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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
dac6cb03ea42611247637fffb99ef36a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -9.788427282854894, "params": [-0.0063, 0.0577, -0.0001, 0.10160000000000001, 0.0004, 0.1375, 0.0025, 0.1559, 0.1976, 0.00030000000000000003, 0.20140000000000002, 0.0025, 0.0016, 0.1652, 0.0033, 0.1555, 0.007, 0.0621, 0.0054, 0.0792, 0.0061, 0.1263, 0.0004, 0.1602, 0.0019, 0.15... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(10)) + -0.5 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(10)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(... | 7 | 11 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.16839419987992402) q[0];
rz(0.3434322336180067) q[0];
rx(0.17027057603880272) q[1];
rz(-0.00960936978132243) q[1];
cx q[1], q[0];
rz(-0.007077845322191703) q[0];
cx q[1], q[0];
rz(-1.070072280008287) q[0];
ry(0.041848114343561796) q[0];
rz(1.6350933492023696) 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] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"ZIIIIIZIIII",
"ZIIIIIIIIIZ",
"IIIIIIZIIZI",
"ZIIIIIIIIZI",
"ZIIZIIIIIII",
"IIIZIIIIIZI",
"ZIIIIIIZIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZIIIIZI",
"IIIZZIIIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IZIIIIZIIII",
"ZZIIIIIIIII",
"IZIIIIIZIII",
"IIZZIIIII... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
1.75,
-0.25,
0,
-1.25,
0.25,
0.75,
1,
-1,
-0.75,
-1,
0.5
] | 0.970537 | [
-0.16839419987992404,
0.33635438829581554,
0.17027057603880272,
-0.00960936978132243,
0.4799126970789768,
0.2105230602632544,
0.1844048513606651,
0.10579994196152889,
-0.035201154474632325,
-0.12246933598404657,
-0.1864079155330131,
0.05406511304002307,
-0.1907777496823802,
-0.031965088728... | {
"n_parameters": 173,
"n_qubits": 11,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 13 |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [111, 39], "expectation_value": -7.456903785028235, "params": null, "bitstrings": ["10010000", "11011000"], "total_optimization_steps": 52, "probabilities": [0.14337210102024978, 0.8124012117549206], "optimization_time": 48.521568775177} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [255, 125], "expectation_value": -6.011553168746372, "params": [[[0.0024000000000000002, -3.1474], [0.0021000000000000003, 0.0023], [0.0021000000000000003, 0.0021000000000000003], [0.0022, 0.0022], [0.0023, 0.0023], [0.0027, 0.0021000000000000003], [0.0022, -0.030000000000000002], [-1.594, 0.002]]], "bitstri... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 15 | 8 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "10000110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.034844011332879614) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.034844011332879614) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.021220240325448322) q[7];
cx q[3], q[7];
cx q[0], q[7];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x1) q[2];
ry(x2) q[3];
ry(x3) q[4];
ry(x4) q[5];
ry... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
1.25,
-0.25,
0,
-1,
1,
0.5,
-1.25,
-0.25
] | 0.970653 | [
-0.034844011332879614,
0.021220240325448322,
4.14081704613734,
-0.02836829097701573,
0.9928839988256033,
-0.7241766421867887,
-0.8495874140952102,
-0.37261573279980825,
-0.7361582307300965,
-0.4162496087713253,
1.820243699490485,
-0.0028210601597248794,
-0.22590816858116236,
0.543504316292... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 461 |
f222dfb2324275edf5e9240be57dcb14 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [112, 116], "expectation_value": -3.080993922328541, "params": [[[1.6117000000000001, 0.0097], [1.6128, 0.0078000000000000005], [1.6144, 0.007500000000000001], [0.001, 0.0027], [1.6064, 0.0043], [-0.0029000000000000002, 0.004], [-0.0032, 0.0098]]], "bitstrings": ["0001111", "0001011"], "total_optimization_st... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07648152232230113) q[0];
rz(0.9216052864556517) q[0];
rx(1.7238757987083333) q[1];
rz(0.5715058600387561) q[1];
rx(0.5367869467538573) q[2];
rz(0.022857746598916207) q[2];
rx(1.8244911597998281) q[3];
rz(-0.23271919603398716) q[3];
rx(-0.32748779038630377) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
0
] | 0.970993 | [
-0.07648152232230113,
0.6285015174134017,
1.7238757987083333,
0.5715058600387561,
0.5367869467538573,
0.022857746598916207,
1.8244911597998281,
-0.23271919603398716,
-0.32748779038630377,
0.01580364509740706,
2.1030469978115702,
0.30694892068083535,
1.2562968153353444,
0.25420176798302757,... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 28 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -4.718671019056616, "params": [[0.0461, 0.032, 0.039], [-0.044700000000000004, -0.0304, -0.0344]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013840014174859958, 0.014710208190413224], "optimization_time": 7.106851816177368} | 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)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 15 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
2265773524875199093 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 6], [0, 3, 5, 7], [3, 4, 6], [2, 3, 5], [0, 2, 4, 6, 7], [1, 2, 5, 6, 7], [0, 5, 6], [0, 1, 3, 4, 7], [1, 2, 4, 5, 6]]} | {"states": [187, 179], "expectation_value": -1.3852729571783529, "params": [[[2.6281000000000003, 0.002], [1.5313, 0.0008], [2.6427, 0.005200000000000001], [2.6362, 0.0047], [1.5464, 0.0], [1.5256, 0.008], [2.6364, 0.0076], [1.6464, 0.006]]], "bitstrings": ["01000100", "01001100"], "total_optimization_steps": 270, "pro... | 0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(0)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.05, "smallest_bitstrings": ["01001100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.0302211378823847) q[0];
rz(0.38986256431241634) q[0];
rx(0.9901294870633957) q[1];
rz(-0.4599325465721708) q[1];
rx(3.1205215740047776) q[2];
rz(-1.0797676046551625) q[2];
rx(3.0772457613832853) q[3];
rz(-0.1021472217222326) q[3];
rx(0.16005137649007184) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"IZIIZIII",
"IZIIIIZI",
"IIIIZIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZZIIIII",
"IIZIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIZZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZIIIZ",
"IIZZIIII",
"ZIIZIIII",
"IIIIZZII",
"IIIIIZZ... | [
0.21666666666666667,
0.3333333333333333,
0.26666666666666666,
0.13333333333333333,
0.05,
0.21666666666666667,
0.25,
0.1,
0.26666666666666666,
0.25,
0.13333333333333333,
0.1,
0.1,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.1,
0.26666666666666666,
0.1,
0.05,... | 0.972395 | [
3.0302211378823847,
0.38986256431241634,
0.9901294870633957,
-0.4599325465721708,
3.1205215740047776,
-1.0797676046551625,
3.0772457613832853,
-0.1021472217222326,
0.16005137649007184,
0.6695647049855737,
0.25424515063925823,
0.6989940805224222,
2.9787910205294734,
0.4860419487261332,
2.... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -2.1833333333333336,
"target_ratio": 0.97,
"target_value": -2.1178333333333335
} | 19 |
5638c5dfe00c820280d20163a3e58648 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"s... | {"states": [8191, 7679], "expectation_value": -25.97487372827628, "params": [[[-0.8703000000000001, 2.291], [-0.0032, 0.8287], [-0.0028, -0.0025], [1.6705, -0.002], [-0.0016, 0.0022], [-0.0027, -0.0028], [-0.0028, -0.0027], [-0.0026000000000000003, -0.0028], [0.0021000000000000003, 0.0026000000000000003], [-0.002100000... | -2.5 * (Z(0) @ Z(5)) + -2.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -2.0 * (Z(6) @ Z(1)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -2.0 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(10)) + 1.0 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(9) @ Z(10))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["0001000000000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.39156956079851807) q[0];
ry(0.18279274848948987) q[1];
ry(0.10095619929734864) q[2];
ry(2.632840563040617) q[3];
ry(-0.2494259104100222) q[4];
ry(0.0269654745982962) q[5];
ry(0.10095619929734864) q[6];
ry(-0.05321552842750012) q[7];
ry(-0.010993670830929992) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZ",
"IIIIIIIZIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIZZIIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZIIIIIZI",
"IIIIIZZIIIIII",
"IIZIZIIIIIIII",
"IZZIIIIIIIIII",
"IZIIZIIIIIIII",
"IIZZIIIIIIIII",
"IIIZZIIIIIIII",
"IZIZIIIIIIIII",
"ZIIIIIIIIIZ... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
-2,
-2,
1,
-2,
-2,
1,
-2,
-1.5,
-2,
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
] | 0.972203 | [
-0.39156956079851807,
0.18279274848948987,
0.10095619929734864,
2.632840563040617,
-0.2494259104100222,
0.0269654745982962,
-0.05321552842750012,
-0.010993670830929992,
-0.03910189576333686,
-0.01850508832775928,
0.060961790964229184,
-0.05106316138175023,
3.013660802632576,
0.102844981003... | {
"n_parameters": 17,
"n_qubits": 13,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 31 |
-7166113496899819848 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 5], [3, 5, 6], [0, 6], [2, 3, 6], [0, 2, 5], [2, 3, 4]]} | {"states": [120, 55], "expectation_value": -0.06590424415511796, "params": [[-0.0813], [0.07390000000000001]], "bitstrings": ["0000111", "1001000"], "total_optimization_steps": 10, "probabilities": [0.008414050430055973, 0.00847879953507347], "optimization_time": 0.6245253086090088} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.07638425187623839) q[1];
cx q[3], q[1];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.23138409030312215) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(-0.07638425187623839) q[5];
cx q[1], q[5];
rz(-0.0763842518762381) q[1];
rx(0.8890... | 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[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(x1) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZZIIIII",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZZII",
"IZIIZII",
"ZIIIZII",
"IIIIZIZ",
"IIZZIII",
"IIZIZII",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIZIIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.6666666666666666,
0.166666666666... | 0.599189 | [
-0.07638425187623839,
-0.23138409030312215,
-1.429478030254037,
-0.6479169391578152,
0.8890658924165334
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 150 |
9654c545357abbe9e95dba48af827af6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 19, ... | {"states": [214, 118], "expectation_value": -25.93974308033021, "params": [[0.0275, 0.006200000000000001, -0.0045000000000000005], [-0.0757, -0.0784, -0.0727]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.015557808984097038, 0.01718774563151075], "optimization_time": 8.57... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 1... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0011522340551590252) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0011522340551590252) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0011522340551590252) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.0011522340551590252) 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZIIZ",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IIIZZIII",
"IZIIIIZI",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
8,
10.5,
13.5,
14,
11,
10.5,
-0.5
] | 0.9701 | [
-0.0011522340551590252,
1.4198778051373766,
-1.6914893495550405,
1.497053830930895,
1.7292200745702024,
1.183563834745271,
-0.8896798042232335,
-1.5810176557276576,
-1.2564221794225994,
0.11584926322863424,
0.9377064387781754,
-0.8309733378014517,
0.20908203985992,
0.1567296409660722,
0.... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 48 |
8ebf44311adc4280f0f060c04fb1ed3c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [599, 535], "expectation_value": -60.613685500432965, "params": [-0.0035, 0.44270000000000004, 0.7003, 0.0028, -0.0048000000000000004, 0.43920000000000003, 0.0892, -0.2929, 0.4787, 0.0477, 0.0026000000000000003, 0.3927, 0.7006, 0.1426, 0.4606, 0.33130000000000004, 0.7021000000000001, 0.0362, 0.69980000000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(3) @ Z(8)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + -7.0 * Z(2) + 17.5 * Z(1) + 2.0 * Z(4) + 7.0 * Z(6) + -5.0 * Z(5) + 1.5 * Z(7) + 7.5 * Z(9) + 9.5 * Z(8) + -3.0 * Z(3) +... | 16 | 11 | 3 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["10111101000"], "largest_eigenvalue": 115.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.01907590290887394) q[0];
rz(0.5646974103559774) q[0];
rx(1.21090664328329) q[1];
rz(-0.29494173133722373) q[1];
cx q[1], q[0];
rz(-0.05438754119380025) q[0];
cx q[1], q[0];
rx(-0.11324952558810715) q[0];
rz(-0.056774808458188275) q[0];
rz(-0.018398528435521505) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZIIZI",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIZIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIZIIIIIIII",
"IIIIIIIZIII",
"ZIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-7,
17.5,
2,
7,
-5,
1.5,
7.5,
9.5,
-3,
6.5,
-11
] | 0.978131 | [
-0.01907590290887394,
0.5103098691621771,
1.21090664328329,
-0.29494173133722373,
0.10936372567896688,
0.14522597106018234,
0.08285441186230558,
-0.39668406455726873,
-0.013002703141444846,
0.27424365528442957,
0.09483846462012813,
0.2744506251810993,
1.0001879226138402,
0.201811516356247,... | {
"n_parameters": 91,
"n_qubits": 11,
"optimal_eigenvalue": -108,
"target_ratio": 0.97,
"target_value": -104.75999999999999
} | 17 |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [32190, 31710], "expectation_value": -9.42137450279461, "params": [[0.1723], [-0.1733]], "bitstrings": ["1000001001000001", "1000010000100001"], "total_optimization_steps": 20, "probabilities": [0.00015377453921808985, 0.0001537748172261564], "optimization_time": 16.37086057662964} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 1 | 16 | 1 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["1000010000100001"], "largest_eigenvalue": 68.00000000000011} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
... | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
3c9c101d3ca31818a58dc6d661f912ad | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -14.764828504356974, "params": [0.0002, -0.20950000000000002, 0.0051, -0.198, -0.0023, -0.22890000000000002, -0.0061, -0.22260000000000002, -0.0048000000000000004, -0.21300000000000002, -0.00030000000000000003, -0.21100000000000002, -0.0002, -0.1908, -0.0034000000000000002, -0.21... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31081255288526993) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.44775948561421924) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.31081255288526993) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[7];
rz(0.22063... | 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IIZIIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-1,
-0.75,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.25,
-1,
-0.25,
-0.75,
-1.5,
-0.25,
-1,
1,
1.25,
1.5,
1
] | 0.503137 | [
0.31081255288526993,
0.44775948561421924,
0.22063233377674676,
0.8391716738578886,
-0.370649658042186,
1.1956849244237249,
-0.2635388681014347,
0.12082703265010854,
-1.408452584750217,
1.1289956896569686
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 277 |
ff12bd2c4927dd09879cd9143bdb8472 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4... | {"states": [119, 118], "expectation_value": -21.124787350232697, "params": [[0.0167, 0.0152, 0.00030000000000000003], [-0.0419, -0.068, -0.06770000000000001]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011123487272944772, 0.014142605765321422], "optimization_time": 7.13... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05402196679930514) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.05402196679930514) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.05402196679930514) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.05402196679930514) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
15.5,
5,
15.5,
8.5,
9,
16.5,
13.5,
8
] | 0.973272 | [
-0.05402196679930514,
1.9309508006179656,
-1.1087691465097824,
1.1365272156861124,
-0.9576550446646068,
1.3475536784622788,
1.6787387413020332,
-0.8076971171792336,
-1.040413476265019,
0.17535856771882383,
-0.3398795500131562,
-0.12376385071992982,
0.5838218808104491,
-0.18493009400659796,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 74 |
264fb18a8257049cb1d4e81c11f3c8ea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1619, 1107], "expectation_value": -122.92373133202233, "params": [0.25720000000000004, 0.0004, 0.9005000000000001, -0.060500000000000005, 0.47540000000000004, -0.1383, 0.0006000000000000001, 0.5442, 0.2121, 0.0008, 0.9042, -0.0028, 0.5163, -0.2707, 0.8987, 0.0162, -0.0049, 0.21880000000000002, 0.2735, 0.330... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 6.0 * Z(1) + -6.0 * Z(0) + 10.0 * Z(2) + 16.0 * Z(5) + -7.0 * Z(4) + 6.0... | 4 | 12 | 3 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.5, "smallest_bitstrings": ["101110101100"], "largest_eigenvalue": 160.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.2572867346638411) q[0];
rz(1.6558921919423426) q[0];
rx(1.0964496389894118) q[1];
rz(1.4394243932116106) q[1];
rx(0.220250192233188) q[2];
rz(1.5152936362218998) q[2];
rx(0.0470739139592752) q[3];
rz(2.057359438232087) q[3];
rx(0.38066621088908836) q[4];
rz(1.6859... | 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] 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 floa... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
6,
-6,
10,
16,
-7,
6,
-6,
-4,
9,
2.5,
23,
-15
] | 0.972466 | [
0.2572867346638411,
0.0850958651474457,
1.096449638989412,
-0.13137193358328575,
0.22025019223318804,
-0.05550269057299718,
0.04707391395927519,
0.4865631114371908,
0.38066621088908836,
0.11512502777741285,
0.8892134512374903,
-0.07429341451026446,
0.3884358306082911,
-0.303917142710548,
... | {
"n_parameters": 101,
"n_qubits": 12,
"optimal_eigenvalue": -141.5,
"target_ratio": 0.97,
"target_value": -137.255
} | 14 |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 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": -5.675579468999118, "params": null, "bitstrings": ["111110", "110000"], "total_optimization_steps": 37, "probabilities": [0.17610784862410456, 0.6204813298798018], "optimization_time": 22.414439916610718} | -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 | 3 | {"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... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"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 |
3655742359507773310 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [3, 6], [0, 1], [2, 4, 6], [1, 4], [0, 5], [0, 2], [4, 7], [1, 6], [4, 5, 6], [0, 6], [1, 3], [0, 7], [2, 5]]} | {"states": [184, 103], "expectation_value": -0.1594768942309617, "params": [[-0.0819], [0.0748]], "bitstrings": ["01000111", "10011000"], "total_optimization_steps": 10, "probabilities": [0.004771483945038729, 0.004798510309672224], "optimization_time": 2.185417890548706} | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333336, "smallest_bitstrings": ["10011000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(-0.5272335796466493) q[3];
cx q[5], q[3];
h q[6];
cx q[5], q[6];
rz(-0.04910436783106559) q[6];
cx q[5], q[6];
cx q[3], q[6];
cx q[5], q[0];
rz(-0.5272335796466493) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q[6];
cx q[3], q... | null | {"circuits": [], "gradients": []} | [
"IIZIZIII",
"IZZIIIII",
"IZIIZIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IZIIIZII",
"IIIIIZIZ",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZI... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666652,
0,
0.33333333333333326,
0,
0,
0.16666666666666674,
0.3333333333333335,
0
] | 0.405682 | [
-0.5272335796466493,
-0.04910436783106559,
-0.47048989032767957,
0.192111770091407,
0.7025762164295766
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -4.666666666666666,
"target_ratio": 0.97,
"target_value": -4.526666666666666
} | 144 |
-2366032373491310907 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6, 7], [1, 2, 3, 4], [3, 4, 6], [4, 7], [3, 4, 5], [0, 3], [1, 4, 5], [1, 3, 5]]} | {"states": [110, 238], "expectation_value": -1.9064159834684373, "params": [[[1.598, -0.7695000000000001, 0.0095, 0.006900000000000001], [0.16790000000000002, -0.7696000000000001, 0.0322, 0.0041], [1.5799, -0.0036000000000000003, 1.578, 0.0036000000000000003], [1.5964, 0.0027, 1.4698, 0.0008], [1.5789, 0.0038, 1.5823, ... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333... | 11 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666666, "smallest_bitstrings": ["00010001"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(3.039770235239098) q[0];
rz(-1.1795347369006062) q[0];
ry(0.14612448175497006) q[1];
rz(-0.7468691296113548) q[1];
cx q[1], q[0];
ry(0.2913196916116889) q[1];
rz(0.2391692310306112) q[1];
ry(1.7270719034422086) q[2];
rz(-0.009657124306720423) q[2];
ry(1.8115423108919... | OPENQASM 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIII... | [
0.03333333333333333,
0.11666666666666667,
0.03333333333333333,
0.36666666666666664,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.979446 | [
3.039770235239098,
-1.1795347369006062,
0.14612448175497006,
-0.7468691296113548,
1.7270719034422086,
-0.009657124306720423,
1.811542310891937,
0.11462225810309648,
1.8552064631287148,
0.07541128798723173,
0.16010461109383864,
0.3112556961428443,
1.646904274695981,
0.1312943281486993,
0.... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -2.416666666666667,
"target_ratio": 0.97,
"target_value": -2.3441666666666667
} | 13 |
4abb98976c4c92afe6a55c768cbc5f3f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [0, 995], "expectation_value": -9.170270520846024, "params": [-0.09580000000000001, 0.43910000000000005, 0.6841, 0.0004, 0.6345000000000001, 1.6916, 0.8141, 0.0007, -0.9425, 1.681, 0.166, 0.0059, -0.9321, 1.2769000000000001, 0.19410000000000002, 0.0002, 0.8764000000000001, -1.8028000000000002, 0.0587, 0.0063... | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(5) + -1.0 * Z(6) + ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000011100", "0000001000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.7133345977592517) q[0];
rz(2.4866929748738684) q[0];
rx(2.3349867415549963) q[1];
rz(2.224870407069263) q[1];
rx(-2.866455492363015) q[2];
rz(2.685980046298308) q[2];
rx(-1.2658296346975773) q[3];
rz(-2.6997197482573014) q[3];
rx(0.7260537655303827) q[4];
rz(-2.5... | 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[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIZIZIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5
] | 0.933037 | [
-0.7133345977592517,
0.9158966480789713,
2.3349867415549963,
0.6540740802743668,
-2.866455492363015,
1.1151837195034107,
-1.265829634697577,
2.0126692321273887,
0.7260537655303827,
2.1169251406402503,
0.14170288023445293,
0.9891965203733961,
-0.12713335529982597,
1.3120205030996375,
1.07... | {
"n_parameters": 100,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
5f59fc9d0aa0f9e4890b3d6228f2f57a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [255, 1], "expectation_value": -0.5927899330009975, "params": [[-0.066], [0.0723]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002810787245789663, 0.002836076911248869], "optimization_time": 2.7677724361419678} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000000", "111111110", "100100000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2462752697496531) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2462752697496531) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.35388535482375255) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.41276690756430007) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIZZII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"... | [
-0.25,
-0.25,
-1,
-0.5,
-1,
-1.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
1.25,
-0.5,
-1,
-1.5,
-0.5,
-0.75,
-0.25,
1.5,
0.25,
1.5,
-1,
-1.5,
0.25,
0
] | 0.776167 | [
-0.2462752697496531,
-0.35388535482375255,
-0.41276690756430007,
-0.6183566573464874,
-0.07214066222350154,
0.47519789926439976,
0.13175713518536475,
0.22217454919528176,
-0.1557189413081829,
-1.218648318362565,
-0.2330726446145422,
-0.7055132065487658,
-0.5163901090060677,
-1.215075278938... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 409 |
c27e04a1b516da945dec2e0c25bb156f | 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": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 129], "expectation_value": -18.330253475223586, "params": null, "bitstrings": ["011111111", "101111110"], "total_optimization_steps": 56, "probabilities": [0.12370274241009936, 0.6775043444876436], "optimization_time": 99.48320245742798} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06967276814104263) q[0];
rz(-0.5208853132243405) q[0];
rx(0.37891887116917855) q[1];
rz(-0.049982881516559274) q[1];
rx(-0.13726470414877495) q[2];
rz(-0.4430494836647938) q[2];
rx(0.003126559692845046) q[3];
rz(-0.3648118766750441) q[3];
rx(0.09891199110043837) q... | 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(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
-0.5,
-1.75,
-1.25,
-1,
-0.5,
-0.25,
2,
-1,
-2.5,
-0.5,
-1,
-1.25,
-0.25,
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.75,
-0.75,
-0.5,
0.75,
-0.25,
-2,
1.5,
-1.25,
0.75,
-0.5,
1.5,
-0.5
] | 0.980767 | [
-0.06967276814104263,
-0.5077052066360224,
0.37891887116917855,
0.11250276711834724,
-0.137264704148775,
-0.45793354836872574,
0.003126559692845046,
-0.42011945932490585,
0.09891199110043836,
-0.5070494861943647,
0.07526411138815307,
-0.5086162215845557,
-0.0346396890206757,
-0.66674823848... | {
"n_parameters": 124,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
6055612259411765433 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 5], [0, 2, 3, 6], [0, 1, 3, 5], [1, 2], [5, 6], [0, 2, 4], [0, 1, 3, 6]]} | {"states": [98, 29], "expectation_value": -0.018100875562059925, "params": [[-0.0374], [0.0362]], "bitstrings": ["0011101", "1100010"], "total_optimization_steps": 10, "probabilities": [0.008003657419966267, 0.008018286274879782], "optimization_time": 2.491976022720337} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666674, "smallest_bitstrings": ["1100010"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.901324838744305) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.008641707878419454) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(-0.901324838744305) q[2];
cx q[1], q[2];
cx q[4], q[0];
rz(-0.008641707878419454) q[0];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIIZI",
"IZIIZII",
"IIZIIIZ",
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIIZIIZ",
"ZIIIIZI",
"ZIIIZII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIZIII",
"ZII... | [
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666... | 0.655476 | [
-0.901324838744305,
-0.008641707878419454,
0.15475413257004536,
-0.06411341685931657,
-0.04379973532300973,
0.058736647878465234,
-1.4654211799380248,
-1.4251072535585831,
0.8751107209147794
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -2.4999999999999996,
"target_ratio": 0.97,
"target_value": -2.4249999999999994
} | 228 |
1969146899557880099 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 3], [5, 6], [3, 5], [2, 3], [2, 4], [4, 6], [0, 1], [0, 2], [3, 6], [0, 5], [5, 7]]} | {"states": [102, 153], "expectation_value": -0.10613353930163111, "params": [[-0.0635], [0.0713]], "bitstrings": ["10011001", "01100110"], "total_optimization_steps": 10, "probabilities": [0.004489803067563011, 0.004489803067563011], "optimization_time": 1.9499056339263916} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100110", "10011001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.055689574750010185) q[0];
h q[1];
ry(1.651520169423957) q[1];
h q[2];
ry(0.298845957163849) q[2];
h q[3];
ry(-0.07831345299877521) q[3];
h q[4];
ry(-0.07831345299877521) q[4];
h q[5];
cx q[5], q[0];
ry(-0.055689574750010185) q[0];
cx q[5], q[0];
ry(-0.40861... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"IIIIZZII",
"IIIIIZIZ",
"IZIZIIII",
"IIIZIZII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
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
] | 0.975101 | [
-0.15662690599755041,
0.597691914327698,
0.5386595089782579,
-0.19815732285154197,
1.651520169423957,
0.11137914950002037,
1.2575093489332931,
-0.8172303981382529,
1.7276599744487948,
-0.5819468095247553,
-0.11967719898941134,
-0.03801200635179951,
0.8813346622568092,
-1.1447490569378818,
... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 78 |
2df93713dba52fbc8f2926f6b2fd57be | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [63, 25], "expectation_value": -0.07631555337231803, "params": [[0.006500000000000001, 0.0545], [0.0111, -0.0373]], "bitstrings": ["11000000", "11100110"], "total_optimization_steps": 10, "probabilities": [0.004238511594864054, 0.004239562824510044], "optimization_time": 2.8482909202575684} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100010", "11100000", "11100110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIIZIII",
"ZIIZIIII",
"IIZZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
0,
1,
0.75,
0.25,
0
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
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": -4.403033580298919, "params": [[0.07100000000000001, 0.0533, 0.07050000000000001, 0.0609], [-0.07970000000000001, -0.0371, -0.059500000000000004, -0.057800000000000004]], "bitstrings": ["11111110", "11011010"], "total_optimization_steps": 10, "probabilities": [0.0185042892578026... | -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 | 4 | {"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] 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",
"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 |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [191, 190], "expectation_value": -1.283622158061904, "params": [0.4959, 0.0057, 2.0995, 0.0014, 0.4923, 0.0036000000000000003, 2.1074, 0.0077, 2.1087000000000002, 0.009000000000000001, 2.0936, 0.0055000000000000005, 2.1064000000000003, 0.009600000000000001, 2.1015, 0.0024000000000000002, 1.4793, 0.0002, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIZII",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIZIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
0.5,
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,
0.0625,
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... | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
4f38ff28344ad48850dffdcb4e9b2399 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 8}, {"weight"... | {"states": [994, 482], "expectation_value": -78.65212246022065, "params": [0.3118, -0.2044, 0.6925, 0.026500000000000003, 0.5680000000000001, 0.0187, 0.6587000000000001, 0.0094, 0.6946, -0.0037, 0.23220000000000002, -0.2732, -0.0024000000000000002, 0.5015000000000001, 0.2672, -0.24600000000000002, 0.6918000000000001, -... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(8)) + 18.5 * Z(2) ... | 4 | 10 | 4 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["1000011101"], "largest_eigenvalue": 196.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.18436698612575939) q[0];
rz(1.4761758087629069) q[0];
rx(0.8822973704300836) q[1];
rz(1.6140742448542476) q[1];
rx(0.43533846790327607) q[2];
rz(1.4640093328373904) q[2];
rx(0.6148453357457326) q[3];
rz(1.380187363998136) q[3];
rx(0.6970628890322107) q[4];
rz(1.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
18.5,
16,
20.5,
17.5,
11,
-0.5,
9.5,
12.5,
4.5,
-9.5
] | 0.973306 | [
-0.1843669861257594,
-0.09462051803199102,
0.8822973704300835,
0.04327791805935116,
0.4353384679032761,
-0.10678699395750631,
0.6148453357457327,
-0.1906089627967608,
0.6970628890322106,
0.23024500021479682,
0.00401859274277732,
0.22244901860944188,
0.08304061358870285,
0.3501435518688596,... | {
"n_parameters": 112,
"n_qubits": 10,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 16 |
602e7e43551da616abe4c4df4831fe40 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [111, 109], "expectation_value": -66.58882074916777, "params": [0.5799000000000001, 0.5149, 1.582, 0.007500000000000001, 1.5814000000000001, 0.34940000000000004, 0.19190000000000002, 0.7375, 1.5841, 0.006, 1.5859, -0.1558, 0.7834, -0.37670000000000003, 1.5847, 0.1222, 0.5792, 0.0073, 1.5735000000000001, 0.00... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z... | 18 | 8 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.00021696480811712882) q[0];
rz(0.11299576799707767) q[0];
rx(0.8176166171604654) q[1];
rz(0.07405583765192796) q[1];
rx(0.7313260385322925) q[2];
rz(0.2526125778278959) q[2];
rx(-0.021752633386906497) q[3];
rz(0.4588767341463954) q[3];
rx(0.9405122284984047) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8.5,
8.5,
12,
2,
21,
20,
14.5,
14
] | 0.974603 | [
0.00021696480811712882,
0.1347606152743974,
0.8176166171604654,
0.07405583765192796,
0.7313260385322925,
0.2526125778278959,
-0.021752633386906497,
0.4588767341463954,
0.9405122284984047,
0.05513705964613934,
0.6732959719381568,
0.14996121652947428,
0.3260676100029805,
0.2377761262008859,
... | {
"n_parameters": 94,
"n_qubits": 8,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 10 |
6188528287626050567 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3, 4], [2, 3, 4], [1, 3], [1, 2]]} | {"states": [23, 22], "expectation_value": -1.1511392724903842, "params": [[[2.3443, 0.0032], [0.47040000000000004, 0.0022], [2.7005000000000003, 0.009000000000000001], [2.7006, 0.0061], [1.494, 0.001]]], "bitstrings": ["01000", "01001"], "total_optimization_steps": 270, "probabilities": [0.33616922525796533, 0.39201287... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.33333333333333326 * Z(3) + 0.16666666666666666 * Z(0) + 0.3333333333333333 * Z(4) + 0... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333335, "smallest_bitstrings": ["01001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.14851070229293437) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.6022332847073939) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[2];
rz(0.14851070229293437) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(0.8163653266562577... | 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": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZZII",
"ZIZII",
"IZIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIZII",
"IIIZI"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.33333333333333326,
0.16666666666666666,
0.3333333333333333,
0.16666666666666663,
0
] | 0.500327 | [
0.14851070229293437,
0.6022332847073939,
0.8163653266562577,
-0.47345367719212617,
-0.7936561455014234
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -1.6666666666666665,
"target_ratio": 0.97,
"target_value": -1.6166666666666665
} | 146 |
4700601e722e5f0a0c40acc2968ffc97 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [9, 3], "expectation_value": -6.98539458460684, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12796174980966527, 0.6649528209913563], "optimization_time": 19.896748542785645} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 10 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
9e72aed817e662969111170f29d9c9a1 | 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": 4, "target": 5}, {"source": 4, "target": 7}, {"source": ... | {"states": [967, 1023], "expectation_value": -0.7797266712843512, "params": [[0.0743], [-0.0627]], "bitstrings": ["0000111000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001528453294547895, 0.0015552055196192977], "optimization_time": 0.6086509227752686} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.0 * Z(5) + 1.0 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01650399604425194) q[0];
cx q[1], q[0];
rz(1.5334888226379757) q[0];
rx(-1.3478479890324493) q[0];
rz(1.5334888226379757) q[1];
rx(-1.3478479890324493) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.01650399604425194) q[2];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"
] | [
-1,
-1,
-1.5,
-2,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
-1.5,
0.5,
0.5,
0.5
] | 0.785067 | [
-0.01650399604425194,
-0.28296532373961525,
-1.3207579721554537,
1.5334888226379755,
0.0486325120114352,
-1.3478479890324493
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 170 |
-1282066142231041521 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 4, 8, 9, 11], [3, 6], [0, 1, 3, 4, 11], [0, 1, 6, 8, 9, 11], [0, 2], [0, 6, 9, 11, 12], [1, 2, 3, 4, 8], [4, 12, 6], [2, 3, 4, 5, 7, 12], [0, 3, 7, 10, 12], [0, 3, 5, 8, 12], [10, 9, 2, 3], [1, 10, 3, 5], [0, 4, 6], [1, 10, 4, 5], [1, 11, 12, 9... | {"states": [7097, 6973], "expectation_value": -3.023730651984395, "params": [[0.22690000000000002], [-0.2331]], "bitstrings": ["0010001000110", "0010011000010"], "total_optimization_steps": 30, "probabilities": [0.0005060948119224804, 0.0005205783543892481], "optimization_time": 52.54063367843628} | 0.25 * (Z(1) @ Z(2)) + 0.16666666666666669 * (Z(4) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(1)) + 0.13333333333333336 * (Z(8) @ Z(2)) + 0.11666666666666667 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(8) @ Z(4)) + 0.16666666666666669 * (Z(9) @ Z(2)) + 0.18333333333333332 * (Z(9) @ Z(1)) + 0.2 * (Z(9) @ Z(4)) + 0.2833333... | 1 | 13 | 1 | {"smallest_eigenvalues": [-6.283333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.233333333333334, "smallest_bitstrings": ["0010011000010"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.0024961850317320976) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(1.0066966116200476e-05) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.00635586893529374) q[4];
cx q[1], q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], 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": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIZIZII",
"IIIIIIIIZIIZI",
"IIIIZIIIIIZII",
"IIIIZIIIIIIZI",
"IIIIZIIIZIIII",
"IIIZIIIIIIZII",
"IIIZIIIIIIIZI",
"IIIZIIIIZIIII",
"IIIZZIIIIIIII",
"IZIIIIIIIIZII",
"IZIIIIIIIIIZI",
"IZIIIIIIZIIII",
"IZIIZIIIIIIII",
"IZIZIIIIIIIII",
"IIIIIIIIIZZII",
"IIIIIIIIIZI... | [
0.25,
0.16666666666666669,
0.41666666666666663,
0.13333333333333336,
0.11666666666666667,
0.21666666666666667,
0.16666666666666669,
0.18333333333333332,
0.2,
0.2833333333333333,
0.03333333333333333,
0.26666666666666666,
0.11666666666666667,
0.15,
0.23333333333333334,
0.1666666666666666... | 0.910281 | [
0.0024961850317320976,
0.000010066966116200476,
0.00635586893529374,
-0.0023108379745630137,
-0.001038879934938882,
0.0030530603388709858,
-0.002259188669974292,
-0.0010562378755481685,
0.0007851361086101121,
0.003612895964232558,
0.00036567090885977803,
0.0014827285144950017,
0.003517828543... | {
"n_parameters": 39,
"n_qubits": 13,
"optimal_eigenvalue": -6.283333333333333,
"target_ratio": 0.97,
"target_value": -6.094833333333333
} | 500 |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [10, 5], "expectation_value": -1.0025399624911608, "params": [[-0.049300000000000004, -0.0499, -0.0494, 0.028300000000000002], [0.054400000000000004, 0.0651, 0.0688, 0.0286]], "bitstrings": ["10101", "11010"], "total_optimization_steps": 10, "probabilities": [0.04062507109754141, 0.048313649539512886], "opti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1.5,
-1
] | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
7310288490871792600 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 3, 5, 7], [5, 6, 7], [8, 5], [1, 3, 4, 8, 9], [0, 9, 1], [0, 1, 5, 6], [9, 3, 1, 7], [1, 2, 4, 6, 8], [0, 1, 7], [9, 6, 7], [1, 4, 6, 7, 8], [8, 2, 3], [0, 2, 6], [1, 2, 9, 7], [0, 9, 5, 7], [1, 2, 4, 5, 6], [0, 4, 5]]} | {"states": [501, 505], "expectation_value": -3.8953129751571876, "params": [0.0026000000000000003, 0.0026000000000000003, 2.2952, 0.8505, 2.4624, 0.6854, 2.1057, 2.4114, 2.527, 0.5997, 1.6615, 1.4682000000000002, 0.9506, 0.6085, 2.1494, 0.8721, 1.5396, 1.6003, 1.5937000000000001, 1.5442, 0.0025, 2.9653, 0.9923000000000... | 0.23333333333333334 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(1)) + 0.1 * (Z(5) @ Z(2)) + 0.18333333333333335 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.4333333333333333 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.3 * (Z(7... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.216666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.133333333333335, "smallest_bitstrings": ["1000000110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.013384087240104094) q[0];
rz(pi/2) q[0];
ry(2.398047236688448) q[1];
ry(2.4448044879892046) q[2];
ry(1.858551982249604) q[3];
ry(2.289320964503983) q[4];
ry(1.610150162171029) q[5];
ry(0.19719142582414248) q[6];
ry(2.1463778847208292) q[7];
ry(1.472838776910978) ... | OPENQASM 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",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZIZIIIII",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIIZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIZIIIIII"... | [
0.23333333333333334,
0.21666666666666667,
0.18333333333333335,
0.1,
0.18333333333333335,
0.05,
0.13333333333333333,
0.4333333333333333,
0.13333333333333333,
0.3,
0.26666666666666666,
0.23333333333333334,
0.3,
0.3833333333333333,
0.21666666666666667,
0.15000000000000002,
0.21666666666... | 0.974492 | [
-0.013384087240104094,
2.398047236688448,
2.4448044879892046,
1.858551982249604,
2.289320964503983,
1.610150162171029,
0.19719142582414248,
2.1463778847208292,
1.472838776910978,
1.6270782160413642,
0.003355339329802233,
0.04047045798436194,
-1.2270516329754235,
-1.452167086799476,
0.084... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.216666666666666,
"target_ratio": 0.97,
"target_value": -4.090166666666666
} | 13 |
473775bc8d8b4cca680d00f7b64c1aa1 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [637, 501], "expectation_value": -0.10087161569331124, "params": [[-0.0505, -0.0455], [0.0704, 0.0548]], "bitstrings": ["0110000010", "1000001010"], "total_optimization_steps": 10, "probabilities": [0.0012513677177851115, 0.001251367717785112], "optimization_time": 23.06316041946411} | 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(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["1000001010", "0110000010"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIZIIZIZ",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIIZZZII",
"IIIIZIZZII",
"IIIIZZIZII"... | [
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
... | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
12625ff7963f220cedd44f15c6035b49 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1764, 1765], "expectation_value": -18.322267179561972, "params": [-0.003, 0.6492, 0.0026000000000000003, 0.7489, 0.8339000000000001, 0.6645, 0.9817, 0.29600000000000004, 0.0061, 0.5815, 0.9924000000000001, -0.0002, 0.9976, -0.0031000000000000003, 0.9963000000000001, 0.006900000000000001, 0.00290000000000000... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 18 | 13 | 3 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
-7739192368442748783 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 6, 7, 8], [2, 5, 7], [2, 3, 4, 6, 7], [8, 0, 3, 6], [2, 3, 5, 6, 8], [1, 2, 4, 7, 8], [8, 4, 5], [0, 1], [2, 3, 6, 7, 8], [1, 2, 3, 4, 6, 8], [2, 3, 4, 5, 6], [0, 5, 7]]} | {"states": [303, 175], "expectation_value": -3.041340251238334, "params": null, "bitstrings": ["011010000", "101010000"], "total_optimization_steps": 49, "probabilities": [0.043513254580781174, 0.8766203568743314], "optimization_time": 122.11522030830383} | 0.13333333333333333 * (Z(1) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(4)) + 0.08333333333333334 * (Z(6) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(6)) + 0.3 * (Z(8) @ Z(4)) + 0.13333333333333333 * (Z(8) @ Z(1)) + 0.26666666666666666 * (Z(8) @ Z(6)) + 0.15000000... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.1500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1499999999999995, "smallest_bitstrings": ["101010000"], "largest_eigenvalue": 11.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.42125591740012747) q[0];
h q[1];
cx q[1], q[0];
ry(0.42125591740012747) q[0];
cx q[1], q[0];
ry(-0.3333363080703295) q[0];
ry(1.3017458533438548) q[1];
h q[2];
ry(-0.5043581508536249) q[2];
ry(-2.945317322553181) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.190279339... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5524) 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] = m... | [
"IIIIZIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIZZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIIZII",
"IIIIZZIII",
"... | [
0.13333333333333333,
0.18333333333333335,
0.08333333333333334,
0.15000000000000002,
0.1,
0.15000000000000002,
0.3,
0.13333333333333333,
0.26666666666666666,
0.15000000000000002,
0.18333333333333335,
0.08333333333333334,
0.23333333333333334,
0.31666666666666665,
0.18333333333333335,
0.2... | 0.970519 | [
1.4789260363070662,
1.4755029697882722,
1.147545344206144,
-0.8425118348002549,
1.043449621308441,
-0.666672616140659,
0.5165924640708279,
-0.13369277886082942,
0.8269479919448698,
-1.0087163017072498,
0.5021687860447787,
0.45395130310428,
-0.5918299512337962,
-0.3805586784658163,
0.6145... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -3.1500000000000004,
"target_ratio": 0.97,
"target_value": -3.0555000000000003
} | 5 |
1c94d11683f581a2317745c654c36244 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 9}, {"weight": 11, "source": 0, "target": 7}, {"weight":... | {"states": [1000, 488], "expectation_value": -102.29269315401976, "params": [0.2753, 0.2215, 0.682, -0.030100000000000002, 0.6287, -0.0028, 0.6323000000000001, -0.0027, 0.6954, -0.0038, 0.37160000000000004, 0.194, 0.6967, 0.0046, 0.048, 0.2801, 0.0645, -0.3456, 0.0848, 0.29860000000000003, 0.2753, 0.22560000000000002, ... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) ... | 4 | 10 | 4 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["1000010111"], "largest_eigenvalue": 198.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2503213986776472) q[0];
rz(1.422292822686245) q[0];
rx(1.2067987758438221) q[1];
rz(0.28076391959681546) q[1];
rx(1.6986556949338574) q[2];
rz(0.06986744541160705) q[2];
rx(1.7942835204766643) q[3];
rz(-0.11248415609349083) q[3];
rx(1.6986556949338567) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIZII",
"IZIZIIIIII",
"ZIIIIZIIII",
"ZIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
22,
14,
22,
23.5,
24.5,
7.5,
-2,
-3.5,
0.5,
2
] | 0.971737 | [
0.2503213986776472,
1.0739687069646977,
1.2067987758438221,
0.26915493354725545,
1.6986556949338572,
0.06856476337316814,
1.7942835204766643,
-0.1126725998778677,
0.0034933761106245576,
0.02380655519574762,
1.0766064415961485,
1.3353045796396616,
0.16468884163383338,
-0.04338615973982432,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 34 |
dce06398b25f2ffe64febd8898180a55 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [63, 3903], "expectation_value": -0.8362793921114894, "params": [[-0.043500000000000004], [0.052700000000000004]], "bitstrings": ["111111000000", "000011000000"], "total_optimization_steps": 10, "probabilities": [0.0003399801401523761, 0.000351391217501875], "optimization_time": 1.0411288738250732} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(6)) + 0.5 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(6)) + -2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(7) @ Z(6))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000011000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.11628409992222181) q[0];
rz(0.3091735112346919) q[0];
rx(0.11628409992222181) q[1];
rz(-0.09775518231167915) q[1];
rx(-0.05058302488682606) q[2];
rz(0.3779794746032144) q[2];
rx(-2.4521434363919408) q[3];
rz(0.005376906028644102) q[3];
rx(0.11628409992222181) 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;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIZIZIIIIII",
"IZIZIIIIIIII",
"IZIIIZIIIIII",
"ZIIZIIIIIIII",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIIIZZIIIIII",
"IZIIZIIIIIII",
"ZIIIZIIIIIII",
"IZZIIIIIIIII",
"IIZIZIIII... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
0.5,
-2.5,
0.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974073 | [
0.11628409992222181,
0.3091735112346919,
-0.09775518231167915,
-0.05058302488682606,
0.3779794746032144,
-2.4521434363919408,
0.005376906028644102,
-0.33006332975828134,
3.143067201511203,
-0.32758225767563315,
0.0362417990644831,
-0.030862695987814576,
0.044945496056478525,
-0.32948641219... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 8 |
645c877d51dbe410a2500a8efdc21844 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 7}, {"weight":... | {"states": [504, 472], "expectation_value": -72.68715239394277, "params": [0.3981, -0.11230000000000001, 0.3922, -0.12430000000000001, 0.38870000000000005, -0.07050000000000001, 0.38580000000000003, -0.0606, 0.3766, 0.017, 0.37720000000000004, 0.0609, 0.38780000000000003, -0.0181, 0.32530000000000003, 0.0296, 0.3887000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(3)) + 12.5 * Z(1) + 8.5 * Z(0) + 11.5 * Z(2) + 12.0 * Z(3) + 1... | 6 | 10 | 3 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["1000100111"], "largest_eigenvalue": 141.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.20900895344121662) q[0];
rz(1.6591433503012762) q[0];
rx(0.7538779247326431) q[1];
rz(1.5396203505667074) q[1];
rx(0.413919355239131) q[2];
rz(1.9987591927860757) q[2];
rx(0.6126571953192625) q[3];
rz(1.5253248086506286) q[3];
rx(0.17161341309099423) q[4];
rz(1.89... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIIIIIZII",
"IZIZIIIIII",
"ZIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12.5,
8.5,
11.5,
12,
14.5,
5,
9,
3.5,
2,
-3.5
] | 0.970201 | [
0.20900895344121662,
0.08834702350637987,
0.7538779247326433,
-0.031175976228189205,
0.4139193552391309,
0.4279628659911789,
0.6126571953192624,
-0.04547151814426744,
0.17161341309099426,
0.32776669653513696,
0.877775362601984,
0.1365955535893612,
0.547257952006161,
0.03440930277325681,
... | {
"n_parameters": 114,
"n_qubits": 10,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 13 |
-6076511891567190251 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [0, 5], [2, 3], [2, 6], [1, 5], [1, 7], [0, 2], [1, 4]]} | {"states": [143, 31], "expectation_value": -2.6439561062030905, "params": null, "bitstrings": ["01110000", "11100000"], "total_optimization_steps": 68, "probabilities": [0.05781485310604991, 0.7154328849905741], "optimization_time": 94.42060899734497} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111101", "11000010", "00101101", "11010010", "00011111", "11100000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.7113326787667249) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.7113326787667249) q[2];
cx q[3], q[2];
rz(-3.0555244556751404e-08) q[3];
rx(0.724787755745356) q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.7113326787667249) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIZZII",
"IIIIIZIZ",
"IZIIIZII",
"IIZIIIZI",
"ZIIIIIZI",
"IIIZIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.539316 | [
-0.7113326787667249,
-3.055524527651175e-8,
0.724787755745356
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 97 |
-7469543453404346514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 7], [1, 3, 5], [2, 3], [4, 5], [1, 2, 5], [0, 1, 3], [0, 2], [0, 4], [3, 6, 7], [1, 2, 7], [0, 3, 6], [0, 5], [5, 6]]} | {"states": [213, 149], "expectation_value": -3.268727195274022, "params": [1.5915000000000001, -0.0173, 1.1693, 0.0016, 1.5933000000000002, -0.0551, 1.5932000000000002, 0.0021000000000000003, 0.41900000000000004, -0.0074, -0.0112, 0.0054, 1.5899, -0.012400000000000001, 1.3224, 0.0037, 0.5857, -0.0057, 0.054400000000000... | 0.3333333333333333 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) +... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333332, "smallest_bitstrings": ["01101010"], "largest_eigenvalue": 10.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09473190017461222) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.09473190017461222) q[7];
cx q[1], q[7];
cx q[0], q[7];
cx q[1], q[3];
rz(0.09473190017461222) q[3];
cx q[1], q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIZII",
"IIIIZZII",
"IIZIIZII",
"IIIZIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"ZZIIIIII",
"IZIIZIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIII... | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.166666666... | 0.528624 | [
0.09473190017461222,
0.031604898504086196,
0.6317090750973365,
1.4600871669500526,
0.802844505453164,
-0.696280593084564,
-0.7975571447714256
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -3.666666666666665,
"target_ratio": 0.97,
"target_value": -3.5566666666666653
} | 190 |
35eda900f849f65d0cff23e7af228cca | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -12.967931463623252, "params": [-0.001, -0.19590000000000002, 0.0022, -0.2189, -0.0016, -0.22190000000000001, -0.00030000000000000003, -0.22760000000000002, -0.0044, -0.21450000000000002, -0.0015, -0.21710000000000002, -0.0038, -0.2142, -0.0, -0.2209, -0.0032, -0.2156, -0.0026000... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7590292831518554) q[0];
h q[1];
ry(-1.5180585663037107) q[1];
h q[2];
ry(-1.5180585663037107) q[2];
h q[3];
ry(-1.5180585663037107) q[3];
ry(-0.03253979615737071) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5180585663037107) q[5];
ry(-0.02565996005199503) q[6];
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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIIZZIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.75,
-0.75,
-0.5,
-0.25,
1.75,
-1,
-0.75,
-1.5,
-0.25,
-1,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
-1.75,
0.75,
1.5,
-0.75,
-1.25,
1,
0.5
] | 0.944216 | [
-1.5180585663037107,
1.570796361966778,
-0.8117670078046326,
-1.5057166941585869,
-1.5194764984840505,
-0.051319736517702254,
-0.06507967295787837,
-0.06507988172230492,
-0.05132031841585518
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 194 |
ed01866ce53def5a36a69737a2fd120b | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [6458, 6426], "expectation_value": -8.031251455968192, "params": [0.0058000000000000005, 0.0014, -0.0105, -0.007200000000000001, 0.398, 0.394, 0.3912, 0.40040000000000003, 0.002, -0.0028, 0.0046, 0.0054, 0.4005, 0.3965, -0.0043, -0.0022, -0.1789, -0.1784, 0.3301, 0.2866, 0.3961, 0.39790000000000003, 0.390800... | 0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(11) @ Z(12)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(2) @ Z(... | 14 | 15 | 3 | {"smallest_eigenvalues": [-10.333333333333227], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.33333333333315, "smallest_bitstrings": ["110011011100101"], "largest_eigenvalue": 24.666666666666654} | 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];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIIIIZ",
"IIIIIZIZIIIIIII",
"IIIIIIIZIIIIIIZ",
"IIIIIZZIIIIIIII",
"IIIIIIZIIIIIIIZ",
"IIIIIIZZIIIIIII",
"IIZIIZIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIZIIIIIIIIIIZI",
"IIIIZIIIIIIIZII",
"IIIZIIIIIIIIZII",
"... | [
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,
0.5,
0.5,
0.5,
0.5,
0.4166666666666667,
-0.5,
-0.5,
0.5,
-0.08333333333333333,
1,
-0.08333333333333331,
-0.5,
0,
-1,
3,
3,
-0.08333333333333331,
1.8333333333333335,
1.8333333333333335... | 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 |
6498021278841855419 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 1, 2, 3, 5], [1, 4], [2, 3, 4, 5], [3, 5, 6], [1, 2, 5, 7], [4, 5, 6], [1, 6]]} | {"states": [100, 116], "expectation_value": -0.0766334154623724, "params": [[-0.0786], [0.07250000000000001]], "bitstrings": ["10011011", "10001011"], "total_optimization_steps": 10, "probabilities": [0.004283643200452297, 0.004292372397206864], "optimization_time": 0.8515932559967041} | 0.5 * (Z(2) @ Z(6)) + 0.05 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(6)) + 0.21666666666666667 * (Z(5) @ Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5333333333333328], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["10001011"], "largest_eigenvalue": 6.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-0.971555264104328) q[2];
cx q[6], q[2];
cx q[2], q[0];
rz(-0.046479688825279405) q[0];
cx q[2], q[0];
cx q[6], q[1];
rz(-0.971555264104328) q[1];
cx q[6], q[1];
cx q[2], q[1];
rz(0.22824074786505... | OPENQASM 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": []} | [
"IZIIIZII",
"IIIIIZIZ",
"IZIIIIZI",
"IIIIIZZI",
"IIIIIIZZ",
"IZIIZIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IZZIIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIZIIIII",
"IZIIIII... | [
0.5,
0.05,
0.5,
0.13333333333333333,
0.05,
0.16666666666666666,
0.13333333333333333,
0.05,
0.05,
0.3333333333333333,
0.21666666666666667,
0.05,
0.13333333333333333,
0.3,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.083333333... | 0.639283 | [
-0.971555264104328,
-0.046479688825279405,
0.2282407478650517,
0.32063292661124937,
-0.09406692302433246,
-0.09235721511765867,
-0.07160954968032121,
-0.08872388519337941,
-0.22695566666053738,
0.1259699135536305,
-1.370570815121353,
0.10444985698031044,
-1.4835990503114707,
-1.31208302297... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -2.5333333333333328,
"target_ratio": 0.97,
"target_value": -2.4573333333333327
} | 373 |
68c7da6fdb681219b05150137870d7db | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -0.29846223882715694, "params": [[0.0721, 0.06810000000000001], [-0.061500000000000006, -0.053700000000000005]], "bitstrings": ["1010", "1110"], "total_optimization_steps": 10, "probabilities": [0.07833619922001706, 0.08340762809982419], "optimization_time": 0.9916915893554688} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
e33d6f1fc62bdc37a895a648cbf909d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -16.863119920296157, "params": [0.5437000000000001, 0.8943000000000001, 0.6565000000000001, 1.6045, 0.5553, 1.0541, 0.6336, 1.5176, 0.6325000000000001, 0.9806, 0.6473, 1.9457, 0.21780000000000002, 0.8248000000000001, -0.075, 1.7931000000000001, 0.1729, 0.9410000000000001, -0.09... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + 1.5 * Z(4) | 6 | 7 | 2 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.172440072829037) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.172440072829037) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.031941857226234216) q[1];
rx(-1.103507315488369) q[1];
rz(-1.172440072829037) q[2];
cx q[0], q[2];
rz(0.0319... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
-2,
1.5,
-2,
1.5
] | 0.684074 | [
-1.172440072829037,
-0.753228570136881,
-0.460136997912491,
0.031941857226234355,
-0.1475340401282707,
0.13187821518191614,
-1.1035073154883688
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 201 |
028dc0beec7314e3d2917229620e9db3 | 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": 5, "source": 0, "target": 9}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -15.704677021638007, "params": [[[-0.0241, 0.5761000000000001], [0.0026000000000000003, -0.0111], [0.0021000000000000003, 0.0022], [0.0019, 0.0027], [0.0023, 0.0022], [0.003, 0.003], [0.0021000000000000003, -0.0027], [0.0016, 0.0025], [0.0019, -0.0025], [-1.2242, -0.6854], ... | -1.25 * (Z(0) @ Z(10)) + -0.5 * (Z(1) @ Z(10)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(10)) + -1.25 * (Z(9... | 15 | 11 | 4 | {"smallest_eigenvalues": [-16.25, -16.25, -16.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.25, "smallest_bitstrings": ["10000000000", "10000100001", "11001110011"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.1480606238375928) q[0];
ry(0.004772963156547086) q[1];
ry(0.21788470416321856) q[2];
ry(-0.01748608664110888) q[3];
ry(-0.0043243916913579105) q[4];
ry(0.006824043691220828) q[5];
ry(0.21788470416321856) q[6];
ry(0.03569266488179986) q[7];
ry(-0.01748608664110888)... | OPENQASM 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": []} | [
"ZIIIIIIIIIZ",
"ZIIIIIIIIZI",
"IIIIIIZIIZI",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIIIIZIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IIIIZIIIZII",
"ZZIIIIIIIII",
"IZIIIIZIIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IIZIIIIIIZI",
"IIZIIIZIIII",
"IIZIIIIZI... | [
-1.25,
-0.5,
-1.25,
-0.5,
-0.5,
-1.25,
-1.5,
1.5,
-0.25,
-1,
-1.25,
-0.75,
-0.5,
-1.25,
-1,
-0.25,
-1.5,
-1,
-0.75,
-0.25,
-0.25,
0.25,
-0.25,
-1.75,
1.5,
-2,
1.75,
-0.5,
-1.5,
-0.75,
0.5,
2.75
] | 0.970842 | [
0.1480606238375928,
0.004772963156547086,
0.21788470416321856,
-0.01748608664110888,
-0.0043243916913579105,
0.006824043691220828,
0.03569266488179986,
-1.2063417496418691,
0.02450578317594816,
0.47745744703046455,
0.14335298656542414,
-0.022850713914495516,
-0.011934830497271233,
0.038474... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 82 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [45, 86], "expectation_value": -0.13648411322743603, "params": [[-0.0553, -0.0697], [0.0693, 0.07060000000000001]], "bitstrings": ["1010010", "0101001"], "total_optimization_steps": 10, "probabilities": [0.009595302565808931, 0.009595302565808931], "optimization_time": 4.355302572250366} | 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)) ... | 1 | 7 | 2 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"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 |
f222dfb2324275edf5e9240be57dcb14 | 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": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [102, 116], "expectation_value": -4.999883694157715, "params": null, "bitstrings": ["0011001", "0001011"], "total_optimization_steps": 29, "probabilities": [1.634929288736166e-05, 0.9999151802076248], "optimization_time": 22.8391592502594} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07648152232230113) q[0];
rz(0.9216052864556517) q[0];
rx(1.7238757987083333) q[1];
rz(0.5715058600387561) q[1];
rx(0.5367869467538573) q[2];
rz(0.022857746598916207) q[2];
rx(1.8244911597998281) q[3];
rz(-0.23271919603398716) q[3];
rx(-0.32748779038630377) q[4];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
0
] | 0.970993 | [
-0.07648152232230113,
0.6285015174134017,
1.7238757987083333,
0.5715058600387561,
0.5367869467538573,
0.022857746598916207,
1.8244911597998281,
-0.23271919603398716,
-0.32748779038630377,
0.01580364509740706,
2.1030469978115702,
0.30694892068083535,
1.2562968153353444,
0.25420176798302757,... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 28 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.923580020987941, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.13608908662623545, 0.5552705121777858], "optimization_time": 53.48081135749817} | 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)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | null | {"k": 4} | {"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(-0.069) 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 \"stdgat... | [
"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,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
ab341360a725e6b2f6204b135ea8e845 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.7810805975530206, "params": [[0.0363, 0.0345, 0.0658, 0.0471], [-0.0335, -0.0212, -0.049600000000000005, -0.043300000000000005]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007370826173632116, 0.007872802586445984], "optimiz... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3616489854973577) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.06786389583435384) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.06786389583435384) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.08036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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",
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IZIIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-0.5,
1,
-0.25,
-0.75,
0.5,
-0.25,
0,
0,
0.5,
-0.75,
0.5,
-0.5
] | 0.85084 | [
-0.3616489854973577,
-0.06786389583435384,
0.08036266502885292,
0.014122342550911144,
-0.06025999169762382,
-2.122194135643358,
-0.9339622963225644,
1.2077324071539282,
0.505924878081681,
0.09722562124955719,
0.20834114901752002,
0.03267940985594221,
-1.292535824377209,
1.3866019892713894,... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
-2568259880308180167 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2], [2, 3], [2, 5], [4, 6], [2, 6], [0, 3]]} | {"states": [75, 11], "expectation_value": -2.1047151893194567, "params": null, "bitstrings": ["0110100", "1110100"], "total_optimization_steps": 50, "probabilities": [0.13865806236412243, 0.689948766869103], "optimization_time": 52.9860315322876} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110100", "0011100", "0110100", "1000011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.3067692718913381) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.3067692718913381) q[6];
cx q[3], q[6];
cx q[1], q[6];
cx q[3], q[0];
rz(0.6693539302483695) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.66... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIZIZI",
"ZIIZIII",
"ZIIIIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZIZ",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666674,
0.16666666666666666,
0.16666666666666674,
0,
0,
0,
0
] | 0.515754 | [
0.3067692718913381,
0.6693539302483695,
-0.1335951659386469,
-0.7073823420185018
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 110 |
e7056fbb187e68baa5d05b0b9cb6a901 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 2}, {"weight": 11, "source": 1, "target": 3}, {"weight": ... | {"states": [250, 122], "expectation_value": -36.888272186272, "params": [[-0.042, 0.0034000000000000002, 0.005200000000000001, 0.0125], [0.07050000000000001, 0.0668, 0.07100000000000001, 0.061000000000000006]], "bitstrings": ["00000101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.02190145747906323... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
15.5,
12,
23.5,
12.5,
16.5,
9.5,
16.5,
0.5
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
05079e6d07a75050861859cedc3b1130 | 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": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [65, 73], "expectation_value": -8.719136306211135, "params": [0.5477000000000001, -0.0027, 1.5989, -0.0032, 1.6019, -0.0037, 0.1638, 0.0023, -0.19990000000000002, 0.2033, 1.5989, 0.0115, -0.0152, -0.0014, -0.0024000000000000002, -0.07010000000000001, 1.6121, 0.006500000000000001, -0.5685, -1.5833000000000002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) ... | 4 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.0, "smallest_bitstrings": ["110110110", "101110110"], "largest_eigenvalue": 30.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.24629792350646587) q[0];
rz(1.656864244268104) q[0];
rx(2.6788070687320906) q[1];
rz(1.1591672281484051) q[1];
rx(1.9784083966169799) q[2];
rz(1.2224344032524925) q[2];
rx(-0.037272059806938124) q[3];
rz(1.5533539416778428) q[3];
rx(-0.0405860999227619) 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": []} | [
"IIIIIIIZZ",
"IIIZIIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIIZIIZI",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIIZII",
"... | [
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,
-1.5,
-3,
-1,
-1.5,
-2.5,
-2.5,
-2.5
] | 0.970488 | [
0.2462979235064659,
0.08606791747320744,
2.6788070687320906,
-0.41162909864649194,
1.9784083966169796,
-0.3483619235424044,
-0.03727205980693812,
-0.017442385117053844,
-0.04058609992276191,
0.2740020168259216,
-0.14120985244898862,
-0.2139122589716791,
-0.07863241009499546,
0.139153978036... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 15 |
91fd701868951eab612ba86420778b2e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -3.9963046828491047, "params": null, "bitstrings": ["110001", "010101"], "total_optimization_steps": 22, "probabilities": [0.06706466845670207, 0.9295035070622214], "optimization_time": 19.056156396865845} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIIZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
08c67341dc145cbcaebda78167dc1cab | 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": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [40, 42], "expectation_value": -5.9356707463052425, "params": [-0.013600000000000001, -0.0112, -0.015300000000000001, -0.0108, 0.1514, 0.15080000000000002, 0.40140000000000003, 0.3981, 0.3895, 0.3906, 0.4055, 0.401, 0.0008, 0.0019, 0.3972, 0.39790000000000003, -0.0152, -0.0212, -0.0079, -0.009000000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["101010111", "111101001", "110101011", "111100101", "111010101", "110011110", "010011111", "011010111"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.1650790125779261) q[0];
rz(0.11425162257797802) q[0];
ry(0.27918384238008975) q[1];
ry(0.258159121585115) q[2];
ry(0.7208712876150878) q[3];
ry(0.36619141986247133) q[4];
ry(0.821361848843488) q[5];
ry(-0.3207293025291453) q[6];
ry(0.9144598937435137) q[7];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZZI",
"IZIIIIZII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"... | [
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,
-2,
-1.5,
-1.5,
-1.5,
-2.5,
-1,
-1,
-0.5
] | 0.973601 | [
-0.1650790125779261,
0.27918384238008975,
0.258159121585115,
0.7208712876150878,
0.36619141986247133,
0.821361848843488,
-0.3207293025291453,
0.9144598937435137,
-0.4244556747691462,
0.22850324515595605,
-0.0672446091885813,
0.2575623591593704,
0.15888375242488828,
0.156567322188217,
0.1... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 19 |
50b1c25b4f3602b10eee86e1dbea9d5c | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [82, 114], "expectation_value": -3.021768394853257, "params": [[[1.6059, 0.0098], [1.6022, 0.0033], [1.6078000000000001, 0.0006000000000000001], [0.0022, 0.0048000000000000004], [0.1376, 0.0024000000000000002], [1.6054000000000002, 0.0037], [0.3755, 0.0034000000000000002]]], "bitstrings": ["0101101", "000110... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + -1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8499915884053235) q[0];
rz(-0.14349891772228895) q[0];
rx(1.203877261600702) q[1];
rz(0.2150393365018637) q[1];
rx(1.040609558335803) q[2];
rz(-0.08177450222485838) q[2];
rx(0.01954086942686225) q[3];
rz(0.23127635564330884) q[3];
rx(0.1434676212007759) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"ZIIZIII",
"ZIIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
0,
-1,
-1,
-1
] | 0.97165 | [
0.8499915884053235,
-0.16699737334558484,
1.2038772616007019,
0.21966274366901276,
1.0406095583358033,
-0.045300346746162776,
0.01954086942686225,
0.36689790091452473,
0.1434676212007759,
0.1777136368610626,
0.8738761575694459,
0.17950440151432287,
-0.01685254030077451,
0.4415997003909127,... | {
"n_parameters": 59,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [59355, 60795], "expectation_value": -14.296928519319282, "params": [[0.14980000000000002, 0.14], [-0.1721, -0.1874]], "bitstrings": ["0001100000100100", "0001001010000100"], "total_optimization_steps": 20, "probabilities": [0.001215241074213919, 0.001216501943671889], "optimization_time": 382.2927906513214} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-20.000000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999975, "smallest_bitstrings": ["0001001010000100"], "largest_eigenvalue": 68.00000000000034} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0361059844083795) q[0];
rz(0.2538864396112084) q[0];
rx(0.6189462132348078) q[1];
rz(-0.21762453154559475) q[1];
rx(0.6524000169646366) q[2];
rz(0.24446300716621922) q[2];
rx(-0.12421013628383518) q[3];
rz(0.2697688833504035) q[3];
rx(0.7337250473435663) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971641 | [
1.0361059844083795,
0.04207048271458553,
0.6189462132348078,
-0.21762453154559475,
0.6524000169646366,
0.24446300716621922,
-0.12421013628383518,
0.2697688833504035,
0.7337250473435663,
0.10891100270157394,
0.9285896273892676,
0.30968646813099326,
0.08969789985041493,
0.30290502113283285,
... | {
"n_parameters": 183,
"n_qubits": 16,
"optimal_eigenvalue": -20.00000000000009,
"target_ratio": 0.97,
"target_value": -19.400000000000084
} | 24 |
-3921038216201407890 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 4, 5], [0, 1, 6], [0, 2, 6], [0, 3, 4, 5]]} | {"states": [55, 63], "expectation_value": -0.5183424815650877, "params": [[-0.38020000000000004], [0.3774]], "bitstrings": ["1001000", "1000000"], "total_optimization_steps": 40, "probabilities": [0.015180364008627985, 0.015509083352402423], "optimization_time": 1.3021159172058105} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0833333333333335, "smallest_bitstrings": ["1000000", "0000011", "0000101", "0111000"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4725199726106217) q[0];
h q[1];
h q[2];
h q[3];
ry(0.39526718023533913) q[3];
ry(-2.176080564873306) q[4];
rz(-pi) q[4];
cx q[0], q[4];
ry(-0.22881193866198943) q[4];
cx q[0], q[4];
h q[5];
ry(-0.11873203798671217) q[5];
cx q[4], q[5];
ry(0.1187320379867121... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"IZZIIII",
"IIIIIZZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZIIZ",
"IIZZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII"
] | [
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.29166666666666663,
0.58333333... | 0.970106 | [
1.4725199726106217,
-0.5024635867339626,
0.37647229941642013,
-0.4541412320839594,
0.45762387732397886,
-0.23746407597342434,
0.4939869479578145,
-0.23127547177112834,
0.3231988370046115,
-0.24747147200822528,
0.5655408820232343,
-0.4491478845137812,
0.4031860521632165,
0.36703523081799905... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -1.1666666666666667,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 2 |
13395b3e8f5e4d47dab66af622a16025 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [0, 63], "expectation_value": -8.077962742735451, "params": [[[-0.0024000000000000002, 1.6099], [0.0031000000000000003, -0.0023], [0.0019, 0.0025], [0.0017000000000000001, 0.0022], [0.0025, 0.0017000000000000001], [0.0023, 0.0027]]], "bitstrings": ["111111", "000000"], "total_optimization_steps": 160, "proba... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + 1.0 * Z(3) + 1.0 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.883129018214467) q[0];
h q[1];
h q[2];
ry(0.7986258573069778) q[2];
cx q[1], q[2];
ry(-0.7986258573069778) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.883129018214467) q[0];
cx q[2], q[0];
ry(-0.5798041950620261) q[1];
cx q[0], q[1];
ry(0.5798041950620261) 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[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.959547 | [
1.766258036428934,
2.332300610211534,
-2.587020488435885,
1.5972517146139555,
-1.1596083901240521,
0.6855933309183274,
1.9438246399583414,
-0.12785913588270906,
0.19004137607467664,
0.007976453507783041,
2.5295109747006177,
1.5678024309300438,
2.3846878509826817,
-1.108856355073381,
-1.4... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
f69f02979a3dd856d2f0528e75cb43d5 | 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": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 13, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [398, 236], "expectation_value": -27.327890574087277, "params": [[-0.0315, -0.011600000000000001, 0.0129, 0.004], [0.060700000000000004, 0.0613, 0.058600000000000006, 0.0613]], "bitstrings": ["001110001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.009764295324046894, 0.0132725680640883... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 17.5 * Z(1) + 5.0 * Z(0) + 15.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08508383351244203) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08508383351244203) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08508383351244203) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.08508383351244203) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
5,
15.5,
5.5,
8.5,
7.5,
16,
7,
-1.5
] | 0.970868 | [
-0.08508383351244203,
1.6352305149813327,
-1.5608456141352538,
1.4841041323195372,
1.729954073718733,
-1.2806005076562406,
1.449339560603237,
1.3519850224932846,
-1.3624678173902445,
-1.6502802957065026,
-1.6249373051283424
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 36 |
-2366032373491310907 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6, 7], [1, 2, 3, 4], [3, 4, 6], [4, 7], [3, 4, 5], [0, 3], [1, 4, 5], [1, 3, 5]]} | {"states": [206, 238], "expectation_value": -2.332846310662741, "params": null, "bitstrings": ["00110001", "00010001"], "total_optimization_steps": 49, "probabilities": [0.18192682082472084, 0.7238840513480789], "optimization_time": 73.91480159759521} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666666, "smallest_bitstrings": ["00010001"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(3.039770235239098) q[0];
rz(-1.1795347369006062) q[0];
ry(0.14612448175497006) q[1];
rz(-0.7468691296113548) q[1];
cx q[1], q[0];
ry(0.2913196916116889) q[1];
rz(0.2391692310306112) q[1];
ry(1.7270719034422086) q[2];
rz(-0.009657124306720423) q[2];
ry(1.8115423108919... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5158) 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIII... | [
0.03333333333333333,
0.11666666666666667,
0.03333333333333333,
0.36666666666666664,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.979446 | [
3.039770235239098,
-1.1795347369006062,
0.14612448175497006,
-0.7468691296113548,
1.7270719034422086,
-0.009657124306720423,
1.811542310891937,
0.11462225810309648,
1.8552064631287148,
0.07541128798723173,
0.16010461109383864,
0.3112556961428443,
1.646904274695981,
0.1312943281486993,
0.... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -2.416666666666667,
"target_ratio": 0.97,
"target_value": -2.3441666666666667
} | 13 |
286938647322323628 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3], [0, 2], [8, 4], [0, 4], [0, 5], [8, 6], [5, 7], [5, 6], [0, 3], [1, 3], [0, 7], [8, 3], [8, 5], [2, 5], [2, 4], [4, 7], [3, 4], [0, 1], [3, 5], [1, 5], [3, 7], [3, 6], [8, 1]]} | {"states": [184, 327], "expectation_value": -0.2727234198080446, "params": [[-0.0787], [0.0792]], "bitstrings": ["101000111", "010111000"], "total_optimization_steps": 10, "probabilities": [0.0024167125845057386, 0.0024167125845057386], "optimization_time": 2.5531046390533447} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["100111000", "101000111", "100101001", "011010110", "011000111", "010111000", "000111000", "111000111"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.685820766556245) q[0];
h q[1];
ry(-0.1285406776519704) q[1];
h q[2];
ry(1.6505812015118293) q[2];
h q[3];
ry(-0.13038674514655227) q[3];
h q[4];
ry(-0.7115572628407212) q[4];
cx q[2], q[4];
ry(0.7115572628407212) q[4];
cx q[2], q[4];
ry(-0.19723170705950954... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZIZ",
"ZIIIIZIII",
"IIIIZZIII",
"IIIIZIZII",
"IIIIZIIIZ",
"ZIIIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"ZIIZIIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"... | [
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
] | 0.972584 | [
-0.26077349029310454,
1.0327515883104794,
-0.4020108847845147,
0.41285318438367824,
-0.3101488247601744,
1.6505812015118293,
-1.4231145256814424,
0.4922830022368682,
0.8430516075518869,
-0.5525695602179306,
1.3282055279384029,
-0.9105183762817275,
1.37164153311249,
-0.0289642498444814,
0... | {
"n_parameters": 55,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 46 |
a9799b4ee1d10c85513491b8608bbce0 | 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": 3}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [62, 46], "expectation_value": -3.765829719189057, "params": [-0.006900000000000001, 0.3781, 0.0054, -0.1075, 0.7070000000000001, -0.0034000000000000002, 0.38120000000000004, -0.0692, 0.6935, 0.0016, 0.6971, -0.0029000000000000002, 0.7011000000000001, -0.0008, -0.004200000000000001, -0.3211, -0.0043, 0.3794,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + 0.0 * Z(4) + -1.0 * Z(1) + -0.5 * Z(6) + -1.0 * Z(7) + 0.0 * Z(5) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10010011", "11010001", "11010100", "11000011"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.20323485212393544) q[0];
rz(1.758838943737901) q[0];
rx(0.12839946699709928) q[1];
rz(1.3459763442591335) q[1];
rx(1.0689893687188998) q[2];
rz(1.5085799110194538) q[2];
rx(0.18202605727758053) q[3];
rz(1.6264362043385994) q[3];
rx(0.5470178646516047) q[4];
rz(1.84... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IZIIZIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.971401 | [
0.20323485212393538,
0.18804261694300395,
0.1283994669970993,
-0.22481998253576257,
1.0689893687188998,
-0.06221641577544279,
0.18202605727758053,
0.05563987754370284,
0.5470178646516046,
0.27717855362506244,
0.7129841572827783,
-0.0835901455717232,
1.1507933519419822,
0.06559018436773606,... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 11 |
cf37919d6a949ddf46d1ba52baad11a7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [97, 41], "expectation_value": -5.996464085561496, "params": null, "bitstrings": ["0011110", "1010110"], "total_optimization_steps": 25, "probabilities": [0.06634840431890256, 0.9303662506162153], "optimization_time": 19.948329210281372} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -1.5 * Z(0) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "0011110"], "largest_eigenvalue": 16.0} | 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(... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"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,
0.5,
-2,
-1.5,
-1.5,
-2,
-2,
0,
-0.5
] | 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 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 7], "expectation_value": -4.690011470750852, "params": [[0.060700000000000004, 0.039], [-0.061500000000000006, -0.0383]], "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013278235916411, 0.014067246963374129], "optimization_time": 4.370595693588257} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 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[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h 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] 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",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
-3775562683596928461 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5, 7], [8, 0, 2], [0, 2, 4], [6, 7], [3, 4], [1, 3, 5], [0, 5], [4, 5], [8, 5], [1, 7], [0, 1, 3], [2, 3], [5, 6], [8, 0, 3], [0, 6], [2, 6]]} | {"states": [346, 362], "expectation_value": -4.400843096073418, "params": null, "bitstrings": ["010100101", "010010101"], "total_optimization_steps": 59, "probabilities": [0.10330537992177624, 0.81678305385181], "optimization_time": 121.69142198562622} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333332, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.03502422142282709) q[2];
cx q[5], q[2];
h q[6];
h q[7];
cx q[5], q[7];
rz(0.03502422142282709) q[7];
cx q[5], q[7];
cx q[2], q[7];
rz(0.03502422142282709) q[7];
cx q[2], q[7];
h q[8];
cx q[5], q[8];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5298) 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] = m... | [
"IIIZIIZII",
"IZIZIIIII",
"IZIIIIZII",
"ZIIZIIIII",
"ZIIIIIZII",
"IIIZIIIIZ",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IIZZIIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIIIIIZ",
"IIIZIZIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.1... | 0.47835 | [
0.03502422142282709,
-0.5676629208037892,
-0.1741269313976649,
-1.3663744022477073,
0.6639426626287832,
0.8168935244991573
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -4.666666666666666,
"target_ratio": 0.97,
"target_value": -4.526666666666666
} | 158 |
ee1205bd74dfee0fb5e9d23196a23f92 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 1015], "expectation_value": -23.52070147703191, "params": [[[0.0026000000000000003, 3.1611000000000002], [0.0023, 0.0024000000000000002], [0.0018000000000000002, 0.002], [0.0019, 0.0019], [0.0023, 0.002], [0.0023, 0.0021000000000000003], [1.6145, 0.0022], [0.0029000000000000002, -0.0019], [0.002, 0.00... | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5... | 15 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0000001000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7962403133885255) q[0];
h q[1];
h q[2];
h q[3];
ry(0.8089387154435163) q[3];
h q[4];
ry(0.7237587183452996) q[4];
cx q[1], q[4];
ry(-0.7237587183452996) q[4];
cx q[1], q[4];
cx q[4], q[0];
ry(-0.7962403133885255) q[0];
cx q[4], q[0];
ry(1.4801087463420552)... | OPENQASM 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[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZIIZII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII"... | [
-3,
1,
-2,
-3,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
1,
0.5,
-2.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.942394 | [
1.4475174366905992,
1.592480626777051,
2.9602174926841105,
-0.14463068272393667,
-1.5090937871046832,
1.6178774308870325,
-0.036205434217742416,
0.01579664382921674,
0.000443171266474144,
0.12444997267441851,
-0.03292440636448059,
0.09418077449847315,
0.5858072604757351,
-0.002196386165572... | {
"n_parameters": 70,
"n_qubits": 10,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 500 |
834390fba4c480def6c6a26217d7a9af | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -10.499999938947196, "params": null, "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 26, "probabilities": [4.003266179411504e-08, 0.999999957628926], "optimization_time": 19.16401505470276} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.869273259256995) q[0];
ry(0.09542235691189135) q[0];
rz(-1.8369290239007654) q[0];
rz(-1.3551396718991269) q[1];
ry(2.50727987045565) q[1];
rz(1.7167877129662905) q[1];
rz(2.3001577391064183) q[2];
ry(0.08000879805697068) q[2];
rz(-0.6784659726885094) q[2];
rz(-1.9... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
2.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
1.5,
1.5
] | 0.97592 | [
-0.005918934518704563,
0.49370722410123724,
-0.8849965050263602,
0.07845337494703145,
0.02616735845959705,
0.7776578446832089,
-0.05296051004187756,
0.6678277614367606,
0.20933129799598119,
0.8357708806427091,
-0.050070225743099474,
0.7236417753361262,
1.1561876310254893,
-0.03088305928298... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 4 |
6682425669023966102 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 5], [0, 7], [3, 5], [5, 7], [2, 7], [6, 7], [4, 6], [0, 2], [0, 9], [2, 6], [9, 5], [5, 6], [2, 5], [1, 5], [1, 2], [9, 7], [1, 9], [1, 4], [0, 6], [10, 6], [8, 7], [10, 3], [3, 6], [9, 6], [4, 5], [9, 2], [4, 7]]} | {"states": [696, 568], "expectation_value": -0.11526291621415755, "params": [[[1.4671, 0.008700000000000001], [1.7319, 0.0024000000000000002], [1.4441000000000002, 0.0043], [1.4963, 0.0023], [1.4012, 0.0045000000000000005], [1.6846, 0.003], [1.7144000000000001, 0.0082], [1.723, 0.0095], [1.4199000000000002, 0.0095], [1... | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -4.5, "smallest_bitstrings": ["10111000110", "00111000110", "00111010110", "11000101001", "01000111000", "01000111001", "00111000111", "11000111000", "10111000111", "11000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.0217113611293396) q[0];
rz(-0.617913669231944) q[0];
rx(2.960229279839397) q[1];
rz(1.0759264947844431) q[1];
rx(0.2587726786214267) q[2];
rz(-0.26987428126527613) q[2];
rx(-0.027288501523517278) q[3];
rz(0.4377550487876595) q[3];
rx(-0.1351051730920594) 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": []} | [
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIIZIIIIIIZ",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIZIIIIZII",
"IIIIIIIIZIZ",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IIIIZIZIIII",
"IZIIIZIIIII",
"IZIZIIIIIII",
"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,
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
] | 0.974828 | [
2.0217113611293396,
-0.617913669231944,
2.960229279839397,
1.0759264947844431,
0.2587726786214267,
-0.26987428126527613,
-0.027288501523517278,
0.4377550487876595,
-0.1351051730920594,
-1.2936606495240988,
3.110297697693296,
1.4302834578608374,
2.714604556881068,
0.21279042515022395,
3.0... | {
"n_parameters": 21,
"n_qubits": 11,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 37 |
2189038496565069660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3], [1, 4, 5, 7], [0, 1, 2, 7], [5, 6]]} | {"states": [219, 189], "expectation_value": -0.589560163681358, "params": [[0.46280000000000004], [-0.4375]], "bitstrings": ["00100100", "01000010"], "total_optimization_steps": 50, "probabilities": [0.010453566306552095, 0.010472360174365817], "optimization_time": 1.6934380531311035} | 0.25 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["00101010", "10010100", "01000010", "00010011", "10011010"], "largest_eigenvalue": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.4690458155008015) q[1];
h q[2];
h q[3];
ry(-0.17119570432150794) q[3];
cx q[2], q[3];
ry(0.17119570432150794) q[3];
cx q[2], q[3];
ry(-0.24231503022943002) q[3];
ry(0.4253041685490222) q[2];
h q[4];
h q[5];
h q[6];
ry(-0.46053681076913094) q[6];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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];
r... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"ZIIIIIIZ",
"IZZIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII"
] | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.29166666666666663,
0.... | 0.971734 | [
1.4690458155008015,
-0.9210736215382619,
0.8271068713254088,
-0.43371969431487045,
0.6495710812236709,
-0.4156210520091963,
-0.34239140864301587,
0.4253041685490222,
0.14970126360602812,
0.5728753429936099,
-0.48463006045886003,
0.3311249365278287,
-0.3793679865406752,
-0.4788796670708429,... | {
"n_parameters": 51,
"n_qubits": 8,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 7 |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [78, 46], "expectation_value": -1.8264666766165711, "params": null, "bitstrings": ["0110001", "1010001"], "total_optimization_steps": 55, "probabilities": [0.08695454096584285, 0.7299681582743718], "optimization_time": 87.09565496444702} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.3016) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IZZIIII",
"IZZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"ZIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"III... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.125,
-0.25,
-0.125,
0,
0.125,
0.125
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
-7859137176385500933 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3], [1, 2, 4, 5, 9], [1, 2, 3], [0, 5, 7, 8, 9], [0, 8, 6], [0, 4, 7, 8, 9], [1, 7], [8, 2], [2, 3, 4, 5, 7], [4, 6], [5, 6, 7, 8, 9], [9, 3, 6]]} | {"states": [355, 669], "expectation_value": -2.8714197237092316, "params": [[[3.1495, 0.0053], [3.1615, 0.0076], [3.1618, 0.0017000000000000001], [0.7708, 0.0032], [3.1613, 0.008400000000000001], [0.1685, 0.0054], [0.5714, 0.0007], [3.1607000000000003, 0.0027], [1.6225, 0.0022], [3.1611000000000002, 0.0014]]], "bitstri... | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(2)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(2)) + 0.... | 2 | 10 | 1 | {"smallest_eigenvalues": [-3.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["0101100010"], "largest_eigenvalue": 10.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.140526098873936) q[0];
rz(0.2146482280748158) q[0];
rx(3.0602464265650684) q[1];
rz(0.22413668042088783) q[1];
rx(2.9928299994267844) q[2];
rz(0.19258835662071289) q[2];
rx(-0.02922530876238376) q[3];
rz(0.1600172835493425) q[3];
rx(3.0086568020930526) 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": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"IIZIIIZIII"... | [
0.5,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.05,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.1,
0.1,
0.16666666666666666,
0.1,
0.05,
0.05,
0.1,
0.15000000000000002,
0.05,
0.1,
0.5,
0.05,
0.1,
0.15000000000000002,
0.15000000000000002,
0.2666666666... | 0.977893 | [
3.140526098873936,
0.2146482280748158,
3.0602464265650684,
0.22413668042088783,
2.9928299994267844,
0.19258835662071289,
-0.02922530876238376,
0.1600172835493425,
3.0086568020930526,
-0.18511701233429614,
0.03479757817635033,
0.18180353110288688,
-0.03262401839996119,
0.4746607622294898,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -3.666666666666668,
"target_ratio": 0.97,
"target_value": -3.5566666666666675
} | 15 |
66118b4a39d9f94415b36602b745f3db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [29, 63], "expectation_value": -1.9999483925054182, "params": [[-0.0025, -0.0025, -0.001, 1.0262, 0.0009000000000000001, -0.0025, -0.0024000000000000002], [0.0021000000000000003, -0.004, 0.0029000000000000002, 0.9869, 0.0028, -0.0034000000000000002, 1.5701], [-0.0023, 1.0628, 0.9938, 1.5729, 0.9577, 0.774400... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 9 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.12524510593503183) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.2057321989079934) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.12524510593503183) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.2057... | OPENQASM 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": []} | [
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.5,
0.5,
0,
0.5
] | 0.959452 | [
-0.12524510593503183,
-0.2057321989079934,
0.18692089032363474,
0.6210941574237907,
0.4969742707579973,
0.9038872847986754,
-1.528486332966517,
-0.26931922132779773,
-0.442174215049874,
0.3538515939923324,
1.0125796270904612,
0.4397668488203588,
-1.1536132104223544,
-0.5382064669199504,
... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
747385e04fd0dd2b6d0c4622d0e7e638 | 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": [246, 214], "expectation_value": -75.89036899639851, "params": [0.0034000000000000002, 0.8722000000000001, 0.0035, 0.0053, 0.4626, 0.4307, 0.4585, 0.004, 1.3016, 0.0051, 1.3022, 0.001, 1.3064, 0.0281, 1.3013000000000001, 0.0028, 0.8795000000000001, -0.33480000000000004, 0.8839, 0.0015, 1.3025, 0.0572, 1.3033... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(8) @ Z(9)) + 7.0 * Z(2) + 1.5 * Z(1) + 11.0 * Z... | 5 | 10 | 1 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1100101001"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.12521619381384647) q[0];
rz(0.8453588523243916) q[0];
rx(-0.1420033337584741) q[1];
rz(0.7953104569244669) q[1];
rx(1.5865365641386013) q[2];
rz(-0.013998224030498108) q[2];
rx(1.402390838240295) q[3];
rz(0.12165929462349467) q[3];
rx(0.1513494419529621) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"ZIZIIIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
7,
1.5,
11,
-5,
9,
16.5,
2.5,
13,
0.5,
20
] | 0.973858 | [
0.12521619381384647,
0.8955446112054101,
-0.14200333375847407,
0.460272931958411,
1.5865365641386013,
-0.04574283892260184,
1.4023908382402948,
0.14542625307880871,
0.15134944195296213,
-0.5293312060729387,
1.5967532665559765,
0.24898702100368253,
0.10945135982493781,
0.14363620930271753,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 41 |
6406377401047289872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 6], [9, 7], [0, 4], [8, 4], [8, 10], [3, 7], [2, 4], [4, 6], [6, 7], [8, 7], [0, 10], [0, 2], [9, 4], [10, 2], [1, 2], [1, 7], [11, 6], [0, 7], [2, 5], [0, 6], [8, 11], [10, 5], [9, 3], [9, 10], [5, 7], [0, 11], [10, 4], [8, 1], [11, 7]]} | {"states": [2207, 2203], "expectation_value": -0.07978417865564265, "params": [0.8304, 0.8274, 0.734, 0.7389, 0.7273000000000001, 0.7282000000000001, 0.7347, 0.7412000000000001, 0.8400000000000001, 0.8363, 0.7391000000000001, 0.7354, 0.7454000000000001, 0.7391000000000001, 0.8225, 0.8234, 0.8254, 0.8311000000000001, 0.... | 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["001111100100", "100010011011", "110000011011", "011101100100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.763712976380016) q[0];
rz(0.016961944738937196) q[0];
ry(-0.2134470775164936) q[1];
ry(-0.11582016961832903) q[2];
ry(-0.06880218544013199) q[3];
ry(1.7496087930789335) q[4];
ry(-0.675282364503533) q[5];
ry(0.7212289236363937) q[6];
ry(0.35201121221591325) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZIIIII",
"ZIIIIIZIIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"ZIZIIIIIIIII",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIZIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIIIZ",
"IZZIIIIIIIII",
"IZIIIZIIIIII",
"ZIIIIIIIIZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIZII",
"IZIIIIIIIZII",
"IIIIIIIZIIIZ",
"IIIIIZIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970879 | [
1.763712976380016,
-0.2134470775164936,
-0.11582016961832903,
-0.06880218544013199,
1.7496087930789335,
-0.675282364503533,
0.7212289236363937,
0.35201121221591325,
1.436196744093055,
0.1956730100738499,
1.6576874020152281,
1.1167667627973115,
0.03392388947787439,
-0.12892349060417974,
-... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 54 |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [53, 54], "expectation_value": -10.331102050909694, "params": null, "bitstrings": ["1111001010", "1111001001"], "total_optimization_steps": 56, "probabilities": [0.06602023930105408, 0.9316334213246862], "optimization_time": 97.68369626998901} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 3 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"], "largest_eigenvalue": 26.666666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008562219394374999) q[0];
rz(-0.18065508670005936) q[0];
rx(-0.0028228946995007883) q[1];
rz(-0.28081080015860127) q[1];
rx(0.008562219394374997) q[2];
rz(0.009275911461020393) q[2];
rx(0.008562219394374997) q[3];
rz(0.16646644706220792) q[3];
rx(0.440647895616474... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.2796) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-0.5,
-1,
0.6666666666666667,
0.5,
-0.5,
-1,
-0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
0.5,
0.5,
-1,
1,
1,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-2.5,
1.1102230246251565e-16,
2.220446049250313e-16,
0,
2.5,
2.5,
2,
4,
-0.5,
-0.5
] | 0.979582 | [
0.008562219394374997,
-0.15097596248673917,
-0.0028228946995007883,
-0.28081080015860127,
0.009275911461020393,
0.16646644706220792,
0.4406478956164749,
-0.09140447979676149,
2.665613078940768,
-0.11848032829119896,
3.109469190815953,
0.2534456444784792,
3.2595205084667747,
-0.077611468584... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -10.333333333333332,
"target_ratio": 0.97,
"target_value": -10.023333333333332
} | 11 |
902d1b67930e0629acecd09204caf4e9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [136, 95], "expectation_value": -2.94429511617757, "params": [[0.0539, 0.0478, 0.0639, 0.0592], [-0.0461, -0.030500000000000003, -0.0495, -0.0478]], "bitstrings": ["01110111", "10100000"], "total_optimization_steps": 10, "probabilities": [0.010542171434269148, 0.010814615544953108], "optimization_time": 6.14... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0002406203259945633) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0002406203259945633) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.002239755713033603) q[7];
cx q[1], q[7];
cx q[0], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.25,
-0.25,
-1.5,
0.75,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
-0.5,
-1.75,
-0.5,
0.25,
-0.25,
-2.5,
-1.5,
1.25,
4,
-1.75,
0.5
] | 0.77774 | [
-0.0002406203259945633,
0.002239755713033603,
-1.5620315308743886,
0.00020706909952766735,
0.029331636032040385,
0.0007288211898819608,
0.11520209218064827,
1.5694007098049831,
-1.4370331811755714,
1.56923526210303,
1.5524995235409658,
1.5661269392947803,
-1.7487633370776487
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 357 |
80ea40a1cd4d9bb780bbb97236d9a0bc | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [222, 214], "expectation_value": -8.347126267819709, "params": [-0.002, 0.5261, 0.6962, 0.0063, 0.6900000000000001, 0.0015, -0.0023, 0.4353, 0.4903, 0.2727, 0.46630000000000005, 0.2427, 0.6991, -0.0022, 0.6944, 0.003, 0.0027, -0.5195000000000001, 0.0012000000000000001, 0.5362, 0.6975, 0.0045000000000000005, ... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100101001", "100110001"], "largest_eigenvalue": 26.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08799439082692172) q[0];
rz(-0.04053423072081053) q[0];
rx(1.2006522271996443) q[1];
rz(-0.029852817323747956) q[1];
rx(1.2006522271996443) q[2];
rz(-0.08799439082692172) q[2];
rx(0.18833581716882544) q[3];
rz(-0.4849824546849156) q[3];
rx(-0.18261437563468638) 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": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"... | [
-0.5,
1,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
2,
-1.625,
2,
3.5,
3.5,
-0.5,
1.75,
1.75,
-0.125
] | 0.978674 | [
-0.08799439082692172,
0.32284741774146336,
1.2006522271996443,
-0.029852817323747956,
0.18833581716882544,
-0.4849824546849156,
-0.18261437563468638,
0.4457386079991235,
1.0214807372461534,
0.12397842284346364,
1.0316252057604736,
-0.01557903318317504,
0.97996823976922,
0.23266544356229904... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.375,
"target_ratio": 0.97,
"target_value": -9.09375
} | 10 |
b35b67be6f13e1c7d0fe900b84e9f3d0 | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [89, 91], "expectation_value": -2.4909182082463617, "params": [[[0.33680000000000004, -0.008], [0.1022, 0.0036000000000000003], [0.8936000000000001, -0.0007], [0.301, 0.0345], [0.8885000000000001, 0.1072], [0.8998, 0.10210000000000001], [0.4854, 0.47990000000000005], [0.8351000000000001, 0.8765000000000001],... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(8) @ Z(0)) ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["100110100", "110000110", "110100100"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.1044154877547934) q[0];
ry(-0.14624712835197728) q[1];
rz(-pi) q[1];
h q[2];
ry(1.517125227600992) q[2];
h q[3];
ry(-0.46439454295052995) q[3];
h q[4];
ry(-1.658138407290251) q[4];
h q[5];
ry(1.517125227600992) q[5];
h q[6];
cx q[6], q[3];
ry(0.46439... | OPENQASM 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",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIZZZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IIZZIIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIZZIIIZ",
"IZIIZIIIZ",
"... | [
0.25,
0.25,
0.25,
-0.25,
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,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0... | 0.993886 | [
-1.658138407290251,
-1.3759637991255074,
1.517125227600992,
-0.9287890859010599,
0.5798954614756153,
-0.5155606941877574,
0.49240477016956247,
-0.38839652885064646,
0.12744775508000605,
-0.18718229301267325,
0.18169653005780909,
0.1441821903289413,
0.11969662451446915,
0.2736294279178377,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
24ec85ceb3f94374e977a871ddcf35bc | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 37], "expectation_value": -3.4965156417764884, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 22, "probabilities": [0.06700895329534473, 0.9297461640990027], "optimization_time": 20.61668086051941} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
5129940d52965c3bcc0f8dd9c73f53f5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [15, 7], "expectation_value": -5.321619817057602, "params": [0.5213, 1.1068, -0.43260000000000004, 0.7624000000000001, 0.27290000000000003, 0.5907, 0.6819000000000001, 0.523, 0.48260000000000003, 0.5244, 0.632, 0.9055000000000001, 0.5162, 0.5359, 0.5272, 1.0039, -0.5092, 0.7185, 0.5673, 0.8486, 0.657, 1.1402... | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + -0.5 * Z(0) | 6 | 4 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.2762160908520579) q[0];
rz(2.1717347277170145) q[0];
rx(-0.25251778179951073) q[1];
rz(1.127576670184414) q[1];
rx(-0.7776815244476688) q[2];
rz(2.2659608371426394) q[2];
rx(-0.562711315578499) q[3];
rz(0.5375407579258363) q[3];
cx q[3], q[2];
ry(-0.23906606716144... | OPENQASM 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": []} | [
"IZZI",
"ZZII",
"ZIZI",
"IZII",
"IIZI",
"ZIII",
"IIIZ"
] | [
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97312 | [
-0.2762160908520579,
0.6009384009221174,
-0.25251778179951073,
-0.44321965661048196,
-0.7776815244476689,
0.6951645103477428,
-0.562711315578499,
0.5375407579258363,
0.4781321343228988,
-0.3940284111299176,
-0.29084675499965945,
0.16414195530088685,
0.14075541250665047,
0.44040552857846893... | {
"n_parameters": 79,
"n_qubits": 4,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 116 |
6b7f2ccbb1274b7bda9ba669045efddf | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [2925, 2941], "expectation_value": -3.4920835609949723, "params": [0.0019, 0.0025, 3.1619, 0.009000000000000001, 0.5338, 0.0064, 3.1619, 0.0026000000000000003, 3.1619, 0.006200000000000001, 0.8911, 0.0044, 3.1608, 0.0023, 3.1618, 0.0027, 1.6558000000000002, 0.0056, 3.1620000000000004, 0.002, 3.15860000000000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 16 | 13 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 30, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110000001001", "111... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.008849385025851152) q[0];
rz(-0.20912015442881016) q[0];
rx(3.245589163795363) q[1];
rz(-0.15356694546418154) q[1];
cx q[1], q[0];
rz(0.09993626420360877) q[0];
cx q[1], q[0];
rz(-0.02070176275751695) q[1];
rx(0.1292480802952903) q[2];
rz(-0.4270969498135124) 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIZZZII",
"IIIIIIIZIZZII",
"IIIIIIIZZIZII",
"IIIIIIIZZZIII",
"IIIIIIIZZZZII",
"IIIIIIZIIIZII",
"IIIIIZIIIIZII",
"IIIIZIIIIIZII",
"IIIIIZZIIIIII",
"IIIIZIZIIII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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,
... | 0.971005 | [
0.00884938502585115,
-0.10918389022520132,
3.245589163795363,
-0.15356694546418154,
0.1292480802952903,
-0.3233702787910447,
-0.3627271576358893,
-0.48016335276442457,
0.36272200068911864,
-0.1285049806178559,
3.105485563378257,
0.0530777916257994,
3.3699264187991256,
0.4104974612499147,
... | {
"n_parameters": 32,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 10 |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 1], "expectation_value": -6.193832856874677, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 16, "probabilities": [0.16217477587726464, 0.8147160154427896], "optimization_time": 9.416476964950562} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.403513744402808) q[0];
rz(-pi) q[1];
ry(-0.26244175595439895) q[1];
rz(-pi) q[2];
ry(-0.029488094427819626) q[2];
h q[3];
ry(-1.4713482188317892) q[3];
h q[4];
cx q[4], q[0];
ry(0.403513744402808) q[0];
cx q[4], q[0];
ry(-1.102703959745292) q[0];
ry(1.6020... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-1.5,
-1,
1.75,
-0.75,
-1.25,
-1,
1.5,
-0.25,
0.75,
0.25,
-2.25
] | 0.971362 | [
-1.4713482188317892,
-0.807027488805616,
1.4911052735712893,
-1.102703959745292,
-1.7020375436318982,
-1.833778612837321,
0.221883680341239,
0.20350624481836382,
0.0010810601760510158,
0.1165906038876539
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 14 |
9b6c90aee56ab84919f7c826e678a024 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -7.123170061706766, "params": null, "bitstrings": ["11100", "10110"], "total_optimization_steps": 29, "probabilities": [0.1405844083484402, 0.6434159405450673], "optimization_time": 21.925687074661255} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 9 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
93cec355aa5bb6272cdc555b81a1199e | 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": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"sour... | {"states": [154, 218], "expectation_value": -2.9987048846437188, "params": [[[0.1583, -0.22970000000000002], [0.6002000000000001, 0.003], [0.5994, -0.0005], [0.2185, 0.1018], [0.6015, 0.0023], [0.61, -0.0015], [-0.0058000000000000005, 0.2872], [0.6013000000000001, 0.0018000000000000002], [-0.0018000000000000002, -0.285... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) + -1.0 * Z(3) + -1.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(7) | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010101", "100010101", "100100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.0194803517155666) q[0];
ry(0.1213015762788638) q[0];
rz(-1.32525486109013) q[0];
rz(-3.0187737766915284) q[1];
ry(2.9019462944162626) q[1];
rz(-0.22315706413121372) q[1];
rz(0.47494890704871207) q[2];
ry(2.984381881868571) q[2];
rz(-2.530466594192631) q[2];
rz(1.14... | OPENQASM 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",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"ZIIIIIIII",
"IIIZIIIII",
"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,
-1,
0,
-1,
-1,
0,
0
] | 0.97654 | [
-0.20733747595160953,
-0.1553253659333066,
1.138709288370432,
0.1363138371388179,
0.9597738893281085,
-0.08842959562907068,
0.1143942158434529,
0.20368506281940188,
0.931828940935255,
0.17850527794257262,
1.10757140702775,
0.013514369464153839,
-0.13105803081553785,
0.11952980568743005,
... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [58, 42], "expectation_value": -0.058882602321449436, "params": [0.2001, 0.0046, 0.1965, 0.0044, 0.1917, 0.005200000000000001, 0.1899, 0.0049, 0.2029, -0.0036000000000000003, 0.2044, -0.0038, 0.1887, -0.0036000000000000003, 0.18150000000000002, -0.0032, 0.1961, -0.0006000000000000001, 0.19940000000000002, -0... | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 6 | 6 | 4 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 0.7718750000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZZII",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
-0.003125,
-0.003125,
0.25,
-0.003125,
0.0015625,
-0.003125,
0.0015625,
0.25,
-0.006249999999999978,
-0.006249999999999978,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
2fe717ea46813ceed4568f553b83653e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": ... | {"states": [0, 1280], "expectation_value": -13.33165070044808, "params": [-0.0007, -0.0049, -0.6038, -0.548, -0.079, 0.022500000000000003, 0.1047, -0.0362, -0.0018000000000000002, -0.008, -0.0016, -0.0054, -0.007, -0.0044, 0.0005, -0.008700000000000001, -0.0028, -0.0057, -0.0216, -0.0063, -0.007200000000000001, -0.0028... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(10) @ Z(5)) + -0.25 * (Z(6) @ Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "100000000011", "101011111111", "100000000001"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.10037783299797398) q[0];
rz(pi/2) q[0];
ry(1.1400668059460353) q[1];
ry(0.8753161807609914) q[2];
ry(-0.027661627474493664) q[3];
ry(0.018704252865216008) q[4];
ry(0.0003882551840067519) q[5];
ry(0.0504035228060369) q[6];
ry(-0.11587343283268478) q[7];
ry(0.00321... | 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIZIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIZIIIIZIII",
"IIIZIIIZIIII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIZIIIIZIIII",
"IZIIIIZIIIII",
"IIIIIZIIIZII",
"IIZIIZIIIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"ZIZIIIIII... | [
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-1,
2,
-1,
-0.75,
-1.25,
-0.5,
-1.5,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1,
1.25,
-0.25,
0.75,
1,
-0.5,
0,
0,
-0.5,
0.5,
0.25,
-0.25,
-2.25
] | 0.970335 | [
-0.10037783299797398,
1.1400668059460353,
0.8753161807609914,
-0.027661627474493664,
0.018704252865216008,
0.0003882551840067519,
0.0504035228060369,
-0.11587343283268478,
0.0032174934639011277,
-0.10670020497638405,
0.3273303875223315,
0.014898746866576204,
-1.4673970412668809,
-0.0135953... | {
"n_parameters": 130,
"n_qubits": 12,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 68 |
3257eb74c5059c972aa1cf1f57c7841b | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [9, 41], "expectation_value": -3.532759597760661, "params": [-0.0028, 0.2092, 0.39590000000000003, 0.097, 0.0645, -0.12290000000000001, 0.4051, -0.0017000000000000001, 0.0005, 0.2255, 0.2622, 0.08120000000000001, 0.4067, 0.0016, -0.006500000000000001, 0.21080000000000002, 0.3951, 0.1057, 0.0613, -0.1255, 0.4... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z... | 3 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1010110", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.604794358462062) q[0];
h q[1];
ry(1.4676073177425042) q[1];
h q[2];
ry(-0.5077466166761001) q[2];
h q[3];
ry(1.4266241947204965) q[3];
h q[4];
ry(-1.604794358462062) q[4];
ry(-0.15549175033431428) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[2];
ry(0.50774661667... | OPENQASM 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",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-1.5,
0
] | 0.998653 | [
-1.604794358462062,
-1.4553258713263464,
1.4266241947204965,
1.4676073177425042,
-1.0154932333522002,
0.6855737295491413,
-0.5831377709843016,
0.6175056371217669,
-0.38038496147893763,
0.31761360388928944,
-0.14371098723256165,
0.08004258973152818,
0.123377621009911,
0.17468612591959368,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
-1098029216507613742 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [3, 6], [0, 4], [1, 6], [0, 5]]} | {"states": [81, 104], "expectation_value": -0.059524856560048314, "params": [[0.0745], [-0.0815]], "bitstrings": ["0101110", "0010111"], "total_optimization_steps": 10, "probabilities": [0.008777408999338258, 0.008777408999338258], "optimization_time": 2.6922247409820557} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0101110", "0010111", "1101000", "1010001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.07447625143313834) q[0];
h q[1];
h q[2];
ry(-0.07447625143313834) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.07447625143313834) q[0];
cx q[5], q[0];
ry(-0.17017199182888104) q[0];
cx q[4], q[0];
ry(0.17017199182888104) q[0];
cx q[4], q[0];
ry(-0.926... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[6], q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"ZIIZIII",
"IIZIIIZ",
"ZIIIIZI",
"IZIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.97144 | [
-0.14895250286627668,
1.4874729542632992,
-0.5553247034252545,
1.3651423718081286,
1.6189793454001924,
-0.3403439836577621,
1.0703152671579224,
-0.8446771146598355,
0.3330891402986202,
-0.7553701859716849,
0.03674119825657759,
-1.0075254566809904,
0.17035755857869822,
0.77145910795843,
-... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 52 |
31bcee1b066a63f64c6901bb1e1b69cb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [5, 28], "expectation_value": -3.002348121085071, "params": null, "bitstrings": ["111010", "100011"], "total_optimization_steps": 30, "probabilities": [0.05888063726826326, 0.8445431773055133], "optimization_time": 19.855452299118042} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -1.0 * Z(4) + -0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["100011", "011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"ZIIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
b72451fd8beb69606a84f4be9a392c11 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [125, 1], "expectation_value": -3.4140789710129367, "params": [[0.0618, 0.0613, 0.0351, -0.0732], [-0.052000000000000005, -0.0634, -0.051500000000000004, -0.0028]], "bitstrings": ["10000010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.012384548936704366, 0.013744537489482593], "optimiza... | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "10000010", "11000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 41], "expectation_value": -2.7529330695383964, "params": [0.5997, -0.0031000000000000003, 0.0009000000000000001, 0.3347, 0.5372, 0.19690000000000002, -0.0045000000000000005, 0.3859, 0.0013000000000000002, 0.31010000000000004, 0.6031000000000001, 0.1584, 0.6086, -0.0034000000000000002, 0.0027, 0.3443, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 3 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | OPENQASM 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": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
e1ee122704659894b3696f576081a2cf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -14.667052718683104, "params": [[-0.0296, -0.0235], [0.046, 0.059300000000000005]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004991297829960223, 0.006286258473029394], "optimization_time": 3.6637203693389893} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
rz(-pi) q[1];
ry(-1.518671701368228) q[1];
rz(-pi) q[2];
ry(-1.9184711946259563) q[2];
h q[3];
ry(-1.2690479153113619) q[3];
h q[4];
ry(-23.541155883975833) q[4];
ry(-2.629522226413252) q[5];
rz(-pi) q[5];
h q[6];
ry(-0.10390085226328306) q[6];
rz(-pi) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"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,
14.5,
3,
11,
8,
17,
13,
14.5,
-3,
11
] | 0.97302 | [
-23.541155883975833,
-22.201792305180028,
-10.44860589835898,
27.49141951167771,
-61.96137406619712,
3.080269444625393,
-25.864833907236953,
4.733351032142052,
-3.079267506251181,
-0.039701959139668175,
0.005758186826557363,
5.749940586601983,
-1.5587100755489378,
0.059962355157045386,
0... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 94 |
c745eafdc2adbaeba26c5101fc679bcd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [205, 109], "expectation_value": -15.94743362834613, "params": [[0.0388, 0.011300000000000001], [-0.07930000000000001, -0.08070000000000001]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.013747749427821303, 0.014579998036479396], "optimization_time": 2.43420076... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 12.5 * Z(4) + 9.0 * Z(5) + 7.5 * Z(3) + 2.0 * Z(7) + -1.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 106.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-2.0459616668832803) q[0];
rz(-pi) q[0];
h q[1];
ry(-23.560638129245536) q[1];
rz(-pi) q[2];
ry(-0.12349339332201954) q[2];
rz(-pi) q[3];
ry(-2.3071769558279183) q[3];
ry(-1.0512910433372302) q[4];
rz(-pi) q[4];
cx q[1], q[4];
ry(0.6557876152786795) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIZII",
"IIZZIIII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
14.5,
5,
12,
12.5,
9,
7.5,
2,
-1
] | 0.970756 | [
-23.560638129245536,
37.83539417489853,
-1.311575230557359,
63.361759868114376,
62.423446743543394,
-1.5057784214152352,
15.811604317197334,
-26.812784585281126,
22.560974444989455,
-11.78138868389025,
0.044564208353024284,
0.8612022634707185,
0.6075023366476447,
-2.2910619270190673,
0.3... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -53.5,
"target_ratio": 0.97,
"target_value": -51.894999999999996
} | 198 |
5599209576576838279 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 7, 8], [8, 2, 6, 7], [0, 1, 2, 3, 5, 6, 7]]} | {"states": [493, 485], "expectation_value": -0.47525730017135154, "params": [1.097, 0.0045000000000000005, 1.0906, 0.0019, 1.0931, 0.005, 1.0855000000000001, 0.0053, 1.0932, 0.0019, 1.092, 0.0076, 1.0915000000000001, 0.0047, 1.0874000000000001, 0.0026000000000000003, 1.0907, -0.0112, 0.9207000000000001, 0.0065000000000... | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(1)) + 0.047619047619047616 * (Z(3) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809... | 6 | 9 | 1 | {"smallest_eigenvalues": [-0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809], "number_of_smallest_eigenvalues": 11, "first_excited_energy": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5990053751911786) q[0];
rz(1.5272195001520537) q[0];
rx(1.9434302156905836) q[1];
rz(1.6904274673096893) q[1];
rx(2.0019323064244707) q[2];
rz(1.563335031340661) q[2];
rx(1.2788194016371794) q[3];
rz(1.5950879200008785) q[3];
rx(1.5120633920513402) q[4];
rz(1.65532... | OPENQASM 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",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZZIIIIIII",
"... | [
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.047619047619047616,
0.047619047619047616,
0.13095238095238093,
0.047... | 0.976012 | [
1.5990053751911786,
-0.043576826642842695,
1.9434302156905838,
0.11963114051479325,
2.0019323064244707,
-0.007461295454235295,
1.2788194016371794,
0.024291593205982343,
1.5120633920513404,
0.08452753875540402,
0.7533132958276854,
-0.10213569831762125,
0.7880986059751813,
-0.054440124388465... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -0.6309523809523809,
"target_ratio": 0.97,
"target_value": -0.6120238095238095
} | 104 |
-5777377544430393291 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [6, 7], [3, 7], [1, 2, 4, 5, 6, 8], [0, 1, 2, 5, 6, 8], [0, 1, 4, 5, 8], [1, 2, 3, 6], [0, 1, 4, 7, 8]]} | {"states": [380, 373], "expectation_value": -0.036258330859310614, "params": [[-0.0502], [0.0644]], "bitstrings": ["010000011", "010001010"], "total_optimization_steps": 10, "probabilities": [0.002057436022841746, 0.0020625751240212374], "optimization_time": 5.451435089111328} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.15 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.15 * (Z(1) @ Z(2)) + 0.15 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.05 * (Z(4) @ Z(7)) + 0.03333333333333333 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.549999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4833333333333334, "smallest_bitstrings": ["010001010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(-7.65517855380995e-08) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(-7.65517855380995e-08) q[6];
cx q[7], q[6];
cx q[2], q[6];
rz(-4.211345869125322e-08) q[6];
cx q[2], q[6];
cx q[7], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZII",
"IZZIIIIII",
"IIZIIIZII",
"IZIIIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IZIIIIIZI",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIIZIZI",
"IZIIZIIII",
"IIIIZIZII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZIIZII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.15,
0.5,
0.08333333333333333,
0.08333333333333333,
0.05,
0.15,
0.15,
0.08333333333333333,
0.05,
0.03333333333333333,
0.03333333333333333,
0.13333333333333336,
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.08333333333333334,
0.05,
0.066666666666666... | 0.852165 | [
-7.65517855380995e-8,
-4.211345869125322e-8,
5.478109387503184e-8,
-2.339144810093327e-8,
3.3317508844123035e-8,
-1.4196996978116816e-7,
-8.579461235394944e-9,
1.0404918005661801e-7,
1.3069017240313308e-7,
1.57079639801095,
-1.5707960577490445,
-1.570796330620292,
-1.570796225569732,
7.182... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -2.549999999999999,
"target_ratio": 0.97,
"target_value": -2.4734999999999987
} | 431 |
fb354d60453679d679afcbc2ef259e36 | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 26], "expectation_value": -3.9999003248204605, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 28, "probabilities": [1.7187519565460784e-05, 0.9999500716492428], "optimization_time": 22.350082397460938} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | 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",
"IIZZII",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [59, 63], "expectation_value": -3.499984296406191, "params": null, "bitstrings": ["1000100", "1000000"], "total_optimization_steps": 18, "probabilities": [0.1249982611471617, 0.1249982611471617], "optimization_time": 14.670585870742798} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000000", "1110000", "1110100", "1010100", "1100100", "1110110", "1100000", "1010000", "1000100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7202482055888763) q[0];
h q[1];
h q[2];
h q[3];
ry(0.6763684963105008) q[3];
h q[4];
h q[5];
ry(1.544949320168152) q[5];
h q[6];
ry(0.7842758172411688) q[6];
cx q[5], q[6];
ry(-0.7842758172411688) q[6];
cx q[5], q[6];
cx q[6], q[0];
ry(0.7202482055888763) ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] | 0.997887 | [
1.544949320168152,
1.5685516344823376,
-1.4404964111777525,
1.3527369926210016,
-0.21987719305568587,
0.09712159271413541,
0.06523432631452608,
-0.047813366282852085
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
0c945e13d24e3db70f80084c9fd9fc0e | 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": 5, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [1024, 1023], "expectation_value": -22.076640358577023, "params": [[[0.0287, 0.3478], [-0.001, 0.0097], [-0.0012000000000000001, 0.003], [0.0027, -0.003], [0.0086, 0.0024000000000000002], [-0.0083, 0.0025], [0.0036000000000000003, -0.0027], [0.002, -0.0032], [0.0027, -0.0038], [-0.43760000000000004, -1.1292]... | -1.25 * (Z(0) @ Z(8)) + 1.5 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(8)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(1)) + -2.25 * (Z(7) @ Z(3)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(9) @ Z(8)) + -1.75 * (Z(9) @ Z(4)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.05800350450624613) q[0];
ry(-0.02305215954836166) q[1];
ry(-0.12964194003316437) q[2];
ry(0.06582845108981357) q[3];
ry(0.31237561445939505) q[4];
ry(0.08580952229068387) q[5];
ry(-0.08193161066323362) q[6];
ry(-0.059186288965500586) q[7];
ry(0.06582845108981357) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IIIIIIIIZIZ",
"IIZIIIIIIZI",
"IIIIIIIIZZI",
"IIZIIIIZIII",
"IIIIIIIZIZI",
"IIIZIIIIZII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IZZIIIIIIII",
"IZIIIIZIIII",
"IIIZIZIIIII",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IIIIZIIIIZI",
"IIIZZIIIIII",
"IIIIZZIIIII",
"ZIZIIIIII... | [
-1.25,
1.5,
-0.5,
-0.25,
-1.25,
-1.5,
-1.5,
-1.5,
-2.25,
-1.5,
-1.25,
-1.75,
-0.5,
-1,
-1,
-1.25,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
0.75,
-0.25,
-0.25,
-3.5,
0.5,
3.75,
-0.25,
-2.5,
0.75,
-1,
2
] | 0.971585 | [
0.05800350450624613,
-0.02305215954836166,
-0.12964194003316437,
0.06582845108981357,
0.31237561445939505,
0.08580952229068387,
-0.08193161066323362,
-0.059186288965500586,
-0.3766768405497867,
-0.3668535191496115,
0.5052629304435193,
0.08179046356179157,
0.023734033329846856,
0.0227124764... | {
"n_parameters": 77,
"n_qubits": 11,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 55 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.