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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2353079fa286d356ce3844ef645b5899 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 1], "expectation_value": -1.090397326161539, "params": [[-0.0507, -0.055900000000000005, -0.0695], [0.0528, 0.0651, 0.0699]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.008975789489499125, 0.009132485208909297], "optimization_time": 5.378702163696289} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
4243f02c605bbdbed3a1b13ecb63eadb | 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": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [256, 320], "expectation_value": -26.407200847416835, "params": [-0.0029000000000000002, -0.5201, -0.0029000000000000002, 0.001, 0.0023, -0.5740000000000001, 0.0023, 0.0056, 0.8064, 0.07250000000000001, 0.8055, 0.0055000000000000005, 0.0022, -0.5760000000000001, 0.0022, 0.006, 0.8002, 0.0746, 0.8013, 0.0038,... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(9)) + 2.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(9)) + -0.75 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["11010111111"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.06870354953118415) q[0];
rz(-0.6757904948249251) q[0];
rx(-0.06759582632864572) q[1];
rz(-0.7664898096289718) q[1];
rx(1.3910136882041804) q[2];
rz(0.22404754836777396) q[2];
rx(-0.03151058959967032) q[3];
rz(-0.48554377761286815) q[3];
rx(1.0304975957702986) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IZIIIZIIIII",
"IZIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIIIIZIIIZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"IIZIIZIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZIIIIIIZI",
"IIIIIZIZI... | [
-0.25,
-1.5,
-1,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
2.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1,
-1,
-0.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-1,
-1.5,
-1,
-0.75,
-1.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-1,
-1,
-0.75,
-0.25,
-0.75... | 0.971867 | [
-0.06870354953118415,
-0.754230916043876,
-0.0675958263286457,
-0.6595827407875207,
1.3910136882041806,
0.23420118580921093,
-0.03151058959967032,
-0.45676208487980874,
1.0304975957702986,
0.07230125412842586,
-0.5679611053651955,
-0.2287637917624824,
0.025508019559410025,
-0.7802302063612... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 12 |
db350f4c6cc12fe7a27604bdeac9089b | 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}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [0, 1], "expectation_value": -8.655678050444996, "params": [0.0013000000000000002, -0.1778, 0.0033, 0.3171, 0.0054, 0.2265, 0.0028, 0.3025, 0.0008, 0.30720000000000003, 0.0022, 0.30970000000000003, 0.018600000000000002, 0.11670000000000001, 0.4102, -0.0018000000000000002, 0.0057, -0.2457, -0.0001, 0.3173, -0... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 4 | 8 | 4 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4275268824029438) q[0];
h q[1];
ry(-1.5652080334247682) q[1];
ry(-0.03368310796321593) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5652080334247682) q[3];
h q[4];
ry(-1.6531305993622973) q[4];
h q[5];
ry(-1.5652080334247682) q[5];
h q[6];
h q[7];
cx q[7], 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
-0.25,
1.5,
-0.25,
-0.75,
-1.75,
-0.25,
0.25,
0.25,
-0.5,
0,
1.25,
0.75
] | 0.972524 | [
-1.5652080334247682,
-0.8550537648058876,
1.3145543956205288,
-0.8916018977800446,
-1.5187606997036145,
-1.6531305993622973,
0.19570433574163723,
-0.335754560642802,
-0.0367050382561322,
-0.08837873644366767
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 10 |
-503644790904809796 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 4, 5, 9, 10, 11], [1, 3, 4, 8, 9], [1, 3, 5, 8, 9], [0, 2, 3, 7, 11], [0, 11, 4, 5], [1, 4, 5, 8, 9], [1, 4, 6, 7, 8], [9, 7], [0, 2, 4, 5, 9], [8, 0, 2], [0, 9, 4, 6], [10, 3, 6], [0, 1, 6, 8, 9, 10, 11]]} | {"states": [491, 507], "expectation_value": -3.147255748554196, "params": [0.0025, 0.0025, 3.1439000000000004, 3.1449000000000003, -0.0026000000000000003, -0.0026000000000000003, 1.5388000000000002, 1.5978, 1.5670000000000002, 1.5693000000000001, 1.5775000000000001, 1.5593000000000001, 1.5749, 1.572, -0.8847, -0.8827, ... | 0.023809523809523808 * (Z(1) @ Z(4)) + 0.07380952380952381 * (Z(6) @ Z(4)) + 0.1738095238095238 * (Z(6) @ Z(1)) + 0.07380952380952381 * (Z(7) @ Z(4)) + 0.12380952380952381 * (Z(7) @ Z(1)) + 0.20714285714285713 * (Z(7) @ Z(6)) + 0.07380952380952381 * (Z(11) @ Z(4)) + 0.1976190476190476 * (Z(11) @ Z(1)) + 0.2571428571428... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0690476190476197, "smallest_bitstrings": ["111000000100"], "largest_eigenvalue": 12.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.025787626051146092) q[0];
rz(0.0495620011694683) q[0];
ry(3.111214539136435) q[1];
ry(-0.031554342198539635) q[2];
ry(1.4495107814377481) q[3];
ry(1.6866987056406975) q[4];
ry(1.4844562279039195) q[5];
ry(1.4344717009383579) q[6];
ry(-0.9015987482297156) 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": []} | [
"IIIIIIIZIIZI",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIZI",
"ZIIIIZIIIIII",
"ZIIIZIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIIZZI",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIIZZIII",
"IIIIIIIIZIZI",
"IIIIIZIIZ... | [
0.023809523809523808,
0.07380952380952381,
0.1738095238095238,
0.07380952380952381,
0.12380952380952381,
0.20714285714285713,
0.07380952380952381,
0.1976190476190476,
0.2571428571428571,
0.1738095238095238,
0.023809523809523808,
0.047619047619047616,
0.023809523809523808,
0.023809523809523... | 0.975452 | [
0.025787626051146092,
3.111214539136435,
-0.031554342198539635,
1.4495107814377481,
1.6866987056406975,
1.4844562279039195,
1.4344717009383579,
-0.9015987482297156,
1.4582187101730233,
0.01668833511506424,
1.7160348903641236,
1.4987127194018937,
0.0991240023389366,
0.13487521348555828,
-... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -3.2,
"target_ratio": 0.97,
"target_value": -3.104
} | 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": -26.951653216490552, "params": [[0.027200000000000002, 0.0023, -0.0161, 0.0097], [-0.06770000000000001, -0.057800000000000004, -0.0388, -0.0419]], "bitstrings": ["000111001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0073291211145099225, 0.008563610740... | 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 | 4 | {"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 |
5d24358bf33b0fea3dae672970cf9db0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 12, "source": 0, "target": 4}, {"weight": 19, "sourc... | {"states": [465, 401], "expectation_value": -56.79473721605645, "params": [[[1.3050000000000002, -0.0016], [0.897, 0.0916], [0.7173, -0.28350000000000003], [-0.0029000000000000002, 0.9519000000000001], [1.3059, 0.0018000000000000002], [-0.0021000000000000003, 0.7091000000000001], [0.08850000000000001, 0.5877], [-0.0022... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + -1.0 * Z(1) + 4.5 * Z(0) + 2.5 * Z(2) + -14.5 * Z(3) + -5.5 * Z(5) + -0.5 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["001101110"], "largest_eigenvalue": 78.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.2203442762135228) q[0];
ry(3.052960367395124) q[0];
rz(1.8133674944976512) q[0];
rz(1.3201688740800668) q[1];
ry(2.5716751965883096) q[1];
rz(-1.810218850304879) q[1];
rz(0.948215878433798) q[2];
ry(0.07384876372832111) q[2];
rz(-0.9885785503838602) q[2];
rz(-1.20... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-1,
4.5,
2.5,
-14.5,
-5.5,
-0.5,
-3,
-7.5,
1.5
] | 0.975503 | [
1.6308181065446883,
-0.030402516210313535,
1.2682153731452859,
-0.1385789295374975,
-0.08617894069587187,
-0.28740802012674366,
-0.08822964803715011,
0.7254042575408517,
1.3375641264513025,
0.01671843799319668,
-0.08463636491616616,
0.915457467342591,
0.38795701749403194,
0.296793905051336... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 16 |
0b5f0e96c66f1fe8afca6f37edd06ab2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3413, 3445], "expectation_value": -3.2893782029564855, "params": [[[0.6625, 0.0149, 0.0023, 0.0017000000000000001], [0.17550000000000002, -0.014400000000000001, 0.657, 0.0006000000000000001], [0.0039000000000000003, -0.35550000000000004, 0.0009000000000000001, -0.3569], [0.3361, -0.0053, 0.3373, 0.0027], [-... | 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)) + 0.0625 * (... | 12 | 12 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1500635382209095e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(1.1500635382209095e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(1.1500635382209095e-08)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
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,
0.0... | 0.818182 | [
1.1500635382209095e-8,
-1.5707963292766471,
1.570796321214452,
1.5707962870051804,
-1.5707962808666522,
1.5707962941657407
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 171 |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [56, 44], "expectation_value": -3.989065530699692, "params": null, "bitstrings": ["1000111", "1010011"], "total_optimization_steps": 31, "probabilities": [0.060236547583049714, 0.8645374070419694], "optimization_time": 28.584506034851074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.7532081731376037) q[0];
rz(0.5021335439547281) q[0];
rx(0.3126188629060858) q[1];
rz(-0.12394458583901447) q[1];
rx(0.08258886198853632) q[2];
rz(-0.2893009783452398) q[2];
rx(2.8985650222769554) q[3];
rz(0.47722660210837153) q[3];
rx(-2.8865335383741417) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIZII",
"ZZIIIII",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-0.5
] | 0.974902 | [
2.7532081731376037,
0.4768043004801116,
0.31261886290608576,
-0.13830675618383226,
0.08258886198853632,
-0.4806829037066563,
2.8985650222769554,
0.5468943038080125,
3.3966517688054445,
0.42667847019125166,
0.07043632060439067,
-0.7888121402538777,
0.07867698366803132,
0.8529985987454796,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 16 |
a18c3f06d92936730b6359d47cfc0d48 | 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": [349, 333], "expectation_value": -104.47453023316467, "params": [0.1553, 0.15610000000000002, -0.0054, -0.0041, 0.5017, 0.4978, 0.0936, 0.0981, 0.5004000000000001, 0.49660000000000004, 0.0898, 0.0853, 0.2617, 0.2569, 0.4922, 0.4884, 0.4888, 0.47990000000000005, 0.0012000000000000001, 0.0097, 0.4918, 0.5001, ... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(0) @ Z(7)) + 6.5 * (Z(10) @ Z(7)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(9) @ Z(10)) + 0.5 * Z(3) + 9.5 * Z(2) + 9.5 * Z(4) + 1.5 * Z(5) + 1... | 14 | 11 | 3 | {"smallest_eigenvalues": [-124.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010110010"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.33572704598551856) q[0];
rz(0.9095344809284125) q[0];
rx(0.060641267889702755) q[1];
rz(-0.1776778357231044) q[1];
rx(1.7241791349814999) q[2];
rz(0.29283934215226326) q[2];
rx(0.0121108877807373) q[3];
rz(0.5093959413199902) q[3];
rx(1.5090782214124052) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIIIZIIIZII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IIIZIIIIIIZ",
"ZIIZIIIIIII",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
0.5,
9.5,
9.5,
1.5,
14,
7,
22,
4,
15.5,
-4,
-10.5
] | 0.982048 | [
0.3357270459855186,
0.5304797572957836,
0.060641267889702755,
-0.1776778357231044,
1.7241791349814999,
0.29283934215226326,
0.0121108877807373,
0.5093959413199902,
1.5090782214124052,
0.31231415136082386,
0.16087212971057724,
0.7011652932878976,
-0.1120764402895706,
-0.06464020201530828,
... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -124,
"target_ratio": 0.97,
"target_value": -120.28
} | 19 |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [5, 1], "expectation_value": -0.8531655603936796, "params": [[-0.0323, -0.07060000000000001], [0.015000000000000001, 0.06570000000000001]], "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0059012867931115135, 0.006159449601888244], "optimization_time": 3.3938128948... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.06974099551047935) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5890406829503434) q[1];
rz(-pi) q[2];
ry(-0.0021096615779952286) q[2];
ry(-0.008898726702413838) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.15495898986146583) q[4];
h q[5];
h q[6];
ry(-1.5890406829503434) q[6];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZZII",
"IIIZZIII",
"IZIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
2.75,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-1.5,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
0.75,
1
] | 0.995387 | [
1.4393368061031235,
-1.4512118663580789,
-1.5890406829503434,
-1.7277524128220563,
-1.5364768252188215,
-1.6101287227830505,
-0.07285832630814085,
-0.09968692985267691,
-0.03243337430224796,
0.003994192331387751,
0.0964622453811357
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 1 |
26d7f56e59bfdf48052023802b40605b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 28], "expectation_value": -0.34441672376124755, "params": [[0.051800000000000006, 0.0412, 0.0626, 0.0342], [-0.0451, -0.0315, -0.049600000000000005, -0.038]], "bitstrings": ["11001", "00011"], "total_optimization_steps": 10, "probabilities": [0.04025254493201501, 0.043036946306377624], "optimization_time... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | 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": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
06d1453a803eab917f2a75bdec826274 | connected_components | 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": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [60, 63], "expectation_value": -0.7280529062875183, "params": [[0.0745], [-0.0818]], "bitstrings": ["000011", "000000"], "total_optimization_steps": 10, "probabilities": [0.020251941516777963, 0.02120138773942698], "optimization_time": 0.9093008041381836} | -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + 1.0 * Z(0) + -1.5 * Z(3) + 1.0 * Z(1) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.440524368464655) q[0];
rz(-0.08199686231715675) q[0];
rx(-0.07601013128151535) q[1];
rz(0.14545140228604084) q[1];
rx(-0.11122855468000444) q[2];
rz(0.024776737921142995) q[2];
rx(-0.11122855468000444) q[3];
rz(-0.14117244375367316) q[3];
rx(-0.027447548700509975) ... | 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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(x1) q[1];
c... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"ZZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-2,
0.5,
-2.5,
0.5,
-1.5,
-1,
1,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.978335 | [
2.440524368464655,
-0.08199686231715675,
-0.07601013128151535,
0.14545140228604084,
-0.11122855468000444,
0.024776737921142995,
-0.14117244375367316,
-0.027447548700509975,
0.005230209223716451,
3.1683552462682085,
0.18209557394998455
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 7 |
155388a51f67e78b5cb4ef00a89a070e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [71, 85], "expectation_value": -3.4991049506313137, "params": null, "bitstrings": ["0111000", "0101010"], "total_optimization_steps": 34, "probabilities": [0.06552859477802893, 0.9338463427814478], "optimization_time": 23.44927191734314} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(3) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101010", "0111000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5552024880387824) q[0];
rz(2.173491543047642) q[0];
rx(-0.021432730878157114) q[1];
rz(1.5854448914960635) q[1];
rx(0.08647489835213272) q[2];
rz(1.4767621538449163) q[2];
rx(-0.14845667224857556) q[3];
rz(0.9389022761135877) q[3];
rx(0.7033000905919017) q[4];
rz(1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZZIII",
"IIIZZII",
"IZIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-1,
-0.5,
0,
0
] | 0.970783 | [
0.5552024880387824,
0.602695216252745,
-0.021432730878157114,
0.014648564701166138,
0.08647489835213272,
-0.09403417294998005,
-0.14845667224857556,
-0.6318940506813102,
0.7033000905919017,
-0.5231828220558223,
0.16331503638394998,
-0.06395732096708569,
0.6571705851500236,
-0.1287814249440... | {
"n_parameters": 125,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 172 |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -4.096692403969087, "params": [[0.0625, 0.052500000000000005, 0.0553], [-0.0688, -0.0531, -0.0468]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01862858815475063, 0.02768715708439064], "optimization_time": 6.723688364028931} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
6259e2b8b64788961e56db85ed516abe | 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": [361, 362], "expectation_value": -86.62787257453692, "params": [-0.0007, 1.5341, 1.4056, 0.3225, -0.0031000000000000003, 0.9686, 1.0602, 0.013900000000000001, 1.0493000000000001, 0.2564, 0.0004, 1.4020000000000001, 1.0410000000000001, 0.09390000000000001, -0.0026000000000000003, 0.9811000000000001, 1.0679, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(8) @ Z(9)) + -6.0 * Z(0) + 7.0 * Z(1) + 6.5 * Z(3) + 11.0 * Z(2) + 15.0 * Z(4) + 1.5 * Z(5) + 14.5 * Z(6) + -4.5 ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["1010010101"], "largest_eigenvalue": 116.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.10318666186813005) q[0];
rz(2.3162039037530526) q[0];
rx(1.3045349897966527) q[1];
rz(0.32984201207076347) q[1];
rx(0.03859565684750371) q[2];
rz(1.1629728243053423) q[2];
rx(1.0570107294459528) q[3];
rz(0.07644001006560681) q[3];
rx(0.7714455080033521) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-6,
7,
6.5,
11,
15,
1.5,
14.5,
-4.5,
5,
1
] | 0.972019 | [
-0.10318666186813007,
1.957764539448593,
1.3045349897966527,
0.32984201207076347,
0.03859565684750371,
1.1629728243053423,
1.0570107294459528,
0.07644001006560681,
0.7714455080033521,
0.2043358942970986,
0.11132578124795209,
1.4287697443916978,
1.0626472335697188,
0.18413540345709498,
0.... | {
"n_parameters": 88,
"n_qubits": 10,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 13 |
533fcd480a5175680493f52fe07173d6 | 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": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 37], "expectation_value": -5.4940024530007845, "params": [[0.2169], [-0.2528]], "bitstrings": ["11111110", "11011010"], "total_optimization_steps": 30, "probabilities": [0.02526760621121323, 0.02959281184459715], "optimization_time": 2.557800769805908} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.24633714219781486) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.21817790403825055) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.21817790403825055) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.75,
-1.25,
2.25,
-0.25,
-1,
-2.25,
-0.25,
0.5,
-1.5,
-1,
3,
0.5,
1
] | 0.970078 | [
0.24633714219781486,
0.21817790403825055,
0.199992130079758,
0.1953546771601644,
-0.14097260777717124,
-0.07642561716032488,
0.30474345781691703,
0.6989900081918277,
0.16619846372059824,
-0.778933966788156,
-0.9833885279660904,
1.522204508836878,
0.4784825986818201,
0.33645844578145834,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 312 |
b5518f36afa4dbdb0f95543c602afa47 | 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": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [46, 110], "expectation_value": -46.25246495705056, "params": null, "bitstrings": ["111010001", "110010001"], "total_optimization_steps": 100, "probabilities": [0.151383096211798, 0.23478932273981884], "optimization_time": 185.93269109725952} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.286325205538855) q[0];
ry(0.1953118769536368) q[0];
rz(-2.3052829769044867) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.04979024122263945) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.04979024122263945) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.04979024122263945)... | 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(-7.2777) 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] = ... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
0.5,
22.5,
11.5,
21,
21,
11,
9.5,
-7.5
] | 0.970367 | [
0.04979024122263945,
-1.2395641058626865,
1.6072661776984662,
-1.2975643784720312,
0.8841029895329524,
-1.446418733116507,
-1.4355238644249626,
1.3859267980444265,
1.189824641938442,
1.5301831548502773,
0.2543065660981385,
1.5984645142055647,
-1.0908269470905945,
1.456728143422818,
0.875... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 65 |
117d5eadcb002c843d1e10097e462227 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -0.074194133809619, "params": [[-0.045200000000000004], [0.0557]], "bitstrings": ["101000", "110000"], "total_optimization_steps": 10, "probabilities": [0.016562100939423965, 0.01656210093942397], "optimization_time": 0.9667747020721436} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"], "largest_eigenvalue": 6.0} | 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] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
0,
0,
0
] | 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 |
802a7e7b8f68c01830884a162c692944 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 8}, {"sour... | {"states": [278, 150], "expectation_value": -5.049293923657902, "params": [[0.6371, 0.6468, 0.003, 0.0001, 0.8428, 0.8917, 0.040600000000000004, 0.8953000000000001, -0.0], [0.6087, 0.6102000000000001, 0.0032, 0.0036000000000000003, 0.5172, 0.4791, 0.8995000000000001, 0.9029, -0.0049], [0.6459, 0.638, 0.0031000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["011101100", "100110011", "101110001", "011110100", "011101001", "101101001", "011110001"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.5878364301826416) q[0];
ry(0.8273537362888506) q[1];
ry(0.18856232266544898) q[2];
ry(-0.04264773654906896) q[3];
ry(0.8580336092633281) q[4];
ry(0.9825032318369418) q[5];
ry(0.005412875115991422) q[6];
ry(1.0928686199571367) q[7];
ry(0.04047537806291) q[8];
cz q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIZIZII",
"IZIIIIZII",
"IZIIIZIII",
"IIIZZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"ZIIIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-2,
-1,
-0.5,
-0.5,
0,
0
] | 0.979463 | [
0.5878364301826416,
0.8273537362888506,
0.18856232266544898,
-0.04264773654906896,
0.8580336092633281,
0.9825032318369418,
0.005412875115991422,
1.0928686199571367,
0.04047537806291,
0.531258744975881,
0.6831969280737585,
-0.21248538413962234,
-0.10638740420635034,
0.4995710347922707,
0.... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
0ae9b6f2b61290137ab22e2dafb0c164 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target"... | {"states": [14325, 14261], "expectation_value": -7.738645698648622, "params": [[[0.7841, 0.39], [1.5767, 0.0009000000000000001], [1.5766, -0.0009000000000000001], [0.7872, 0.3896], [1.572, -0.0019], [1.5743, 0.0004], [1.5482, -0.0013000000000000002], [1.3568, -0.0061], [0.7994, -0.3788], [1.4703000000000002, -0.0004], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 2 | {"smallest_eigenvalues": [-10.249999999999952], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999945, "smallest_bitstrings": ["100100001001010"], "largest_eigenvalue": 30.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.2... | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
06ec716f7c6c63b1aba8eac15fa44d26 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [35, 63], "expectation_value": -5.930347342878272, "params": null, "bitstrings": ["1011100", "1000000"], "total_optimization_steps": 59, "probabilities": [0.09612087712553179, 0.6851845797893719], "optimization_time": 60.67778253555298} | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 7.75} | 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(0.14662944682209153) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.03207041332105976) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.004657991275908549) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.14662944682209153) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5706) q[1], 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]... | [
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.75,
-0.5,
0.5,
-0.5,
1,
-0.25,
-0.5,
0.5,
-1,
0.75,
-0.5
] | 0.946282 | [
0.14662944682209153,
0.03207041332105976,
-0.004657991275908549,
-0.06255413879699266,
-0.11688910112479409,
-1.1040750932319774,
-1.0882832930196775,
-1.1385645611061024,
-1.0610330425854635,
1.4322711339057295,
0.5063761691342662,
0.28481786844050344,
0.26423677171838056,
-0.262978351077... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
117d5eadcb002c843d1e10097e462227 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [15, 23], "expectation_value": -0.42588560529772834, "params": [[0.0724, 0.0717], [-0.0757, -0.0721]], "bitstrings": ["110000", "101000"], "total_optimization_steps": 10, "probabilities": [0.021328680772785966, 0.021328680772785966], "optimization_time": 2.1160504817962646} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"], "largest_eigenvalue": 6.0} | 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] 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",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
0,
0,
0
] | 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 |
77760a3072423fe2d8d9fc0c2352593a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -11.556122475159675, "params": [-0.0018000000000000002, 0.1348, -0.0005, 0.13140000000000002, 0.001, 0.16040000000000001, 0.0039000000000000003, 0.1631, 0.2008, -0.0024000000000000002, 0.19770000000000001, 0.0026000000000000003, 0.0059, 0.1155, 0.0048000000000000004, 0.12240000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + -1.25 * (Z(6... | 7 | 11 | 4 | {"smallest_eigenvalues": [-13.0, -13.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111", "11011111110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.040657721984395635) q[0];
rz(1.7277258864457519) q[0];
rx(-0.08779567618782678) q[1];
rz(1.8414089382202263) q[1];
rx(0.25247417154058766) q[2];
rz(1.7232269930067226) q[2];
rx(-0.03182187937532985) q[3];
rz(2.042477570096448) q[3];
rx(0.08709208877683217) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IZIIIIIIIZI",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"IIIIIIIIZIZ",
"IIIZIIIIZII",
"IIIIZIIIZ... | [
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.5,
1.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-1,
-0.25,
-0.25,
1.5,
-1.75,
-0.5,
0,
0,
0.75,
0.5,
1
] | 0.976331 | [
0.04065772198439564,
0.15692955965085553,
-0.08779567618782678,
0.2706126114253305,
0.25247417154058766,
0.1524306662118256,
-0.03182187937532985,
0.4716812433015519,
0.08709208877683217,
0.1279014167531838,
0.10446160848531559,
0.07606543529837743,
-0.02224504337845347,
0.2201308232281087... | {
"n_parameters": 132,
"n_qubits": 11,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 37 |
86f7cf811774c9dc1f8ac7ebefafd51c | 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": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 26], "expectation_value": -2.489065531692975, "params": null, "bitstrings": ["100011", "100101"], "total_optimization_steps": 27, "probabilities": [0.060236481746409505, 0.864537407937405], "optimization_time": 22.067090034484863} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-0.5,
0
] | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
b06e27961007262f3a2ecbf8aba20c59 | 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": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [1003, 1002], "expectation_value": -1.8575798491839959, "params": [[[0.4027, -0.09330000000000001], [0.5994, 0.0008], [0.6011000000000001, -0.0017000000000000001], [0.6072000000000001, 0.0029000000000000002], [0.6027, -0.0039000000000000003], [0.601, -0.0039000000000000003], [-0.0001, 0.42360000000000003], [... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.9375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9375, "smallest_bitstrings": ["10000010101"], "largest_eigenvalue": 7.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.8165661135111266) q[0];
rz(1.6822873879029663) q[0];
rx(-0.1761158400586234) q[1];
rz(1.1072219666517356) q[1];
rx(2.9821919954623435) q[2];
rz(1.5640894193406867) q[2];
rx(-0.22897729736989372) q[3];
rz(1.6223776513277102) q[3];
rx(2.0145625558052633) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIZIIZIZ",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIIZZZII",
"IIIIIZIZZ... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.125,
0.125,
0.125,
0.... | 0.975753 | [
2.8165661135111266,
0.1114910611080694,
-0.17611584005862338,
-0.4635743601431611,
2.9821919954623435,
-0.006706907454209848,
-0.22897729736989372,
0.05158132453281461,
2.0145625558052633,
0.08563247619159585,
1.439433386232278,
0.09948764002142826,
3.003695837809674,
0.390496713810319,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -0.08903722387580545, "params": [[0.046200000000000005, 0.0531, 0.0334], [-0.0323, -0.0443, -0.033800000000000004]], "bitstrings": ["011", "110"], "total_optimization_steps": 10, "probabilities": [0.13281745343537082, 0.13281745343537085], "optimization_time": 2.3171043395996094} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0]... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"ZZI",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
e1e31cd8da97b1296222838354d79204 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"sour... | {"states": [192, 248], "expectation_value": -11.393624086651965, "params": [1.5812000000000002, 1.2636, 0.39030000000000004, -0.49760000000000004, 1.0883, 0.8653000000000001, 0.1278, -0.0716, 0.3759, -0.3526, -0.0026000000000000003, -0.0022, -0.0025, -0.0025, 0.004200000000000001, -0.009000000000000001, 0.882, -0.3372,... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 14 | 8 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.021674064005247) q[0];
cx q[1], q[0];
rz(-0.9568489535979356) q[0];
rx(-1.4852101733885612) q[0];
rz(-0.9568489535979356) q[1];
rx(-1.4852101733885612) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.5077310367674133) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.718356 | [
-3.021674064005247,
-1.5077310367674133,
-0.9568489535979353,
-0.005397137007634806,
0.0015350176540887314,
-1.4852101733885614
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 160 |
00c47f772e828bc0d4453cbe4002ef93 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -6.017376324730655, "params": [[-0.0719, -0.0398], [0.0804, 0.07060000000000001]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.017868181727045972, 0.019592855762311033], "optimization_time": 6.516535520553589} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.5,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [1, 3], "expectation_value": -10.099070166304266, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 24, "probabilities": [0.4114150901330255, 0.4258530156110788], "optimization_time": 21.967628002166748} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
8ea4bcc4df3e10de0c557d9b64e2ab10 | 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": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 193], "expectation_value": -17.13257141966297, "params": [0.1867, -0.052700000000000004, 0.0485, -0.4007, 0.0085, 0.45940000000000003, 0.044500000000000005, 0.4823, 0.2766, 0.0724, 0.2888, 0.2828, 0.2755, 0.0668, 0.2732, 0.1806, -0.0539, 0.46690000000000004, 0.0269, 0.5333, -0.06670000000000001, 0.445300... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @... | 6 | 10 | 4 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["1100111110"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.07492664217678363) q[0];
rz(1.7614927903686137) q[0];
rx(0.020430163044854975) q[1];
rz(2.1141233976630804) q[1];
rx(0.5043765003119409) q[2];
rz(1.4321340527992916) q[2];
rx(-0.5153130145733165) q[3];
rz(2.1330373066288644) q[3];
rx(-0.026372962808336606) 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": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIIIZZII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIZIIII"... | [
-0.25,
-1,
-0.75,
-1,
-1.5,
-1.25,
-0.5,
-0.25,
-1,
-0.25,
-1.25,
-0.5,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-1.25,
2.25,
-0.5,
-0.75,
2,
-0.25,
0,
0,
-1.25,
0,
-0.5,
0.25,
0,
-0.25
] | 0.97539 | [
-0.07492664217678363,
0.19069646357371633,
0.020430163044854975,
0.5433270708681835,
0.5043765003119409,
-0.13866227399560505,
-0.5153130145733166,
0.5622409798339681,
-0.026372962808336606,
0.6731554899271923,
-0.04439183815517753,
0.627447056358518,
0.13040063262318008,
0.324396683318380... | {
"n_parameters": 99,
"n_qubits": 10,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 99 |
43feb36a4722febdeeb68ef4ea14502b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [578, 594], "expectation_value": -9.530361466523564, "params": [[0.812, -0.016, 0.1892, 0.8039000000000001, 0.19210000000000002, 0.7969, 0.0005, -0.005200000000000001, 0.8057000000000001, 0.1752], [0.8094, 0.010700000000000001, 0.1168, 0.8097000000000001, 0.0344, 0.7891, 0.0033, 0.0098, 0.8106, 0.7772]], "bi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0110101101", "0110111100"], "largest_eigenvalue": 32.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.182450070177396) q[0];
ry(0.08549755347387583) q[1];
ry(0.1969074360341255) q[2];
ry(1.3485788165741952) q[3];
ry(0.041250908025569175) q[4];
ry(2.065973756888182) q[5];
ry(0.0934347807265998) q[6];
ry(0.03063994477856842) q[7];
ry(1.2912035832451887) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIZIIIZIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"ZIIIIIIIZI",
"ZIIZIIIIII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIIIZZII",
"ZIIIIIIZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-2,
-3.5,
-2.5,
-1.5,
-1,
-1.5,
-2,
-2
] | 0.97144 | [
1.182450070177396,
0.08549755347387583,
0.1969074360341255,
1.3485788165741952,
0.041250908025569175,
2.065973756888182,
0.0934347807265998,
0.03063994477856842,
1.2912035832451887,
-0.20415641890910818,
1.4370585272208638,
-0.015424326463845454,
-0.09548563699513878,
1.3479230129884847,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 18 |
fc7b19754949f0e05a27875fb69f344a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [15, 31], "expectation_value": -21.40894795289721, "params": [-0.0009000000000000001, 0.7029000000000001, 0.0048000000000000004, 0.8256, -0.0029000000000000002, 1.2385000000000002, 0.5847, 0.2247, 1.0634000000000001, -0.0033, 1.0431000000000001, 0.0303, -1.0569, 0.27740000000000004, 1.0241, -0.001, -0.0061, ... | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 18 | 8 | 3 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
5590387662697888090 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 12, 5, 6], [0, 3, 4], [2, 3], [2, 4, 5], [3, 5], [10, 5], [8, 9, 7], [1, 12, 9], [2, 4, 7], [11, 5], [0, 9, 4], [9, 12, 4], [8, 1, 11, 4], [1, 3], [0, 1, 12, 5], [8, 9, 5, 6], [8, 3], [2, 11], [10, 6], [8, 2, 7], [10, 4], [8, 11, 7], [1, 2, 12, 5]... | {"states": [7640, 3544], "expectation_value": -7.79285355313407, "params": [0.8403, -0.7100000000000001, 0.8404, 0.0063, 1.1413, 0.0137, 1.3465, 0.0142, 1.5728, -0.0027, 1.5743, 0.005200000000000001, 0.0026000000000000003, -1.11, 0.0029000000000000002, -0.9299000000000001, 1.5717, -0.0019, 1.5648, 0.006500000000000001,... | 0.16666666666666666 * (Z(0) @ Z(12)) + 0.25 * (Z(5) @ Z(12)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(12)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(12)) + 0.333... | 8 | 13 | 1 | {"smallest_eigenvalues": [-7.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.750000000000002, "smallest_bitstrings": ["1001000100111"], "largest_eigenvalue": 20.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.8994530145328861) q[0];
rz(0.9292179637338958) q[0];
rx(1.3293054886963627) q[1];
rz(0.053321988465703116) q[1];
cx q[1], q[0];
ry(0.07108938405824983) q[0];
cx q[1], q[0];
ry(0.6081206312184577) q[0];
rz(-1.5395080528991116) q[0];
rx(1.2685127657603938) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIIIZ",
"ZIIIIIIZIIIII",
"IIIIIIIZIIIIZ",
"ZIIIIIZIIIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIIIIZIIZ",
"IIIIIIIZIZIII",
"ZIIIIIIIZIIII",
"IIIIIIIIZIIIZ",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIIIIZZIII",
"ZIIIIIIIIIZII",
"IIIIIIIIIIZIZ",
"IIIIIIIZIIZII",
"IIIIIIZIIIZ... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.2... | 0.982434 | [
0.899453014532886,
-0.6415783630610009,
1.3293054886963627,
0.053321988465703116,
1.4991210040304634,
0.03994965726035222,
-0.047074524415281406,
-1.003881739045973,
1.5429097919724766,
-0.05065423122196562,
1.3014298816423566,
0.09080899894933366,
1.5977665229798759,
-0.033126824056220146... | {
"n_parameters": 57,
"n_qubits": 13,
"optimal_eigenvalue": -7.833333333333336,
"target_ratio": 0.97,
"target_value": -7.598333333333335
} | 1 |
-3149244787070552550 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 3], [10, 7], [3, 7], [0, 5], [1, 6], [2, 5], [9, 6], [11, 5], [0, 11], [0, 2], [9, 1], [10, 5], [0, 1], [8, 4], [8, 6], [0, 3]]} | {"states": [2070, 2071], "expectation_value": -0.10912322405997826, "params": [[[1.6929, 0.0045000000000000005], [1.4941, 0.0094], [1.3847, 0.0057], [1.4051, 0.009600000000000001], [1.4025, 0.0098], [1.4598, 0.0067], [1.4187, 0.006900000000000001], [1.735, 0.0089], [1.4689, 0.009000000000000001], [1.7256, 0.0071], [1.7... | 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["011111000010", "011111101000", "100000010111", "100000111101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.138558319055686) q[0];
rz(1.2989432872907136) q[0];
rx(0.19131324023668944) q[1];
rz(0.46238489265664506) q[1];
rx(-0.09322129996180009) q[2];
rz(-2.340286248964375) q[2];
rx(0.12738373490942023) q[3];
rz(-1.4652889912816764) q[3];
rx(0.1293559768616333) 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": []} | [
"ZIIIIIZIIIII",
"IIZIIIZIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIIIZ",
"IIIIZIIIIZII",
"IIIIZIIIIIIZ",
"ZIIIIIIIIIZI",
"IIIIIIIIIIZZ",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IIIIIIIZIIIZ",
"IIIIZIIZIIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"IZIZIIIIIIII",
"IZIIIZIIIIII",
"IIIIIIZIIIII",
"ZIIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.978323 | [
3.138558319055686,
1.2989432872907136,
0.19131324023668944,
0.46238489265664506,
-0.09322129996180009,
-2.340286248964375,
0.12738373490942023,
-1.4652889912816764,
0.1293559768616333,
-0.7359921401345992,
0.1841445566308656,
-2.6924562031664263,
-0.027881314469500804,
1.1364764654178103,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 56 |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [19, 3], "expectation_value": -23.83163057505398, "params": [[[0.2559, 0.0083], [0.5358, 0.0068000000000000005], [1.5588000000000002, 0.0074], [0.2818, 0.0025], [0.273, 0.0059], [1.6031, 0.0022], [1.6068, 0.0045000000000000005]]], "bitstrings": ["1101100", "1111100"], "total_optimization_steps": 160, "probab... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) 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] 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... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
-10,
-10.25,
-10,
-10.25,
-10.25,
-9.25,
-9.5
] | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
60668963da06e834e19f76557703de50 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [958, 702], "expectation_value": -18.717965563128597, "params": [-0.0035, 0.9732000000000001, -0.0025, -0.3518, -0.0024000000000000002, 0.9494, 1.2984, 0.2447, 0.9676, 0.5683, 1.1833, 0.4601, -0.0026000000000000003, 0.9667, 1.3004, -0.0021000000000000003, 1.3034000000000001, 0.0033, 1.292, 0.0031000000000000... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 18 | 13 | 2 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110010000000", "1110100000000", "1110011000001", "1110101000001"], "largest_eigenvalue": 44.16666666666667} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.3495795638101787) q[1];
cx q[2], q[1];
rz(1.316267177939518) q[1];
rx(0.9018162532465075) q[1];
rz(1.316267177939518) q[2];
rx(0.9018162532465075) q[2];
cx q[2], q[1];
rz(0.7064898143884604) q[1];
cx q[2], q[1];
rz(0.2181291... | 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": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"ZIIIIIIIIZIII",
"ZIIIIZIIIIIII",
"ZIIIZIIIIIIII",
"IIIIZZIIIIIII",
"IIIIIIZIIZIII",
"ZIIIIIZIIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIIIII",
"IIIZIZIIIIIII",
"IIIZZIIIIIIII",
"IIZIIZIIIII... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
1,
1,
2,
0.5,
0.5,
0.5,
1,
-0.16666666666666666,
1.5,
-1.1666666666666665,
1,
1,
0.5,
4,
4,
-0.5,
4.5,
9,
3,
-0.3333333333333333,
-0.3333333333333333
] | 0.970127 | [
0.04189863073806663,
-0.002744068804934087,
-0.021418427119927266,
0.07746452679930428,
-0.2651959433094865,
-0.3495795638101787,
-0.9081232874605003,
1.1085983865872393,
-1.3250371974144388,
-1.0327661562735717,
-1.7856827631827696,
-0.964013346061466,
1.3162671779395185,
0.90181625324650... | {
"n_parameters": 42,
"n_qubits": 13,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 147 |
b03062475f1287ad31bf0aaec748b841 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [1023, 963], "expectation_value": -0.863041690378769, "params": [[-0.0437], [0.0526]], "bitstrings": ["0000000000", "0000111100"], "total_optimization_steps": 10, "probabilities": [0.0013904368624017072, 0.0014092206378056855], "optimization_time": 1.906139612197876} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000111100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.8533030903316493) q[0];
rz(2.0531308600922245) q[0];
rx(0.35621584720791755) q[1];
rz(1.974764623428082) q[1];
rx(1.735087997260482) q[2];
rz(3.0493011326905908) q[2];
rx(0.6571776399995019) q[3];
rz(2.6805543511212413) q[3];
rx(0.10578863356944496) q[4];
rz(2.172... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-2,
1.5,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.97057 | [
0.8533030903316492,
0.48233453329732806,
0.35621584720791755,
0.40396829663318534,
1.7350879972604822,
1.4785048058956942,
0.6571776399995019,
1.1097580243263452,
0.10578863356944494,
0.6016269032756117,
-0.04631051449482683,
-0.1198304868911331,
0.04511545154645174,
0.24081034919981864,
... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 385 |
74f1544741d8dc33405b84be7c29f907 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"sour... | {"states": [255, 127], "expectation_value": -3.9368798246897247, "params": [[-0.0815], [0.0772]], "bitstrings": ["00000000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009139301078758131, 0.009371022822119015], "optimization_time": 4.107667446136475} | -3.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 1.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-1.6818512755030193) q[0];
rz(-0.05011761782179678) q[0];
rx(0.024531794576474017) q[1];
rz(0.10217450804191504) q[1];
rx(0.024531794576474017) q[2];
rz(0.22780403382131073) q[2];
rx(-0.0019298072596211778) q[3];
rz(-0.016452723778590042) q[3];
rx(-0.0019298072596211... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[1], q... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZ... | [
-3,
-3,
-3,
-3,
-3,
1,
1,
-3,
-3,
1,
-3,
1,
-3,
1,
1,
1,
1,
1,
-3,
-3,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.984107 | [
-1.6818512755030193,
-0.05011761782179678,
0.024531794576474017,
0.10217450804191504,
0.22780403382131073,
-0.0019298072596211778,
-0.016452723778590042,
-0.02934461518037318,
-0.08056059532403484,
0.08696642690571697,
3.083024103090386
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 1 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [41, 57], "expectation_value": -0.6940426433757956, "params": [1.0859, 0.0018000000000000002, 2.1, 0.0002, 1.6229, 0.0, 2.1085000000000003, 0.0027, 1.0947, 0.009600000000000001, 0.49200000000000005, 0.0058000000000000005, 2.1066000000000003, 0.0057, 0.0022, 0.0095, 0.0045000000000000005, 0.0085, 0.007, 0.003... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"], "largest_eige... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0,
-0.25,
0
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
f81bf46cca70ad09ada391580bab0628 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [197, 133], "expectation_value": -4.980348227999455, "params": [[[0.5038, 0.0014], [0.3164, -0.06770000000000001], [0.0053, 0.0918], [-0.0098, 0.25730000000000003], [0.0007, -0.28090000000000004], [0.5088, 0.0025], [-0.00030000000000000003, 0.2732], [0.4698, 0.0011]], [[0.5044000000000001, 0.0014], [0.3175, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["00111101", "00111011", "10110011", "01111010", "11010011", "11011010"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.7834654556032952) q[0];
ry(2.874572865975902) q[0];
rz(-1.7367889944596986) q[0];
rz(0.8948878434181751) q[1];
ry(0.03586569030821646) q[1];
rz(-1.4604703992351822) q[1];
rz(-0.2429178084493837) q[2];
ry(0.030069997633774482) q[2];
rz(-0.16119680211189769) q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIIIIZZI",
"IIIIZIZI",
"ZIIZIIII",
"ZIIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZZIIIIII",
"IIZIZIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII"
] | [
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,
-1.5,
-1,
-2,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.98893 | [
0.5027825524624825,
0.02267837415403287,
-0.1523955487600302,
-0.019245708816926846,
-0.006710620176215931,
0.09727700567546874,
-0.0012912622488938964,
0.037600344041485156,
0.01395589239974579,
-0.38741682866424054,
0.7149102829698329,
-0.019491245451658742,
0.169965899200761,
0.14983762... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 10 |
3eae9571be99206e8d251c5f1caa9c72 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [399, 511], "expectation_value": -0.29374859807505804, "params": [[0.042800000000000005], [-0.0398]], "bitstrings": ["001110000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0022166669682420473, 0.002229704116136633], "optimization_time": 1.5799617767333984} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + 0.5 * Z(2) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.... | 5 | 9 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.38195054971176035) q[0];
rz(1.4906148942791582) q[0];
rx(-1.3991219864922113) q[1];
rz(1.5285724814751944) q[1];
rx(-2.767107125818454) q[2];
rz(1.495278141948834) q[2];
rx(-3.124706048720333) q[3];
rz(2.452913844629382) q[3];
rx(0.2831625939787221) q[4];
rz(2.661... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1,
-1.5,
-2,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.970036 | [
-0.3819505497117604,
-0.08018143251573825,
-1.3991219864922115,
-0.04222384531970143,
-2.767107125818454,
-0.07551818484606285,
3.158479258459254,
0.8821175178344853,
0.28316259397872207,
1.0906726956194261,
0.1384470194445426,
1.2876044893166538,
-0.10831868776595631,
0.8385119930996024,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 158 |
ed01866ce53def5a36a69737a2fd120b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [115, 123], "expectation_value": -4.4185923870685855, "params": null, "bitstrings": ["10001100", "10000100"], "total_optimization_steps": 59, "probabilities": [0.16476189183352727, 0.6119730066251393], "optimization_time": 66.27852272987366} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) q[4];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5681) 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... | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
3928188676e428b6c75c7255e5b5e044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [17, 153], "expectation_value": -12.954368081351323, "params": null, "bitstrings": ["111101110", "101100110"], "total_optimization_steps": 60, "probabilities": [0.1936060412929956, 0.6096660806695061], "optimization_time": 92.32723927497864} | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6073416611042596) q[0];
h q[1];
ry(-0.026345425365336513) q[2];
rz(-pi) q[2];
ry(-0.0007133354418511689) q[3];
rz(-pi) q[3];
h q[4];
ry(0.784490879013381) q[4];
h q[5];
ry(0.7858660089208415) q[5];
cx q[1], q[5];
ry(-0.7858660089208415) q[5];
cx q[1], q[5]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) 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] = me... | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"IIIIIZZII",
"IIZIIIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-0.75,
-0.75,
-1,
-0.25,
-1,
-1.25,
-0.25,
-0.25,
-0.75,
-1.25,
3,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-1,
-3.25,
-0.25,
-0.75,
0,
1.5,
1,
0.5,
0.75,
0.5
] | 0.917427 | [
-1.569684775288371,
-1.2146833222085192,
1.5715095627947713,
-0.9727393991275854,
1.568981758026762,
0.009254978545741714,
1.571732017841683,
1.2302580760237989,
-0.09868665842247276,
-0.0010310197011390834,
-1.5193809150659674,
-1.892673947695763,
0.09878303233141211,
-0.19886850822880192... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 500 |
b426b8aff164c6823b185eb6b091738d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [52, 28], "expectation_value": -3.499900324058672, "params": null, "bitstrings": ["001011", "100011"], "total_optimization_steps": 26, "probabilities": [1.718749846806863e-05, 0.999950071326692], "optimization_time": 18.70163917541504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
9f16651ff069e7e4b10d7e6e3ea493cf | 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}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -3.8253352362448494, "params": [[[-0.0181, -0.0142], [-0.0046, 0.41540000000000005], [-0.003, -0.0045000000000000005], [-0.0026000000000000003, -0.0033], [-0.0006000000000000001, -0.0024000000000000002], [-0.0029000000000000002, 0.0023], [-1.2464, -0.0005], [0.5616, -0.0035]]... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.10963318844684469) q[0];
ry(-0.10784227629783924) q[1];
ry(0.04903416532490154) q[2];
ry(-0.06456811418837632) q[3];
ry(-0.06278920391668384) q[4];
ry(0.016083486528017166) q[5];
ry(-0.09115505483951711) q[6];
ry(3.0615251106487658) q[7];
cx q[7], q[0];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"ZIIZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
0,
-0.25,
0,
-0.75,
0.5,
0,
0.5,
0
] | 0.970232 | [
0.10963318844684469,
-0.10784227629783924,
0.04903416532490154,
-0.06456811418837632,
-0.06278920391668384,
0.016083486528017166,
-0.09115505483951711,
3.0615251106487658,
0.6745970847881372,
0.004343756851912965,
-0.11081314270066006,
-0.2897526101286637,
-0.016448119872728477,
-0.2862374... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
eba59f50c284ea491834da7e16fa8fc7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 16, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [217, 214], "expectation_value": -16.422170377636373, "params": [[-0.0453, -0.0179], [0.075, 0.068]], "bitstrings": ["100100110", "100101001"], "total_optimization_steps": 10, "probabilities": [0.007429652028324171, 0.009201917583240331], "optimization_time": 3.476325035095215} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 3.0 * Z(0) + 12.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.38052690791396165) q[0];
rz(0.12876224261210822) q[0];
rx(0.4129431632583738) q[1];
rz(-0.06465084134299584) q[1];
cx q[1], q[0];
rz(-0.16858860617837823) q[0];
cx q[1], q[0];
rz(1.5592973732717885) q[0];
ry(0.7000341781004477) q[0];
rz(-1.6857574732511131) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"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,
10.5,
3,
12.5,
11.5,
0,
11,
15.5,
10.5,
6.5
] | 0.971281 | [
0.3805269079139617,
-0.039826363566269986,
0.4129431632583738,
-0.06465084134299584,
0.0026392553186233812,
0.17111628982817592,
0.16301495096394006,
0.10067041393419487,
0.02266213442633431,
0.1936882971656938,
0.45767754317687187,
0.07251452325467028,
-0.001591014420485962,
0.27170146128... | {
"n_parameters": 144,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 3 |
eb37df157f972d0ca6ce6f2978928048 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [29, 5], "expectation_value": -0.41619083626600806, "params": [[-0.060500000000000005, -0.060500000000000005, -0.043500000000000004], [0.0737, 0.0741, 0.0658]], "bitstrings": ["100010", "111010"], "total_optimization_steps": 10, "probabilities": [0.02346211060616598, 0.02534425489239304], "optimization_time"... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx 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] 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [17, 9], "expectation_value": -1.1060844320613539, "params": [0.4093, 0.2685, 0.4142, 0.3055, 0.0847, -0.20370000000000002, 0.09620000000000001, 0.2679, 0.4394, 0.13090000000000002, 0.4016, 0.2874, 0.4062, 0.3085, 0.085, -0.2011, 0.09050000000000001, 0.28140000000000004, 0.43220000000000003, 0.1451, 0.387, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 3 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
317507523039185204 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [2, 4], [0, 2], [1, 3]]} | {"states": [7, 6], "expectation_value": -0.003769500384377872, "params": [[[1.5463, 0.0032], [1.5089000000000001, 0.0022], [1.608, 0.009000000000000001], [1.6334000000000002, 0.0061], [1.5583, 0.001]]], "bitstrings": ["11000", "11001"], "total_optimization_steps": 170, "probabilities": [0.03699410619761597, 0.037931783... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11001", "00110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
ry(-0.1579428967873937) q[2];
h q[3];
ry(-0.1579428967873937) q[3];
cx q[1], q[3];
ry(0.1579428967873937) q[3];
cx q[1], q[3];
ry(1.5323428759405628) q[1];
ry(-0.8572461348903994) q[3];
h q[4];
cx q[4], q[2];
ry(0.1579428967873937) q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIZZI",
"ZIZII",
"IIZIZ",
"IZIZI",
"IIZII",
"IIIZI",
"ZIIII",
"IIIIZ",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.974997 | [
-0.3158857935747874,
1.4054447620075534,
-0.6700122614056613,
-0.27064419528455796,
1.3562103577208842,
1.0980366839108961,
-0.7354335119681933,
0.2537962278660185,
0.1896933798424145,
0.5590634443260468,
-0.37446774696947593,
-0.4326739544073357,
0.034878142825561786,
-0.5952960190762147,... | {
"n_parameters": 21,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 12 |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 45], "expectation_value": -0.3087521295029627, "params": [[-0.0707, -0.0422], [0.0811, 0.0713]], "bitstrings": ["101101", "010010"], "total_optimization_steps": 10, "probabilities": [0.019924769105886246, 0.02151549165935894], "optimization_time": 2.1251425743103027} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx q[4],... | 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",
"IIZIZI",
"ZIIIZI",
"ZZIIII",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 30], "expectation_value": -4.999934073503016, "params": null, "bitstrings": ["100111", "100001"], "total_optimization_steps": 27, "probabilities": [1.383379202653001e-05, 0.9999481835511215], "optimization_time": 24.055025339126587} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
4ffbc852e1de75038cf19c57ac0e724b | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [0, 3], "expectation_value": -17.58192810596511, "params": [-0.0017000000000000001, 0.0027, -0.0025, 0.0039000000000000003, -0.0024000000000000002, 0.0027, -0.0027, 0.0077, -0.0025, 0.0049, -0.0023, 0.0098, 0.0023, 0.0099, -0.0021000000000000003, 0.8447, 0.8101, 0.0013000000000000002, -1.6562000000000001, 0.... | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + 2.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -1.0 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-18.75, -18.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.75, "smallest_bitstrings": ["1111111100", "1110111100"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.38110927183069593) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.34639370612346093) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.38110927183069593) q[1];
cx q[2], q[1];
rz(-0.38110927183069593) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIIIZZI",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIIZIIIZI",
"IZIIIZIIII",
"ZZIIIIIIII",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIIZIIIIZI",
"IIIZZIIIII"... | [
-1,
-0.75,
-1,
2.25,
-0.75,
-1,
-0.75,
-0.25,
-1.5,
-1,
-2,
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.75,
-0.75,
-0.75,
-1,
-0.75,
-1.25,
-1.5,
-0.25,
0,
0,
0,
-0.25,
1.25,
1.25,
0.75,
-1.25
] | 0.531605 | [
-0.38110927183069593,
-0.34639370612346093,
1.042787673465713,
-0.13873834418374864,
-0.52945120965283,
-0.8977527590469898,
-0.4857962137786947,
-0.5960177484468508,
0.11390341773452939,
1.13162628735769,
0.10343104128979094,
-0.9383064521705546
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 226 |
9800d678f4921072509903db27fda1fd | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [239, 207], "expectation_value": -3.0272938256796316, "params": [-0.0011, -0.0741, 0.059000000000000004, 0.6767000000000001, 1.4031, 0.3145, 1.3991, 0.0023, 0.7651, 0.3911, -0.0161, 0.9159, 1.0604, 0.8181, 1.3956000000000002, -0.0102, 1.3903, 0.0008, 1.3911, -0.0037, 0.005, 0.0057, 0.059500000000000004, 0.00... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100001001", "1100010001", "1100010010", "1100011000", "1100110000", "1000110100", "1001001100", "1101001000"], "largest_eigenvalue": 6... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.003664829923675055) q[0];
rz(-0.4729373673760757) q[0];
rx(-0.09675898262381692) q[1];
rz(0.7330296658900083) q[1];
cx q[1], q[0];
rz(0.3052492135697453) q[0];
cx q[1], q[0];
rx(0.08064200259805002) q[0];
rz(-0.09279316689706274) q[0];
rz(0.36141341688818923) 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": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII",
"IIZIIIIZIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
... | 0.972962 | [
0.0036648299236750545,
-0.1676881538063303,
-0.09675898262381692,
0.7330296658900083,
1.3999162331038009,
0.34271849329744036,
1.4470363710902063,
-0.13704858272599035,
-0.10910329165344018,
0.37632417666727835,
0.08130780559173567,
0.775343707190899,
1.55693768215877,
0.5263793025165554,
... | {
"n_parameters": 57,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 15 |
af56ef2bee9fa35379eebfd165c008bc | 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": 4}, {"source": 1, "target": 5}, ... | {"states": [715, 1739], "expectation_value": -2.786901881788303, "params": [[[0.808, 0.009000000000000001, 0.001, 0.0082], [-0.0048000000000000004, 0.3119, 0.6218, 0.0058000000000000005], [0.7976000000000001, 0.056900000000000006, 0.008400000000000001, 0.0626], [0.0531, 0.0412, 0.2374, 0.005], [0.8055, -0.0013000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 12 | 11 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.6875, "smallest_bitstrings": ["11000000110", "00011001100", "01000100101", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011858494992534028) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.011858494992534028) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.011858494992534028) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.011858494992534028) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZZIIIZ",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"IIIZZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.... | 0.852204 | [
-0.011858494992534028,
-0.4399264199198752,
-1.4993815548133493,
-1.6036786703490618,
0.05348708471282885,
-1.5784591831106949,
1.3448833506454543,
-2.032242889741459,
-2.2699821520766057,
-1.6678431398089475,
-0.5597235221639837,
0.40876528620131225,
-2.183900960248195,
-3.412156663907455... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
-8156297579877937853 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 6], [4, 5], [1, 4], [1, 2, 3, 5, 6], [0, 1, 2], [0, 6]]} | {"states": [61, 59], "expectation_value": -2.061804019284396, "params": null, "bitstrings": ["1000010", "1000100"], "total_optimization_steps": 48, "probabilities": [0.05153777404921172, 0.8291791902580595], "optimization_time": 67.33195900917053} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(6)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.033333333333334, "smallest_bitstrings": ["0100011", "1000100"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.07821013583983248) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.07821013583983248) q[6];
cx q[4], q[6];
cx q[3], q[6];
cx q[4], q[5];
rz(-1.0622659685091358) q[5];
cx q[4], q[5];
cx q[4], q[1];
rz... | 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(1.0792) 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", "... | [
"IIZZIII",
"ZIZIIII",
"ZIIZIII",
"IZZIIII",
"IZIZIII",
"ZZIIIII",
"IIZIIZI",
"IIIZIZI",
"ZIIIIZI",
"IZIIIZI",
"IIIZZII",
"ZIIIZII",
"IZIIZII",
"IIIIZZI",
"ZIIIIIZ",
"IIIIIZZ",
"IIIIZIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.5,
0.05,
0.05,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0.26666666666666666,
0.2666666666666666,
0.1000000000000002,
0.2... | 0.622405 | [
-0.07821013583983248,
-0.4064386431527201,
-1.0622659685091358,
0.14402732184742517,
-0.5477154289904551,
-0.02993049081801174,
0.8477494294481007
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 163 |
1950899674174661020 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 6], [1, 2, 4], [2, 6], [3, 7], [4, 5], [0, 1, 4, 7], [3, 6], [2, 5]]} | {"states": [71, 248], "expectation_value": -1.2686098824391718, "params": [[-0.42850000000000005], [0.41590000000000005]], "bitstrings": ["10111000", "00000111"], "total_optimization_steps": 50, "probabilities": [0.022091865367378817, 0.02319798148691696], "optimization_time": 2.910275936126709} | 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.28807875366210867) q[0];
h q[1];
ry(1.3873527117938693) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.321398363272264) q[5];
cx q[4], q[5];
ry(0.321398363272264) q[5];
cx q[4], q[5];
ry(-0.015309936714998626) q[5];
cx q[2], q[5];
ry(0.015309936714998626) q[5]... | 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",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIIIZIII",
"IIZIIZII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIII... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.4583333333333333,
0.29166666666666663,
0.16666666666666674,
0.16666666666... | 0.971593 | [
1.3873527117938693,
-0.642796726544528,
0.6478546716183022,
-0.030619873429997252,
-0.4795980459918213,
-0.1796299918792674,
1.4038702268524836,
0.7387172431134322,
-0.694811876066287,
-0.5715878790235154,
0.49377498927387176,
-0.6018751047646188,
0.5090881091470005,
0.05317279766333289,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -3.083333333333334,
"target_ratio": 0.97,
"target_value": -2.9908333333333337
} | 20 |
80414d2e2eb4a15dac1e8a7f58be727c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [36, 52], "expectation_value": -3.5605821551040915, "params": [0.0017000000000000001, -0.1993, 0.4091, -0.0047, 0.40290000000000004, 0.0018000000000000002, 0.1316, 0.0507, 0.40590000000000004, 0.0022, 0.1061, 0.1514, -0.0001, 0.223, 0.0014, -0.1991, 0.4098, -0.0129, 0.3986, 0.0005, 0.128, 0.0555, 0.4078, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 3 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100011", "0011110", "1101001", "1001011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06094240650319222) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.06094240650319222) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.06094240650319222) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(0.06094240650319222) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIZIZI",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1.5
] | 0.985922 | [
0.06094240650319222,
-1.401133667911887,
1.6260910595462086,
1.631365084044293
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 22 |
f3b0c5d606fee9f65f1e76c663e7b394 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target":... | {"states": [0, 255], "expectation_value": -9.460841286902731, "params": [0.0641, 2.579, 0.14350000000000002, 0.0038, -0.36150000000000004, 3.3585000000000003, -0.0229, 0.0024000000000000002, -0.6714, -2.6498, -0.7175, 0.0029000000000000002, -0.8867, 0.9583, -0.3057, 0.008400000000000001, 0.9796, 1.7429000000000001, -0.... | -1.5 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3)... | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-1.0279373572230235) q[0];
rz(-1.5934597563133241) q[0];
rx(-0.16614449381031754) q[1];
rz(-0.9804159716510554) q[1];
rx(-0.9797455186385472) q[2];
rz(-1.6175784538331133) q[2];
rx(-0.2998688920689003) q[3];
rz(2.4928770402098905) q[3];
rx(0.9422859212503623) 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[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970874 | [
-1.0279373572230235,
3.118929224071365,
-0.16614449381031757,
3.7319730087336356,
-0.9797455186385471,
-3.18837478062801,
-0.2998688920689003,
0.9220807134149926,
0.9422859212503625,
3.014142009060244,
3.1153341955805827,
1.777936577165963,
-0.0012153583784384053,
2.553641130293323,
-0.0... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 137 |
4ffbc852e1de75038cf19c57ac0e724b | 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": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [3, 67], "expectation_value": -17.958639660302055, "params": [-0.0023, 0.3901, 0.007200000000000001, 0.1453, -0.004200000000000001, 0.5249, -0.0024000000000000002, 0.4894, -0.0009000000000000001, 0.5089, -0.0064, 0.516, 0.3564, -0.0085, 0.33180000000000004, 0.007500000000000001, -0.0006000000000000001, 0.474... | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + 2.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -1.0 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-18.75, -18.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.75, "smallest_bitstrings": ["1110111100", "1111111100"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.38110927183069593) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.34639370612346093) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.38110927183069593) q[1];
cx q[2], q[1];
rz(-0.38110927183069593) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIIIZZI",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIIZIIIZI",
"IZIIIZIIII",
"ZZIIIIIIII",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIIZIIIIZI",
"IIIZZIIIII"... | [
-1,
-0.75,
-1,
2.25,
-0.75,
-1,
-0.75,
-0.25,
-1.5,
-1,
-2,
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.75,
-0.75,
-0.75,
-1,
-0.75,
-1.25,
-1.5,
-0.25,
0,
0,
0,
-0.25,
1.25,
1.25,
0.75,
-1.25
] | 0.531605 | [
-0.38110927183069593,
-0.34639370612346093,
1.042787673465713,
-0.13873834418374864,
-0.52945120965283,
-0.8977527590469898,
-0.4857962137786947,
-0.5960177484468508,
0.11390341773452939,
1.13162628735769,
0.10343104128979094,
-0.9383064521705546
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 226 |
4afda69c42a222bc9f2115981fa30ba0 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [112, 496], "expectation_value": -14.124753296005634, "params": null, "bitstrings": ["110001111", "000001111"], "total_optimization_steps": 73, "probabilities": [0.18597431690580388, 0.5605242675031897], "optimization_time": 115.84993958473206} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(8)) + -2.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -2.0 * Z(8) + -1.5 * Z(5) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["000001111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-2.246839478578913) q[0];
cx q[1], q[0];
rz(-0.3845192800046795) q[0];
rx(-1.3158019764555113) q[0];
rz(-0.3845192800046795) q[1];
rx(-1.3158019764555113) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.4912710617203733) q[2];
cx q[3], q[2];... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
1
] | 0.642561 | [
-2.246839478578913,
-1.4912710617203733,
-0.38451928000467944,
-0.04484576055937104,
-0.0367962090143246,
-1.545228476947542,
-1.3158019764555113
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 179 |
d56c975033dd057e743f83adc19a7c34 | 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": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [37, 75], "expectation_value": -0.858238373917541, "params": [[-0.065, -0.045700000000000005, -0.0375, -0.019200000000000002], [0.078, 0.0651, 0.057800000000000004, 0.0497]], "bitstrings": ["1011010", "0110100"], "total_optimization_steps": 10, "probabilities": [0.014247210807955504, 0.015269223968595324], "... | 0.5 * (Z(0) @ 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(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-2.9050358879956693) q[0];
rz(0.5948867343780098) q[0];
rx(-0.0885496554455817) q[1];
rz(-0.20503975740606606) q[1];
rx(0.020973640917349125) q[2];
rz(-0.5221240672245311) q[2];
rx(2.71133793134002) q[3];
rz(-0.48018378432845443) q[3];
rx(0.030169291828219782) 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": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZZIIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-1,
-1,
0,
0
] | 0.984426 | [
3.3781494191839174,
0.2675102565741927,
-0.08854965544558169,
-0.6477277573978388,
0.020973640917349122,
-0.6997177900453324,
2.71133793134002,
-0.424062130357592,
0.030169291828219785,
0.9914811742011299,
3.14508984552239,
-0.34936330861756365,
3.256916167636316,
0.2131946472530643,
-0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 19 |
-3777179041850289675 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 6], [0, 4, 5, 7, 8], [8, 1, 5, 7], [0, 1, 3], [0, 2, 7], [2, 3], [6, 7], [0, 3, 6], [3, 5], [8, 1, 5, 0], [8, 0, 3], [0, 1, 4, 6], [0, 1, 2, 5], [8, 0, 6], [8, 1, 2, 5]]} | {"states": [477, 349], "expectation_value": -2.593131170691066, "params": [1.0013, -0.0, 0.9986, 0.009300000000000001, 1.0061, -0.0029000000000000002, 1.0017, 0.0057, 1.0052, -0.0004, 0.9919, 0.0028, 0.7844, 0.0001, 0.6521, 0.0021000000000000003, 1.0036, 0.0043, 0.9880000000000001, 0.0041, 1.0044, -0.004500000000000000... | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.41666666666666663 * (Z(0) @ Z(1)) + 0.41666666666666663 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.1666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.200000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.116666666666667, "smallest_bitstrings": ["010100010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.010601143109610571) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.0011898082924529194) q[6];
cx q[2], q[6];
cx q[1], q[6];
cx q[2], q[0];
rz(0.011992447407230955) q[0];
cx q[2], q[0];
cx q[2], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIIIIZZI",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIZIZIIII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"... | [
0.3333333333333333,
0.16666666666666666,
0.25,
0.25,
0.41666666666666663,
0.41666666666666663,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.3333333333333333,
0.21666666666666667,
0.05,
0.16666666666666666,
0.08333333333333333,
0.5,
0.216666666... | 0.745624 | [
-0.010601143109610571,
-0.0011898082924529194,
0.011992447407230955,
-0.0007450370827082549,
-0.0008459161145294445,
-0.0005498123017662605,
0.0022836721277199818,
-0.0002435464113065272,
-0.3654223636760503,
-0.0005477749805932045,
-0.0052054771140693104,
1.2594243648061485,
-1.571727030095... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -4.200000000000001,
"target_ratio": 0.97,
"target_value": -4.074000000000001
} | 500 |
ae05ce72b7df15983d820553f894fc63 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [0, 223], "expectation_value": -4.195738873968627, "params": [-0.5209, 0.7964, 0.0195, 0.7377, -0.5464, 1.0862, -0.20040000000000002, 0.6132000000000001, -0.4827, 0.19340000000000002, 0.4939, 1.1949, 0.5521, 0.765, -0.2437, 0.8694000000000001, 0.5973, 0.9927, -0.44430000000000003, 0.8015, 0.5798, 1.1169, -0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2) | 6 | 8 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.24279984391901235) q[0];
h q[1];
cx q[1], q[0];
ry(-0.24279984391901235) q[0];
cx q[1], q[0];
ry(-0.0004400047019670686) q[1];
cx q[0], q[1];
ry(0.0004400047019670686) q[1];
cx q[0], q[1];
ry(-0.23967923788221276) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.145401828... | 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": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973918 | [
-0.2908036565721266,
1.3209232710417103,
-0.002736437045535332,
1.0136834876312257,
0.4855996878380247,
-0.0008800094039341372,
-1.5378684118805621,
0.2774179041563867,
2.132930272990895,
0.5447618955045739,
-0.6844614367496664,
0.10784489451936338,
0.11545183609082532,
0.4135026459357565,... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 69 |
fbeca3287c88ac656e8f44e35837a20d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [173, 109], "expectation_value": -33.36837699923367, "params": null, "bitstrings": ["01010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.0674883042215478, 0.26759242894517665], "optimization_time": 150.84268927574158} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4621200799157078) q[0];
rz(2.5310802994442465) q[0];
rx(1.0371216398864838) q[1];
rz(1.2936490653800785) q[1];
rx(1.5502854236584591) q[2];
rz(1.6255839899431388) q[2];
rx(2.0270665855362484) q[3];
rz(2.37946354203517) q[3];
rx(1.626482565654) q[4];
rz(1.4004363227... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) 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[... | [
"IIIIIIZZ",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
1.5,
19,
14.5,
14.5,
6,
7.5,
-1
] | 0.977034 | [
0.4621200799157078,
0.9602839726493494,
1.0371216398864838,
-0.2771472614148176,
1.5502854236584591,
0.05478766314824232,
2.0270665855362484,
0.8086672152402733,
1.626482565654,
-0.17036000403937762,
1.5389205452174688,
0.023243864098932004,
0.6780255439029278,
-0.006324178265194772,
1.9... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 18 |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | 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": 13, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 4}, {... | {"states": [122, 118], "expectation_value": -8.53069187764905, "params": [[-0.052000000000000005], [0.0762]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007901743206444243, 0.008219266383650089], "optimization_time": 1.6506361961364746} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(1) + 5.5 * Z(0) + 9.5 * Z(3) + 17.5 * Z(2) + 7.5 * Z(5) + 4.5 * Z(4) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 116.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.04487692059288387) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.04487692059288387) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.04487692059288387) q[2];
cx q[0], q[2];
rz(-1.407887416700282) q[0];
rx(-1.579746504261589) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIIZZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
5.5,
9.5,
17.5,
7.5,
4.5,
13,
8
] | 0.980299 | [
0.04487692059288387,
1.674742329328149,
-1.4078874167002817,
1.524449490178519,
1.4439077735402985,
1.3531238677988078,
-1.3904882206449123,
1.365368687689991,
-1.5824772102595346,
-1.579746504261589,
0.6397278070183063,
0.013864599543888398,
-1.8275840771615182,
1.1558042727426383,
0.12... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 48 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1967, 1965], "expectation_value": -4.994903655594172, "params": [1.5502, 0.0018000000000000002, 3.0302000000000002, 0.0002, 1.7082000000000002, 0.0, 1.6279000000000001, 0.0027, 3.0444, 0.009600000000000001, 1.5509000000000002, 0.0058000000000000005, 3.0359000000000003, 0.0057, 1.5489000000000002, 0.0095, 3.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100001001", "100100001010", "100100010001", "100010001001", "010010100001", "001001100100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
6520583511281792185 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 6], [2, 4, 5, 6, 7], [0, 2, 5, 6, 7, 8], [0, 3, 4, 5, 6], [0, 2, 3, 4, 6, 8], [0, 1, 3, 6, 7], [0, 1, 3, 5], [2, 3, 6, 7, 8], [0, 1, 2, 3, 4, 6], [8, 0, 2, 1], [0, 3, 4, 5, 8], [0, 1, 5, 8], [0, 1, 3, 4, 8], [0, 1, 2, 3, 7]]} | {"states": [365, 251], "expectation_value": -2.090006756906493, "params": [[0.36200000000000004], [-0.35300000000000004]], "bitstrings": ["010010010", "100000100"], "total_optimization_steps": 40, "probabilities": [0.007634995216093289, 0.008912128548042027], "optimization_time": 6.70564603805542} | 0.3833333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.2833333333333333 * (Z(6) @ Z(8)) + 0.16666666666666669 * (Z(2) @ Z(1)) + 0.2 * (Z(2) @ Z(8)) + 0.2 * (Z(2) @ Z(6)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.11666666666666667 * (Z(4)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0833333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.016666666666667, "smallest_bitstrings": ["100000100"], "largest_eigenvalue": 14.000000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.043296373696861984) q[8];
cx q[1], q[8];
cx q[1], q[6];
rz(-0.039495741897947606) q[6];
cx q[1], q[6];
cx q[1], q[2];
rz(-0.004611187955451977) q[2];
cx q[1], q[2];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} | [
"ZIIIIIIZI",
"IIZIIIIZI",
"ZIZIIIIII",
"IIIIIIZZI",
"ZIIIIIZII",
"IIZIIIZII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIZIZIIII",
"IIIIZIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIZZIIIII",
"IIIZIIZII",
"IIIZZIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZZIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"... | [
0.3833333333333333,
0.25,
0.2833333333333333,
0.16666666666666669,
0.2,
0.2,
0.08333333333333334,
0.13333333333333336,
0.16666666666666666,
0.11666666666666667,
0.16666666666666666,
0.16666666666666669,
0.13333333333333336,
0.08333333333333334,
0.15000000000000002,
0.1,
0.08333333333... | 0.972229 | [
-0.043296373696861984,
-0.039495741897947606,
-0.05567390228164778,
-0.004611187955451977,
0.03621573117252402,
-0.004010582931739151,
-0.037168387019184866,
0.08939080295333307,
-0.020516058370894638,
0.1405268809629992,
0.06705011501274064,
0.006546126660683115,
0.14002958106747404,
-0.1... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -3.0833333333333344,
"target_ratio": 0.97,
"target_value": -2.990833333333334
} | 116 |
b92c16178f977d94a04901a5809941e1 | 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": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -21.49851258807808, "params": [0.0032, 0.0043, -0.0029000000000000002, 1.0181, 1.6091, 0.006200000000000001, 0.002, 0.002, 0.0026000000000000003, 0.0048000000000000004, 0.0022, 0.0089, 0.0024000000000000002, 0.0077, 0.0023, 0.0051, 0.0022, 0.003, -0.0026000000000000003, 0.0082,... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + 4.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(10)) + -2.25 * (Z(7) @... | 4 | 11 | 1 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.3275198513596131) q[0];
rz(1.8166598013192008) q[0];
rx(-0.06429994971731434) q[1];
rz(1.7222673694459125) q[1];
rx(0.8135767518249047) q[2];
rz(1.6135704463913) q[2];
rx(-0.031199877835869107) q[3];
rz(1.7254602191006292) q[3];
rx(0.0068836676576478064) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IZIIIIIZIII",
"IIIIZIIIIZI",
"ZIIIIIIIIZI",
"ZIIIIIIIZII",
"ZIIIZIIIIII",
"IIIIIZIZIII",
"ZIIIIZIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZIIIIZIIII",
"IIIZIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-1.5,
-0.75,
-1,
4,
-1.5,
-0.5,
-1,
-0.5,
-0.75,
-1.5,
-2,
-0.75,
-2.25,
-1.5,
-0.5,
-1.25,
-0.5,
-0.25,
-2.25,
0.25,
3.25,
0.5,
1.5,
-1.5,
1.25,
-0.5,
-1.75
] | 0.973345 | [
-0.3275198513596131,
0.24586347452430266,
-0.06429994971731434,
0.15147104265101693,
0.8135767518249047,
0.042774119596403676,
-0.031199877835869107,
0.15466389230573124,
0.006883667657647807,
0.3842708451905318,
0.33659331499359174,
0.28281537468596357,
-0.1679198272155051,
-0.04223494243... | {
"n_parameters": 106,
"n_qubits": 11,
"optimal_eigenvalue": -27.75,
"target_ratio": 0.97,
"target_value": -26.9175
} | 9 |
5034f358b60bb2416ead39a148c379a9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [4, 20], "expectation_value": -3.5192408522555043, "params": [0.4471, -0.1751, 0.0023, -0.4063, 0.0023, 0.606, 0.0028, 0.5978, 0.0026000000000000003, 0.5987, 0.8102, 0.0086, 0.002, 0.454, 0.7998000000000001, 0.46440000000000003, 0.7908000000000001, 0.3195, 0.0028, 0.6069, 0.4441, 0.0031000000000000003, 0.002... | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 18 | 10 | 2 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111101011", "1111000011", "1111000101", "1110100011", "1110100101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14975641425785782) q[0];
rz(-0.24066575353239905) q[0];
rx(-0.029767164686135283) q[1];
rz(0.3653588270419897) q[1];
rx(0.3317262262044513) q[2];
rz(0.5082732848714967) q[2];
rx(-0.15126513794220642) q[3];
rz(-0.4534054877104098) q[3];
rx(-0.15126513794220642) 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": 4} | {"circuits": [], "gradients": []} | [
"ZIIZIIIIII",
"ZIIIIIZIII",
"IIIZIIZIII",
"ZIIIIZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI"... | [
0.5,
-0.5,
-1,
-0.5,
-1,
1,
-1,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.16666666666666666,
-1,
0,
0,
0,
1,
0.5,
0.5,
0.33333333333333337,
-0.3333333333333333,
-0.3333333333333333
] | 0.971455 | [
-0.14975641425785782,
-0.11209317022898643,
-0.029767164686135283,
0.3653588270419897,
0.3317262262044513,
0.5082732848714967,
-0.15126513794220642,
-0.4534054877104098,
-0.5290115692496197,
3.337196961070229,
0.5105458374502797,
-0.0002835019568109137,
0.29026291769365165,
2.8482360447786... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 30 |
b7602418da2fb1da8d0e3bf56e052253 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [44, 39], "expectation_value": -0.05635356014449264, "params": [[0.0334], [-0.0347]], "bitstrings": ["1010011", "1011000"], "total_optimization_steps": 10, "probabilities": [0.008049241813544697, 0.00815783086184726], "optimization_time": 1.4868805408477783} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.19413541781266302) q[0];
rz(0.4737143075248884) q[0];
rx(1.3481450265531563) q[1];
rz(0.7101312274980032) q[1];
rx(0.08114689032242231) q[2];
rz(0.39298482269195745) q[2];
rx(0.05382342065610063) q[3];
rz(-0.4688239600116697) q[3];
rx(1.4947674538218447) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-0.5,
-1,
-1.5,
-0.5
] | 0.970244 | [
-0.19413541781266297,
0.4032852255685598,
1.3481450265531563,
0.35847725960509413,
0.08114689032242232,
0.23884228912775574,
0.05382342065610062,
-0.3631398892310509,
1.4947674538218447,
0.14683342555344495,
1.7859017636948948,
0.04798825882582202,
1.7853225188419513,
0.28173152310392174,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
a6da0588e4f06076b5c2f06ef98c16c3 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [112, 97], "expectation_value": -3.4890655849039938, "params": null, "bitstrings": ["0001111", "0011110"], "total_optimization_steps": 29, "probabilities": [0.06023653945128992, 0.8645368914475874], "optimization_time": 24.05322027206421} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1000111", "1010110", "0011110", "0111100", "0111001", "0001111"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
4816d8f1ff3fcf1f26d33946dcce79cf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [172, 170], "expectation_value": -4.23695139008782, "params": [0.8981, 0.0025, 0.09190000000000001, 0.3951, 0.9024000000000001, -0.0023, -0.0031000000000000003, 0.3165, 0.9064000000000001, 0.0011, 0.8149000000000001, 0.0109, 0.8993, -0.0233, 0.5954, -0.1236, 0.904, 0.0771, 0.0796, 0.4244, 0.9007000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(3) + -1.0 * Z(7) + ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01010101"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.6026145562578797) q[0];
rz(1.4317042572050749) q[0];
rx(-0.019500574013069524) q[1];
rz(2.1312497718782506) q[1];
rx(1.512125373790639) q[2];
rz(1.5185098326712279) q[2];
rx(-0.19529309928938243) q[3];
rz(1.6544519173823957) q[3];
rx(1.5995226946423722) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIIZI",
"IZIIZIII",
"ZZIIIIII",
"IIIIZZII",
"IZZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-1,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.972443 | [
1.6026145562578795,
-0.13909206958982132,
-0.019500574013069524,
0.5604534450833538,
1.5121253737906393,
-0.052286494123668925,
-0.19529309928938246,
0.0836555905874981,
1.599522694642372,
-0.11325046590500537,
0.6435205970609649,
-0.46056416064325717,
2.0849605571093672,
-0.08422748147474... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
347cd23786ada5a7ec96f3799dd0d8dc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [171, 117], "expectation_value": -21.003525534788952, "params": null, "bitstrings": ["01010100", "10001010"], "total_optimization_steps": 100, "probabilities": [0.09235583992557893, 0.1219335732334597], "optimization_time": 151.13090014457703} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
rz(... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5.5,
4.5,
18,
13.5,
2.5,
16.5,
9,
13.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
ebd69c09281f87c62725144285e9ce8c | 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": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [402, 434], "expectation_value": -5.111421075554775, "params": [0.2999, 0.30210000000000004, 0.3052, 0.303, 0.0016, -0.0045000000000000005, 0.3017, 0.29810000000000003, 0.301, 0.30820000000000003, 0.012700000000000001, 0.0188, 0.231, 0.2056, 0.3042, 0.2993, -0.005, -0.0058000000000000005, 0.3062, 0.3028, 0.3... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(5) + -0.5 * Z(0) + -1.5 *... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001001101", "011001001"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.2297118546977018) q[0];
rz(pi/2) q[0];
ry(0.8755643937845231) q[1];
ry(0.3100473346110489) q[2];
ry(0.5923605434433818) q[3];
ry(0.6140761337118392) q[4];
ry(0.1609760130270968) q[5];
ry(-0.13070768986148348) q[6];
ry(0.6105558921036226) q[7];
ry(0.1660209018429419... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIIIZIZII",
"ZZIIIIIII",
"IZIIIIZII",
"IIIZIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"... | [
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,
-1.5,
-0.5,
-1.5,
-1,
-2,
-1.5,
0,
-0.5,
0
] | 0.974359 | [
0.2297118546977018,
0.8755643937845231,
0.3100473346110489,
0.5923605434433818,
0.6140761337118392,
0.1609760130270968,
-0.13070768986148348,
0.6105558921036226,
0.16602090184294196,
-0.2626606145791387,
0.05575519457123203,
0.43892028829299795,
0.08528257188231622,
0.3516265603607992,
-... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 26 |
50803b752054f0512687e537ee7368f9 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 3, "target": 5}, {"weight": 1, "... | {"states": [2773, 2709], "expectation_value": -0.13495094347248074, "params": [0.3956, 0.0079, 0.3977, 0.0059, 0.37460000000000004, -0.020900000000000002, 0.3672, -0.028200000000000003, 0.3972, 0.0008, 0.3971, 0.0012000000000000001, 0.31970000000000004, 0.027, 0.31120000000000003, 0.0159, 0.4011, 0.004, 0.3932, 0.002, ... | 0.25 * (Z(0) @ Z(1)) + -0.0015 * (Z(2) @ Z(0)) + -0.0015 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0005000000000000001 * (Z(4) @ Z(0)) + -0.0020000000000000005 * (Z(4) @ Z(2)) + 0.0005000000000000001 * (Z(5) @ Z(1)) + -0.0020000000000000005 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005000000000000001 * (Z(6) @ Z(0))... | 6 | 12 | 2 | {"smallest_eigenvalues": [-1.519499999999999, -1.519499999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5154999999999998, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5205000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0015,
-0.0015,
0.25,
0.0005000000000000001,
-0.0020000000000000005,
0.0005000000000000001,
-0.0020000000000000005,
0.25,
0.0005000000000000001,
0.0005000000000000001,
0.00025000000000000006,
0.0005000000000000001,
0.0005000000000000001,
0.00025000000000000006,
0.25,
-0.0015,... | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
351f46008c2fa6d2dfb6c8e40fb9b957 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [185, 697], "expectation_value": -2.710290491584449, "params": [0.3509, 0.1051, 0.3491, 0.1423, 0.24200000000000002, 0.30910000000000004, 0.17550000000000002, 0.3074, 0.4153, 0.0235, 0.42160000000000003, 0.1105, 0.14450000000000002, -0.19990000000000002, 0.1484, -0.20550000000000002, 0.4577, -0.0443, 0.4515,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 7 | 10 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001100", "0011000110", "0011000101", "0010011100", "0101000110", "10100011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02360863634851629) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6025832086286227) q[1];
h q[2];
ry(1.5359581859684985) q[2];
h q[3];
h q[4];
ry(1.5359581859684985) q[4];
cx q[4], q[0];
ry(0.13101347429035654) q[0];
cx q[4], q[0];
ry(0.06662405253547206) q[0];
rz(-pi) q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIZIZI",
"IIIIIZIZII"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
0.125,
0.125,
0.125,
0,... | 0.996003 | [
-1.6025832086286227,
-1.6617063127341019,
-1.4161742161560238,
1.5359581859684985,
-1.14681967659647,
0.7822968069285475,
-0.26202694858071307,
-0.29365619199419124,
0.6362347573183261,
-0.4206669012927168,
0.26387033649728336,
-0.19180926143591331,
0.17578383679714263,
0.18814493391960324... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
8b93e94e7d120e46148ad446833ed9fa | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5},... | {"states": [2040, 2047], "expectation_value": -1.8165921271323469, "params": [[0.0545], [-0.0495]], "bitstrings": ["00000000111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0007828729468063189, 0.0007895266899638682], "optimization_time": 0.9872074127197266} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3... | 1 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.2516066485706654) q[0];
ry(0.14225561708995127) q[1];
ry(-0.03840338888089845) q[2];
ry(0.014523612680970667) q[3];
ry(-0.03840338888089845) q[4];
ry(0.06077077514832882) q[5];
ry(-0.2588081100009064) q[6];
ry(-0.0636328262608635) q[7];
ry(-0.006558717681828641) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIZIII",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIII... | [
-1,
-3,
0.5,
-3,
-2.5,
-3,
1.5,
1,
-3,
-2.5,
-3,
1,
-3,
-2.5,
-3,
1.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5
] | 0.976086 | [
-0.2516066485706654,
0.14225561708995127,
-0.03840338888089845,
0.014523612680970667,
0.06077077514832882,
-0.2588081100009064,
-0.0636328262608635,
-0.006558717681828641,
-0.21710259853136601,
0.5032913670811486,
3.0848630393650267,
0.11878388473033642,
-0.03314435296134136,
-0.0000936705... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 50 |
e1d1d966936db8b0a168f391b43f0ca9 | 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": [1122, 1126], "expectation_value": -87.57144485254547, "params": [2.7042, 0.004200000000000001, 0.5177, 0.007, -0.0019, 0.0017000000000000001, -0.0024000000000000002, 0.0077, 2.6981, 0.0038, 2.708, 0.0082, 1.4789, 0.0022, 1.3754, 0.0043, 1.5806, 0.0083, 2.7069, 0.00030000000000000003, -0.0025, 0.003400000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 5.5 * Z(0) + 15.0 * Z(5) + -6.0 * Z(2) + 11.0 * Z(6) + 13.0 * Z(4... | 18 | 11 | 1 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["01110011001"], "largest_eigenvalue": 176.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.109054113304779) q[0];
ry(-0.04545100894231509) q[1];
ry(-0.006286048583102971) q[2];
ry(-0.0391072894566135) q[3];
ry(0.34403695687638874) q[4];
ry(0.46986553491634225) q[5];
ry(-0.0330342111423434) q[6];
ry(0.43150089907018224) q[7];
ry(0.23417056330047997) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"IIIZIIIIIIZ",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IZIIIIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
0.5,
5.5,
15,
-6,
11,
13,
15.5,
9.5,
6,
-10,
-13.5
] | 0.973196 | [
1.109054113304779,
-0.04545100894231509,
-0.006286048583102971,
-0.0391072894566135,
0.34403695687638874,
0.46986553491634225,
-0.0330342111423434,
0.43150089907018224,
0.23417056330047997,
1.2370415072675676,
0.9905206747909886,
-0.07224108629527548,
0.12117429166799129,
-0.08022276263326... | {
"n_parameters": 41,
"n_qubits": 11,
"optimal_eigenvalue": -116,
"target_ratio": 0.97,
"target_value": -112.52
} | 16 |
c8cf809fba905d2efd77771dd1d79347 | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [196, 204], "expectation_value": -4.366488145460275, "params": [0.39840000000000003, -0.0049, 0.39930000000000004, -0.0044, 0.4035, -0.00030000000000000003, 0.404, -0.0001, 0.0027, 0.2142, -0.00030000000000000003, 0.2124, -0.0167, 0.229, -0.0187, 0.22970000000000002, 0.35660000000000003, 0.001200000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + -0.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z(3) + 0.... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110001", "00110011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.41912945318714334) q[0];
rz(-0.08347603423133032) q[0];
rx(0.5622462057572245) q[1];
rz(-0.016965116824425114) q[1];
cx q[1], q[0];
rz(0.06340278900317442) q[0];
cx q[1], q[0];
rz(1.5399966433921692) q[0];
ry(0.9564511159756163) q[0];
rz(-1.6035114821882994) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IZIIIIZI",
"IIIZIZII",
"ZIIZIIII",
"IZIIZIII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-0.5,
-0.5,
-1,
-1,
0
] | 0.973498 | [
0.4191294531871433,
-0.020073245228155803,
0.5622462057572245,
-0.016965116824425114,
0.007742345957917875,
0.19947647792844958,
-0.014990607551226203,
0.1447306307527643,
0.4961245487546899,
-0.1043712391260339,
0.6665456416182285,
-0.039117055288315286,
0.025381647958873366,
0.0541468101... | {
"n_parameters": 107,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 6 |
56c0c0bc0b849747ea8b27c6bdb966f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"sour... | {"states": [142, 174], "expectation_value": -3.980414954136813, "params": [1.5752000000000002, -0.0011, 1.6119, 0.0035, 0.5398000000000001, 0.0029000000000000002, 1.6128, -0.0028, 0.8277, -0.5972000000000001, 1.5995000000000001, 0.0013000000000000002, 1.5986, 0.0036000000000000003, 1.601, -0.5694, 0.0029000000000000002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(7) + -1.5 * Z(8) + -1.0 * Z(2) + -0.5 * Z... | 4 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.1845507885111894) q[0];
rz(1.5867043491562303) q[0];
rx(-3.1093015434865343) q[1];
rz(1.1898875079561124) q[1];
rx(-0.21711769490147023) q[2];
rz(1.3575950213601544) q[2];
rx(2.9190342732781267) q[3];
rz(2.1271494747654067) q[3];
rx(0.04553794024092173) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"ZIZIIIIII",
"IIZIIIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
-1,
0
] | 0.977988 | [
2.1845507885111894,
0.01590802236133375,
3.1738837636930524,
-0.38090881883878364,
-0.21711769490147026,
-0.21320130543474228,
2.9190342732781267,
0.5563531479705107,
0.045537940240921726,
-1.5563028972242505,
1.5577788402444246,
-0.09966182317760265,
2.6474145878283784,
-0.043801353909147... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 29 |
dad38620d773633bef63523b985cc4e3 | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [127, 63], "expectation_value": -18.518819671713327, "params": [[[-1.61, 0.0082], [0.0024000000000000002, 0.008400000000000001], [0.0023, 0.0098], [0.0025, 0.0098], [0.0023, 0.0074], [0.0023, 0.0028], [3.1619, 0.003]]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 320, "probabilities": [... | -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + 0.5 ... | 2 | 7 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.24981548689144512) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6064908864021876) q[1];
rz(-pi) q[2];
ry(-0.13914387638666512) q[2];
h q[3];
ry(-1.6064908864021876) q[3];
h q[4];
ry(-1.6064908864021876) q[4];
h q[5];
ry(0.9318717701780149) q[5];
h q[6];
cx q[6], q[5];
ry(-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[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IIIZIZI",
"IIZZIII",
"IZIZIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIIIIIZ"
] | [
-3,
0.5,
-2.5,
1,
-3,
-2.5,
0.5,
-2.5,
-2,
1,
-2,
1,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970165 | [
-1.6064908864021876,
-1.5304245341144085,
-1.5054957192055463,
1.8637435403560298,
1.7142630971988937,
0.41888738842191353,
-0.40131913225229343,
-0.512005429504395,
-0.6739855231293809,
-0.408888967952031,
0.34819861737409885
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 47 |
a238ea382c7dc73ed8f6a6edbed535c4 | 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": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -7.244037652133843, "params": [-0.0345, -0.0267, -0.0235, -0.0109, -0.007200000000000001, 0.19790000000000002, -0.0002, 0.2323, 0.3017, 0.0004, 0.3005, 0.0005, -0.0025, 0.23650000000000002, -0.0031000000000000003, 0.2361, -0.0017000000000000001, 0.2074, -0.0031000000000000003, ... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(10)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z... | 6 | 11 | 3 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["11010010110", "11011111111", "11010010111", "11000010110", "11011110110", "11011110111", "11011111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.029121938353625244) q[0];
rz(1.8249584730600734) q[0];
rx(-0.09640474654279875) q[1];
rz(1.7743608684193646) q[1];
rx(0.45819249327081935) q[2];
rz(1.6257453785452274) q[2];
rx(0.07527415840908407) q[3];
rz(1.5615067193470011) q[3];
rx(0.21183844744386748) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"IIIIIIIZIZI",
"ZIIIIIIZIII",
"IIIIIIZIIZI",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"ZIIIIIIIZ... | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-1,
-0.25,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-0.25,
-0.5,
-1.25,
-0.25,
0.5,
0.75,
-0.5,
0.5,
0,
0.25,
-0.25,
-0.25,
0.5
] | 0.973851 | [
0.029121938353625244,
0.2541621462651768,
-0.09640474654279876,
0.20356454162446716,
0.45819249327081935,
0.054949051750331046,
0.07527415840908405,
-0.009289607447895198,
0.21183844744386748,
0.4012852061568687,
0.18004481960648405,
0.19590532013610717,
0.20057706929115643,
-0.21944827791... | {
"n_parameters": 134,
"n_qubits": 11,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 8 |
4ce3f767ff46d68a338dc8273a45916a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 8}, {"source": 2, "target": 10}, {"source":... | {"states": [0, 768], "expectation_value": -1.1071250684267877, "params": [[0.0367], [-0.025]], "bitstrings": ["1111111111", "0011111111"], "total_optimization_steps": 10, "probabilities": [0.0012044791562776799, 0.0012132588567563716], "optimization_time": 1.1049811840057373} | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -3.5 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(2)) + -3.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(8)) + -3.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(8)) + 1.5 * (Z(4) @ Z(9)) + 1.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(8)) + -4.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-38.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["0011111111"], "largest_eigenvalue": 36.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.8257656094095063) q[0];
cx q[1], q[0];
rz(-0.23486589226033505) q[0];
rx(-1.0938997542498101) q[0];
rz(-0.23486589226033505) q[1];
rx(-1.0938997542498101) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.6934326362709677) q[2];
cx q[3], 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IZIIIIZIII",
"IZIIIIIZII",
"ZIIIIIZIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIZIIZIII",
"IIIZIIIZII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIZIII"... | [
-1,
-3,
-3.5,
-3.5,
-3.5,
-3,
1.5,
-3.5,
1,
-3.5,
1.5,
1,
0.5,
1,
-4,
-4,
0.5,
0.5,
-2.5,
0.5,
0.5,
-3.5,
0.5,
1,
-3,
0.5,
0.5,
0.5,
-2.5,
2,
-3,
-3,
-2.5,
1.5,
0.5,
1
] | 0.5479 | [
-1.8257656094095063,
-0.6934326362709677,
-0.3474208227529758,
-0.15921451700361208,
-0.1718799773829787,
-0.23486589226033489,
-0.31428418951947323,
-0.9740904044906488,
-0.59499950216267,
-1.0938997542498101
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -38,
"target_ratio": 0.97,
"target_value": -36.86
} | 251 |
475b2f0a232bb0d3ab64793dc24452cb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [14, 28], "expectation_value": -4.9965155484111605, "params": null, "bitstrings": ["1110001", "1100011"], "total_optimization_steps": 24, "probabilities": [0.0670089640007756, 0.929746062324705], "optimization_time": 27.44840908050537} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100110", "1100011", "1110001", "0110101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.141203751720873) q[0];
rz(0.09974369464535335) q[0];
ry(0.015768995776254083) q[1];
rz(0.44914816173938016) q[1];
cz q[1], q[0];
ry(0.5410146253572999) q[0];
rz(-0.19742549213463792) q[0];
ry(0.12366692714844989) q[1];
ry(-0.016500857305919166) q[2];
rz(0.10374467... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IZIIIZI",
"IZIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-0.5,
-1.5,
0,
-1
] | 0.97721 | [
1.141203751720873,
0.09974369464535335,
0.015768995776254083,
0.44914816173938016,
-0.016500857305919166,
0.10374467845304794,
-0.1481527973051474,
0.6300814671890728,
1.328520900525819,
0.1895073173007843,
0.01232531009892275,
0.6650802867782362,
1.1343582893231279,
0.0028847169183136567,... | {
"n_parameters": 90,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 75 |
-5645140833631158210 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 4], [1, 10], [5, 6], [0, 2], [2, 7], [4, 6], [11, 6], [5, 7], [9, 10], [10, 6], [9, 6], [10, 5], [8, 3], [2, 5], [8, 0], [8, 5], [8, 11], [0, 1], [0, 7], [8, 10], [9, 11], [1, 4], [10, 11], [9, 4]]} | {"states": [2497, 2499], "expectation_value": -0.3636158768041979, "params": [[[1.8212000000000002, 0.0088], [1.3497000000000001, 0.0057], [1.3529, 0.0091], [1.7517, 0.0016], [1.7909000000000002, 0.0083], [1.8211000000000002, 0.0097], [1.3444, 0.0034000000000000002], [1.3189, 0.006500000000000001], [1.3652, 0.0023], [1... | 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["011000111100", "100111000011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.988583218836154) q[0];
rz(1.6799387703807218) q[0];
rx(-0.04566730902948943) q[1];
rz(1.1696211212944578) q[1];
rx(-0.3986599772822973) q[2];
rz(0.9529822154889149) q[2];
rx(3.4314424264189753) q[3];
rz(1.0353133365884686) q[3];
rx(3.090227965474569) q[4];
rz(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIIZIIZI",
"IZIZIIIIIIII",
"IZIIIIIIIIZI",
"IIIZIIZIIIII",
"IZIIIIZIIIII",
"IIIIIZIZIIII",
"IZIIIZIIIIII",
"IIIIIZZIIIII",
"IIIZIIIIIIIZ",
"IIIIIIIIIIZZ",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIIIZIZIIIII",
"IIIIZIIIIIIZ",
"IIIIZIIIIZII",
"ZIIZIIIIIIII",
"ZZIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.98061 | [
2.988583218836154,
1.6799387703807218,
-0.04566730902948943,
1.1696211212944578,
-0.3986599772822973,
0.9529822154889149,
3.4314424264189753,
1.0353133365884686,
3.090227965474569,
-0.5346068631367893,
3.045151139411456,
-2.207526173912668,
-0.22455076081320813,
0.5615572020838429,
-0.01... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 49 |
9e7016c164f10697b0206c1127149a76 | kclique | qaoa | {"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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [17, 3], "expectation_value": -3.881367808458391, "params": [[0.0635], [-0.0666]], "bitstrings": ["101110", "111100"], "total_optimization_steps": 10, "probabilities": [0.021024357776157538, 0.021303626116948738], "optimization_time": 2.7063491344451904} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 16 | 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[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0017965964091332248) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0017965964091332248) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0017965964091332248) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0017965964091332248) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"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,
2.5,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-6,
-5.5,
-5.5
] | 0.981987 | [
0.0017965964091332248,
-0.07551128298742306,
1.2634867789247113,
-1.4711869636840829,
1.2568819748851656,
-0.04637896190664645,
-0.0710626490461622,
0.48661910135770714,
0.5319265632727552,
0.3667675496563035
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 29 |
2600781715020844595 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 4], [0, 3], [0, 11], [3, 5], [10, 3], [8, 11], [8, 10], [9, 7], [9, 10], [1, 9], [8, 3], [8, 9], [1, 10], [9, 6], [10, 7], [8, 6], [2, 7]]} | {"states": [3390, 3134], "expectation_value": -0.005971424241197551, "params": [1.5889, 0.0004, 1.6289, 0.0044, 1.5298, 0.0074, 1.5664, 0.0055000000000000005, 1.5039, 0.0089, 1.566, 0.0008, 1.5923, 0.0012000000000000001, 1.617, 0.0055000000000000005, 1.5938, 0.008700000000000001, 1.6232, 0.004, 1.5945, 0.0023, 1.5485, ... | 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(2)) + 0.5... | 16 | 12 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["110000111110", "101010010011", "110000110110", "001111001001", "010101101100", "001111000001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.0827997346709515) q[0];
rz(0.053048305351621305) q[0];
rx(-0.06325004748626913) q[1];
rz(-0.3376066830695632) q[1];
cx q[1], q[0];
rz(0.08263414080817838) q[0];
cx q[1], q[0];
rz(0.6692294701801995) q[1];
rx(-2.9599476097264636) q[2];
rz(2.2361162667191863) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIIIIII",
"IIIIIIZIIIIZ",
"IIIIIIIIZIIZ",
"IIIIZIZIIIII",
"ZIIIIIIIIZII",
"IIIIIIZIIZII",
"ZZIIIIIIIIII",
"IZIIIIZIIIII",
"IZIIIIIIZIII",
"IZIIIIIIIZII",
"ZIZIIIIIIIII",
"IIZIIIIIIZII",
"ZIIIIIIIIIZI",
"IIIIIIIIIZZI",
"ZIIZIIIIIIII",
"IZIZIIIIIIII",
"IIZIIIIZIIII",
"IIIIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.975395 | [
0.08279973467095152,
0.1356824461597998,
-0.06325004748626913,
-0.3376066830695632,
3.323237697453123,
1.4648685366874532,
3.1640839488422197,
0.3509872081196108,
3.4081048069748703,
2.3069289156788955,
3.2483906548099104,
-0.6773511273268764,
0.06407665980099089,
0.6581344873950812,
0.0... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 60 |
13897d244e0881b4447dd2a9a298bf14 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [123, 118], "expectation_value": -23.980552378747923, "params": [[0.0328, 0.0112, -0.0023, -0.0031000000000000003], [-0.0658, -0.0584, -0.042, -0.042300000000000004]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.015315879038231006, 0.02001454980219623], "optimi... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ 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(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 1 | 8 | 4 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) q[4];
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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
6.5,
13.5,
11,
6,
14,
14,
4.5
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
2ef120a5f38973e3e190ac7733ed0216 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [894, 878], "expectation_value": -1.1221768730015547, "params": [[[0.7219, 0.0023], [1.8869, 0.0095], [1.9007, 0.0025], [0.6962, 0.0026000000000000003], [1.9043, 0.0083], [1.8976000000000002, 0.0043], [1.5013, 0.0055000000000000005], [1.9108, 0.0068000000000000005], [1.9058000000000002, 0.0097], [1.905, 0.00... | 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(2) @ Z(6)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.125, "smallest_bitstrings": ["10100000101", "10010010001", "01010101000"], "largest_eigenvalue": 7.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.0788907138281315) q[0];
rz(0.1776063834948477) q[0];
rx(2.719412947911784) q[1];
rz(0.41922149469588965) q[1];
rx(3.4105410076006755) q[2];
rz(0.6681695517595069) q[2];
rx(-0.04861232501673668) q[3];
rz(0.06165830672405884) q[3];
rx(2.993219876924542) q[4];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZZIIIZ",
"IIIIIIZIZII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIIIZIZIZII",
"IIIZIIZIZII",
"IIIZZIIIZII",
"IIIZZIZIIII",
"IIIZZIZIZII",
"IIZIIIIZIII",
"IZIIIIIZI... | [
0.5,
0.5,
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.125,
-0.25,
0.125,
0,
0.125,
... | 0.975978 | [
0.0788907138281315,
0.1776063834948477,
2.719412947911784,
0.41922149469588965,
3.4105410076006755,
0.6681695517595069,
-0.04861232501673668,
0.06165830672405884,
2.993219876924542,
-1.4768322871414012,
3.228064687686459,
-0.05125921191622765,
-0.05656309049141578,
-0.07712886969676658,
... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 32 |
89d2568fe7c642f4bbe0504cad32fa0e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1901, 877], "expectation_value": -2.3668304770013826, "params": [[[0.47700000000000004, -0.1013], [0.7013, 0.0005], [0.6984, -0.0006000000000000001], [0.21960000000000002, -0.2391], [0.7050000000000001, -0.0012000000000000001], [0.7028, 0.0006000000000000001], [0.053500000000000006, -0.327], [0.7018, 0.0003... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(8) @ Z(7)) + -0.125 * (Z(5) @ Z(0) @ Z(7)) + ... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.6875, -4.6875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.6875, "smallest_bitstrings": ["01010100010", "10010010010"], "largest_eigenvalue": 7.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(0.6510488064459885) q[0];
ry(0.04378588005668577) q[0];
rz(-0.7443653282917815) q[0];
rz(-2.372950594380458) q[1];
ry(3.015884356875483) q[1];
rz(0.5266664547932134) q[1];
rz(1.0926014505365256) q[2];
ry(2.8843575352413366) q[2];
rz(-2.0593346073279606) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IIIZIZIIIIZ",
"IIZIIZIIIIZ",
"IIZZIIIIIIZ",
"IIZZIZIIIII",
"IIZZIZIIIIZ",
"IIIIZIIIIZI",
"IIIZIIIZI... | [
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,
0.5,
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,
-0.0... | 0.974895 | [
0.16387932263465343,
0.2491945049041832,
1.7476917823925595,
0.09060957008358773,
1.3663464747786893,
-0.11737802334225805,
-0.1689381716647338,
-0.3516920507722845,
1.4477461407260235,
-0.41411261746452094,
1.5214584827655337,
-0.03081034997782897,
0.21269534063256235,
-0.0552520021311211... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -4.6875,
"target_ratio": 0.97,
"target_value": -4.546875
} | 29 |
9155746045207150288 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2], [4, 5, 6], [0, 1, 4], [1, 3, 5], [0, 2, 4], [0, 2, 5]]} | {"states": [61, 54], "expectation_value": -0.06345275409249927, "params": [[0.07100000000000001], [-0.0748]], "bitstrings": ["1000010", "1001001"], "total_optimization_steps": 10, "probabilities": [0.00825914189917948, 0.008316501040766628], "optimization_time": 0.622450590133667} | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666665, "smallest_bitstrings": ["1001001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0027951781355706946) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04966147665288839) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.4166313235107586) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.04966147665288839) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IIIZIZI",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.4999999999... | 0.761164 | [
-0.0027951781355706946,
-0.04966147665288839,
1.4166313235107586,
-1.5343705729439567,
-1.5448393963127476
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -1.9999999999999998,
"target_ratio": 0.97,
"target_value": -1.9399999999999997
} | 142 |
6d3ac8777508c3ce14be216c4e1f05a6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [831, 319], "expectation_value": -8.38897340355047, "params": [[-0.1255], [0.2675]], "bitstrings": ["0011000000", "1011000000"], "total_optimization_steps": 30, "probabilities": [0.008174618544730203, 0.0081896466933061], "optimization_time": 2.785252571105957} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + 1.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -3.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["1011000000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.08057429614452284) q[1];
h q[2];
ry(-1.523974432714227) q[2];
h q[3];
h q[4];
h q[5];
ry(0.5904681359969723) q[5];
h q[6];
ry(0.08057429614452284) q[6];
h q[7];
ry(0.08057429614452284) q[7];
h q[8];
cx q[8], q[7];
ry(-0.08057429614452284) q[7];
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;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIZIIIIII",
"IZIIZIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IIZIIIIIZI",
"IIIZIIIIZI",
"IZIIIIIIZI"... | [
0.5,
0.5,
0.5,
-2,
-2.5,
-2.5,
-2.5,
1,
-3,
0.5,
1,
-2.5,
0.5,
0.5,
-3.5,
1,
-2.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970634 | [
0.16114859228904568,
1.597101986644958,
1.4428745348496541,
1.1809362719939447,
-0.4517791622332738,
0.5875480846224597,
1.3527533651081518,
0.08364002773227641,
0.07129339641685088,
1.4084096071731513,
-0.05052921803157275,
0.49045127925713805,
-1.523974432714227,
-0.1306375983469747,
-... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 89 |
38980211450f7282c15e0ab435ff2cd6 | min_cut | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [0, 1], "expectation_value": -4.578787309197593, "params": [[[0.0033, 0.4242], [0.0022, 0.6039], [0.0028, 0.5978], [0.0025, 0.5938], [0.0024000000000000002, 0.4786], [0.8058000000000001, -0.0038]], [[0.0038, 0.009600000000000001], [0.0022, 0.0004], [0.0028, 0.0051], [0.0025, 0.0068000000000000005], [0.0022, ... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.18057532849171046) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.18057532849171046) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.15240128173497133) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.4649246212783777) q[1];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIZIII",
"ZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.25,
1.25,
0.25,
-0.25,
0,
-0.5,
-0.5,
1
] | 0.970699 | [
0.18057532849171046,
0.15240128173497133,
0.4649246212783777,
-0.16816126659960623,
-0.38958804491802196,
0.6933538979276795,
0.5762777327646811,
-0.6736008592295458,
1.3898734088318323,
0.35834720452177266,
0.2611471404449328,
0.6354636015951395,
-0.12256652965784247,
-0.6716227081292513,... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 144 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [6, 9], "expectation_value": -0.1749240019709307, "params": [[-0.0368, 0.0543, 0.0704, 0.0653], [0.0799, -0.0051, -0.0454, -0.054400000000000004]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.077866340067406, 0.077866340067406], "optimization_time": 2.3792150020599365} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
c31960310eb284d493a369e45529e3bd | 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": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [241, 236], "expectation_value": -18.514209659497563, "params": [[-0.0281, -0.0196], [0.0543, 0.0659]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0059054835172070936, 0.006623541905821077], "optimization_time": 3.530367851257324} | 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(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.667260209605278e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.667260209605278e-08) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"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,
16.5,
7,
17.5,
12.5,
12.5,
17.5,
10.5,
9.5,
-6
] | 0.859873 | [
-1.667260209605278e-8,
1.5707964046189828,
-1.5707962989502005,
1.5707963666512932,
1.570796331640382,
1.5707964093486493,
-1.5707963413629793,
-1.570796379010887,
-1.570796324325231
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 247 |
f27f895781baa6e2730634ac306954bc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [187, 155], "expectation_value": -3.9777559082048284, "params": [[[-0.0177, -0.3099], [0.6015, -0.0023], [-0.016900000000000002, -0.31220000000000003], [0.49210000000000004, -0.057], [0.6006, -0.004], [0.5675, 0.0009000000000000001], [-0.0067, 0.315], [0.6007, 0.0038], [0.6046, 0.0033]], [[-0.014700000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(3) + -2.0 * Z(6) + -0.5 * Z(8) + 0.0 * Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["001100101", "101100100", "110100100", "101001100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.3248113095491463) q[0];
ry(0.11209007790396767) q[0];
rz(1.4921296740924062) q[0];
rz(-2.8886166914447005) q[1];
ry(2.905273154811763) q[1];
rz(0.5336596413968033) q[1];
rz(-1.9623118753234339) q[2];
ry(0.3539252336839775) q[2];
rz(1.3627199896501487) q[2];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIZZI",
"IIIZIZIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-2,
-0.5,
0,
0,
0,
0
] | 0.978778 | [
-0.0038715822543198123,
0.25522095025163294,
1.0240606393074938,
0.14802774918311074,
-0.08389536138141343,
-0.5351562140365536,
0.5276589017496107,
-0.3276504343703232,
0.9916179774455682,
-0.08409550339726574,
0.9816804323363971,
0.38042971942365034,
0.11538248027696091,
-0.0163463514244... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 23 |
f873cf0048fc44701f70d0f09e6d1420 | 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": 4}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [85, 87], "expectation_value": -7.981229824185594, "params": [[0.1096, 0.0682, 0.111, 0.11280000000000001], [-0.2707, -0.19640000000000002, -0.1487, -0.1622]], "bitstrings": ["10101010", "10101000"], "total_optimization_steps": 30, "probabilities": [0.06037593525418859, 0.06113154038494095], "optimization_ti... | -0.5 * (Z(0) @ Z(4)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10101010", "10101000"], "largest_eigenvalue": 11.25} | 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(-0.019342749178970584) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.014010937666325912) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(-0.40172858844056397) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.045586839198308124) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZZIII",
"IIIIZIZI",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-0.5,
-1,
-1.25,
-1,
0.75,
-0.5,
-2,
-0.5,
-0.75,
-1,
-0.75,
-1,
-0.25,
-1.5,
-0.25,
0.25,
1,
-0.25,
-0.75,
-1,
2.5
] | 0.97358 | [
-0.019342749178970584,
0.014010937666325912,
-0.40172858844056397,
1.3215843607999782,
0.045586839198308124,
0.047875307479368884,
-1.382927662054454,
-0.32507020581930796,
0.3627544489084335,
0.2937061290503934,
1.2911586018850818,
-1.5963506187461252,
-0.09288222632734316,
0.057826197005... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 264 |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [237, 236], "expectation_value": -2.0112667594124685, "params": [0.5051, -0.0007, 0.5021, 0.0009000000000000001, 0.49660000000000004, 0.0, -0.0027, 0.3784, 0.5045000000000001, 0.0056, 0.5071, 0.0009000000000000001, -0.0026000000000000003, -0.35250000000000004, 0.30010000000000003, 0.10010000000000001, 0.5081... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 16 | 8 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 5.25} | 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] 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",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.125,
0.125,
-0.625,
0.125,
... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-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 |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -1.2142980620402244, "params": [[-0.0522, -0.0308, -0.0512, -0.0572], [0.07690000000000001, 0.039400000000000004, 0.0579, 0.058]], "bitstrings": ["111110", "110000"], "total_optimization_steps": 10, "probabilities": [0.03442377350020129, 0.03544807343479692], "optimization_time"... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(7.90274469494533e-08) q[0];
ry(-0.7853982620761846) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2293320178321785) q[2];
h q[3];
ry(0.7853981303022892) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853981303022892) q[3];
cx q[4], q[3];
ry(0.6154797374613742) q[4];
cx q[3], 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-1.25,
-1.25,
1.25,
-0.75,
-1,
-0.25,
0,
0.25,
0.5,
0.5
] | 0.961538 | [
1.580548938989066e-7,
1.5707962936941358,
-1.5707964113743622,
1.5707962606045784,
1.2309594749227484,
2.458664035664357,
-6.36184063154341e-8,
-0.7758827152746062,
0.6829287142011918,
-0.7949136334328287,
-0.6410930540584571,
-0.852030693606311,
0.6410931018832451,
0.5966596957061975,
0... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 341 |
bdf4ac9aea3c01fe4a0763ed16a2cb41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 5}, {... | {"states": [179, 121], "expectation_value": -9.263029517599936, "params": [[0.0495], [-0.0653]], "bitstrings": ["01001100", "10000110"], "total_optimization_steps": 10, "probabilities": [0.007237145381496668, 0.007914526487729681], "optimization_time": 1.8874170780181885} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 10.5 * Z(0) + 13.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.005067002524934633) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.005067002524934633) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.005067002524934633) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.005067002524934633) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10.5,
13.5,
16,
14,
10.5,
12.5,
-5
] | 0.970251 | [
-0.005067002524934633,
-1.6850127511143769,
1.496672048440283,
-1.2063358954308774,
-1.6956027444208053,
-1.8100060217454483,
1.8395040859899134,
1.5618704167181376,
-0.3067283596242682,
0.39700273227905436,
-0.08214440551161827,
-0.6163421203175338,
-0.8315577773199614,
-1.301594664564469... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 32 |
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