4.9375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) 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",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IIIZZZ",
"IZIIZZ",
"IIZIZZ",
"IZIZIZ",
"IIZZIZ",
"IZZIIZ",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZIZZZ",
"IIZZZZ",
"IZZIZZ",
"IZZZIZ",
"IZZZZI",
"IZZZZZ",
"ZII... | [
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,
0.5,
0.5,
-0.0625,
-0.0625,
-0.5625,
... | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
3865784645692248432 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 4, 5, 10], [10, 11, 5], [0, 5], [8, 5], [2, 10, 5, 7], [8, 1, 6], [11, 9, 3, 5], [5, 6], [8, 2, 11, 7], [3, 2, 10, 6], [8, 10, 2], [1, 3, 4, 6, 7], [1, 6, 7, 9, 10], [1, 2, 3], [2, 4, 7, 9, 11], [1, 2, 11], [0, 8, 3, 4], [1, 10, 3], [1, 10, 11], [9... | {"states": [2955, 3019], "expectation_value": -5.424062240147288, "params": [[[3.1531000000000002, 0.0027], [1.0531000000000001, 0.001], [3.1609000000000003, 0.0013000000000000002], [3.1615, 0.0004], [3.1276, 0.0078000000000000005], [1.6108, 0.0016], [1.115, 0.0035], [0.443, 0.003], [3.0764, 0.008], [1.1239000000000001... | 0.3833333333333333 * (Z(1) @ Z(4)) + 0.31666666666666665 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(6)) + 0.4333333333333333 * (Z(2) @ Z(4)) + 0.48333333333333334 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(6)) + 0.4666666666666667 * (Z(2) @ Z(7)) + 0.3 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.299999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.250000000000002, "smallest_bitstrings": ["010000110100"], "largest_eigenvalue": 25.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1519795942795716) q[0];
rz(0.11422996080668385) q[0];
rx(0.11212500719140084) q[1];
rz(-0.4625685809598855) q[1];
rx(3.159396958336328) q[2];
rz(-0.13187551215778195) q[2];
rx(3.337812342302603) q[3];
rz(-0.45903815113695356) q[3];
rx(2.8626884944185234) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZI",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIIZZI",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IIIIIZIIZIII",
"IIIIZIIIZIII",
"IIIIIIIIZZII",
"IIIIIIIIIIZZ",
"IIIIIZIIIIIZ",
"IIIIZIIII... | [
0.3833333333333333,
0.31666666666666665,
0.1,
0.13333333333333333,
0.05,
0.05,
0.4333333333333333,
0.48333333333333334,
0.1,
0.4666666666666667,
0.3,
0.3333333333333333,
0.05,
0.25,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.166666... | 0.971362 | [
3.1519795942795716,
0.11422996080668385,
0.11212500719140084,
-0.4625685809598855,
3.159396958336328,
-0.13187551215778195,
3.337812342302603,
-0.45903815113695356,
2.8626884944185234,
-0.42206722878565234,
3.0146795422498536,
0.3183062340367838,
1.1865520044275775,
-0.3043294717013475,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6.299999999999999,
"target_ratio": 0.97,
"target_value": -6.110999999999999
} | 21 |
-3335078706934662280 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4], [0, 3], [2, 5]]} | {"states": [51, 58], "expectation_value": -0.4461826602707808, "params": [[-0.36610000000000004], [0.3704]], "bitstrings": ["001100", "000101"], "total_optimization_steps": 40, "probabilities": [0.03459509274458073, 0.03459509274458073], "optimization_time": 1.3076231479644775} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["001100", "000101"], "largest_eigenvalue": 2.0000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.3773072835343535) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.3773072835343535) q[4];
cx q[3], q[4];
cx q[1], q[4];
cx q[3], q[0];
rz(-1.517027765447549) q[0];
cx q[3], q[0];
rz(0.06444889358226735) q[0];
rx(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"IZZIII",
"IZIIZI",
"IIZIIZ",
"ZIIZII",
"IIZIII",
"IIIIZI",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0
] | 0.837478 | [
-0.3773072835343535,
-1.517027765447549,
0.06444889358226775,
0.7951423235631674
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 108 |
319336d4d9e847fa7d1ee0518b973a6b | 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": [111, 107], "expectation_value": -42.352935676074395, "params": [0.6535000000000001, 0.3635, 1.3039, 0.0018000000000000002, 1.2954, 0.22970000000000002, 0.33890000000000003, 0.6775, 1.3003, 0.2624, 0.8752000000000001, 0.46530000000000005, 1.2953000000000001, 0.3337, 1.0913000000000002, 0.3677, 0.6508, 0.0002... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 3.5 * Z(0) + 13.0 * Z(2) + 14.0 * Z(1) + 0.5 * Z(3) + 8.5 * Z(4) + 8.5 * Z(5) + 5.5 * Z(7) + 12.0 * ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 120.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.15455209329445324) q[0];
rz(0.15674711241488648) q[0];
rx(1.8085632290262856) q[1];
rz(-0.02389507591822497) q[1];
rx(1.877461299456812) q[2];
rz(0.19584349178655958) q[2];
rx(0.01963255610823403) q[3];
rz(0.7482840904077338) q[3];
rx(1.4976627266475808) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIZZIIII",
"ZIZIIIII",
"IZIIIZII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
3.5,
13,
14,
0.5,
8.5,
8.5,
5.5,
12
] | 0.97032 | [
0.15455209329445324,
0.4302639286996106,
1.8085632290262856,
-0.02389507591822497,
1.877461299456812,
0.19584349178655958,
0.01963255610823403,
0.7482840904077338,
1.4976627266475808,
0.3388370212572438,
0.023965658344218155,
0.35156247219666215,
1.4347050162015147,
0.2989597213864459,
1... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -62.5,
"target_ratio": 0.97,
"target_value": -60.625
} | 20 |
bd450980ecb62a263062b6b855a443ea | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [27, 31], "expectation_value": -5.88727440555093, "params": null, "bitstrings": ["1100100", "1100000"], "total_optimization_steps": 40, "probabilities": [0.41295864328490506, 0.41295864328490506], "optimization_time": 33.359108686447144} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110100", "1100100", "1100000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8940808328512944) q[0];
h q[1];
ry(0.041756198791205276) q[1];
h q[2];
ry(-0.03032114105568228) q[2];
h q[3];
ry(0.4442013340719362) q[3];
h q[4];
h q[5];
ry(0.8884026681438724) q[5];
cx q[5], q[1];
ry(-0.041756198791205276) q[1];
cx q[5], q[1];
ry(-0.8557... | 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(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
1.5,
-1.25,
-0.75,
-0.25,
1,
-0.25,
-0.5,
0.5,
0.25
] | 0.971173 | [
0.8884026681438724,
1.622467847555487,
-1.7881616657025887,
0.08351239758241055,
-0.1298063569670014,
0.48401841381661614,
-0.06064228211136456,
0.4944845920735319,
-0.5239031451717074,
-0.8974703140323975,
-1.005223191000236,
0.8108085797164076,
1.648602767536483,
0.2412183790864333,
0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 83 |
19bd60a35e5d777b92659bc38c859aa9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [1847, 1591], "expectation_value": -2.2842305064277304, "params": [[[2.1047000000000002, 0.00030000000000000003], [2.0997, 0.0004], [1.4815, 0.0019], [-0.0026000000000000003, 0.0034000000000000002], [0.5146000000000001, 0.009600000000000001], [2.1045000000000003, 0.0089], [2.0997, 0.0076], [0.483100000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(4) @ Z(5)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(1) @ Z(6) @ Z(7)) + 0.0625 * (Z(2) @ Z(6... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.5625, -4.5625, -4.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5625, "smallest_bitstrings": ["10010001100", "00111001000", "01011000010"], "largest_eigenvalue": 7.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.4677293608988666) q[0];
rz(1.0444303454472537) q[0];
rx(2.974002463698843) q[1];
rz(-0.40351274015359156) q[1];
rx(0.09674417331901358) q[2];
rz(-0.7095402975415359) q[2];
rx(-0.025345941720383902) q[3];
rz(0.2589468738284733) q[3];
rx(0.07211956067371647) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZZIIIZ",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"IIIZZIIIIZI",
"IIIIZIIIZII",
"IIZIIIIIZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"ZIIIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
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,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,... | 0.980744 | [
3.4677293608988666,
1.0444303454472537,
2.974002463698843,
-0.40351274015359156,
0.09674417331901358,
-0.7095402975415359,
-0.025345941720383902,
0.2589468738284733,
0.07211956067371647,
-0.0601920655445911,
3.1385933221394593,
0.9426309944242467,
-0.513310476899536,
-0.04907150896881199,
... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -4.5625,
"target_ratio": 0.97,
"target_value": -4.425625
} | 24 |
6abee49f932c3a6c555bdb36f64160a1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 31], "expectation_value": -3.710526080678704, "params": [[0.07250000000000001], [-0.07200000000000001]], "bitstrings": ["11111111111", "11111100000"], "total_optimization_steps": 10, "probabilities": [0.001131643832709521, 0.0012286636942796334], "optimization_time": 4.066697359085083} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + -3.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(4)) + -2.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["11111100000"], "largest_eigenvalue": 35.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6430214263465752) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.1266548834935663) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02751805485061168) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.5887235437342699) q[3];
cx q[1], 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;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"ZIIIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIII... | [
-2.5,
1,
0.5,
-3,
1,
1.5,
-3.5,
1,
-3,
-3,
1,
-2.5,
-3,
-3,
-2,
-2,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2.5,
-2.5,
-3,
-3,
-3,
2,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.528675 | [
-0.6430214263465752,
-0.1266548834935663,
-0.02751805485061168,
-0.5887235437342699,
-0.279366965921311,
-0.3539620347432813,
-1.0968599724356154,
-1.1318634557363245,
-0.24925012147422268,
-1.0617080587770398
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 237 |
08b9883600e02731f158b2b1d5d9c9bd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [3, 1], "expectation_value": -4.455697236891611, "params": [[-0.0407, -0.046, -0.0434, -0.0478], [0.044500000000000005, 0.056100000000000004, 0.0466, 0.056]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.024739162213475843, 0.034084398356124916], "optimization_tim... | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 15.25} | 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(0.1019184672717538) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.15303627208319998) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2675488550582529) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.1019184672717538) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
-1.25,
-2,
-1.5,
-1.25,
-0.75,
-1,
-0.5,
3.75,
-0.25,
-1.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.5,
-0.25,
-0.75,
2.25,
2.5,
-0.5,
-1.75
] | 0.971263 | [
0.1019184672717538,
0.15303627208319998,
0.2675488550582529,
0.46476512296611683,
0.035813695834919695,
0.09530007768597705,
-0.15852781068968608,
0.07033331248619396,
0.7362223705722715,
-0.13317956850501755,
0.8131478071893592,
1.5095742138254278,
0.1498296177374479,
0.3121760974810467,
... | {
"n_parameters": 48,
"n_qubits": 7,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 235 |
5ec0eeae0dee32db5b97031a844f36d7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [374, 342], "expectation_value": -64.19723613836557, "params": [0.0031000000000000003, 0.6798000000000001, 1.1983000000000001, 0.2577, 0.7872, 0.31070000000000003, 1.2011, 0.1325, 0.7929, 0.2426, 1.2071, 0.2817, 0.0008, 0.6844, 1.2051, 0.0059, 1.1974, 0.15330000000000002, 0.5542, 0.32780000000000004, 0.00310... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(0) @ Z(7)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(8) @ Z(9)) + 19.0 * Z(3) + 7.0 * Z(2) + 8.5 * Z(1) + 5.0 * Z(4) + 9.5... | 18 | 10 | 2 | {"smallest_eigenvalues": [-102.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.0, "smallest_bitstrings": ["1010101001"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.05444017918566131) q[0];
rz(0.6108353495081067) q[0];
rx(1.341683289939258) q[1];
rz(-0.1278760707426531) q[1];
rx(0.2972739488651284) q[2];
rz(0.48310209383718744) q[2];
rx(1.6093692555433217) q[3];
rz(0.00453346225260845) q[3];
rx(0.4948582188845212) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIZZIIIII",
"IIZIIIIIIZ",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
19,
7,
8.5,
5,
9.5,
-3,
13,
-4.5,
1.5,
22
] | 0.972607 | [
0.05444017918566131,
0.5462446679317468,
1.341683289939258,
-0.1278760707426531,
0.2972739488651284,
0.48310209383718744,
1.6093692555433217,
0.00453346225260845,
0.4948582188845212,
0.03610731748974187,
1.4375241066575049,
0.3715681498782174,
0.025122080569298905,
0.7534510445523044,
1.... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -102,
"target_ratio": 0.97,
"target_value": -98.94
} | 17 |
-6444999204793715173 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 4], [1, 10, 11, 6], [8, 4, 5, 6], [10, 11, 5], [1, 10, 7], [8, 9, 12], [8, 0, 12], [0, 9, 4, 5], [8, 10, 3, 12], [8, 0, 11, 7], [9, 10, 4, 5], [0, 1], [1, 12, 6], [0, 2, 3], [12, 4], [2, 11], [6, 7], [8, 0, 4, 6], [1, 5], [9, 3, 5, 6], [8, 0, 3... | {"states": [7786, 3691], "expectation_value": -6.384442463811823, "params": [[[1.5737, 1.0806], [3.1389, -1.0765], [-0.0016, 3.1385], [-1.5715000000000001, 1.568], [-1.5689000000000002, 1.5728], [-1.5736, 1.5727], [-1.5917000000000001, 1.5679], [-1.5197, 1.5679], [1.5735000000000001, 1.5735000000000001], [1.5677, 1.568... | 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.... | 15 | 13 | 1 | {"smallest_eigenvalues": [-7.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.249999999999999, "smallest_bitstrings": ["1000110010100"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.547684041262741) q[0];
ry(3.8805520028593232) q[1];
ry(-1.552191160483243) q[2];
ry(-1.5831482426419978) q[3];
ry(-1.5676256195856946) q[4];
ry(-1.5971567502713464) q[5];
ry(-1.4864135955815678) q[6];
ry(-1.454865819383424) q[7];
ry(1.5616793504421491) q[8];
ry(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": []} | [
"IIIIIIIZIIIZI",
"IIIIIZIZIIIII",
"IIIIIZIIIIIZI",
"IIIIIIIZIIZII",
"IIIIIIIIIIZZI",
"IIIIIZIIIIZII",
"IIIIIIIZIZIII",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIZIIIZIIIII",
"IIIZIIIIIIIZI",
"IIIZIZIIIIIII",
"IIIZIIIIIIZII",
"IIIZIIIIIZIII",
"IZIIIZIIIIIII",
"IZIIIIIIIIZII",
"IZIIIIIIIZI... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.5,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.25,
0.416... | 0.970934 | [
1.547684041262741,
3.8805520028593232,
-1.552191160483243,
-1.5831482426419978,
-1.5676256195856946,
-1.5971567502713464,
-1.4864135955815678,
-1.454865819383424,
1.5616793504421491,
1.5514949095377324,
1.5927437911392615,
1.6773572082205481,
1.6454387626754312,
-1.6472157544256936,
4.70... | {
"n_parameters": 23,
"n_qubits": 13,
"optimal_eigenvalue": -7.749999999999999,
"target_ratio": 0.97,
"target_value": -7.517499999999999
} | 295 |
61e3b2a5d555a14d43f55fdcbfde92db | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [310, 214], "expectation_value": -13.383767225039628, "params": [[0.0335], [-0.08070000000000001]], "bitstrings": ["011001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.0041587977989131966, 0.004771015228089418], "optimization_time": 2.0537948608398438} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + 20.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 173.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.038077298461885775) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.038077298461885775) q[2];
cx q[0], q[2];
rz(-1.3087606803728935) q[0];
rx(-1.5571842027327387) q[0];
h q[3];
cx q[1], q[3];
rz(-0.038077298461885775) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
20,
2,
14.5,
7,
17.5,
3,
10.5,
4,
24.5
] | 0.971975 | [
-0.038077298461885775,
1.495145707453342,
-1.3087606803728935,
-1.1542323795899323,
1.4719494406080444,
1.8681753451559386,
-1.8364830450991425,
1.3900851624893737,
-1.521409406940012,
1.506947653596262,
-1.5571842027327387
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 44 |
ab957251534d09507f870c3a6ef42154 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [40, 23], "expectation_value": -0.07927773164460465, "params": [[-0.0172, -0.056], [-0.026500000000000003, 0.056400000000000006]], "bitstrings": ["010111", "101000"], "total_optimization_steps": 10, "probabilities": [0.016776011332229654, 0.017222755315586046], "optimization_time": 2.511897087097168} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"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 |
86b09a959c93d715f15515c443cf10b0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 5}, {"capac... | {"states": [129, 1], "expectation_value": -2.8514043756444387, "params": [[0.0655], [-0.0661]], "bitstrings": ["1101111110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0019528809323917772, 0.00196682129514066], "optimization_time": 4.4976067543029785} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.75 * (Z(5) @ Z(0)) + -1.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(5)) + -1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(5)) + 7.25 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(2)) + -1.25 * (Z(9... | 1 | 10 | 1 | {"smallest_eigenvalues": [-33.75, -33.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.75, "smallest_bitstrings": ["1111111110", "1101111110"], "largest_eigenvalue": 30.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.827859581952912e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(7.317446806629245e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(4.990801687047114e-09) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-1.38014551204314... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IZIIIIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIIIIIIZI"... | [
-1.25,
-0.5,
-0.75,
-1.75,
-1.75,
-0.75,
-1.5,
-1.75,
-1.5,
-0.75,
-1.75,
7.25,
-1.25,
-1.25,
-0.25,
-2,
-0.75,
-1.5,
-1,
1,
-0.25,
0,
0.75,
-0.25,
-3.25,
-3.75,
4.75,
0.75,
0.25
] | 0.790477 | [
1.827859581952912e-8,
7.317446806629245e-8,
4.990801687047114e-9,
-1.3801455120431411e-8,
5.970233982245082e-9,
1.4533786484540717e-8,
-1.1957836402109978,
-3.14159267391682,
-8.548653932002413e-8,
-1.5707962981124395,
1.5707965496142693,
1.57079632375354,
-1.5707963454305491,
-1.570796185... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -33.75,
"target_ratio": 0.97,
"target_value": -32.7375
} | 500 |
3d599008e6d247101eb02503201a8a05 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 15], "expectation_value": -0.6557156663449886, "params": [[-0.0472, -0.0526, -0.0826], [0.055900000000000005, 0.0555, 0.0716]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.04945231895015348, 0.05286887080030718], "optimization_time": 2.576754093170166} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | OPENQASM 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": []} | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
655689708e73cb2de5fff319b9c5049e | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43669, 43605], "expectation_value": -1.7026201947554147, "params": null, "bitstrings": ["0101010101101010", "0101010110101010"], "total_optimization_steps": 100, "probabilities": [0.1207652397415976, 0.26877270745939336], "optimization_time": 1150.0311584472656} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0006172839506172839 * (Z(4) @ Z(0)) + -0.00046296296296296303 * (Z(4) @ Z(2)) + 0.0006172839506172839 * (Z(5) @ Z(1)) + -0.00046296296296296303 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0182098765431746], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.018209876543164, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.016049382716005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.3114576192495056) q[1];
cx q[0], q[1];
ry(0.3114576192495056) q[1];
cx q[0], q[1];
ry(-0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.6769972329410875) q[0];
ry(-0.05626210454716797) q[1];
h q[2];
h q... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5952) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
0.0006172839506172839,
-0.00046296296296296303,
0.0006172839506172839,
-0.00046296296296296303,
0.25,
-0.0009259259259259261,
-0.0006944444444444445,
-0.00046296296296296303,
-0.0009259259259259261,
-0.0006944444444444445,
-0.00... | 0.97036 | [
-0.1530126046139461,
-0.6079426493672848,
-0.6986865897845813,
-0.6229152384990112,
-0.19187308433866224,
-1.262129033882647,
-1.0406852453135558,
-1.503410570765852,
-0.42170585527000815,
0.258806616762688,
-0.8679451848812157,
1.047117295721072,
0.06747524180625496,
0.9195739993990667,
... | {
"n_parameters": 98,
"n_qubits": 16,
"optimal_eigenvalue": -2.0182098765431746,
"target_ratio": 0.97,
"target_value": -1.9576635802468794
} | 72 |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [15, 31], "expectation_value": -3.639214553464091, "params": null, "bitstrings": ["110000", "100000"], "total_optimization_steps": 32, "probabilities": [0.36461455184422314, 0.36464526034654576], "optimization_time": 23.06987452507019} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.142596775395089) q[0];
h q[1];
ry(-2.805862209723741) q[2];
rz(-pi) q[2];
h q[3];
ry(1.6727279779329813) q[3];
cx q[3], q[2];
ry(-0.006612696294308967) q[2];
cx q[3], q[2];
h q[4];
ry(0.18808620509776625) q[4];
h q[5];
cx q[5], q[4];
ry(-0.1880862050977662... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[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 \"stdgat... | [
"IIZIIZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIZIZI",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
-0.25,
-0.25,
-1,
-0.25,
-1,
0.5,
-0.75,
2,
-0.25,
0,
-0.5,
-1,
-0.25
] | 0.977265 | [
1.6727279779329813,
0.3761724101955325,
1.2284531866345352,
0.427136098034033,
-2.285193550790178,
-0.23338856410801373,
-0.22032755357472006,
0.013225392588617935,
0.6739447709084712,
0.7214781933643197,
0.33930929519387343,
-2.1923364254591933,
0.19110177979600335,
0.7238842759854223,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 132 |
625557117031919536 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 5], [2, 11], [2, 3], [8, 4], [1, 2], [2, 7], [1, 7], [0, 5], [3, 6], [2, 5], [1, 11], [9, 2], [1, 10], [8, 11], [0, 11], [9, 4], [11, 4], [3, 4]]} | {"states": [853, 855], "expectation_value": -0.033281145494325065, "params": [0.7503000000000001, 0.7518, 0.7503000000000001, 0.7476, 0.8327, 0.8279000000000001, 0.8166, 0.8197, 0.7626000000000001, 0.7551, 0.8093, 0.8168000000000001, 0.7424000000000001, 0.7451, 0.8178000000000001, 0.8197, 0.7678, 0.7644000000000001, 0.... | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8... | 13 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["110010101000", "001101010111", "110010101010", "001101010101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.17948840705744507) q[0];
rz(0.10488062715716552) q[0];
ry(-0.17948840705744507) q[1];
ry(1.9287439729000906) q[2];
ry(0.5459892235760928) q[3];
ry(0.3516433608957847) q[4];
ry(2.534998292390156) q[5];
ry(-0.06204640848767099) q[6];
ry(0.3933339520990464) 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": []} | [
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIIIIZIIZI",
"IIIIIIIIZIZI",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"IIIIZIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIZIIZIIIII",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"IIIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970708 | [
-0.17948840705744507,
1.9287439729000906,
0.5459892235760928,
0.3516433608957847,
2.534998292390156,
-0.06204640848767099,
0.3933339520990464,
-0.2089679524525832,
1.5292222639053314,
1.0037412567567603,
0.5637691151368484,
0.20976125431433104,
0.7893247126656899,
0.16107003000460426,
-0... | {
"n_parameters": 45,
"n_qubits": 12,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 52 |
3605342970170531653 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 5, 6, 7], [0, 1, 5, 7], [0, 2, 3, 5, 7], [1, 3, 4, 7], [2, 4, 5, 7], [0, 1, 2, 6, 7], [0, 1, 3, 5, 6]]} | {"states": [254, 252], "expectation_value": -1.0562708539423118, "params": [[-0.5451], [0.41500000000000004]], "bitstrings": ["00000001", "00000011"], "total_optimization_steps": 60, "probabilities": [0.013808946418519699, 0.014169429675311759], "optimization_time": 2.887420415878296} | 0.05 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.23333333333333334 * (Z(5) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.15000000000000002 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.23333333333333334 * (Z(7) @ Z(0)) + 0.26666666666666666 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5500000000000005, -1.5500000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4666666666666675, "smallest_bitstrings": ["00000011", "10001000"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.025950203765361654) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.017533253495459575) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.014208343644864133) q[5];
cx q[0], q[5];
h q[6];
cx q[4], q[6];
rz(-0.02595020... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIZI",
"IIIIIIZZ",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IIIIIZIZ",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIIZII... | [
0.05,
0.13333333333333333,
0.23333333333333334,
0.05,
0.15000000000000002,
0.1,
0.21666666666666667,
0.23333333333333334,
0.26666666666666666,
0.1,
0.08333333333333333,
0.18333333333333335,
0.13333333333333333,
0.1,
0.21666666666666667,
0.08333333333333333,
0.1,
0.13333333333333333... | 0.971542 | [
-0.025950203765361654,
0.017533253495459575,
-0.014208343644864133,
-1.661635093704347,
0.025489371811250286,
0.09660117131006174,
0.06803652882470397,
0.010615968540622035,
0.003591744962675128,
-1.614551369647102,
1.5353685394465144,
-1.6206460862286978,
-1.5206413440209412,
1.5936817844... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -1.5500000000000005,
"target_ratio": 0.97,
"target_value": -1.5035000000000005
} | 108 |
2cf6224a7b786ab8607e7cc5dbc62158 | 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": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -1.0625262926243604, "params": [[-0.060200000000000004, -0.0847], [0.066, 0.07690000000000001]], "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 10, "probabilities": [0.015677612802930653, 0.016523660061599194], "optimization_time": 2.0841801166534424} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.06830128417282086) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.011585934974251182) q[3];
cx q[2], q[3];
rz(-0.6633598662099609) q[2];
rx(-1.3300415243216537) q[2];
cx q[3], q[1];
rz(-0.30274825969433) q[1];
cx q[3], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-0.75,
-0.25,
-1.25,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
0.5,
1
] | 0.970349 | [
-0.06830128417282086,
-0.6633598662099606,
0.011585934974251182,
-0.30274825969433,
0.03219304338927346,
-0.1354849027968686,
0.8613712349684953,
0.42174121241001783,
-1.330041524321654,
-0.2214808877154617,
-0.993722562477752,
0.18392254142999373,
-0.9256007528868808,
0.1552563526822461,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 210 |
ab341360a725e6b2f6204b135ea8e845 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.22228939084019145, "params": [[-0.0284, -0.0506], [0.025900000000000003, 0.049]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004760368202385846, 0.004847069004493996], "optimization_time": 3.0246267318725586} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3616489854973577) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.06786389583435384) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.06786389583435384) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.08036... | OPENQASM 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": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IZIIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-0.5,
1,
-0.25,
-0.75,
0.5,
-0.25,
0,
0,
0.5,
-0.75,
0.5,
-0.5
] | 0.85084 | [
-0.3616489854973577,
-0.06786389583435384,
0.08036266502885292,
0.014122342550911144,
-0.06025999169762382,
-2.122194135643358,
-0.9339622963225644,
1.2077324071539282,
0.505924878081681,
0.09722562124955719,
0.20834114901752002,
0.03267940985594221,
-1.292535824377209,
1.3866019892713894,... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
78f89ba37e1e52ef320c2e0609cedde3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "s... | {"states": [1, 215], "expectation_value": -2.261583843059894, "params": [[-0.1751], [0.1791]], "bitstrings": ["111111110", "100101000"], "total_optimization_steps": 20, "probabilities": [0.0073297081108941765, 0.0075643722095731815], "optimization_time": 3.2490458488464355} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100101000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.14641081276545506) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.14641081276545506) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(1.446521872496118) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.09337964079066705) q[4];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
2,
-0.25,
-0.25,
-0.5,
0.25,
-0.25,
-1.25,
-0.25,
-1,
1.5,
-0.25,
0.5,
0.75
] | 0.589868 | [
0.14641081276545506,
1.446521872496118,
0.09337964079066705,
-1.3582993433250345,
0.08855406426495552,
1.5235042087243942,
-1.4438171798178152,
0.3232872648045847,
-0.20999463321216236,
0.9608239973720152
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 259 |
6ca7d17fd5da99c16b5e08c2388f4219 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -9.523501899015901, "params": [0.0039000000000000003, 0.43160000000000004, 0.005200000000000001, -0.1547, 0.0023, -0.5932000000000001, 0.0024000000000000002, 0.6023000000000001, 0.0024000000000000002, -0.5758, 0.0025, 0.5763, 0.0023, -0.4071, 0.0027, 0.6079, 0.81, 0.0004, 0.0035,... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 3 | 9 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.005199878430952781) q[0];
rz(0.49753994051744854) q[0];
rx(0.009444908772521665) q[1];
rz(0.056812599041951906) q[1];
rx(0.0102766991684648) q[2];
rz(-0.676310269412558) q[2];
rx(0.0016931880366726111) q[3];
rz(0.9424830252791354) q[3];
rx(0.0016931880366726115) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
0.5,
-0.25,
-0.25,
-0.25,
-2.75,
0,
1.25,
0,
1,
0.75,
0.25
] | 0.970696 | [
-0.005199878430952782,
0.37496190897554177,
0.009444908772521663,
-0.23217063461303789,
0.0102766991684648,
-0.4946957216394926,
0.0016931880366726111,
0.7310045504369199,
-0.3930316605389239,
-0.05982864059873119,
0.5973458095286764,
-0.2609853964398807,
-0.022565700292863936,
0.740756047... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 6 |
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": -12.403376695017947, "params": [[-0.036000000000000004], [0.08120000000000001]], "bitstrings": ["10001010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.007643751338462365, 0.008323362773706038], "optimization_time": 1.9824612140655518} | 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 | 1 | {"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] 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[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];
r... | {"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 |
800f779aab5ac71650acd9af8d6964c8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [135, 7], "expectation_value": -21.128984055364167, "params": [0.2949, 0.043300000000000005, 0.07930000000000001, 0.2625, 0.07690000000000001, 0.0155, -0.0017000000000000001, -0.37510000000000004, 0.0427, 0.0212, 0.6848000000000001, 0.0034000000000000002, 0.6721, -0.0103, 0.642, 0.0099, 0.2909, -0.1951, -0.0... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
9f95a6b8d69043a5d277b3f4562e53a4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [5, 1], "expectation_value": -15.415031549003638, "params": null, "bitstrings": ["1111111010", "1111111110"], "total_optimization_steps": 45, "probabilities": [0.1514368970764777, 0.48340423609334254], "optimization_time": 88.1995952129364} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -3.0 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7879111695786734) q[0];
h q[1];
ry(-1.4825662710152618) q[1];
h q[2];
ry(-1.5758223391573467) q[2];
ry(-0.05832034583528325) q[3];
rz(-pi) q[3];
h q[4];
ry(-1.5758223391573467) q[4];
rz(-pi) q[5];
ry(-0.3737700305674028) q[5];
h q[6];
rz(-pi) q[7];
ry(-0.... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.4894) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII"... | [
-0.25,
-0.75,
-0.75,
-1.5,
-0.25,
-0.5,
-0.5,
-0.75,
-1.5,
-1,
-0.25,
-3,
-1,
-1.5,
-0.5,
-0.25,
-1.5,
-0.25,
2,
-0.5,
-0.25,
-1.5,
-1.5,
-1,
-0.25,
-0.5,
1.5,
-0.25,
1.75,
-1.75,
0.25,
-2,
-3.75,
2.25,
0.75,
1.25
] | 0.97096 | [
-2.1613071108575745,
-1.5447454863324994,
-1.4825662710152618,
-1.5758223391573467,
1.479956722685747,
-0.7607647264218023,
-1.9386036958086086,
0.7225391062238032,
-0.1740739787811622,
0.6152625729227833,
0.43348150699055016,
-0.5775873533904713,
0.2702775860037029,
-1.5897372117565165,
... | {
"n_parameters": 30,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 45 |
-8671993300803195147 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 1], [2, 3, 5, 8, 9], [0, 1, 2, 3, 5, 6, 8, 11, 12], [3, 4, 5, 8, 11], [0, 2, 5, 6, 7, 8, 10, 11], [0, 12, 7], [1, 12, 7], [9, 4, 7], [0, 2, 4, 5, 11], [1, 2, 4, 7], [3, 12, 7], [0, 2, 3, 4, 8, 12], [0, 2, 3, 4, 8, 9, 10, 11], [1, 5, 8, 10, 12], [1... | {"states": [7142, 7156], "expectation_value": -1.7100030060387454, "params": [[-0.24860000000000002], [0.25930000000000003]], "bitstrings": ["0010000011001", "0010000001011"], "total_optimization_steps": 30, "probabilities": [0.00039688235366270674, 0.00040243233366228203], "optimization_time": 34.82318377494812} | 0.5 * (Z(9) @ Z(1)) + 0.12103174603174602 * (Z(2) @ Z(1)) + 0.10119047619047619 * (Z(2) @ Z(9)) + 0.037698412698412696 * (Z(3) @ Z(1)) + 0.06785714285714287 * (Z(3) @ Z(9)) + 0.13888888888888887 * (Z(3) @ Z(2)) + 0.08769841269841269 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(9)) + 0.15555555555555553 * (Z(5) @ Z(2)) + 0.1376984... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.232142857142858], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.079761904761904, "smallest_bitstrings": ["0010000001011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[9];
rz(-0.0152807099300317) q[9];
cx q[1], q[9];
cx q[1], q[2];
rz(0.006097503587998458) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.012614582508447818) q[3];
cx q[1], q[3];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIZIIIIIIIZI",
"IIIIIIIIIIZZI",
"IIIZIIIIIIZII",
"IIIIIIIIIZIZI",
"IIIZIIIIIZIII",
"IIIIIIIIIZZII",
"IIIIIIIZIIIZI",
"IIIZIIIZIIIII",
"IIIIIIIZIIZII",
"IIIIIIIZIZIII",
"IIIIZIIIIIIZI",
"IIIZZIIIIIIII",
"IIIIZIIIIIZII",
"IIIIZIIIIZIII",
"IIIIZIIZIIIII",
"IIIIIIIIIIIZZ",
"IIIZIIIIIII... | [
0.5,
0.12103174603174602,
0.10119047619047619,
0.037698412698412696,
0.06785714285714287,
0.13888888888888887,
0.08769841269841269,
0.1,
0.15555555555555553,
0.1376984126984127,
0.1376984126984127,
0.11785714285714287,
0.15674603174603172,
0.18888888888888888,
0.2555555555555556,
0.013... | 0.932864 | [
-0.0152807099300317,
0.006097503587998458,
0.010218176774208745,
-0.012614582508447818,
0.0041012257126424815,
0.0028179568394635555,
-0.004897590547531847,
-0.00683775813892292,
0.003099772108445203,
0.008028900964374332,
0.002908122691704695,
-0.030203871293056867,
-0.012382338691246482,
... | {
"n_parameters": 62,
"n_qubits": 13,
"optimal_eigenvalue": -4.232142857142858,
"target_ratio": 0.97,
"target_value": -4.105178571428572
} | 500 |
-4282881310420811249 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [0, 3, 5, 6], [0, 1, 5], [1, 2], [2, 3, 7], [4, 6], [0, 1, 3, 7], [0, 2, 5, 7]]} | {"states": [195, 93], "expectation_value": -0.01250643496470425, "params": [[0.028], [-0.0325]], "bitstrings": ["00111100", "10100010"], "total_optimization_steps": 10, "probabilities": [0.003971649042281729, 0.003976482555656091], "optimization_time": 0.8507406711578369} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5833333333333335, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(1.1158595378287324) q[0];
cx q[4], q[0];
cx q[0], q[3];
rz(0.171172849776736) q[3];
cx q[0], q[3];
h q[5];
cx q[0], q[5];
rz(0.23053843234226568) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(-0.16137161662439892) q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IZIZIIII",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"IIIIIIZZ",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZII... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.16666666666666666,
0.25,
0.08... | 0.665748 | [
1.1158595378287324,
0.171172849776736,
0.23053843234226568,
-0.16137161662439892,
0.211111157449823,
-0.07896375718277066,
0.12029922761121688,
1.311895046387676,
0.056391334311115524,
-0.004146952082205454,
-0.8973135013385977
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.7499999999999996,
"target_ratio": 0.97,
"target_value": -2.6674999999999995
} | 246 |
e776e7ca61722eeb2742e447edcfe87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [51, 115], "expectation_value": -11.725458731613575, "params": null, "bitstrings": ["11001100", "10001100"], "total_optimization_steps": 47, "probabilities": [0.002725986084030044, 0.997272149847847], "optimization_time": 62.39519166946411} | -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 | 1 | {"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... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"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 |
5675e3d1d23688cedf58afc21ee4a6b6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": ... | {"states": [0, 383], "expectation_value": -10.507939437121113, "params": [-0.1298, 1.2573, 0.2802, 0.0007, 0.5791000000000001, 2.648, 0.2713, 0.0007, -0.8212, 2.2369, 0.0102, 0.0063, -0.9105000000000001, 1.6543, 0.0925, 0.0051, -0.9185000000000001, 1.2573, 0.5694, 0.009300000000000001, 0.9258000000000001, 1.15190000000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * Z(2) + 1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.36723293102627264) q[0];
rz(1.8336662116647275) q[0];
rx(2.322337287915746) q[1];
rz(-1.5824744389844776) q[1];
rx(-0.06990651643525302) q[2];
rz(-3.1066738827455334) q[2];
rx(-3.138679370015078) q[3];
rz(2.971693771251063) q[3];
rx(-0.39217119453756505) 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[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973578 | [
-0.3672329310262726,
0.26286988486983043,
2.3223372879157456,
3.129914541400212,
-0.069906516435253,
1.6057150976391568,
-3.138679370015078,
1.4008974444561666,
-0.3921711945375651,
0.1860218471257741,
0.6039060435257514,
0.233178014561896,
0.40213824820907296,
0.14730470988870933,
0.626... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 192 |
96ad00ceee3f9c4e7577fb22d2b67779 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [154, 218], "expectation_value": -40.16810511822339, "params": null, "bitstrings": ["101100101", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09375692448695085, 0.2068702820557305], "optimization_time": 161.2382366657257} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.08791191676338868) q[0];
ry(-0.33754507559349983) q[1];
rz(-pi) q[1];
h q[2];
ry(-23.54483630508895) q[2];
h q[3];
ry(14.060833410252924) q[3];
rz(-pi) q[4];
ry(-0.9826654190681591) q[4];
rz(-pi) q[5];
ry(-0.3059806607972074) q[5];
cx q[2], q[5];
ry(-4.691... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-23.4164) 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] =... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17,
0.5,
14.5,
12,
3,
14.5,
5,
11.5,
5
] | 0.970321 | [
-23.54483630508895,
-1.7344826067047194,
49.980197664918016,
9.383386224212316,
-6.271914019307241,
10.912726493420333,
29.956408283445157,
23.264278099504317,
38.151645845580276,
34.638908360457215,
0.779602309158077,
14.060833410252924,
33.81330841654803,
0.2555633208025561,
-0.0449921... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 104 |
b93e7e87e2621c92c7ba04b041c49bf3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 41], "expectation_value": -3.9999374799845198, "params": null, "bitstrings": ["000111", "010110"], "total_optimization_steps": 26, "probabilities": [1.6356460472479446e-05, 0.9999687407489248], "optimization_time": 19.110145568847656} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | 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[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... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
887595949ae6925e33a681a58519a274 | 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": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [15642, 15674], "expectation_value": -47.84491720045783, "params": [[[0.0023, 1.3272000000000002, 0.007, 0.0038], [0.7281000000000001, -0.0029000000000000002, -0.3597, 0.0068000000000000005], [0.3402, 0.014100000000000001, 0.009000000000000001, 0.018600000000000002], [0.9364, 0.0034000000000000002, 1.1209, 0... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 12 | 16 | 3 | {"smallest_eigenvalues": [-48.74999999999992], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.74999999999929, "smallest_bitstrings": ["1100001011000101"], "largest_eigenvalue": 170.25000000000068} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.13984682369290952) q[0];
rz(1.5938811126123158) q[0];
ry(0.7610427262618326) q[1];
rz(0.07031768406246493) q[1];
cz q[1], q[0];
ry(0.3140276442107706) q[0];
rz(0.7636300721559677) q[0];
ry(-1.0156869910184512) q[1];
ry(0.4264636834722848) q[2];
rz(0.0552000000090... | 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": []} | [
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIZII",
"IIIIIIIZIIIIZIII",
"IIIIIIIZIIIIIZII",
"IIIIIIIZIIIZIIII",
"IIIIIIIZIIZIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIZIIIIIZIII",
"IIIIIIZIIIIIIZII",
"IIIIIIZIIIIZIIII",
"IIIIIIZZIIIIIIII",
"IIIIIIZIIIZIIIII",
"IIIIIIZ... | [
2,
2,
1,
-1,
-0.5,
-0.5,
-0.5,
-1,
2,
-1,
-0.5,
-0.5,
1,
-0.5,
-1,
-0.5,
0.5,
1,
-0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
0.25,
1,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
0.5,
0.5,
2,
1,
1,
-1,
-1,
-2,
-1,
1,
1,
2... | 0.973359 | [
-0.13984682369290952,
1.5938811126123158,
0.7610427262618326,
0.07031768406246493,
0.4264636834722848,
0.05520000000902982,
0.7598598941311168,
-0.005774750135631135,
0.5747719579600107,
0.05223522100477087,
-0.036998059032669756,
1.8760773287378025,
0.023285197553815994,
0.457270073551858... | {
"n_parameters": 126,
"n_qubits": 16,
"optimal_eigenvalue": -48.74999999999992,
"target_ratio": 0.97,
"target_value": -47.28749999999992
} | 20 |
047a6db213ec2347412434e39dcab446 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [250, 249], "expectation_value": -9.068318980557184, "params": null, "bitstrings": ["11100000101", "11100000110"], "total_optimization_steps": 100, "probabilities": [0.12394866297169427, 0.7185965718646129], "optimization_time": 318.4710409641266} | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 2 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[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] = me... | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
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-0.5,
-0.5,
0.5,
0.5,
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0.5,
0.5,
1,
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1,
-2.5,
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2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
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0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
4002e7c825d905d476562dd2a4250026 | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [116, 85], "expectation_value": -5.499883762775479, "params": null, "bitstrings": ["0001011", "0101010"], "total_optimization_steps": 33, "probabilities": [1.641415669550968e-05, 0.9999151816609215], "optimization_time": 33.655946016311646} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.118507042708292) q[0];
ry(-0.025378205163912124) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5301870592080595) q[2];
h q[3];
ry(-1.5175118545593271) q[3];
ry(-3.136360018442798) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(0.01375238636405611) q[4];
cx q[2], q[4];
ry(... | 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",
"IZIIIZI",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII"
] | [
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,
-1,
-0.5,
-1,
0
] | 0.995154 | [
-1.5175118545593271,
-1.5974341158562466,
-1.4759827115175996,
1.5301870592080595,
1.5793160780119577,
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0.24593010025788947,
0.12738975693667637,
0.06238370915205528,
-0.03190890137464023,
0.0074460703489463344
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
2cd9688dd7e6e70fe4c6359393ef8382 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "s... | {"states": [5, 1], "expectation_value": -0.11727825980692695, "params": [[0.044000000000000004], [-0.032]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0021262473896062808, 0.0021319123606052095], "optimization_time": 2.3724865913391113} | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + 1.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(8) + -0.75 * Z(1) + 1.2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["111111110", "111111010"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2149688734959462) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.13738777750806166) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.23872743880432903) q[4];
cx q[1], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.137... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
-0.5,
0.75,
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1.75,
-0.25,
0.75,
-0.75,
1.25,
-1.25,
-1.25,
-0.5,
0.25
] | 0.970521 | [
-0.2149688734959462,
0.4265076445421939,
-0.13738777750806166,
-0.23872743880432903,
-0.3419395562464357,
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-1.5773406351566481,
-0.5398038495912184,
0.7687771176116346,
-0.2060990217587597,
-0.540792904975... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 230 |
5c8d577142051cc6578aa40532e6b2ab | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [160, 163], "expectation_value": -7.735922668799327, "params": [0.0037, -0.5747, 1.5629000000000002, -0.1433, 0.0037, 1.2985, 1.0748, -0.0005, 0.0025, 1.4174, -0.0026000000000000003, 1.7670000000000001, 0.0035, 1.7630000000000001, 0.1116, 0.7829, 0.8935000000000001, 0.056100000000000004, 0.0033, -0.5765, 1.5... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["101011100"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.022477326203741932) q[0];
rz(1.1361113631498974) q[0];
rx(1.5839875237065586) q[1];
rz(1.6423285526922164) q[1];
rx(-0.02247732620374193) q[2];
rz(2.9622352226993875) q[2];
rx(1.1173586352177383) q[3];
rz(1.7703358054199603) q[3];
rx(-0.03532431068703414) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIZZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"... | [
-0.5,
-0.5,
-0.25,
1.25,
-0.75,
-0.25,
-1.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-1.75,
-0.25,
1,
0,
0.5,
-0.25,
-0.75,
0.75,
0.75
] | 0.970498 | [
-0.022477326203741932,
-0.4346849636449984,
1.5839875237065588,
0.07153222589731986,
1.3914388959044899,
1.1173586352177385,
0.19953947862506388,
-0.03532431068703415,
1.3782077952930516,
-0.15436978163939935,
1.6625285670732382,
0.06203047059893663,
1.6017451533353833,
0.04568878772561308... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 11 |
95b1142ae8d79cc944e68dc71d440182 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [9, 15], "expectation_value": -6.370397575480722, "params": null, "bitstrings": ["110110", "110000"], "total_optimization_steps": 34, "probabilities": [0.07917139809195542, 0.8343795242741813], "optimization_time": 19.95987820625305} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIZIIZ",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
-8957677311866646714 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [0, 5], [2, 3], [1, 3], [4, 5], [0, 3], [3, 4], [4, 6], [2, 6], [0, 7], [1, 6], [0, 2], [0, 4], [0, 6], [3, 5], [5, 6], [1, 4]]} | {"states": [27, 228], "expectation_value": -0.17743360184593637, "params": [[0.0767], [-0.0707]], "bitstrings": ["11100100", "00011011"], "total_optimization_steps": 10, "probabilities": [0.004520312377562681, 0.004520312377562681], "optimization_time": 2.216799736022949} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) ... | 1 | 8 | 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": ["00011011", "11101000", "01101101", "11100100", "00101101", "11010010", "10010010", "00010111"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.4279238627116493) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.4279238627116493) q[0];
cx q[5], q[0];
cx q[0], q[2];
rz(0.4279238627116493) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(0.4279238627116493) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[5]... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IIZIIIIZ",
"IIIIIZIZ",
"IIZIZIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZZIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.469929 | [
0.4279238627116493,
-1.842002499266645e-8,
-0.5848964288477461
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 85 |
1822928551872511379 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 6, 7], [0, 1, 4, 5, 6, 7]]} | {"states": [189, 245], "expectation_value": -0.4049238602864746, "params": [[0.4776], [-0.46540000000000004]], "bitstrings": ["01000010", "00001010"], "total_optimization_steps": 50, "probabilities": [0.007265200644822511, 0.007265200644822511], "optimization_time": 2.419508457183838} | 0.08095238095238094 * (Z(0) @ Z(1)) + 0.07142857142857142 * (Z(2) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(0)) + 0.07142857142857142 * (Z(3) @ Z(1)) + 0.047619047619047616 * (Z(3) @ Z(0)) + 0.07142857142857142 * (Z(3) @ Z(2)) + 0.10476190476190475 * (Z(4) @ Z(1)) + 0.08095238095238094 * (Z(4) @ Z(0)) + 0.071428571428... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.7714285714285718, -0.7714285714285718], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.7714285714285716, "smallest_bitstrings": ["00001010", "01000010"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.16539093083612444) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.13416172924880287) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.001375833279587177) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.13416172924880287) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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];
r... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
0.08095238095238094,
0.07142857142857142,
0.047619047619047616,
0.07142857142857142,
0.047619047619047616,
0.07142857142857142,
0.10476190476190475,
0.08095238095238094,
0.07142857142857142,
0.07142857142857142,
0.08095238095238094,
0.05714285714285714,
0.047619047619047616,
0.047619047619... | 0.860594 | [
0.16539093083612444,
0.13416172924880287,
0.001375833279587177,
0.4303800680997617,
0.001436390361797634,
-0.04675309804209709,
1.572022514410245,
1.5086043571754582,
-0.9343017108328959
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -0.7714285714285718,
"target_ratio": 0.97,
"target_value": -0.7482857142857147
} | 218 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57019, 57015], "expectation_value": -19.287807447236577, "params": null, "bitstrings": ["0010000101000100", "0010000101001000"], "total_optimization_steps": 100, "probabilities": [0.13803487135549652, 0.6661905481251028], "optimization_time": 1335.319682598114} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-19.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999893, "smallest_bitstrings": ["0010000101001000"], "largest_eigenvalue": 68.00000000000023} | 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 | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
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0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 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 |
7716dc89002d46483faea00b4852bdef | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8},... | {"states": [1535, 511], "expectation_value": -14.240667214043722, "params": [[-0.0603], [0.17270000000000002]], "bitstrings": ["01000000000", "11000000000"], "total_optimization_steps": 20, "probabilities": [0.0032596975864403483, 0.0032861256445996787], "optimization_time": 2.2659249305725098} | 0.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + -4.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -4.5 * (Z(3) @ Z(7)) + -4.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(7)) + -4.0 * (Z(5) @ Z(3)) + -4.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(7)) + -3.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1538710702363164) q[0];
cx q[1], q[0];
rz(1.633602437549233) q[0];
rx(1.110710579534414) q[0];
rz(1.633602437549233) q[1];
rx(1.110710579534414) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.5247702363647635) q[2];
cx q[4], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIZII",
"IIIZIIZIIII",
"IIIZIIIIZII",
"IIIIIIZZIII",
"IIIIIIIZZII",
"IIIZIIIZIII",
"IIIIIZZIIII",
"IIIIIZIIZII",
"IIIZIZIIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZIIIZII",
"IIIZZIIIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIZIIIZIIII",
"IIZIIIIIZII",
"IIZZIIIII... | [
0.5,
-3.5,
-4.5,
-3.5,
2,
0.5,
-4.5,
-4,
0.5,
1.5,
-4,
-4,
0.5,
1.5,
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1,
1.5,
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1,
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1,
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1,
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1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.532286 | [
0.1538710702363164,
0.5247702363647635,
0.48309366240703333,
0.3565447479517452,
0.4827371326483044,
0.3387537243612188,
0.3212948894321711,
0.5963915301088328,
1.6336024375492328,
1.110710579534414
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 254 |
7d8b3d8ceec2d81b644dfcbc98592f50 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 48], "expectation_value": -3.973037742586125, "params": null, "bitstrings": ["011110", "001111"], "total_optimization_steps": 16, "probabilities": [0.07436458640658362, 0.8991243516134904], "optimization_time": 9.320793867111206} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | 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... | [
"IIIZIZ",
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1.5,
-1.5,
-1
] | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
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": -40.60460919681933, "params": [-0.5283, 0.0726, -0.431, 0.2099, -0.39780000000000004, 0.6665, -0.2545, 0.2566, 0.012100000000000001, 0.5272, -0.0414, 0.5641, 0.0577, 0.5927, -0.1061, 0.7027, -0.0024000000000000002, 0.5819, -0.027, 0.7899, 0.0028, 0.6025, 0.0063, 0.7708, 0.00580... | -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 | 3 | {"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",
"... | [
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0.5,
0.5,
2.5,
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-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 |
5728147131577783375 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 3, 4, 5, 6, 7, 9, 10, 12], [0, 11, 3, 7], [10, 11, 12, 5], [0, 1, 2, 3, 4, 5, 6, 7, 8, 12], [1, 2, 3, 4, 7, 8, 9, 10, 12], [1, 2, 6, 7, 9, 12], [0, 1, 2, 3, 4, 8, 10, 11], [1, 3, 4, 5, 8, 10, 12], [0, 1, 3, 4, 5, 10], [0, 2, 5, 6, 7, 8, 9, 10, ... | {"states": [7643, 7611], "expectation_value": -4.487477181978416, "params": [1.5715000000000001, 1.5744, 2.3886000000000003, 0.7469, 1.5078, 1.6367, 1.5997000000000001, 1.5482, 1.5681, 1.5684, 2.5223, 0.6061000000000001, 1.8459, 1.1992, 1.5879, 1.4102000000000001, 1.7416, 1.4047, 2.6845000000000003, 0.45990000000000003... | 0.1119047619047619 * (Z(0) @ Z(2)) + 0.16746031746031745 * (Z(3) @ Z(2)) + 0.20357142857142854 * (Z(3) @ Z(0)) + 0.14444444444444443 * (Z(4) @ Z(2)) + 0.09563492063492063 * (Z(4) @ Z(0)) + 0.1571428571428571 * (Z(4) @ Z(3)) + 0.14285714285714282 * (Z(5) @ Z(2)) + 0.10952380952380952 * (Z(5) @ Z(0)) + 0.2083333333333333... | 14 | 13 | 1 | {"smallest_eigenvalues": [-4.518650793650792], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.478968253968253, "smallest_bitstrings": ["0001001000100"], "largest_eigenvalue": 25.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.4552689912827628) q[0];
rz(pi/2) q[0];
ry(2.4498235318251895) q[1];
ry(1.4253755227575706) q[2];
ry(1.6914181746333328) q[3];
ry(1.683330261905469) q[4];
ry(2.4368496680758853) q[5];
ry(1.747685968816799) q[6];
ry(1.636063625370294) q[7];
ry(1.7191734880975509) 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": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIZZII",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIZIIZII",
"IIIIIIIZIIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIIIZII",
"IIIIIIZIIIIIZ",
"IIIIIIZIIZIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIZIIIIZII",
"IIIIIZIIIII... | [
0.1119047619047619,
0.16746031746031745,
0.20357142857142854,
0.14444444444444443,
0.09563492063492063,
0.1571428571428571,
0.14285714285714282,
0.10952380952380952,
0.2083333333333333,
0.1365079365079365,
0.1746031746031746,
0.16507936507936508,
0.16785714285714284,
0.12777777777777777,
... | 0.986179 | [
1.4552689912827628,
2.4498235318251895,
1.4253755227575706,
1.6914181746333328,
1.683330261905469,
2.4368496680758853,
1.747685968816799,
1.636063625370294,
1.7191734880975509,
2.7397666955146756,
0.25789846126046967,
1.4135103854079232,
1.4647419266199435,
0.07507562590008983,
0.1353613... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -4.518650793650792,
"target_ratio": 0.97,
"target_value": -4.383091269841269
} | 1 |
b2ad92d1453e889b732cbfcfd082cd41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [366, 234], "expectation_value": -23.722505128525242, "params": [[-0.0375, 0.0105, -0.0201], [0.0723, 0.0339, 0.052000000000000005]], "bitstrings": ["010010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007431428979089147, 0.00897132517962863], "optimization_time": 6.8964080810546875... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 174.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07331643645102212) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07331643645102212) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07331643645102212) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.07331643645102212) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
22.5,
11.5,
20.5,
11.5,
0.5,
4.5,
19,
7.5
] | 0.956272 | [
0.07331643645102212,
1.3672231817191602,
-1.5677865044421424,
-1.6506634873926307,
-1.5934745094891105,
1.5118818624675805,
-1.7812763995064638,
1.3284599912179063,
1.1535493641022598,
-0.3699990203531776,
-0.6428687851956907,
-0.1084779865352908,
0.6312678235710382,
-0.49023685973430714,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 500 |
5264b19f3401032e019b258a19fe08a0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.4149701121048023, "params": [[0.0368, 0.0417, 0.0603], [-0.0351, -0.0351, -0.044000000000000004]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005429921164957414, 0.0055214519359757085], "optimization_time": 3.7859442234039307... | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "10100010", "10100000", "10000010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5005925624115236) q[0];
h q[1];
ry(1.591564001118678) q[1];
h q[2];
h q[3];
ry(0.6952504778853904) q[3];
h q[4];
ry(0.6873945331184697) q[4];
h q[5];
ry(0.7975154858498489) q[5];
cx q[1], q[5];
ry(-0.7975154858498489) q[5];
cx q[1], q[5];
cx q[1], q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIZIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-1,
-1,
-0.25,
1.25,
0,
1,
0.25,
-0.25,
-1
] | 0.990522 | [
1.591564001118678,
1.5950309716996978,
1.3905009557707808,
1.3747890662369393,
-1.0011851248230472,
1.5602692576684745,
-0.47416091488479784,
0.15379816803838467,
-0.0676587155553047,
0.014497427338701935,
0.011633393811882156,
-0.04397621596557995,
-0.044092031982984496
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
5504373457290106724 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 4, 5], [0, 2, 4], [1, 3]]} | {"states": [57, 39], "expectation_value": -0.520051887557106, "params": [[0.3551], [-0.34490000000000004]], "bitstrings": ["000110", "011000"], "total_optimization_steps": 40, "probabilities": [0.037106918484282096, 0.03735839602001146], "optimization_time": 1.6226553916931152} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.0 * Z(3) + 0.16666666666666663 * Z(2) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["011000"], "largest_eigenvalue": 2.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.9507624409625913) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(0.9507624409625913) q[1];
cx q[3], q[1];
rz(-0.3412669567024782) q[3];
rx(-0.837465057327704) q[3];
h q[4];
cx q[2], q[4];
rz(0.2870339680119467) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(x1) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"IIIZIZ",
"IZIIIZ",
"IIZIII",
"IIIZII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0.16666666666666663,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666
] | 0.589441 | [
0.9507624409625913,
0.2870339680119467,
-0.34126695670247825,
1.1521267469305696,
-0.8374650573277042
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666672,
"target_ratio": 0.97,
"target_value": -1.6166666666666671
} | 133 |
bb94fc95e3d2399ab0a553ee86bc119a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6},... | {"states": [2047, 2015], "expectation_value": -6.0759028155860415, "params": [0.37270000000000003, -0.1338, -0.6827000000000001, 0.0023, 0.6699, -0.058800000000000005, -0.6749, 0.0038, -0.804, 1.7514, 0.3758, 0.0023, -0.9042, 1.737, -0.11570000000000001, 0.001, -0.9958, 1.3445, -0.0864, 0.0037, 1.0484, -0.3078, 0.2257,... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 *... | 6 | 11 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000100000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0337159858545584) q[0];
rz(1.3254802367244434) q[0];
rx(-2.7029055459339055) q[1];
rz(1.6855173930529785) q[1];
rx(-1.5643458476710366) q[2];
rz(-3.1297779369385585) q[2];
rx(-1.5261529761990706) q[3];
rz(-3.0675021690505506) q[3];
rx(-2.935345799645677) q[4];
rz... | OPENQASM 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": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.89303 | [
3.2494693213250283,
-0.2453160900704532,
3.5802797612456807,
0.11472106625808234,
-1.5643458476710368,
1.5826110434461316,
-1.5261529761990709,
1.6448868113341397,
-2.935345799645677,
2.722458642384179,
1.3536274534815813,
-1.4151687466712484,
1.3397802362892122,
1.2713440976728159,
3.25... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 500 |
bf001351f2bf5e55c043b36bf1cfc0ff | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [25, 57], "expectation_value": -1.7849341810467871, "params": [0.0021000000000000003, 0.30160000000000003, 0.30910000000000004, 0.0359, 0.39590000000000003, 0.0074, 0.3975, 0.0057, 0.4038, 0.0046, 0.31120000000000003, -0.0393, 0.0045000000000000005, 0.1645, 0.4046, 0.0015, 0.0019, 0.3095, 0.3163, 0.0397, 0.3... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(7) @ Z(2)) + ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["11000011", "10010110", "10100110", "11010010", "11000110"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) 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": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IZIIIZII",
"ZIIZIIII",
"IZIZIIII",
"ZZIIIIII",
"ZIIZIZII",
"IZIZIZII",
"ZZIIIZII",
"ZZIZIIII",
"ZZIZIZII",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
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,
-1,
-0.25,
0.125,
0,
-0.125,
-0.25,
0.125,
-0.625
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
cc7438f9c3f135fc425e5dafbb725117 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [23, 51], "expectation_value": -0.4197297949310856, "params": [[0.07390000000000001, 0.055400000000000005], [-0.08020000000000001, -0.049600000000000005]], "bitstrings": ["1101000", "1001100"], "total_optimization_steps": 10, "probabilities": [0.010727112215764063, 0.010727112215764072], "optimization_time":... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -2.0 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101000", "1001100"], "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(-0.28363337578134423) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.28363337578134423) q[2];
cx q[0], q[2];
rz(1.0081308575849182) q[2];
rx(-1.6880372877106562) q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28363337578134423) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"ZIIZIII",
"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,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.736672 | [
-0.28363337578134423,
-0.0956092508422771,
-1.97237725602297,
1.0081308575849182,
-1.6880372877106562,
0.4749848957366021,
-0.31836225207537955,
-4.3213344847686335,
-0.6870630827277984
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 340 |
6abfcea40fcfb2aee6e60541a981751a | 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": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [91, 127], "expectation_value": -0.05451661628543309, "params": [[0.0695, -0.0114], [-0.08070000000000001, -0.0241]], "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004349442542191159, 0.004402771753249156], "optimization_time": 5.130680799484253} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000100", "10000000", "10100100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
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[7], q[0];
rz(-1.0595857759622829) q[0];
cx q[7], q[0];
rz(0.6048134702058414) q[0];
rx(1.029216584893515) q[0];
cx q[7], q[6];
rz(0.6048134702058412) q[6];
cx q[7], q[6];
cx q[6], q[1];
rz(-0.097899551... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0.5,
0,
-0.25,
0.25,
0.25
] | 0.577358 | [
-1.0595857759622829,
0.6048134702058412,
-0.09789955183094325,
-0.06106895996654886,
-1.6195074235481492,
1.0292165848935153
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 157 |
9c4812199c637822f9374a6c75b38b14 | 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": 8}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"sour... | {"states": [450, 466], "expectation_value": -4.30703788775486, "params": [0.4834, 0.48550000000000004, 0.5004000000000001, 0.505, 0.5076, 0.5072, 0.3657, 0.3644, 0.4822, 0.46040000000000003, 0.058600000000000006, 0.054, -0.0035, -0.0024000000000000002, 0.48850000000000005, 0.48910000000000003, 0.0603, 0.0541, 0.4888, 0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(8) + -2.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2... | 13 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["000101101", "100100110", "100010110", "000011101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8118294489288281) q[0];
rz(0.23655409629844282) q[0];
ry(0.6832011587683738) q[1];
ry(0.8241382355356225) q[2];
ry(0.16787838469494396) q[3];
ry(0.5471136722272006) q[4];
ry(-0.006282536532213697) q[5];
ry(-0.12636362975579002) q[6];
ry(0.7818200449782345) 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": []} | [
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
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,
-2.5,
0,
0,
-0.5,
-0.5,
-0.5
] | 0.973713 | [
0.8118294489288281,
0.6832011587683738,
0.8241382355356225,
0.16787838469494396,
0.5471136722272006,
-0.006282536532213697,
-0.12636362975579002,
0.7818200449782345,
-0.2276437936549133,
0.47310819259688563,
0.31185386182277863,
0.3542366594076665,
-0.33593382997254917,
-0.3776762464746906... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
510456105094338965 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 6, 7, 10, 11], [2, 10, 4], [0, 5, 6, 9, 10], [0, 3, 4], [0, 3, 8, 10, 11], [9, 11, 5], [4, 6], [8, 1, 10], [0, 2, 3, 7], [1, 6, 8, 9, 11], [1, 2, 7, 9, 10, 11], [8, 4], [8, 9, 2, 3]]} | {"states": [2778, 3034], "expectation_value": -3.0268253204319304, "params": [[[3.1614, 0.0091], [0.9895, 0.0098], [3.1608, 0.006], [1.6183, 0.009000000000000001], [3.1618, 0.007200000000000001], [3.1617, 0.0009000000000000001], [0.3809, 0.0007], [3.0846, 0.0063], [3.1602, 0.0017000000000000001], [0.9860000000000001, 0... | 0.05 * (Z(5) @ Z(8)) + 0.05 * (Z(9) @ Z(8)) + 0.13333333333333333 * (Z(9) @ Z(5)) + 0.1 * (Z(2) @ Z(8)) + 0.1 * (Z(2) @ Z(5)) + 0.08333333333333334 * (Z(2) @ Z(9)) + 0.1 * (Z(3) @ Z(8)) + 0.1 * (Z(3) @ Z(5)) + 0.08333333333333334 * (Z(3) @ Z(9)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.5333333333333328], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4666666666666672, "smallest_bitstrings": ["010000100101"], "largest_eigenvalue": 12.000000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.242611007893861) q[0];
rz(-0.28333056617563596) q[0];
rx(0.47549464999775465) q[1];
rz(-0.2809819055050311) q[1];
rx(3.026445339675835) q[2];
rz(0.4822195007604853) q[2];
rx(2.8584136286857134) q[3];
rz(0.2077308459492609) q[3];
rx(2.9002108934300614) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZIIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIIZIIIIIZII",
"IIIIIIZIIZII",
"IIZIIIIIIZII",
"IIIZIIIIZIII",
"IIIIIIZIZIII",
"IIZIIIIIZIII",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIZIIIIZIIII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIIZIIIZII",
"IIIIIZIZI... | [
0.05,
0.05,
0.13333333333333333,
0.1,
0.1,
0.08333333333333334,
0.1,
0.1,
0.08333333333333334,
0.13333333333333333,
0.16666666666666666,
0.11666666666666667,
0.19999999999999998,
0.03333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.3,... | 0.982873 | [
3.242611007893861,
-0.28333056617563596,
0.47549464999775465,
-0.2809819055050311,
3.026445339675835,
0.4822195007604853,
2.8584136286857134,
0.2077308459492609,
2.9002108934300614,
0.3839969976904831,
3.122900014772944,
-0.39812667753746556,
0.1296724574666293,
0.09047069111192435,
3.14... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -3.5333333333333328,
"target_ratio": 0.97,
"target_value": -3.427333333333333
} | 16 |
6af884d627ee37a45c35f4c485ec07d5 | 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": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61, 1], "expectation_value": -0.05230348746211258, "params": [[0.053700000000000005], [-0.0446]], "bitstrings": ["1000010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.00830658800332993, 0.008343750809498052], "optimization_time": 2.310784339904785} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "1111110", "1101110", "1000010"], "largest_eigenvalue": 5.0} | 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];
cx q[5], q[0];
rz(-0.2129396642339767) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(-0.2129396642339767) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-1.5032141761943887) q[1];
cx q[3], q[1];
rz(-0.2129396642339767) q[1];
rx(-0.873748... | 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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(x1) q[6];
cx q[0], q[6]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
-0.25,
0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
0.5,
0.25,
-0.25,
-0.25,
0.5
] | 0.656065 | [
-0.2129396642339767,
0.823446126675711,
-1.5032141761943887,
-1.1053657754057873,
-0.24166154592351555,
-0.8737487988534467
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 173 |
9c1e6a3980f3bb1dae64cbc435fcdb47 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 6, "ta... | {"states": [115, 124], "expectation_value": -0.5207822166027863, "params": [[0.0724], [-0.0716]], "bitstrings": ["0001100", "0000011"], "total_optimization_steps": 10, "probabilities": [0.010093986298924645, 0.010093986298924646], "optimization_time": 1.3778245449066162} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + -1.5 * Z(4) + 1.0 * Z(3) + 1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["0001111", "0001100", "0000011"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0812391634231644) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.1967676096649328) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.19676760966493312) q[1];
rx(-0.9197832198265156) q[1];
rz(-1.0812391634231644) q[2];
cx q[0], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZZIIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"IIIZIII",
"ZIIIIII"
] | [
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1,
1
] | 0.644768 | [
-1.0812391634231644,
-0.1967676096649328,
-0.6115149746784305,
-0.9197832198265153
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 116 |
bb833a405e538447b0578c201863a324 | 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": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"sour... | {"states": [298, 426], "expectation_value": -5.376763590922746, "params": [[0.5623, 0.4747, 0.008700000000000001, 0.7883, 0.0045000000000000005, 0.7955, -0.0021000000000000003, 0.7932, -0.0021000000000000003], [0.8021, 0.7985, -0.0135, 0.7928000000000001, -0.0071, 0.7912, -0.0011, 0.7914, -0.0001], [0.2743, 0.2398, -0.... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(2) + -0.5 * Z(5... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["001010101", "000111100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.5267515240631017) q[0];
ry(0.7113755321440766) q[1];
ry(0.042128929782542394) q[2];
ry(0.7583998922431696) q[3];
ry(0.04768502409392336) q[4];
ry(0.8498019520314648) q[5];
ry(-0.03502091199622939) q[6];
ry(0.9149173359131871) q[7];
ry(-0.03502091199622939) q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IIZIZIIII",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
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,
0,
-1,
-0.5,
-0.5,
-1.5,
-1,
-0.5
] | 0.971715 | [
0.5267515240631017,
0.7113755321440766,
0.042128929782542394,
0.7583998922431696,
0.04768502409392336,
0.8498019520314648,
-0.03502091199622939,
0.9149173359131871,
1.253843050586624,
1.4225003847607525,
0.26085897106952105,
0.76473526255812,
-0.0030992117728395954,
0.44993607735683205,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 12 |
e9e1c3bad7671d416f508c960af260f6 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [1, 33], "expectation_value": -7.249999958339817, "params": null, "bitstrings": ["1111110", "1011110"], "total_optimization_steps": 18, "probabilities": [0.4999999958328442, 0.4999999958328442], "optimization_time": 14.997588396072388} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
03ff3a7533d396b93efc645d4aae3cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [454, 244], "expectation_value": -14.024717576918759, "params": [[0.033600000000000005, -0.003, 0.0164], [-0.038400000000000004, -0.0238, -0.030000000000000002]], "bitstrings": ["000111001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004743379531382935, 0.005236050327832423], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.10304971759109) q[0];
rz(-pi) q[0];
ry(-0.24410310415688244) q[1];
rz(-pi) q[1];
h q[2];
ry(8.240891103426156) q[2];
cx q[2], q[1];
ry(22.223176400538815) q[1];
cx q[2], q[1];
ry(-13.10126796190722) q[1];
ry(12.694351918652945) q[2];
rz(-pi) q[3];
ry(-2.5393297900... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20,
14,
19,
16.5,
5.5,
5.5,
14,
2,
0.5
] | 0.979637 | [
-4.236258050817545,
8.240891103426156,
-44.44635280107763,
10.92177445155632,
23.78718800876833,
29.079093892187462,
-26.20253592381444,
25.38870383730589,
-6.828198545345845,
0.9101744701734394,
0.6023915406110187,
0.10875931289913231,
0.8269743797419378,
-0.03591519098931931,
0.0849196... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 128 |
6b7ed53a34b4dd2aa2503ba0aafc7221 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [25, 1], "expectation_value": -0.15307026632392015, "params": [[-0.0473], [0.0604]], "bitstrings": ["100110", "111110"], "total_optimization_steps": 10, "probabilities": [0.017152207341520957, 0.01743673161717324], "optimization_time": 2.3639681339263916} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.00277685182702987) q[1];
cx q[2], q[1];
rz(0.0027768518270301357) q[2];
rx(1.5696210211582238) q[2];
h q[3];
cx q[3], q[0];
rz(0.00277685182702987) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0019952943025770145) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[2], q[1];
rz(x0) q[1];
c... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IZZIII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
-0.75,
-0.75,
1,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-0.75,
0.5,
0.5,
0.5
] | 0.735473 | [
0.00277685182702987,
1.1759267912363337e-7,
-0.17998381122439663,
0.0019952943025770145,
1.5707941432274504,
-1.5708341891253215,
1.5696210211582238
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 237 |
1052590213244010121 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [1, 3], [0, 1], [1, 4], [1, 2]]} | {"states": [24, 21], "expectation_value": -1.5965174735152907, "params": null, "bitstrings": ["00111", "01010"], "total_optimization_steps": 27, "probabilities": [0.026319759974166395, 0.7777147596852109], "optimization_time": 20.536746501922607} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.7583550571742536) q[0];
h q[1];
ry(-0.4361961165134865) q[1];
h q[2];
ry(0.7583550571742536) q[2];
h q[3];
h q[4];
cx q[4], q[1];
ry(0.4361961165134865) q[1];
cx q[4], q[1];
ry(-0.13854880887895255) q[1];
cx q[3], q[1];
ry(0.13854880887895255) q[1];
cx q[3]... | 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[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZZIII",
"IZIIZ",
"ZIIZI",
"IZIZI",
"IIIZZ",
"IIZZI",
"ZIIII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.971566 | [
-0.872392233026973,
1.4058844315092733,
-0.2770976177579051,
1.516710114348507,
-1.1870455031477571,
0.07931640082266024,
-0.31535158291827176,
0.1063275426854823,
-0.7175260789765857,
0.05466986560700217,
-0.0435753208876368,
0.2980873905253021,
-0.4868556647110525,
0.41534246513562734,
... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 18 |
66b128262b8b8ee59605a98d8b63bbdd | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -17.95322228488168, "params": [0.5177, -0.7372000000000001, -0.5072, 0.6378, -0.5283, 0.8570000000000001, -0.0785, 1.0874000000000001, -0.5175000000000001, 0.26430000000000003, -0.5735, 0.34450000000000003, 0.0067, 0.9068, -0.00030000000000000003, 0.9985, -0.0036000000000000003... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + -1.5 * Z(4) | 6 | 7 | 2 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6741509527557863) q[0];
rz(1.180181324857263) q[0];
rx(-0.677201631943732) q[1];
rz(2.270348142888958) q[1];
rx(-0.67869283016957) q[2];
rz(1.7507597624722813) q[2];
rx(-0.08788335748374992) q[3];
rz(2.254323657422198) q[3];
rx(0.12866765222860715) q[4];
rz(2.61483... | OPENQASM 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
-2,
1.5,
-2,
-1.5
] | 0.973192 | [
0.6741509527557862,
-0.39061500193763365,
-0.6772016319437321,
0.6995518160940616,
-0.67869283016957,
0.17996343567738385,
-0.08788335748374991,
0.6835273306273011,
0.12866765222860718,
1.0440338562475437,
-0.028967045105453143,
0.9676952915365993,
-0.0698180477930957,
1.176882747446405,
... | {
"n_parameters": 63,
"n_qubits": 7,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 36 |
3a47978bfb976fd6248810daacdb4903 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [562, 564], "expectation_value": -2.1065201223639125, "params": [[-0.1635], [0.17120000000000002]], "bitstrings": ["0111001101", "0111001011"], "total_optimization_steps": 20, "probabilities": [0.0022884912523340292, 0.0022884912523340297], "optimization_time": 3.1670708656311035} | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110101011", "0110000000", "0110101101", "0110010001", "0111001011", "0111001101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6566433803157805) q[0];
rz(-0.5635484037530434) q[0];
rx(-0.08458123676006576) q[1];
rz(1.1774379964221435) q[1];
rx(0.05460809018472292) q[2];
rz(-0.2485327778063438) q[2];
rx(2.1111802145115894) q[3];
rz(0.24582046501630292) q[3];
rx(0.23032023843005026) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIII"... | [
-0.5,
1,
-0.5,
0.5,
-1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
-0.16666666666666666,
1,
-2,
1,
2,
0.5,
0.5,
0.5,
0.8333333333333334,
-0.3333333333333333,
-0.3333333333333333
] | 0.972111 | [
1.6566433803157805,
-0.19670393659137253,
-0.08458123676006576,
1.1774379964221435,
0.05460809018472292,
-0.2485327778063438,
2.1111802145115894,
0.24582046501630292,
0.23032023843005026,
0.31345605388271675,
1.0081605341475985,
-0.16074160645590554,
0.020028144123884657,
0.288359995550519... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -6.666666666666666,
"target_ratio": 0.97,
"target_value": -6.466666666666666
} | 34 |
ea6f28b1d52734982303edc3e4a649bb | 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": 2}, {"source": 2, "target": 5}, ... | {"states": [112, 120], "expectation_value": -3.059748126637553, "params": [[[0.0577, -0.0059, 0.0014, 0.0021000000000000003], [0.0102, 0.7751, 0.3684, -0.4693], [0.5920000000000001, -0.0167, -0.382, -0.09730000000000001], [0.1395, -1.1464, 0.4454, -1.1297000000000001], [0.8018000000000001, 0.8302, 0.6768000000000001, 1... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["00011011", "10000111"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IIZIZIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
0.125,
0.125,
-0.125,
-0.25,
-0.25,
-0.75,
-0.75
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
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": [125, 252], "expectation_value": -8.485941580940697, "params": [[[-1.5312000000000001, 1.631], [-0.0034000000000000002, 1.5105000000000002], [-0.0021000000000000003, -0.004], [-0.0025, 0.4092], [-0.0024000000000000002, -0.0023], [-0.0019, 0.0017000000000000001], [-0.6196, 0.9501000000000001], [-0.6713, 0.671... | -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) | 15 | 8 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"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 |
377005dfec1c163ab441ba043a0a56a3 | 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": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 8}, {"weight": 2, "source": 2, "target": 3}, {"weight": ... | {"states": [350, 346], "expectation_value": -101.1971595860815, "params": [0.15710000000000002, 0.21450000000000002, 0.16160000000000002, 0.1865, 0.5982000000000001, -0.0077, 0.5880000000000001, 0.0021000000000000003, 0.1582, 0.0369, 0.33080000000000004, 0.0102, 0.5940000000000001, 0.0106, 0.5959, -0.0099, 0.1892, -0.2... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.19562525146810342) q[0];
rz(1.9182961093461515) q[0];
rx(0.6824596528288646) q[1];
rz(1.3848845820591666) q[1];
rx(-0.0028908710382954082) q[2];
rz(1.4417525746546467) q[2];
rx(0.7141676120088357) q[3];
rz(1.8208694294451835) q[3];
rx(0.05880612250154007) 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", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIZIIZIII",
"IIIZIZIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"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,
14.5,
-3.5,
20,
-4.5,
6.5,
19,
23,
9,
20,
4.5
] | 0.97065 | [
0.1956252514681034,
0.34749978255125463,
0.6824596528288646,
-0.18591174473573047,
-0.0028908710382954082,
-0.12904375214025038,
0.7141676120088355,
0.25007310265028704,
0.058806122501540076,
-0.12999755815416697,
0.7423939439301578,
0.07018470505645776,
0.5909418571180356,
0.0191582293647... | {
"n_parameters": 97,
"n_qubits": 10,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 55 |
9994d9c0864e8ab88d6d9169e088b46e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [250, 122], "expectation_value": -56.360824347338045, "params": [0.38680000000000003, 0.20620000000000002, 0.7908000000000001, 0.0064, 0.7831, -0.0035, 0.7851, -0.0014, 0.7908000000000001, 0.0616, 0.16840000000000002, 0.37360000000000004, 0.7875000000000001, 0.0916, 0.3814, 0.2194, 0.39, 0.1716, 0.7884, 0.00... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 18 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
11.5,
14,
10,
17.5,
13.5,
1,
10.5
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 50], "expectation_value": -3.4963974346641984, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 25, "probabilities": [0.06635223124592704, 0.9303259840124461], "optimization_time": 17.713493824005127} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | 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[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... | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
de8cc468e237fc0b01b4910fa798084b | 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": 4}, {"capacity": 2, "source": 0, "target": 10}, {"capacity": 1, "source": 1, "target"... | {"states": [0, 448], "expectation_value": -6.554199603149579, "params": [0.0036000000000000003, 0.0063, 0.0019, 0.7492000000000001, 1.2525000000000002, -0.0036000000000000003, 1.284, 0.0029000000000000002, 1.2970000000000002, -0.0, 0.0024000000000000002, 0.0012000000000000001, -0.0025, 0.0092, -0.0027, 0.00210000000000... | -0.5 * (Z(0) @ Z(5)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(8)... | 4 | 11 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000000", "11000101000", "11000100000", "11000111000", "10000100000", "11000111111", "11010111111", "11000110000"], "largest_eigenvalue": 7.... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.08928848904069193) q[0];
rz(1.3024873879601682) q[0];
rx(-0.07425840168075032) q[1];
rz(2.341618132580532) q[1];
rx(1.2511748455520941) q[2];
rz(1.420375252426492) q[2];
rx(1.7034920438017886) q[3];
rz(1.6843902276527283) q[3];
rx(2.78651119300605) q[4];
rz(1.258... | OPENQASM 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": []} | [
"IIIIIZIIIIZ",
"IIIIIIIIZIZ",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIIZIZIIIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIIZIIZIIII",
"IIZIIZIIIII",
"IIZIIIIIZII",
"ZIZIIIIIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IZZIIIIII... | [
-0.5,
0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
0,
-0.75,
-0.5,
1,
0,
0,
1,
-0.25,
0.5
] | 0.98735 | [
-0.08928848904069195,
-0.2683089388347289,
-0.07425840168075033,
0.7708218057856357,
1.251174845552094,
-0.15042107436840477,
1.7034920438017886,
0.11359390085783197,
2.78651119300605,
-0.31265339862410096,
0.010795002131368761,
-0.03219171598174031,
-0.015649158345353104,
0.16165032424168... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 12 |
1d579e37a468bd880bcb1092848cc668 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [53, 39], "expectation_value": -5.123520434733628, "params": null, "bitstrings": ["1001010", "1011000"], "total_optimization_steps": 28, "probabilities": [0.10938285524458996, 0.1093833937372856], "optimization_time": 22.732858419418335} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1111110", "1011010", "1111100", "1011000", "1111010", "1001010", "1111000", "1101000", "1001000", "11010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | 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",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.5,
0.75,
-1,
-1,
-1,
-1,
-1,
-0.25,
0.25,
-2,
0,
2,
1
] | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
b35471d22a6edeecd15d92b336fcafe1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -17.757038466045124, "params": [[[-0.042300000000000004, -0.0105], [0.004, -0.0038], [0.007500000000000001, 0.0023], [0.0083, 0.0025], [0.0137, 0.0026000000000000003], [0.0033, 0.0027], [0.0079, 0.0027], [0.0064, 0.0028], [0.0043, -0.0058000000000000005], [0.003, -1.1169], ... | -0.25 * (Z(0) @ Z(7)) + -2.0 * (Z(1) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(10)) + -1.5 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(8)) + -1.25 * (Z(5) @ Z(3)) + -1.25 * (Z(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.16476873556480792) q[0];
ry(-0.15628319680806652) q[1];
ry(-0.1365944721814562) q[2];
ry(-0.15058910967641487) q[3];
ry(-0.024422638173255396) q[4];
ry(-0.09482978590313201) q[5];
ry(-0.3274866484582577) q[6];
ry(-0.06794741207004673) q[7];
ry(-0.0342486409573097... | OPENQASM 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": []} | [
"IIIZIIIIIIZ",
"IIIIIIZIIZI",
"IIZIIIIIIZI",
"ZIIIIIZIIII",
"ZIIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIZIIIIZIII",
"ZIIIIIIZIII",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZIII",
"IZIZIIIIIII",
"IZZIIIIII... | [
-0.25,
-2,
-0.25,
-0.25,
-0.75,
0.5,
-1,
-0.75,
-1,
-1,
-1.5,
-1.25,
-1.25,
-1.25,
-1,
-2,
-0.5,
-0.5,
-1,
-0.25,
0.5,
-0.25,
-0.25,
2.5,
-4,
1,
-1.25,
1.75,
-1,
0.25,
0.75
] | 0.971196 | [
-0.16476873556480792,
-0.15628319680806652,
-0.1365944721814562,
-0.15058910967641487,
-0.024422638173255396,
-0.09482978590313201,
-0.3274866484582577,
-0.06794741207004673,
-0.03424864095730971,
0.03313634199672088,
-0.02502988250892489,
-0.08105916183709533,
-0.002901189744641982,
0.020... | {
"n_parameters": 72,
"n_qubits": 11,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 54 |
79d3baa57f55efbf39bb649ed9c5379a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 16, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -38.09753120704967, "params": [[0.024800000000000003, 0.0098, -0.0059, -0.006], [-0.0733, -0.08510000000000001, -0.0741, -0.06330000000000001]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.011074051743524469, 0.013629653768755... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 172.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06019536858721394) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06019536858721394) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06019536858721394) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.06019536858721394) q[2];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16,
8.5,
12.5,
21,
11,
0,
6,
20,
9.5
] | 0.972463 | [
-0.06019536858721394,
1.6523756648212227,
-0.7108216982792479,
0.8814284358268444,
0.9909462680142944,
0.5433054171169999,
-0.8478987691488098,
-0.5280476496996057,
1.5778479215622883,
-0.8229545194401827,
-0.37766698167741486,
0.08371241546081379,
0.4165477723081761,
-0.5491489945232563,
... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 81 |
74dc5f2df918e077683eb641a6f549fe | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [37, 45], "expectation_value": -6.505382715354629, "params": [[-0.0014, -0.0045000000000000005, 0.6407, 0.0032, 0.6901, 0.6962, -0.0044, 0.6358], [-0.0031000000000000003, -0.0025, 0.637, 0.004, 0.22390000000000002, 0.22240000000000001, -0.002, 0.641], [-0.0049, 0.0109, 0.6331, 0.0002, 0.7037, 0.7022, 0.0037,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(3) ... | 10 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["11010010"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.13053463976525695) q[0];
ry(0.034407487684074554) q[1];
ry(0.7009075874433542) q[2];
ry(0.06814128157337244) q[3];
ry(0.8055120090868627) q[4];
ry(0.8871809277307571) q[5];
ry(-0.06088767839788985) q[6];
ry(0.5098610839458453) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII"
] | [
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,
-2,
-1,
-1,
-1.5,
-1,
-1,
-0.5
] | 0.973249 | [
0.13053463976525695,
0.034407487684074554,
0.7009075874433542,
0.06814128157337244,
0.8055120090868627,
0.8871809277307571,
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0.5098610839458453,
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-0.01847163969726416,
0.4188169149111784,
-0.05138212468397027,
-0.12335154383813773,
0.01892693748886... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 10 |
cf63e2458a0741acd2ef8c128602eb3a | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1658, 1722], "expectation_value": -2.9504121480728256, "params": [[[0.1526, -0.1583, 0.0054, 0.003], [0.0309, -0.0328, 0.8825000000000001, 0.0964], [0.8967, -0.49110000000000004, 0.899, -0.7156], [0.8932, 0.619, 0.47000000000000003, -0.0137], [0.8992, 0.6282, 0.891, 0.761], [0.29960000000000003, -0.6276, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 11 | 11 | 2 | {"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, -3.8125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00101000101", "00100011100", "00100010110", "00100010101", "01000010110", "01001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) q[0];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
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,
-0.0625,
-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,
0.1... | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
71484c647e22c5f994bcf8c31a14b220 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [0, 112], "expectation_value": -4.430888372566295, "params": [-0.0009000000000000001, 0.2919, 0.6911, -0.0028, 0.7058, -0.006, 0.7103, -0.0048000000000000004, 0.132, -0.233, 0.07830000000000001, 0.1481, 0.5007, -0.1207, 0.6264000000000001, -0.0748, 0.004200000000000001, 0.2089, 0.6975, -0.0055000000000000005... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["10001111", "10101110", "11101100", "11001101"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.011283481139266137) q[0];
rz(1.8826267914490584) q[0];
rx(0.9513217446928515) q[1];
rz(1.4370927009485) q[1];
rx(0.7035759414347609) q[2];
rz(1.5215893449459994) q[2];
rx(1.5200643557677227) q[3];
rz(1.5679738609995582) q[3];
rx(-0.1777930261984752) q[4];
rz(1.1761... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIZII",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIZIIZI",
"IIZIIIZI",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
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,
-2,
-0.5,
-1.5,
-2,
-1,
-1,
-1
] | 0.970263 | [
0.011283481139266138,
0.31183046465416187,
0.9513217446928515,
-0.13370362584639667,
0.703575941434761,
-0.0492069818488966,
1.520064355767723,
-0.0028224657953385135,
-0.17779302619847517,
-0.3946141137452574,
0.22472478750677127,
0.35807542301392026,
0.4128986976303328,
0.206642289052353... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 12 |
7042491677619850305 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3], [0, 3, 4, 5, 6], [1, 5], [0, 2, 3, 7], [6, 7]]} | {"states": [62, 61], "expectation_value": -1.7297425613224575, "params": null, "bitstrings": ["11000001", "11000010"], "total_optimization_steps": 54, "probabilities": [0.05097362108959877, 0.8466718556605765], "optimization_time": 81.75699019432068} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7833333333333337, -1.7833333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.7833333333333332, "smallest_bitstrings": ["01001001", "11000010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2181521490188703) q[0];
h q[1];
ry(-0.43674424464642425) q[1];
h q[2];
ry(0.40590414678047476) q[2];
h q[3];
ry(1.3805364216590492) q[3];
h q[4];
ry(0.25913923472014627) q[4];
h q[5];
cx q[5], q[1];
ry(0.43674424464642425) q[1];
cx q[5], q[1];
ry(-0.306775... | 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(1.3266) 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[... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIII... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.13333333333333333,
0.05,
0.05,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.29166666666666663,
0.16666666666666663,
0.3916666666666... | 0.97372 | [
1.3805364216590492,
-0.8734884892928485,
0.9853548924903937,
-0.9690781865085561,
1.0713749550973477,
-0.6135513571247084,
0.5084240491445828,
-0.3339585943442499,
0.33546964738927953,
-0.4035452962355485,
-0.4218105185535468,
0.8118082935609495,
0.2215361340770857,
0.41717582025582023,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -1.7833333333333337,
"target_ratio": 0.97,
"target_value": -1.7298333333333336
} | 8 |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -0.9530758434966993, "params": [[0.059800000000000006, 0.0555, 0.0568, 0.0742], [-0.0636, -0.048, -0.038900000000000004, -0.0521]], "bitstrings": ["110100", "111000"], "total_optimization_steps": 10, "probabilities": [0.025874845766778145, 0.02587484576677819], "optimization_tim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
0
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
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-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
a617d44a0e23e197ea031a5e0c78581c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -12.955071894751786, "params": [0.0031000000000000003, -0.11710000000000001, -0.0036000000000000003, -0.1148, 0.0047, -0.1462, 0.0032, -0.1457, 0.0015, -0.1505, 0.0049, -0.14980000000000002, 0.0013000000000000002, -0.1379, 0.0016, -0.1472, 0.0038, -0.1472, -0.0028, -0.1477, 0.003... | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @... | 5 | 10 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.037531659889395476) q[0];
rz(0.18803132479075657) q[0];
rx(0.069884462724163) q[1];
rz(1.041360565935543) q[1];
rx(-0.039123129404561724) q[2];
rz(-0.7325016615982598) q[2];
rx(0.06988446272416299) q[3];
rz(1.0196013877167687) q[3];
rx(-0.022615113653527495) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIZZIIIII"... | [
-0.25,
-1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
2.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-2,
1,
0.5,
1.75,
-0.25,
1,
0,
-1.5
] | 0.983194 | [
0.037531659889395476,
0.4163815102787586,
0.06988446272416299,
0.5867525179136751,
-0.03912312940456172,
-0.5187914974032167,
0.742040261088507,
-0.02261511365352749,
-0.7288417945968432,
-0.0033134618253322055,
0.6827412917165196,
0.6852408931746257,
0.04434464253219436,
0.362140031035623... | {
"n_parameters": 44,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 10 |
e22eadddb25b961e8e64ef2d7ba77159 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [120, 4088], "expectation_value": -23.770862057185173, "params": [[[-0.0026000000000000003, 0.0012000000000000001], [-0.0025, 0.0071], [-0.0027, 0.0056], [-0.0022, 0.0046], [1.4722000000000002, 0.001], [0.2737, 0.0009000000000000001], [0.0016, 0.0085], [-0.0018000000000000002, 0.0043], [1.7102000000000002, 0... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -1.... | 2 | 12 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.05972236612818284) q[0];
rz(0.0563043078927741) q[0];
rx(-0.04289221853967043) q[1];
rz(0.1079964398477764) q[1];
rx(-0.0014616168521224722) q[2];
rz(0.3601987215649738) q[2];
rx(0.04311045185457361) q[3];
rz(0.033450740947734384) q[3];
rx(0.2883939915860969) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIII... | [
-2,
-2.5,
-2.5,
-2,
-2,
-2.5,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.974342 | [
-0.05972236612818284,
0.0563043078927741,
-0.04289221853967043,
0.1079964398477764,
-0.0014616168521224722,
0.3601987215649738,
0.04311045185457361,
0.033450740947734384,
0.2883939915860969,
-0.266186812343249,
-0.2933302585358711,
1.075793224779758,
0.18846141636004468,
-0.193592400423135... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 17 |
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