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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
100b035d500fd4645fd2b0e271b9dd47 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [31, 5], "expectation_value": -0.27160310154976885, "params": [[0.057300000000000004, -0.0088, -0.0541], [-0.0641, -0.040100000000000004, 0.0238]], "bitstrings": ["100000", "111010"], "total_optimization_steps": 10, "probabilities": [0.018961932613705705, 0.018990576659937874], "optimization_time": 2.9942572... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.036361120549268114) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.036361120549268114) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.036361120549268114) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.036361120549268114) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIZIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
0,
-0.25,
0.25,
-1.5,
0.5,
1
] | 0.970014 | [
-0.036361120549268114,
0.14405844121527378,
-0.13116864722027602,
-0.09016403948180983,
-0.42208946727799673,
1.032345964282921,
-0.27380445100274553,
-0.67408198946556,
-0.7224973711725445,
-0.10950294361258778,
0.4622101983096701,
-0.0277322755715016,
0.07715182970014163,
0.5101723696398... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 90 |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [441, 509], "expectation_value": -8.499302853593848, "params": null, "bitstrings": ["1001000110", "1000000010"], "total_optimization_steps": 98, "probabilities": [0.23031531104549027, 0.7031321229121374], "optimization_time": 266.2826883792877} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7937705898048096) q[0];
h q[1];
ry(0.6192559707330874) q[1];
h q[2];
ry(1.545665404851387) q[2];
h q[3];
ry(0.8722854136704878) q[3];
h q[4];
ry(1.545665404851387) q[4];
cx q[4], q[1];
ry(-0.6192559707330874) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.79377... | null | {"source": 0, "sink": 5} | {"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(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIIIIIZ"... | [
1,
-1,
0.5,
0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
2,
2,
1.5,
-1.5,
2.5,
1.5,
1.5,
0.5,
-1,
-1
] | 0.99397 | [
1.545665404851387,
1.7445708273409757,
1.5815739478927993,
1.2385119414661747,
-1.5875411796096193,
1.0341795361675983,
1.443948565645053,
-1.2687313125160538,
0.7910102675394354,
-0.49367531849502655,
0.5884490707767628,
-0.34137358121040356,
0.3593949234668095,
0.15884005412046098,
0.3... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
102a2f54913f3a558305fe58413657b5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [97, 225], "expectation_value": -4.488093452404801, "params": [0.2999, -0.0008, 0.2987, -0.0008, 0.2973, 0.0032, 0.30670000000000003, 0.00030000000000000003, 0.30870000000000003, 0.0008, 0.303, 0.004200000000000001, 0.0085, -0.1403, 0.006200000000000001, -0.1444, 0.0033, 0.1625, 0.009600000000000001, 0.1719,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(4) + -... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["00011110", "00011101"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.39994444851581656) q[0];
rz(0.07367195983705477) q[0];
rx(0.111207519075669) q[1];
rz(-0.03074283577584902) q[1];
cx q[1], q[0];
rz(0.0409347458686629) q[0];
cx q[1], q[0];
rz(1.6304930807794333) q[0];
ry(1.12649996580527) q[0];
rz(-1.4165871289073857) q[0];
rx(0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"IIIZIZII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"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,
-1.5,
0,
-1,
-1.5,
-2,
-0.5,
-1.5,
0
] | 0.971645 | [
0.39994444851581656,
0.11460670570571785,
0.111207519075669,
-0.03074283577584902,
0.3603577862982051,
0.061068454675171024,
0.14246896634245618,
-0.002175737920254328,
-0.13370209534572378,
0.1988805466493519,
-0.06505463560997918,
0.0210865705994374,
-0.06290441879148101,
-0.062518989778... | {
"n_parameters": 107,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 7 |
1e66658283a5aa7556a964c41aeb84ff | 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": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [230, 127], "expectation_value": -2.1256145188904174, "params": [[0.6089, 0.0031000000000000003, 0.004, 0.4657, 0.7004, 0.0007, -0.0012000000000000001, 0.6014], [0.0029000000000000002, -0.0011, -0.0013000000000000002, 0.0132, 0.0011, 0.0012000000000000001, -0.0028, 0.0022], [0.6573, 0.641, -0.020300000000000... | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 9 | 8 | 4 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.005559243985634868) q[0];
cx q[7], q[0];
rz(-0.05468477954647444) q[0];
rx(1.4808495225559397) q[0];
cx q[7], q[1];
rz(-0.2251769942614919) q[1];
cx q[7], q[1];
cx q[7], q[2];
rz(-0.2251... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIIIZII",
"IIIIIZZI",
"ZIZIIIII",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZIZIIII",
"IIIZZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-1.25,
-1.25,
-1,
-0.5,
-1.5,
-0.5,
-1.75,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
-1.5,
-3.5,
-0.25,
4,
-0.75,
-1.25,
0,
-0.25,
2
] | 0.840546 | [
0.005559243985634868,
-0.2251769942614919,
0.014078273455673817,
-0.13258183894919015,
-0.6507055880512345,
-0.07610002195760088,
-0.05468477954647449,
-0.009310548940203356,
1.0145287463405748,
-0.984669273512638,
-0.31651126330196433,
-1.526871870686111,
1.48084952255594,
-0.006048706674... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
902d1b67930e0629acecd09204caf4e9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [127, 95], "expectation_value": -11.014690891287497, "params": [[[-0.0024000000000000002, 0.0028], [0.0039000000000000003, -0.0026000000000000003], [0.8018000000000001, 0.0025], [-0.0038, -0.0053], [-0.0263, -0.0021000000000000003], [0.0053, -0.0029000000000000002], [0.0039000000000000003, -1.1404], [-3.1399... | -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... | 15 | 8 | 2 | {"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 |
5352a77ee8029c0a1cc2f13dec084536 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"sour... | {"states": [252, 255], "expectation_value": -7.913602536943371, "params": null, "bitstrings": ["00000011", "00000000"], "total_optimization_steps": 99, "probabilities": [0.12275873120194933, 0.4709051717336748], "optimization_time": 115.78971529006958} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000000", "00000011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.26689391520476863) q[0];
rz(1.8815634171615123) q[0];
rx(0.005065105466946079) q[1];
rz(1.2054426963734217) q[1];
rx(0.07691469426052921) q[2];
rz(2.302801022221014) q[2];
rx(-0.042495521522279374) q[3];
rz(1.1610870004133922) q[3];
rx(-0.030371797638472753) q[4];
... | null | {"node": 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];\ncry(1.5706) q[6], 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];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.97488 | [
0.2668939152047687,
0.3107670903666161,
0.005065105466946079,
-0.3653536304214746,
0.07691469426052921,
0.7320046954261172,
-0.04249552152227937,
-0.4097093263815043,
-0.030371797638472753,
0.23229577934773035,
0.0747166405240893,
0.8857088456591191,
0.04521062899081855,
0.6358595752718514... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 122 |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 54], "expectation_value": -2.0947827371901067, "params": null, "bitstrings": ["0101001", "1001001"], "total_optimization_steps": 51, "probabilities": [0.0730116655002035, 0.746544414918347], "optimization_time": 89.46414732933044} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[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(-1.1871) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZZI",
"ZIIIZZI",
"ZZIIIZI",
"ZZIIZII",
"ZZIIZZI",
"IZIZIII",
"ZIZ... | [
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,
0.5,
0.5,
-0.125,
-0.125,
0.25,
-0.125,
-0.125,
-0.125,
-0.125
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
58fa04385078dcdc0b5f9361c481400a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target"... | {"states": [14191, 14190], "expectation_value": -10.547989953439565, "params": [0.005, 0.0011, 2.2349, 0.8968, 1.5919, 1.5546, -0.013900000000000001, -0.013900000000000001, 1.6159000000000001, 1.5194, 1.5794000000000001, 1.5677, 1.5791000000000002, 1.5566, -0.0125, -0.024200000000000003, 1.5967, 1.5855000000000001, 1.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 13 | 15 | 1 | {"smallest_eigenvalues": [-10.999999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.99999999999996, "smallest_bitstrings": ["100100010010001"], "largest_eigenvalue": 33.00000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.2... | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
99e535ad1b9492543e04c8b3d05c67c9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [73, 81], "expectation_value": -5.796724844480597, "params": [[0.3685, 0.3986, -0.0067, 0.4038, 0.4033, -0.0047, -0.0193, 0.4027], [0.3664, 0.39730000000000004, 0.0659, 0.40440000000000004, 0.40540000000000004, 0.0026000000000000003, -0.0126, 0.406], [0.3699, 0.399, -0.0027, 0.4031, 0.40030000000000004, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 10 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["01010111", "01101110", "10110110", "10101110", "01110110"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.10195133397376836) q[0];
ry(0.5526731068058397) q[1];
ry(0.08128658360208083) q[2];
ry(0.3660108974372045) q[3];
ry(0.7054510482860374) q[4];
ry(0.006464996419826216) q[5];
ry(0.4149550582504819) q[6];
ry(0.39651836679132885) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IZIIIZII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-2,
-2,
-1.5,
-1,
-0.5
] | 0.974715 | [
0.10195133397376836,
0.5526731068058397,
0.08128658360208083,
0.3660108974372045,
0.7054510482860374,
0.006464996419826216,
0.4149550582504819,
0.39651836679132885,
0.021709231791896603,
0.668057248020775,
-0.28307068077384734,
0.398337187943431,
0.4440549865992825,
-0.07539166449972604,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
7bc4dde9a09d0b94c5097b219891d81a | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [170, 85], "expectation_value": -0.18694310857397262, "params": [[-0.3778], [0.36860000000000004]], "bitstrings": ["01010101", "10101010"], "total_optimization_steps": 40, "probabilities": [0.007785893381429378, 0.007785893381429385], "optimization_time": 3.030907154083252} | 0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 *... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.0070312500000003, -1.0070312500000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0070312499999998, "smallest_bitstrings": ["10101010", "10100101"], "largest_eigenvalue": 1.0132812499999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.001953125,
-0.001953125,
0.25,
0.00078125,
-0.00078125,
0.00078125,
-0.00078125,
0.25,
0.00078125,
-0.00078125,
-0.0015625,
0.00078125,
-0.00078125,
-0.0015625,
0.25,
-0.0003906249999999778,
-0.0003906249999999778,
-0.003515625000000022,
-0.003515625000000022,
-0.001... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
7118366004389908815 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 8], [1, 3], [8, 1, 6], [2, 4, 7], [3, 6], [2, 4, 6], [0, 5], [8, 7], [5, 7], [8, 2, 6], [8, 2, 3]]} | {"states": [157, 454], "expectation_value": -0.11841008381258755, "params": [[-0.0761], [0.0724]], "bitstrings": ["101100010", "000111001"], "total_optimization_steps": 10, "probabilities": [0.002235909999640175, 0.0022985835976460263], "optimization_time": 2.3882980346679688} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.16666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["000111001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.6906417537178866) q[0];
h q[1];
ry(1.473278976873066) q[1];
h q[2];
ry(1.5054051818670062) q[2];
h q[3];
ry(-0.6889451076208277) q[3];
cx q[1], q[3];
ry(0.6889451076208277) q[3];
cx q[1], q[3];
ry(-0.003685584293233686) q[3];
ry(0.017676626746125405) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[8];
rz(x1) q[8... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIIIIZIZI",
"ZIIIIZIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIZIII",
"ZIIIIIZII",
"IIIIIZZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIIZIZII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0... | 0.97368 | [
1.5054051818670062,
1.473278976873066,
-1.3778902152416554,
1.3199825049537701,
-0.7485764422161391,
1.4593859886082803,
-1.5262695673463211,
1.3812835074357732,
-0.8291639028893178,
0.34417302756213164,
-0.917235577585682,
-0.3344233019823202,
0.03535325349225081,
-0.007371168586467372,
... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -4.166666666666666,
"target_ratio": 0.97,
"target_value": -4.041666666666666
} | 13 |
264618c760449b2d0106d8614aba6ccb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [512, 511], "expectation_value": -0.40680578206456847, "params": [[0.0506], [-0.039400000000000004]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0012063764400134435, 0.0012171847039979945], "optimization_time": 3.1828389167785645} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(9)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(9)) + -0.25 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4217663217675817) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.01075700071356004) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-1.0454454542250253) q[4];
cx q[2], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.536... | 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;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIIIZIZII",
"ZIIIIZIIII",
"IIIIIZIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIIIIIZI",
"IIIZIIZIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IZIIZIIIII"... | [
-0.5,
-0.25,
1,
-0.5,
-2,
-0.25,
-0.75,
-1.25,
-1.25,
-0.25,
-0.75,
-1.75,
-1,
-0.25,
-0.5,
-1,
-0.75,
-1,
-0.75,
-0.25,
-1.25,
-0.25,
-0.25,
-1.75,
-0.25,
-0.25,
-1,
1.5,
3,
0.5
] | 0.603906 | [
-0.4217663217675817,
-0.01075700071356004,
0.504699862179686,
-1.0454454542250253,
-0.23190486965583004,
-0.5363704753896484,
-1.035144360241995,
-0.27107569411584725,
0.23741052894227446,
1.397400257279429,
1.4175820337574996,
-0.9754504029521549
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 296 |
607dfe672a9c089714e83d20227118f4 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [73, 104], "expectation_value": -4.996397370675801, "params": null, "bitstrings": ["0110110", "0010111"], "total_optimization_steps": 26, "probabilities": [0.06635256082958879, 0.9303255897208923], "optimization_time": 20.131187677383423} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "0110110", "0110011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.500912732271395) q[0];
ry(1.4031395932287742) q[1];
ry(0.03390556761343118) q[2];
ry(1.2514493420283546) q[3];
ry(0.5079143254870274) q[4];
ry(1.9164698869751478) q[5];
ry(1.3873586783535519) q[6];
ry(1.3764070679267257) q[7];
ry(-0.008194751781041447) q[8];
ry(1.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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",
"IZIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZZIIII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1,
-1.5,
-1,
-0.5
] | 0.977042 | [
0.500912732271395,
1.4031395932287742,
0.03390556761343118,
1.2514493420283546,
0.5079143254870274,
1.9164698869751478,
1.3873586783535519,
1.3764070679267257,
-0.008194751781041447,
1.248539139546448,
-0.03308576838918488,
0.731429635255586,
1.6596360117117979,
0.24110743227389958,
0.10... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 34 |
cf9a1540b011355d554ff1ed574e9153 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [85, 29], "expectation_value": -4.499130260587304, "params": null, "bitstrings": ["0101010", "1100010"], "total_optimization_steps": 32, "probabilities": [0.06552842207412077, 0.9338525446455993], "optimization_time": 24.80898094177246} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100010", "0101010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-0.5,
0,
0
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
4c97295c4d10fd438512879e76a3fa94 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [186, 58], "expectation_value": -2.3792324112868237, "params": [[[0.9942000000000001, 0.007500000000000001, 0.0059, 0.0007], [0.5445, -0.002, 0.9917, 0.0033], [0.6588, -0.09380000000000001, 0.4596, 0.1764], [-0.2384, 0.4323, 0.045700000000000005, -0.6143000000000001], [0.2019, -0.12440000000000001, -0.023200... | 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)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -0.25 * Z(... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111001", "00111010", "01110010", "11000101", "01011001", "01010011", "01010101", "10001101", "10011001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06705697307695388) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06705697307695388) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06705697307695388) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06705697307695388) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"IIZIZIII",
"ZZIIIIII",
"ZIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.970508 | [
-0.06705697307695388,
-1.0858221740381448,
0.7683541393482292,
-1.037866449491875,
-1.2864236331379229,
0.12089631300890967,
-1.2281342709076082,
-0.5959445715535199,
0.058898953373016205,
0.39104211057759153,
0.11572163969478497,
-0.6202676151810331,
0.42998577073893834,
-0.60274796727804... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 81 |
ec471b6985489d774242f85569adf59b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [7, 31], "expectation_value": -4.696884377382494, "params": null, "bitstrings": ["1111000", "1100000"], "total_optimization_steps": 50, "probabilities": [0.2078127726415533, 0.6174813467105884], "optimization_time": 43.888070583343506} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1100000", "1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.22626317840587773) q[0];
ry(-0.5184008335123981) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.1401633959010897) q[3];
cx q[2], q[3];
ry(-1.1401633959010897) q[3];
cx q[2], q[3];
ry(1.0093741371010103) q[2];
cx q[3], q[2];
ry(-1.0093741371010103) q[2];
cx q[3],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.57) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\... | [
"IIIZIIZ",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-1.25,
0.75,
-0.75,
0.5,
-0.25,
0,
-0.75,
-0.5,
1,
0
] | 0.970102 | [
-0.1900303620413008,
2.2803267918021795,
1.1256654437583153,
2.0187482742020206,
1.6434168369096631,
1.8426328371418002,
-0.45252635681175546,
0.08217158641126696,
-0.8455112738086743,
-0.4137684389476487,
0.288434515948629,
-1.303737398731056,
-0.011656880147209253,
0.1711251505104498,
... | {
"n_parameters": 32,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 99 |
c745eafdc2adbaeba26c5101fc679bcd | 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": [125, 109], "expectation_value": -39.964275957974294, "params": [0.49770000000000003, 0.3009, 0.9018, 0.0173, 0.8928, 0.056900000000000006, 0.4975, 0.2295, 0.8934000000000001, 0.0651, 0.9004000000000001, 0.1073, 0.07640000000000001, 0.6346, 0.9078, 0.0475, 0.49470000000000003, 0.232, 0.8981, -0.0133000000000... | 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) | 18 | 8 | 3 | {"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] 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",
"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 |
eef64d2a5dbf018785bb2eafc31c3245 | 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": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [3, 15], "expectation_value": -0.49129740452591064, "params": [[-0.0534], [0.0574]], "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 10, "probabilities": [0.004904186839074677, 0.005076561651899729], "optimization_time": 1.6266212463378906} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10702764500306078) q[0];
rz(1.8460079357091796) q[0];
rx(-0.09900207468748345) q[1];
rz(1.810072638291011) q[1];
rx(-0.10295100411381941) q[2];
rz(1.8216471371099985) q[2];
rx(-0.08088515754317219) q[3];
rz(1.6163125792682465) q[3];
rx(0.3932787664762013) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.25,
-1,
2.5,
-1.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1.25,
-0.25,
0.5,
1,
-2.25,
-0.5,
2,
0.75
] | 0.980626 | [
-0.10702764500306078,
0.27521160891428315,
-0.09900207468748345,
0.2392763114961134,
-0.10295100411381941,
0.2508508103151006,
-0.08088515754317219,
0.04551625247334859,
0.39327876647620125,
0.06958748977032685,
0.7492571955383739,
-0.2769461864098085,
0.47868772864866804,
-0.1464960204355... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 16 |
e187371d430b945e0e1d69926f02e89f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [7423, 6655], "expectation_value": -36.97200954450136, "params": [[0.0408, -0.0041], [-0.18280000000000002, -0.1482]], "bitstrings": ["110001100000000", "110011000000000"], "total_optimization_steps": 20, "probabilities": [0.0003048385183974171, 0.0003048385183974174], "optimization_time": 19.524487495422363... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 1 | 15 | 2 | {"smallest_eigenvalues": [-59.83333333333255], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.833333333330536, "smallest_bitstrings": ["110011000000000"], "largest_eigenvalue": 153.16666666666666} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.12846654868711385) q[0];
rz(0.14685153751655733) q[0];
rx(0.07075102675611293) q[1];
rz(0.8668088802488729) q[1];
cx q[1], q[0];
rz(0.46804895589914874) q[0];
cx q[1], q[0];
rx(-0.12846654868711388) q[0];
rz(-0.15832510316320736) q[0];
rz(0.05214212492330192) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIZII",
"IIIIIIIIIIIZZII",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIIZII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIIIZIII",
"IIIIIZIIIIIIZII",
"IIIIIZIZIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIIZZIIIIIIII",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZ",
"... | [
-0.5,
1,
-1,
-1,
2,
-2,
-0.5,
1,
-1,
2,
-0.5,
1,
-1,
0.5,
-0.5,
1,
-1,
0.6666666666666667,
-2,
-1,
0.5,
1,
0.5,
1,
2,
1,
2,
0.5,
1,
0.5,
0.5,
1,
1,
2,
1,
1,
2,
1,
1.5,
3,
1.5,
1.5,
3,
1.5,
3,
-0.5,
7,
-1,
14,
7,
0.5,... | 0.971406 | [
-0.12846654868711382,
0.6149004934157067,
0.07075102675611293,
0.8668088802488729,
1.0620761926639546,
0.07475898552088385,
-1.166640594281076,
0.11603444742160975,
0.15658895274400933,
1.022334621228668,
0.815482292845408,
1.629876098291157,
-0.030601744312807353,
1.0103907102293828,
0.... | {
"n_parameters": 74,
"n_qubits": 15,
"optimal_eigenvalue": -59.83333333333215,
"target_ratio": 0.97,
"target_value": -58.03833333333218
} | 6 |
605742faa50c2e92c07356e058fd303f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [253, 245], "expectation_value": -1.7531446551682002, "params": [0.1187, -0.3482, 0.7978000000000001, -0.024800000000000003, 0.8037000000000001, -0.07740000000000001, 0.8006000000000001, -0.0102, 0.7962, 0.18180000000000002, 0.46430000000000005, 0.2416, 0.796, 0.2776, 0.12340000000000001, 0.3766, 0.7985, -0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "010100010", "100010001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | 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",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIZI",
"IIZIZIIZI",
"IIZZIIIZI",
"IIZZZIIII",
"IIZZZIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IIIZIIZII",
"ZIIIIIZII",
"IIIZIZIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0.125,
0.125,
-0.... | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
5b8623d1e22a1fa2d9dd5900437dde95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 9}, {"source": 1, "target":... | {"states": [737, 753], "expectation_value": -4.045896999045898, "params": [[[1.6132, 0.0099], [0.5344, 0.0097], [1.6121, 0.0007], [1.6121, 0.0066], [1.6135000000000002, 0.0046], [1.6073000000000002, 0.008400000000000001], [-0.0108, 0.0053], [-0.0152, 0.0033], [0.0031000000000000003, 0.0005], [1.6085, 0.0084000000000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + -1.5 * Z(6) + -1.0 * Z(0) + -1.5 * Z(7) + -2.0 * Z(8) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0100001110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.0202440386810743) q[0];
rz(0.1438402584638896) q[0];
rx(0.14720468417879792) q[1];
rz(-0.38809838007978764) q[1];
rx(3.1421679700869953) q[2];
rz(-1.0991873828561773) q[2];
rx(3.1421679700869953) q[3];
rz(-0.47351401015305067) q[3];
rx(3.338255337226312) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIZZIIIIII",
"IIZIIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIIZ",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"IIIIZIIIZI",
"IZIIIIIZII",
"IZIIIIZIII",
"IIZIIZIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIIZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-0.5,
-0.5,
0,
0,
0,
0
] | 0.989641 | [
3.0202440386810743,
0.1438402584638896,
0.14720468417879792,
-0.38809838007978764,
3.1421679700869953,
-1.0991873828561773,
-0.47351401015305067,
3.338255337226312,
-0.27489396808096495,
2.972692831335194,
1.506210721004938,
-0.02440148436591119,
-1.3823790326295946,
-0.05341857329219121,
... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 24 |
39c3ffaeb9eb933f7f98f36d6d205bcb | 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": [345, 346], "expectation_value": -59.2876842167984, "params": [[[1.5837, -0.0028], [1.3603, 0.0017000000000000001], [0.6152000000000001, 0.0109], [0.8144, 0.0426], [0.056, 0.1149], [0.34640000000000004, 0.8765000000000001], [0.0059, -0.0716], [-0.0015, 1.447], [-0.1144, 1.0552000000000001], [-0.3663, 0.36610... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 3.5 * Z(2) + 9.5 * Z(3) + 14.5 * Z(5) + 0.5 * Z(4) + 0.0 * Z(6) + -3.0 * Z(7) + 0.5 * Z(9) + 6.5 * Z(8) + -10.5 * Z(0) | 15 | 10 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 109.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7029906018752505) q[0];
ry(1.2484362101975366) q[1];
ry(0.797870371245511) q[2];
ry(0.6437120742727498) q[3];
ry(0.018365883930959885) q[4];
ry(0.5132922560860119) q[5];
ry(0.07059284628528799) q[6];
ry(0.03712934488880377) q[7];
ry(0.06193565848117424) q[8];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"ZIIIZIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
0.5,
3.5,
9.5,
14.5,
0.5,
0,
-3,
0.5,
6.5,
-10.5
] | 0.972494 | [
1.7029906018752505,
1.2484362101975366,
0.797870371245511,
0.6437120742727498,
0.018365883930959885,
0.5132922560860119,
0.07059284628528799,
0.03712934488880377,
0.06193565848117424,
-0.3065616072332258,
-0.013655786775379986,
-0.06438199312421872,
0.07311784311496487,
0.02329444322424474... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 52 |
97a25582d9da2a01a479d6704a1ea86e | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [0, 1007], "expectation_value": -11.033445284980328, "params": [0.11520000000000001, 0.1134, 0.009000000000000001, 1.5288000000000002, -0.23170000000000002, 0.5928, -0.5161, 0.559, 0.8129000000000001, 0.42660000000000003, -0.36250000000000004, 1.153, 0.8155, 1.1012, -0.0623, 1.7621, 0.8112, 1.2194, 0.0073, 0... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["0000010000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.8001657332672415) q[0];
h q[1];
ry(0.8339113904806998) q[1];
h q[2];
ry(0.4715393498940401) q[2];
h q[3];
ry(0.2665764535763486) q[3];
h q[4];
cx q[4], q[3];
ry(-0.2665764535763486) q[3];
cx q[4], q[3];
cx q[3], q[0];
ry(-0.8001657332672415) q[0];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IZIZIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIIZIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-2,
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
] | 0.970309 | [
0.5331529071526973,
1.600331466534483,
1.746019848652486,
1.5523158190483044,
1.5913059170604011,
1.6678227809613997,
0.9430786997880802,
-1.150397691367437,
0.4403470714412182,
0.6565490133659476,
-1.960264392076775,
1.0904811667702412,
-1.2457059423031067,
1.6718008556399764,
0.2986376... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 427 |
3818ce8f8ec333f1e3cdd221545ea640 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [134, 150], "expectation_value": -1.3187768586215531, "params": [[[0.48760000000000003, -0.013600000000000001], [0.2267, -0.0102], [0.28350000000000003, 0.022600000000000002], [0.5011, -0.12860000000000002], [0.21610000000000001, -0.28850000000000003], [0.4646, 0.5009], [0.5053, 0.5032], [0.4872, 0.27]], [[-... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.125, "smallest_bitstrings": ["10100101", "00101101", "10000111", "01101001", "01011010", "01001011", "00011110", "10010110"], "largest_eigenvalue": 6.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIZZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"ZIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.125,
-0.125,
-0.125,
-0.125,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
ced6c703f6fc42ad993c62457521a8a6 | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [3, 1], "expectation_value": -9.749974732289836, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 21, "probabilities": [1.2643738898933471e-05, 0.9999747325766285], "optimization_time": 17.35269045829773} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.019257244790662688) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7877168041877103) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.019257244790662688) q[2];
cx q[0], q[2];
rz(0.4711390611845201) q[2];
rx(1.6286054759878306) q[2];
h q[3];... | 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[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];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
2,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0,
0,
-0.25,
1.75
] | 0.915875 | [
0.019257244790662688,
0.7877168041877103,
0.4711390611845201,
-0.07346987499868925,
0.8629803409167578,
-0.5184398952558648,
1.6286054759878306,
0.06686996022923065,
1.0861776397855343,
0.7850543096022358,
-0.14646282643499497,
-1.831074504387705,
1.075806303014285
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 298 |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [443, 442], "expectation_value": -8.019590675128047, "params": [0.004, 0.2278, 0.0061, 0.2503, 0.5313, 0.0711, 0.5423, 0.0613, 0.5333, 0.0767, 0.5474, 0.0637, 0.049300000000000004, -0.3355, 0.0402, -0.3269, 0.5504, 0.037700000000000004, 0.5561, 0.0308, 0.5477000000000001, 0.111, 0.5388000000000001, 0.113, 0.... | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 5 | 10 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000001", "1000000010", "1001000110", "1001000101"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7937705898048096) q[0];
h q[1];
ry(0.6192559707330874) q[1];
h q[2];
ry(1.545665404851387) q[2];
h q[3];
ry(0.8722854136704878) q[3];
h q[4];
ry(1.545665404851387) q[4];
cx q[4], q[1];
ry(-0.6192559707330874) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.79377... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIIIIIZ"... | [
1,
-1,
0.5,
0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
2,
2,
1.5,
-1.5,
2.5,
1.5,
1.5,
0.5,
-1,
-1
] | 0.99397 | [
1.545665404851387,
1.7445708273409757,
1.5815739478927993,
1.2385119414661747,
-1.5875411796096193,
1.0341795361675983,
1.443948565645053,
-1.2687313125160538,
0.7910102675394354,
-0.49367531849502655,
0.5884490707767628,
-0.34137358121040356,
0.3593949234668095,
0.15884005412046098,
0.3... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
8974e5cad06096779812bbdbc32e906b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [13, 102], "expectation_value": -0.12124313562546941, "params": [[-0.046400000000000004], [0.0591]], "bitstrings": ["1110010", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008462775585400529, 0.008465863743633612], "optimization_time": 1.3994321823120117} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.08523772634387355) q[0];
cx q[6], q[0];
rz(-0.6275000602258523) q[0];
rx(1.5361357999744325) q[0];
cx q[6], q[1];
rz(0.08523772634387355) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.085237726343873... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1.5,
-1,
0,
-0.5
] | 0.907523 | [
0.08523772634387355,
1.5480803404607733,
-0.6275000602258523,
-0.1404789535044987,
-1.4284191873658791,
1.5361357999744325,
0.8409867621609597,
2.115999799714608,
0.06031835036903118,
-0.3545913389992104,
-1.300356731263291,
0.007768805814347773,
-0.21896447238510156,
1.9712159137160128,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [91, 127], "expectation_value": -5.964095293682891, "params": null, "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 98, "probabilities": [0.10187664978062215, 0.7323710416641575], "optimization_time": 173.40456867218018} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4434130568765927) q[0];
h q[1];
ry(0.06002088832999257) q[1];
h q[2];
ry(0.20888663163693805) q[2];
h q[3];
cx q[3], q[1];
ry(-0.06002088832999257) q[1];
cx q[3], q[1];
ry(1.4692332172117415) q[1];
ry(1.40335167153491) q[3];
h q[4];
ry(0.514467726155474) 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(1.5681) 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",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIII... | [
-0.25,
-1,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
0,
1,
-0.25,
-0.5,
0.25,
0
] | 0.970149 | [
1.486113011210929,
0.12004177665998514,
1.40335167153491,
1.4692332172117415,
1.028935452310948,
1.535224711760082,
-0.8868261137531854,
0.4177732632738761,
1.2979805877816588,
0.3664680005410001,
-0.4998226785072861,
0.15189024077444385,
0.4825016790234395,
0.27013092329179234,
0.016721... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 51 |
eef64d2a5dbf018785bb2eafc31c3245 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [7, 15], "expectation_value": -13.37701725312227, "params": [-0.0023, 1.3106, -0.0028, 1.3863, -0.0028, -1.3932, -0.0028, 1.3787, 0.8353, 0.1574, 1.5828, -0.0041, 1.5679, 0.0028, 1.5695000000000001, 0.0027, -0.0023, 0.0063, -0.0028, 0.0067, -0.0028, 0.0032, -0.0028, 0.0078000000000000005, 0.8377, 0.0071, 1.5... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 3 | 8 | 2 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10702764500306078) q[0];
rz(1.8460079357091796) q[0];
rx(-0.09900207468748345) q[1];
rz(1.810072638291011) q[1];
rx(-0.10295100411381941) q[2];
rz(1.8216471371099985) q[2];
rx(-0.08088515754317219) q[3];
rz(1.6163125792682465) q[3];
rx(0.3932787664762013) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.25,
-1,
2.5,
-1.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1.25,
-0.25,
0.5,
1,
-2.25,
-0.5,
2,
0.75
] | 0.980626 | [
-0.10702764500306078,
0.27521160891428315,
-0.09900207468748345,
0.2392763114961134,
-0.10295100411381941,
0.2508508103151006,
-0.08088515754317219,
0.04551625247334859,
0.39327876647620125,
0.06958748977032685,
0.7492571955383739,
-0.2769461864098085,
0.47868772864866804,
-0.1464960204355... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 16 |
087038e9edc1ea672825729ff4eba005 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [24383, 32575], "expectation_value": -6.251088087138361, "params": [0.608, 0.2126, 0.6036, 0.12760000000000002, 0.5992000000000001, 0.0459, 0.6018, 0.0089, 0.6009, 0.004200000000000001, 0.6087, 0.0122, 0.6057, 0.008700000000000001, 0.0025, 0.4122, 0.0017000000000000001, 0.4499, 0.6047, 0.22490000000000002, 0... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 18 | 15 | 3 | {"smallest_eigenvalues": [-20.27272727272695], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["000000011000000"], "largest_eigenvalue": 36.9090909090909} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(2.8614287082955054) q[0];
rz(-0.4707583099811581) q[0];
rx(3.4155641567142934) q[1];
rz(0.7617627833178526) q[1];
rx(3.355608374216573) q[2];
rz(-0.7114090480604071) q[2];
rx(3.1031710721717287) q[3];
rz(-1.6856091863259048) q[3];
rx(3.298981659218298) q[4];
rz(-0.6... | 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": 6} | {"circuits": [], "gradients": []} | [
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIZIIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIIZ",
"IIIIIZIIIIIIIZI",
"IIIIZIIIIIIIIZI",
"IIIIIIIIIIIIIZZ",
"IIIIIZIIIIIIZII",
"IIIIZIIIIIIIZII",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZI",
"... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.9090909090909091,
-0.5,
-0.5,
0.45454545454545453,
0.9090909090909091,
0.5,
0.5,
1,
1,
1,
0.9090909090909091,
0.45454545454545453,
-0.045454545454545456,
4.5,
1,
4.5,
1,
0.8181818181818181,
1.6363636363636362,
... | 0.9787 | [
2.8614287082955054,
0.09322718931803065,
3.4155641567142934,
0.7617627833178526,
3.355608374216573,
-0.7114090480604071,
3.1031710721717287,
-1.6856091863259048,
3.298981659218298,
-0.6650424839892606,
3.2225156967133604,
-0.880104913848808,
2.9895579168603836,
-0.7932929792033736,
0.084... | {
"n_parameters": 36,
"n_qubits": 15,
"optimal_eigenvalue": -20.27272727272695,
"target_ratio": 0.97,
"target_value": -19.66454545454514
} | 33 |
199bc20adfdca6d6b6a06391ec8e4ac2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [26, 28], "expectation_value": -2.0923086382092313, "params": [-0.007, 0.23620000000000002, 0.2958, -0.003, 0.4988, -0.0039000000000000003, 0.5029, 0.0006000000000000001, 0.5091, -0.0036000000000000003, 0.5056, -0.021, 0.29860000000000003, -0.0833, 0.0016, 0.3785, 0.29700000000000004, 0.0007, 0.5013000000000... | 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -0.75 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 4 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100101", "1011010", "1100011", "1110010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4523877721739808) q[0];
cx q[2], q[0];
rz(-0.5386799338415806) q[0];
rx(1.0935187697481359) q[0];
h q[3];
cx q[2], q[3];
rz(-0.4523877721739808) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.4523877721739808) q[1];
cx q[3], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"ZZIIIII",
"IZZIIII",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5
] | 0.677103 | [
-0.4523877721739808,
1.116287236063286,
-0.5386799338415805,
0.23783543840422666,
1.093518769748136,
-1.0373413032551704,
0.8730239505219086,
0.5760838156648229,
0.5260612418381394
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
-3241859606586776718 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 8, 3], [0, 1, 2, 3, 7], [0, 2, 4, 5, 8], [8, 2, 7], [0, 2, 4, 5, 6], [8, 3, 7], [0, 8, 6], [3, 4, 5], [8, 3, 6]]} | {"states": [310, 374], "expectation_value": -0.15435392752571336, "params": [[-0.0843], [0.07980000000000001]], "bitstrings": ["011001001", "010001001"], "total_optimization_steps": 10, "probabilities": [0.0022445262430022105, 0.0022542026682306334], "optimization_time": 5.291428089141846} | 0.5 * (Z(1) @ Z(4)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.1 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.3833333333333333 * (Z(8) @ Z(0)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.6], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.266666666666666, "smallest_bitstrings": ["010001001"], "largest_eigenvalue": 10.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.9014892077200989) q[0];
rz(1.5927794307985295) q[0];
rx(0.27163347490587586) q[1];
rz(1.7799513885683202) q[1];
rx(2.1277041917204227) q[2];
rz(1.405082615085508) q[2];
rx(2.145037434807406) q[3];
rz(1.540106803471633) q[3];
rx(1.8343110556614026) q[4];
rz(1.586922... | 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": []} | [
"IIIIZIIZI",
"IIIZZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIIIIIIIZ",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIIZII",
"... | [
0.5,
0.26666666666666666,
0.05,
0.5,
0.1,
0.05,
0.1,
0.05,
0.05,
0.05,
0.3333333333333333,
0.3833333333333333,
0.16666666666666666,
0.05,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.5,
0.1,
0.05,
0.1,
0.21666666666666667,
0.15000000000000002,
0.2166... | 0.970459 | [
1.9014892077200989,
0.02198310400363337,
0.27163347490587586,
0.2091550617734235,
2.1277041917204227,
-0.16571371170938828,
2.145037434807406,
-0.030689523323263627,
1.8343110556614026,
0.016126325590890618,
0.5399515153595835,
0.03694477209491639,
1.1826779327112542,
-0.02479539574465916,... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.6,
"target_ratio": 0.97,
"target_value": -3.492
} | 166 |
7d24aa80c4b1d40dd561c6b6bccbf7db | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 3, "ta... | {"states": [148, 180], "expectation_value": -2.8891312810472853, "params": [[0.5098, 0.6613, 0.49810000000000004, 0.6727000000000001, 0.0887, 0.6179, 0.0032, -0.0058000000000000005], [0.6940000000000001, 0.35600000000000004, 0.08750000000000001, 0.5859, 0.0889, 0.6176, 0.0024000000000000002, -0.0008], [0.5184, 0.161, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(7) + 0.0 * Z(5) | 10 | 8 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001011", "01110100", "01010110", "01110001", "10001011", "01010011", "10010110", "10010011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-1.1987153640005066) q[0];
ry(0.14240695872555387) q[0];
rz(2.0529066988131115) q[0];
rz(1.6595064324993265) q[1];
ry(2.8481604701391796) q[1];
rz(-1.2886904931873204) q[1];
rz(2.221705228086476) q[2];
ry(0.12435300188119536) q[2];
rz(-0.8405295378570301) q[2];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IIIZZIII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-1,
0,
-0.5,
0
] | 0.9731 | [
-0.07641397221533423,
0.7421845540039637,
1.5542554679933072,
0.026633741908021466,
0.05779252632127724,
1.0693930050686116,
0.01458424784568432,
0.5380130300441588,
1.3784349584216724,
-0.35709016823075057,
1.697661839266965,
-0.16984425759917726,
0.4836756330073117,
0.11002940922382481,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 11 |
6143660857144322503 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5], [1, 3, 5, 6, 7], [0, 2, 4, 7], [0, 4, 5, 6]]} | {"states": [231, 111], "expectation_value": -0.10573777734570239, "params": [0.8, -0.0046, 0.8027000000000001, 0.0082, 0.8014, -0.0046, 0.8065, 0.0045000000000000005, 0.8069000000000001, 0.0034000000000000002, 0.7997000000000001, 0.0056, 0.8072, -0.0037, 0.799, 0.0008, 0.8043, 0.003, 0.7974, 0.0026000000000000003, 0.80... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(5)) + 0.05 * (Z(6) @ Z(1)) + 0.08333333333333333 * (... | 6 | 8 | 1 | {"smallest_eigenvalues": [-0.95, -0.95, -0.95], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9499999999999997, "smallest_bitstrings": ["00110010", "10010000", "01011000"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.791969607282726e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.791969607282726e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.132650665903462e-08) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-1.6927748978526... | 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",
"IIIIZIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIZIII... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.05,
0.05,
0.05,
0.08333333333333333,
0.13333333333333333,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.05,
0.16666666666666666,
... | 0.824561 | [
-4.791969607282726e-8,
3.132650665903462e-8,
-1.6927748978526306e-7,
-6.2147853030387265e-9,
1.5707962061284413,
1.5707963679714925,
2.8401087260267945e-7,
-1.5707962768518102,
-0.17429466100847682,
-1.5707964023439873
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -0.95,
"target_ratio": 0.97,
"target_value": -0.9215
} | 232 |
aba6fa396d14e467ae0d99dd38e3c99d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.3946638967856866, "params": [[-0.032100000000000004, -0.048600000000000004], [0.0176, 0.049800000000000004]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00993086927747249, 0.0101776461531447], "optimization_time": 3.988667488098... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
ee0f00774b6823d75df9b3d1e8947ebf | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [6, 65], "expectation_value": -0.6485353607810104, "params": [[0.0743], [-0.0823]], "bitstrings": ["1111001", "0111110"], "total_optimization_steps": 10, "probabilities": [0.00934907243565704, 0.009349072435657056], "optimization_time": 1.856597661972046} | 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(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1787346229022353) q[0];
rz(1.85169983106438) q[0];
rx(0.6446082778184011) q[1];
rz(1.5337435650242206) q[1];
rx(0.13258855509394268) q[2];
rz(1.742289834858898) q[2];
rx(0.5349338935732003) q[3];
rz(1.4181180172739278) q[3];
rx(0.6230789562836189) q[4];
rz(1.533743... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"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,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-2,
-0.5,
-2
] | 0.972431 | [
0.1787346229022353,
0.28090350426948285,
0.6446082778184011,
-0.037052761770675964,
0.13258855509394268,
0.17149350806400154,
0.5349338935732003,
-0.1526783095209684,
0.6230789562836189,
-0.03478400855838438,
0.05603757244408017,
-0.07156855077521751,
0.19573188402464922,
-0.39890063889249... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
255f1dd604659bd35e94474fe8f5241d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [7, 47], "expectation_value": -8.303319260336295, "params": null, "bitstrings": ["1111000", "1010000"], "total_optimization_steps": 61, "probabilities": [0.11121072416847702, 0.7103220940384556], "optimization_time": 72.27952742576599} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.37039925737107354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.47479670208545194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.002453439771768364) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.002453439771768364) q[4];
c... | 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[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", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.75,
-0.25,
-1,
-1,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-1,
-0.75,
-0.25,
-0.25,
-1.75,
1,
-0.75,
1.5,
0.5
] | 0.901268 | [
-0.37039925737107354,
-0.47479670208545194,
0.002453439771768364,
0.007173938359176996,
0.28639303714208847,
-0.6771793472255276,
-0.758238898919597,
0.5277113036131329,
0.6196216232026848,
-1.587300313731966,
-0.5518085417301448,
-0.6707094486127311,
-0.0018169790026760502,
-0.12952360862... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
da493358a23581be8dd360b1adba9b74 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -16.08682324848002, "params": [0.0031000000000000003, -0.3834, 0.0033, 0.0036000000000000003, 0.0028, -0.56, 0.0028, 0.0089, 0.8014, 0.0671, 0.8044, 0.0014, 0.0026000000000000003, -0.5785, 0.0026000000000000003, 0.001, 0.0029000000000000002, -0.5233, 0.003, 0.0011, 0.003, -0.46... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @ Z(6)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + -0.5 * (Z(8) @ Z(3)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.07082488616632648) q[0];
rz(-0.10834029915440624) q[0];
rx(-0.08188292715279602) q[1];
rz(-0.6883869975141046) q[1];
rx(1.493024152987334) q[2];
rz(0.3046903697159289) q[2];
rx(0.007082448084893598) q[3];
rz(-0.5555930573110643) q[3];
rx(0.06636584163476694) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIZIIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIIIZIIII",
"ZIIIZIIIIII",
"IIIIZIIZIII",
"IIZIIIIIIZI",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZIIIIZIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZIIIIIZIII",
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIIIIIIZZII",
"IIZIIIIIZ... | [
-0.75,
-0.75,
-0.75,
-1,
-0.25,
-0.75,
-1,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-2,
3,
-0.5,
-0.5,
-0.5,
-0.75,
-0.75,
-1,
-0.25,
-1,
-2.75,
-0.25,
1.5,
-0.25,
-1,
-0.75,
0.5,
1.5,
1.25,
-0.5,
0.75
] | 0.977693 | [
0.0708248861663265,
-0.130735090978508,
-0.08188292715279602,
-0.6464913416333335,
1.493024152987334,
0.15028349147731276,
0.007082448084893597,
-0.5097790081118229,
0.06636584163476694,
-0.42568594427155837,
-0.004556407782136687,
-0.3515502503943199,
-0.6398808974555688,
0.09406417448633... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 12 |
3c8bd33161699cb22d1ae18a511877e9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 12, "source": 0, "tar... | {"states": [252, 244], "expectation_value": -9.830766905172528, "params": [[-0.0409], [0.0572]], "bitstrings": ["100000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.00346922530387589, 0.0037977564915578554], "optimization_time": 2.0980422496795654} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 187.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.1515728488958203) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.1515728488958203) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.1515728488958203) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.1515728488958203) q[2];
cx q[3], q[2];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
24,
12,
14.5,
15,
19,
18.5,
0.5,
-1,
12.5
] | 0.971954 | [
0.1515728488958203,
-1.1352170474079428,
0.5746817592287118,
-0.8649704692143048,
-0.7701087377673534,
-1.3915974306549959,
-0.4029895134716305,
0.7478510481473699,
1.170458017734305,
1.0471777458739444,
0.2871058204447927,
-0.20368695777537055,
-0.4285298091014381,
0.8994547323501563,
-... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 49 |
0b4befd1b6021b98538c021e6b01d7d2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {... | {"states": [218, 122], "expectation_value": -27.045841098350095, "params": [[-0.0383, 0.0074, -0.0103, -0.0056], [0.0777, 0.039900000000000005, 0.057800000000000004, 0.0543]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.01922422508434141, 0.02495509453729614], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 6.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.01397968868372599) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.01397968868372599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.01397968868372599) q[2];
cx q[0], q[2];
rz(1.49705474763927) q[2];
rx(-0.4289462383307536) q[2];
h 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
9,
6.5,
13.5,
18,
5.5,
16,
1.5
] | 0.970109 | [
0.01397968868372599,
0.5085249205910766,
-1.5267868634678496,
1.4970547476392697,
1.2949275225586785,
-1.1149933922168591,
0.9054003815470787,
-0.49552292257893105,
-0.4289462383307536,
0.0177838660194501,
1.054237269205935,
0.14538943434979795,
0.4013926854345311,
0.14512282522157288,
-... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 55 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -8.348527468325594, "params": [[[-0.0022, 0.006200000000000001], [3.1446, 0.003], [-1.6695, 0.0027], [-0.0025, 0.0081], [-3.1444, 0.0039000000000000003]]], "bitstrings": ["10110", "10010"], "total_optimization_steps": 370, "probabilities": [0.45071420970145676, 0.549278642249545... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) q[... | 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... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
480f421c6387c3fcdbf1678b1e5bdd17 | 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": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [141, 205], "expectation_value": -3.483596828123412, "params": [0.40640000000000004, -0.001, 0.406, -0.0009000000000000001, 0.3976, 0.0016, 0.39740000000000003, 0.0, 0.0001, 0.2131, 0.001, 0.2194, -0.018500000000000003, 0.21480000000000002, -0.0143, 0.21960000000000002, 0.4051, -0.0018000000000000002, 0.4098... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ 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)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) + -0.5 * Z(5) + 0.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14667915167394932) q[0];
rz(0.02010323753109322) q[0];
rx(0.3789733592367156) q[1];
rz(-0.10703998132714215) q[1];
cx q[1], q[0];
rz(-0.07366788824786893) q[0];
cx q[1], q[0];
rz(1.5543990998452664) q[0];
ry(1.1983511881339493) q[0];
rz(-1.5940553656155225) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-2,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.974047 | [
0.1466791516739493,
-0.0535646507167758,
0.3789733592367156,
-0.10703998132714215,
0.1316982170002294,
0.14135326005599647,
0.21204104261608653,
0.21946519351151042,
0.773725778233472,
-0.13772796296005252,
0.6814646257091219,
-0.029909323765990488,
0.17184979878113577,
0.41082787693602296... | {
"n_parameters": 106,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
71e10f6a07412051601a17c1aaab540b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [124, 127], "expectation_value": -0.5996896015924907, "params": [[0.0816], [-0.0882]], "bitstrings": ["110000011", "110000000"], "total_optimization_steps": 10, "probabilities": [0.002928602448585711, 0.003089564652297563], "optimization_time": 1.24969482421875} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["110000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11539307161681123) q[0];
rz(2.5062727491177625) q[0];
rx(-0.2874388969975214) q[1];
rz(2.308454114164366) q[1];
rx(-0.3895783997304033) q[2];
rz(2.2561470989799624) q[2];
rx(0.7810191516175832) q[3];
rz(0.8349189773722605) q[3];
rx(0.3333061869049751) q[4];
rz(2.13... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(x0) ... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.966399 | [
0.11539307161681124,
0.9354764223228655,
-0.28743889699752134,
0.7376577873694696,
-0.38957839973040326,
0.6853507721850662,
0.7810191516175833,
-0.7358773494226359,
0.3333061869049751,
0.5615073201363684,
1.3622728811037845,
0.10349052483294895,
0.40126583881121597,
-0.14272101481556024,
... | {
"n_parameters": 179,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [6, 9], "expectation_value": -0.03630829797696969, "params": [[-0.0048000000000000004, -0.0548], [-0.0393, 0.0545]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06554691919519648, 0.06554691919519648], "optimization_time": 1.092219591140747} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
fb6267fe9e00f958431b621d7db08da1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [11, 1], "expectation_value": -4.752857727781846, "params": null, "bitstrings": ["1110100", "1111110"], "total_optimization_steps": 20, "probabilities": [0.06683590605431504, 0.9171841330013739], "optimization_time": 13.987538814544678} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8256979864230616) q[0];
ry(-0.06047270206602687) q[1];
rz(-pi) q[1];
ry(-0.014969240940445772) q[2];
rz(-pi) q[2];
h q[3];
rz(-pi) q[4];
ry(-0.03264831394078908) q[4];
h q[5];
ry(0.38986338903582735) q[5];
cx q[3], q[5];
ry(-0.38986338903582735) q[5];
cx q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\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];\nc[6] = measure q[6];\n", ... | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
-0.25,
0.5,
-1,
0,
0.25,
0.25
] | 0.9716 | [
-1.4905875067940901,
1.6866535584938058,
-1.6513959728461232,
0.7797267780716547,
-0.9916435268869962,
-1.0342852189492289,
-1.045626493862757,
-1.5904426894702208,
-0.4859469214319778,
-1.4056839420523877,
-0.3002862876041261,
0.19491589361314454,
-0.12374949131886509,
-0.0260039025309298... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 4 |
9d1382902993d8e771af3489e0021226 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [36, 25], "expectation_value": -0.576546836249503, "params": [[-0.0656, -0.08080000000000001], [0.062200000000000005, 0.0714]], "bitstrings": ["011011", "100110"], "total_optimization_steps": 10, "probabilities": [0.021415157638983037, 0.02314409109007161], "optimization_time": 2.6137592792510986} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1,
-1
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-4030814764989538969 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 5], [1, 6, 7], [3, 4], [2, 4, 6, 7], [0, 1, 4, 5], [0, 1, 3], [1, 3, 6], [4, 5, 7], [0, 1, 2, 4, 6], [2, 3, 7], [0, 2, 4, 5]]} | {"states": [234, 233], "expectation_value": -3.022473771205804, "params": null, "bitstrings": ["00010101", "00010110"], "total_optimization_steps": 38, "probabilities": [0.01111657743935052, 0.9834864537714121], "optimization_time": 62.55043292045593} | 0.13333333333333333 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0333333333333323], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.866666666666667, "smallest_bitstrings": ["00010110"], "largest_eigenvalue": 10.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-9.73649459639827e-05) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.0011738320118083788) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.0002718266042674727) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.0025584976641... | 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(1.5607) 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[... | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIIZIZI",
"IIIZZIII",
"IZIIZIII",
"ZIIIZIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIII... | [
0.13333333333333333,
0.3,
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.13333333333333333,
0.3833333333333333,
0.13333333333333333,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16... | 0.84281 | [
-0.0000973649459639827,
-0.0011738320118083788,
-0.0002718266042674727,
-0.002558497664175906,
-0.0020119269259149075,
-3.142212948354541,
-0.0002292251564038891,
-0.020721074872348616,
-0.9047082708918592,
-7.169139283182068e-7,
-1.5709100111377718,
-1.5721653926808554,
1.5177505187009601,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -3.0333333333333323,
"target_ratio": 0.97,
"target_value": -2.942333333333332
} | 398 |
7d6ca7bcb082771e20acb1517cc99090 | 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": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 17, "source": 2, "targ... | {"states": [374, 118], "expectation_value": -8.199838388738518, "params": [[0.0419], [-0.047400000000000005]], "bitstrings": ["010001001", "110001001"], "total_optimization_steps": 10, "probabilities": [0.003223191699522057, 0.0035313328108734932], "optimization_time": 1.9410052299499512} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 183.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.7199121830629105) q[0];
ry(0.06677871602384747) q[0];
rz(1.3786347799128613) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.42428552918180296) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.42428552918180296) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.42428552918180296... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20.5,
7.5,
13,
14.5,
14,
16,
19,
5,
-6
] | 0.970518 | [
0.42428552918180296,
-1.965833218271943,
1.0493207160015365,
-2.6834936732693384,
-0.31644052236695974,
0.18369882609231244,
-1.5289981623644935,
-1.4831165788801393,
0.9338974206381244,
0.9704922057475008,
0.11490768893024489,
-0.3990331598156071,
0.5720257634427621,
0.5661569682689304,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 93 |
7168859842769069668 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 6], [0, 1], [1, 2], [4, 5]]} | {"states": [82, 92], "expectation_value": -0.02711670113249763, "params": [[-0.046400000000000004], [0.0591]], "bitstrings": ["0101101", "0100011"], "total_optimization_steps": 10, "probabilities": [0.008243370538093337, 0.008243370538093337], "optimization_time": 1.251828670501709} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 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": ["1011100", "0100011", "0101101", "1010010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.09928786290600149) q[0];
h q[1];
h q[2];
ry(-0.09928786290600149) q[2];
cx q[1], q[2];
ry(0.09928786290600149) q[2];
cx q[1], q[2];
ry(1.304800391866999) q[1];
ry(-1.5028099853580754) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.09928786290600149) q[5];
cx q[4], q[... | 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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[2];
... | null | {"circuits": [], "gradients": []} | [
"IZIZIII",
"ZIIIIIZ",
"IIIIIZZ",
"IIIIZZI",
"IZZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971066 | [
-0.19857572581200297,
1.304800391866999,
-1.309543821997238,
1.3209585520651013,
-0.9177583872181594,
0.5098637640642114,
0.4879563668631983,
-0.48470361444558663,
1.1233344406816441,
0.40864755020780025,
-0.6815785010487493,
-0.3354112517252049,
-0.38653232672167487,
0.04709009921671542,
... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 17 |
a81a167158580bb999f8e68ace712ae9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.05940589403867337, "params": [[0.0118, 0.0303, -0.0354], [-0.0098, -0.0317, 0.0066]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008233045106042652, 0.008278290710675207], "optimization_time": 5.3055877685546875} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.0774828677495163) q[0];
h q[1];
ry(1.5548136672768265) q[1];
h q[2];
ry(1.5454980980603812) q[2];
h q[3];
ry(0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.2542960137412164) q[3];
h q[4];
ry(0.38183747534908374)... | 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": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-0.25,
-0.25,
0.5
] | 0.970712 | [
1.5454980980603812,
1.5548136672768265,
1.5805648370330432,
0.7636749506981675,
1.8408249268008032,
0.43803001735649794,
-2.1549657354990326,
1.0310008163067323,
-0.7367755493342508,
-0.9093214752915146,
-0.022856653535134153,
0.2404702180227241,
-1.5901752397015083,
-0.031695334543764365,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 133 |
984069cd50d39f7e5d4b40fb03f5527d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 4}, {"weight": 16, "source": 1, "target": 5}, ... | {"states": [246, 118], "expectation_value": -10.024704580967168, "params": [[-0.0489], [0.0776]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007769722565125193, 0.008662496192213324], "optimization_time": 1.655747413635254} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 14.0 * Z(2) + 16.0 * Z(3) + 4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.013838034989187923) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(-0.013838034989187923) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(-0.013838034989187923) q[4];
cx q[5], q[4];
rz(-1.5521706... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
9,
14,
16,
4.5,
6.5,
10,
7
] | 0.975354 | [
-0.013838034989187923,
-1.5521706068876595,
1.493710746939856,
1.1584724105134467,
-1.7018112302469781
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
43f346f2449aaad74bd3d1617b2cab32 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [5, 13], "expectation_value": -3.258649890617616, "params": [0.0027, 0.0008, -0.0043, -0.0058000000000000005, 0.3181, 0.30560000000000004, 0.3831, 0.3885, -0.0126, -0.0022, 0.3917, 0.3919, 0.0032, 0.0009000000000000001, -0.007500000000000001, -0.0132, 0.2938, 0.2851, 0.3901, 0.39030000000000004, -0.0001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 14 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "101001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
-7846981583810740083 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6, 7], [0, 1, 3, 5, 6, 7], [0, 1, 2, 3, 5, 6]]} | {"states": [94, 218], "expectation_value": -0.006910869827280879, "params": [[-0.0567], [0.061000000000000006]], "bitstrings": ["10100001", "00100101"], "total_optimization_steps": 10, "probabilities": [0.003944181893148421, 0.003944181893148423], "optimization_time": 3.272629499435425} | 0.06666666666666667 * (Z(1) @ Z(2)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.6000000000000001, -0.6000000000000001, -0.6000000000000001, -0.6000000000000001, -0.6000000000000001], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -0.6, "smallest_bitstrings": ["00100101", "10100001", "10011000", "01001100", "11001000"], "largest_eigenvalue": 3.000000000000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6292595462946772) q[0];
ry(-2.701770507212999) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.5624701357349577) q[3];
cx q[3], q[1];
ry(-0.32625187706642256) q[1];
cx q[3], q[1];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.6292595462946772) q[0];
cx q[5], q[0];
ry(-0.41... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIIIZI",
"IIZIZII... | [
0.06666666666666667,
0.06666666666666667,
0.1,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.1,
0.1,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333... | 0.975581 | [
1.5624701357349577,
0.8047223033516799,
0.6525037541328451,
1.2313243483198821,
1.0319614659084728,
-0.2742264243290439,
-0.010170636643240503,
-1.2585190925893543,
-0.8255360707807295,
0.07306652619894928,
0.12312937054121756,
-0.08767767218746964,
0.4481927375071594,
-1.1944116602513355,... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -0.6000000000000001,
"target_ratio": 0.97,
"target_value": -0.5820000000000001
} | 44 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -2.817095763839337, "params": [[0.0625, 0.0742, 0.0777, 0.07150000000000001], [-0.0308, -0.0505, -0.0618, -0.0567]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.029911214163648205, 0.033127248092394736], "optimization_time": 6.3767557... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | 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": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
7658827165147977784 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 4], [9, 2], [6, 7], [0, 1], [0, 5], [5, 6], [1, 7], [8, 4], [0, 9], [11, 7], [9, 7], [1, 5], [0, 11], [0, 3], [4, 5], [2, 12], [9, 12], [10, 12], [2, 6], [0, 12], [2, 11], [10, 4], [10, 5], [1, 4], [8, 9], [10, 11], [8, 7], [0, 6], [12, 5], [10, 2... | {"states": [3786, 3802], "expectation_value": -7.565374737703461, "params": [[[0.0026000000000000003, 0.006500000000000001, 0.0037, 0.0009000000000000001], [1.0176, -0.0024000000000000002, 1.0659, 0.0067], [3.1396, 0.0039000000000000003, 0.0095, 0.005], [0.007, -0.00030000000000000003, 1.5633000000000001, 0.0067], [0.0... | 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000100100101", "0110011011010", "0111011011010", "1001100100101"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-2.1323676145431486e-06) q[0];
rz(-0.08476879225744921) q[0];
ry(0.8712475568461839) q[1];
rz(-0.29141845786087306) q[1];
cz q[1], q[0];
ry(2.037035764693096) q[1];
ry(3.1283226318023165) q[2];
rz(0.7290838953806376) q[2];
ry(-0.27037339043506775) q[3];
rz(-0.098169... | 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": []} | [
"IIIZIIIIZIIII",
"IIIIIIIIZIZII",
"IIIZIIIIIIZII",
"IIIIIIZIZIIII",
"IIIIIIZIIIZII",
"IIIZIZIIIIIII",
"IIIIIZZIIIIII",
"IIIZIIIIIIIIZ",
"IIIIIIIIIIZIZ",
"IIIIIIZIIIIIZ",
"IIIIIIIIZIIZI",
"IIIIIIZIIIIZI",
"IIIIIZIIIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZZIIII",
"IIIIIIZZIIIII",
"IIIIIIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
... | 0.974081 | [
-0.0000021323676145431486,
-0.08476879225744921,
0.8712475568461839,
-0.29141845786087306,
3.1283226318023165,
0.7290838953806376,
-0.27037339043506775,
-0.09816944777473494,
-0.018946610009862884,
0.08003659603295377,
0.9622546249865807,
-0.11470121678097328,
0.1342047407055141,
-0.204017... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 11 |
75d554aeee06fbf8bfe9226005af8f80 | 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": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [177, 179], "expectation_value": -18.63029066176964, "params": null, "bitstrings": ["101001110", "101001100"], "total_optimization_steps": 84, "probabilities": [0.2343257698602638, 0.5943727541305504], "optimization_time": 134.32837867736816} | -0.5 * (Z(0) @ Z(3)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -2.75 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(7) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["100001100", "111101100", "111111100", "101001100"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.006827207457323166) q[0];
rz(-0.23597771216824626) q[0];
rx(-0.09729894997585807) q[1];
rz(-0.01920919706870272) q[1];
rx(-0.14142198156836722) q[2];
rz(-0.5229930792730428) q[2];
rx(-0.043036273190443085) q[3];
rz(-0.2579346393862174) q[3];
rx(0.20157775298869324... | 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(-0.7408) 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] = ... | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIZZIII",
"IIZIZIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
-0.5,
-1.75,
-0.5,
-1.25,
2.5,
-2.75,
-1.75,
-0.5,
-1.5,
-0.5,
-1,
-0.75,
-0.5,
-1.25,
-1.75,
2.75,
-0.25,
-4.5,
-2.75,
0.75,
-0.25,
0,
1.25,
3
] | 0.97937 | [
-0.0068272074573231655,
-0.20920089964796962,
-0.09729894997585808,
0.055575978225318096,
-0.1414219815683672,
-0.5701909759145707,
-0.04303627319044308,
-0.28259240878201897,
0.20157775298869324,
0.1793225612742884,
-0.04302723281296812,
-0.17848066687116995,
0.17253667000206355,
-0.35147... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -21.75,
"target_ratio": 0.97,
"target_value": -21.0975
} | 3 |
eef64d2a5dbf018785bb2eafc31c3245 | 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": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [3, 15], "expectation_value": -1.3957436542824257, "params": [[0.0618, 0.055], [-0.0592, -0.0492]], "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 10, "probabilities": [0.007167264812095526, 0.007890618578927928], "optimization_time": 2.435840368270874} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10702764500306078) q[0];
rz(1.8460079357091796) q[0];
rx(-0.09900207468748345) q[1];
rz(1.810072638291011) q[1];
rx(-0.10295100411381941) q[2];
rz(1.8216471371099985) q[2];
rx(-0.08088515754317219) q[3];
rz(1.6163125792682465) q[3];
rx(0.3932787664762013) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.25,
-1,
2.5,
-1.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1.25,
-0.25,
0.5,
1,
-2.25,
-0.5,
2,
0.75
] | 0.980626 | [
-0.10702764500306078,
0.27521160891428315,
-0.09900207468748345,
0.2392763114961134,
-0.10295100411381941,
0.2508508103151006,
-0.08088515754317219,
0.04551625247334859,
0.39327876647620125,
0.06958748977032685,
0.7492571955383739,
-0.2769461864098085,
0.47868772864866804,
-0.1464960204355... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 16 |
9166bed2e29ff69e5428606133a6b7da | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [511, 509], "expectation_value": -19.652953181513432, "params": [[[0.0025, 2.609], [0.0022, 0.0024000000000000002], [0.0021000000000000003, 0.002], [-0.0019, 0.0018000000000000002], [0.0035, -0.0026000000000000003], [0.0023, 0.0029000000000000002], [0.0018000000000000002, 0.0018000000000000002], [0.222100000... | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000010", "000000111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6559923908838374) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.641858777776417) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.6559923908838374) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.641858777776417) q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
-2.5,
-3,
-2.5,
-3,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
1,
1,
-2.5,
-2.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1
] | 0.56849 | [
-0.6559923908838374,
-0.641858777776417,
-0.45434346324668123,
-0.07817020250922593,
-0.42022323800771944,
-1.0613050886451882,
-1.5964257872079792,
-1.004400238381587
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 216 |
fe37a95fb62cde91e69aee116b6773bd | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [124, 236], "expectation_value": -28.95805958685711, "params": null, "bitstrings": ["110000011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.058440211323662096, 0.1871033169533792], "optimization_time": 175.3531448841095} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036805554208728865) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.036805554208728865) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.036805554208728865) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.036805554208728865) q[3];
cx q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] | 0.980584 | [
-0.036805554208728865,
1.5653143209845872,
-1.520759303138704,
1.6043065486405803,
1.6061779043506268,
-0.9411390712476695,
1.5451499827051354,
1.6462955105064652,
-1.6219264994733438,
-1.3909117298929286,
-1.5458587504655341
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 43 |
79d3baa57f55efbf39bb649ed9c5379a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 16, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -9.536244211967798, "params": [[0.0441], [-0.062200000000000005]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.003717320353266736, 0.0040741170960719945], "optimization_time": 2.11078143119812} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 172.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06019536858721394) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06019536858721394) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06019536858721394) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.06019536858721394) q[2];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16,
8.5,
12.5,
21,
11,
0,
6,
20,
9.5
] | 0.972463 | [
-0.06019536858721394,
1.6523756648212227,
-0.7108216982792479,
0.8814284358268444,
0.9909462680142944,
0.5433054171169999,
-0.8478987691488098,
-0.5280476496996057,
1.5778479215622883,
-0.8229545194401827,
-0.37766698167741486,
0.08371241546081379,
0.4165477723081761,
-0.5491489945232563,
... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 81 |
48bc2fe3cb79b98fee18d505d1ebe59b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [6614, 6871], "expectation_value": -0.3084274267444669, "params": [[-0.0036000000000000003, -0.0017000000000000001, 0.78, 0.9827, 0.0035, 0.5005000000000001, -0.0, -0.546, -0.3814, 0.28040000000000004, 0.0105, 0.0021000000000000003, 0.14700000000000002], [0.0097, 0.7846000000000001, 0.0019, -0.0037, 0.8619, ... | 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(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 9 | 13 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75],... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZZIIZ",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZZZIIIII",
"IIIIIIIIIZIZI",
"IIIIZIIIIIIZI",
"IIIZIIIIIIIZI",
"IIIIZIIIIZIII",
"IIIZIIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.... | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
4743a42b98680c4f321c8f72a752812d | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [190, 447], "expectation_value": -10.673423152046986, "params": [[[-1.5742, 1.5662], [-0.0019, 1.5709000000000002], [1.6155000000000002, 0.003], [0.187, -0.003], [0.0036000000000000003, -0.0029000000000000002], [-0.0018000000000000002, 0.003], [0.012700000000000001, 0.0039000000000000003], [-0.7153, 0.5765],... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 15 | 9 | 1 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) q[3];
cx q[1], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
343e3c6eb2e834e4a6a39fa18646b743 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [1023, 159], "expectation_value": -2.926566524782982, "params": [[-0.0616], [0.06860000000000001]], "bitstrings": ["0000000000", "1101100000"], "total_optimization_steps": 10, "probabilities": [0.001980516222990297, 0.0020450402246242256], "optimization_time": 2.490628719329834} | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + 1.5 * (Z(2) @ Z(6)) + -3.0 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(9)) + -3... | 5 | 10 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["1101100000"], "largest_eigenvalue": 30.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.785321500211398) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6801825759908259) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.11008118943846618) q[1];
cx q[0], q[1];
rz(0.26123365059145653) q[0];
rx(1.022564022879153) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIZIIZI",
"IIIZZIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"IIIZIIIZII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IZIZIIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIZIIIIIII",
"IIZIIIIZII",
"IZZIIIIIII"... | [
-2,
-2.5,
0.5,
1,
-2,
-2.5,
-2.5,
-2.5,
1.5,
-3,
-3,
-3,
1.5,
-3,
-3,
0.5,
0.5,
1,
-2.5,
-2.5,
-2,
1,
1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.574644 | [
0.785321500211398,
0.6801825759908259,
0.11008118943846618,
0.2612336505914568,
0.3886226272243192,
0.5794066173314125,
1.078924969872597,
1.0225640228791533
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 206 |
545bcfb51b62530fdc9be7975a5d5ce0 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [7, 76], "expectation_value": -0.01749062916372672, "params": [[-0.025900000000000003], [0.0165]], "bitstrings": ["1111000", "0110011"], "total_optimization_steps": 10, "probabilities": [0.007886257341448781, 0.007899562362676138], "optimization_time": 1.4405384063720703} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101011", "0110011", "1101001", "1111000", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.09915161758488733) q[0];
rz(0.5998608345753378) q[0];
rx(-0.18145067014966562) q[1];
rz(0.5998810291765536) q[1];
rx(2.985543745430076) q[2];
rz(0.18183328406824287) q[2];
rx(0.1602542015299359) q[3];
rz(-0.3000666034580351) q[3];
rx(2.9993657724506377) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"ZIIIZII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-0.5,
-1,
0,
-0.5
] | 0.972393 | [
-0.09915161758488733,
0.5998608345753378,
-0.18145067014966562,
0.5998810291765536,
2.985543745430076,
0.18183328406824287,
0.1602542015299359,
-0.3000666034580351,
2.9993657724506377,
0.3162526865993821,
3.4061133890586293,
-0.020036260773223513,
0.38438153064552155,
0.056070252525510594
... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 18 |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 28], "expectation_value": -0.5258307101081046, "params": [[-0.0584, -0.032100000000000004, -0.0183, 0.0731], [0.07980000000000001, 0.0608, 0.054200000000000005, -0.0205]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.02062195111911913, 0.021771054250743497], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-1,
0
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
6929307530110604714 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 5, 8, 11], [1, 11, 5], [1, 3, 7], [2, 4, 12], [0, 1, 2, 4, 5], [10, 2], [0, 2, 3, 6, 9], [2, 7], [3, 12, 6], [11, 12, 6], [1, 6, 8, 10, 12], [5, 7, 9, 10, 11], [12, 5], [5, 6], [0, 10], [0, 9, 2, 1], [2, 3, 4, 5, 11], [8, 9, 10], [0, 8, 4, 9], ... | {"states": [7707, 7771], "expectation_value": -5.187501734420028, "params": [1.5745, 1.5707, 1.5721, 1.5744, 1.3536000000000001, 1.3584, 1.7904, 1.3644, 0.7275, 0.7188, 0.09140000000000001, 0.0887, 0.8628, 0.8222, 0.1683, 0.1721, 1.6009, 1.5532000000000001, 1.7296, 1.4119000000000002, 0.054, 0.056600000000000004, 1.538... | 0.23333333333333334 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.05 * (Z(8) @ Z(2)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.05 * (Z(8) @ Z(5)) + 0.1 * (Z(11) @ Z(2)) + 0.05 * (Z(11) @ Z(0)) + 0.31666666666666665 * (Z(11) @ Z(5)) + 0.05 * (Z(11) @ Z(8)) + 0.13333333333333333 * (Z(1) ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.700000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.500000000000003, "smallest_bitstrings": ["0000110100100"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.5416789056883695) q[0];
rz(-0.012826386788119894) q[0];
ry(1.553581901543151) q[1];
ry(1.6074776437262082) q[2];
ry(1.440499043220365) q[3];
ry(0.1815806433455317) q[4];
ry(0.11512359644442499) q[5];
ry(1.3327848881008613) q[6];
ry(0.12083412955361181) q[7];
ry(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIIIIZ",
"IIIIZIIIIIZII",
"IIIIZIIIIIIIZ",
"IIIIZIIZIIIII",
"IZIIIIIIIIZII",
"IZIIIIIIIIIIZ",
"IZIIIIIZIIIII",
"IZIIZIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIZIIIIIIZI",
"IZIIIIIIIIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIZI... | [
0.23333333333333334,
0.15000000000000002,
0.1,
0.05,
0.13333333333333333,
0.05,
0.1,
0.05,
0.31666666666666665,
0.05,
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.16666666666666666,
0.1,
0.1,
0.05,
0.05,
0.21666666666666667,
0.5,
0.0... | 0.976275 | [
1.5416789056883695,
1.553581901543151,
1.6074776437262082,
1.440499043220365,
0.1815806433455317,
0.11512359644442499,
1.3327848881008613,
0.12083412955361181,
1.3403672927773593,
1.7862413521502565,
0.19706314298482291,
1.3191004699945648,
1.5396293155466256,
-0.02565277357623979,
0.200... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -5.700000000000001,
"target_ratio": 0.97,
"target_value": -5.529000000000001
} | 8 |
dc8ac5f82febba9dcace181eb5c76eb3 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [102, 58], "expectation_value": -0.4596913790722306, "params": [[0.0599, 0.062200000000000005, 0.0665, 0.0692], [-0.0509, -0.057800000000000004, -0.0584, -0.0565]], "bitstrings": ["0011001", "1000101"], "total_optimization_steps": 10, "probabilities": [0.015497026006107577, 0.01549702600610758], "optimizatio... | 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)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIZI",
"IZIZIZI",
"IZZIIZI",
"IZZZIII",
"IZZZIZI",
"IIZIZII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.25,
0.125,
-0.25,
-0.125,
-0.125,
-0.125,
-1
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
d95402f534dca4e34937ada56ff64246 | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [0, 1], "expectation_value": -8.632487814256919, "params": [-0.0026000000000000003, 0.2595, 0.0036000000000000003, 0.29660000000000003, 0.0026000000000000003, 0.3143, 0.0016, 0.3125, 0.0051, 0.29860000000000003, 0.006200000000000001, 0.2514, 0.4057, 0.0014, -0.005, 0.2318, 0.002, 0.28700000000000003, 0.0019,... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 3 | 7 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13230586609346) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.13237836260856983) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.13237836260856983) q[4];
cx q[1], q[4];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.364022518576758... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-1,
-1,
-0.25,
-0.5,
-1.25,
-1.25,
-1,
2,
-0.5,
-1,
-0.25,
-1.5,
0.25,
-0.5,
1.5,
1.5
] | 0.731393 | [
0.13230586609346,
-0.13237836260856983,
-0.5124206816957112,
-0.30967895502240017,
-0.3640225185767584,
0.18564147488397173,
-1.2413245026761297,
0.1313259944068888,
0.6382467076975843,
-1.4287512366811355,
0.16684516368563745,
-0.8832857140518996,
-0.5240109649349867,
-0.5404390904836273,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 440 |
-5427202241786784198 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 4], [9, 4, 6], [0, 4], [8, 2], [2, 5], [9, 7]]} | {"states": [481, 417], "expectation_value": -1.8206689943389718, "params": [0.9129, 0.033800000000000004, 0.0753, 0.0025, 1.1078000000000001, -0.3796, 1.0956000000000001, 0.0016, 1.0985, -0.25620000000000004, 1.1019, 0.006, 1.1034000000000002, 0.4264, 0.6353, 0.0034000000000000002, 1.0947, -0.27740000000000004, 1.1007,... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.16... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.333333333333334, "smallest_b... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.41141761282350714) q[0];
rz(1.7980756238369864) q[0];
rx(1.490119041674402) q[1];
rz(1.3829743907305465) q[1];
rx(1.7154614341176635) q[2];
rz(1.5837659075864927) q[2];
rx(0.656116992026212) q[3];
rz(2.05541455593956) q[3];
rx(1.9317019965950872) q[4];
rz(1.511165... | 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": []} | [
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIZIIZI",
"ZIIIIZIIII",
"IIIZIZIIII",
"ZIIZIIIIII",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IIIIZIIZII",
"ZIZIIIIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIZIIII",
"ZIIIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIZIIIIIII"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.33333333333333326,
0.16666666666666663,
0.16666666666666666,
0,
0,
0,
0,
0
] | 0.970683 | [
0.41141761282350714,
0.22727929704208935,
1.490119041674402,
-0.18782193606434988,
1.7154614341176635,
0.012969580791596186,
0.6561169920262121,
0.4846182291446628,
1.9317019965950875,
-0.05963042359369371,
0.3744945220964266,
-0.10442396177278507,
0.03172917877148826,
0.3779599789032365,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -2.666666666666666,
"target_ratio": 0.97,
"target_value": -2.586666666666666
} | 90 |
b93e7e87e2621c92c7ba04b041c49bf3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 122], "expectation_value": -23.230393411516385, "params": [[0.0256, 0.0108, -0.0035], [-0.0551, -0.0684, -0.0678]], "bitstrings": ["10000010", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011724331481875223, 0.015181001760008816], "optimization_time": 6.259137153625488} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 139.5} | 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[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"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,
16.5,
10,
14,
13.5,
12,
7.5,
9.5,
7.5
] | 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 |
277583423526920355 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [1, 2, 3, 4]]} | {"states": [13, 11], "expectation_value": -0.6142917958561276, "params": null, "bitstrings": ["10010", "10100"], "total_optimization_steps": 25, "probabilities": [0.15909846184786472, 0.21137654843938944], "optimization_time": 17.906405687332153} | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.1250000000000001 * Z(4) + 0.0 * Z(0) + 0.125 * Z(1) + 0.125 * Z(2) +... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.7500000000000001, -0.7500000000000001, -0.7500000000000001], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.7499999999999999, "smallest_bitstrings": ["11000", "10100", "10010"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.47874748442912013) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.47874748442912013) q[0];
cx q[4], q[0];
ry(-0.858253045780367) q[0];
ry(1.4427426947575086) q[4];
cx q[3], q[4];
ry(-0.0878194716726202) q[4];
cx q[3], q[4];
cx q[3], q[0];
ry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[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;\nq... | [
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IIZZI",
"ZZIII",
"IZIZI",
"IZZII",
"ZIIII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.1250000000000001,
0,
0.125,
0.125,
0.125
] | 0.970342 | [
-0.9574949688582403,
1.3549232230848882,
-0.7969571346583783,
0.1756389433452404,
0.2186685025709028,
-0.12259182224397769,
-0.08434718888361131,
1.189493287846389,
-0.0930931897217691,
0.39862795003066664,
-1.0318861574566085,
-0.14693394352402372,
-0.16081965907286086,
0.5129163567379322... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -0.7500000000000001,
"target_ratio": 0.97,
"target_value": -0.7275
} | 15 |
18da590fe700e31fa390d98ebb622e6e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [1023, 511], "expectation_value": -0.7422718624198918, "params": [[0.06430000000000001], [-0.051500000000000004]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001336508532774392, 0.001359270509928376], "optimization_time": 3.5819554328918457} | -0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 2.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.11730681278691124) q[0];
ry(0.03464451813421773) q[1];
ry(-0.1278182536417605) q[2];
ry(0.18790720199327332) q[3];
ry(0.21774116380968433) q[4];
ry(0.145106516483046) q[5];
ry(0.3520632481794399) q[6];
ry(-0.03847839484162681) q[7];
ry(-0.4783217543588182) 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] 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IZIIIIIZII",
"IZIIIIIIIZ",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIIIIZZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIIIZIIZII"... | [
-0.75,
-1,
-0.5,
-0.75,
-0.5,
2.75,
-1,
-0.5,
-0.75,
-0.25,
-1,
-1.25,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
0,
-0.5,
-1.5,
1,
1.25,
1.5,
-0.75,
1.75
] | 0.970015 | [
-0.11730681278691124,
0.03464451813421773,
-0.1278182536417605,
0.18790720199327332,
0.21774116380968433,
0.145106516483046,
0.3520632481794399,
-0.03847839484162681,
-0.4783217543588182,
-0.20967393105319948,
-0.25860938687778523,
-0.06575229547788292,
-0.004050491993081665,
-0.0027173357... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 62 |
db3eea64102268372a279e794254c1af | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -11.540513015336549, "params": [-0.0013000000000000002, 0.2165, 0.0007, 0.22210000000000002, -0.0048000000000000004, 0.2333, -0.0026000000000000003, 0.23520000000000002, 0.30510000000000004, -0.0022, 0.3069, -0.0022, -0.0017000000000000001, 0.23600000000000002, -0.0022, 0.23600... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 6 | 11 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.05055068024619258) q[0];
rz(-0.4472291893592786) q[0];
rx(-0.08901258488122829) q[1];
rz(-0.49296425604006977) q[1];
rx(0.840702761740591) q[2];
rz(0.0835824881670102) q[2];
rx(-0.041529254200157885) q[3];
rz(-0.295836977606605) q[3];
rx(-0.13518237470880864) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIIIIIZ",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIZI",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IZIIIZIIIII",
"IZIZIIIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZIIIIIIII... | [
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
1.25,
-0.25,
0.5,
-0.25,
-0.25,
0.5,
-1.25,
1.25,
0,
0.75,
-1,
-1.25,
1
] | 0.972295 | [
-0.05055068024619258,
-0.37416650193852774,
-0.08901258488122826,
-0.5211280570654104,
0.8407027617405909,
0.05213266993236669,
-0.04152925420015789,
-0.3231653960139905,
-0.1351823747088086,
-0.17072400801787013,
-0.23046605133503617,
-0.06485731861483268,
0.01678564314628969,
-0.10478839... | {
"n_parameters": 93,
"n_qubits": 11,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 6 |
6eeafc1802cd635d6723c166bcb76122 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [43, 59], "expectation_value": -3.964702267258178, "params": null, "bitstrings": ["1010100", "1000100"], "total_optimization_steps": 31, "probabilities": [0.21434492943477582, 0.21434666737942695], "optimization_time": 25.305039882659912} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000100", "1000110", "1111100", "1111110", "1010100", "1010110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.09205925177352985) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.5301334911355412) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.09205925177352985) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"IIIIZZI",
"IIIZIZI",
"IZZIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1.25,
-0.25,
0.5,
0,
0.75,
-0.25,
0.5
] | 0.61096 | [
-0.09205925177352985,
0.5301334911355412,
1.806811952172955,
-0.1326422811675516,
-1.3890424453927883,
-0.8579735972691735,
1.1466644722968449,
-1.278835031274433
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 241 |
09fb76abbd16e0a247c5e051a4b2c213 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [511, 507], "expectation_value": -0.3784272394915146, "params": [[-0.040100000000000004], [0.0444]], "bitstrings": ["000000000", "000000100"], "total_optimization_steps": 10, "probabilities": [0.0023988507094278863, 0.0024159639394640375], "optimization_time": 2.389673948287964} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10105690138413462) q[0];
ry(0.057681567167016765) q[1];
ry(0.019346855862882352) q[2];
ry(0.0739592445580661) q[3];
ry(0.03190870371717221) q[4];
ry(0.03190870371717221) q[5];
ry(1.8415336921861332) q[6];
ry(-0.16931423208668084) q[7];
ry(0.10605870881276519) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1,
-2,
-2,
-2,
-2,
-2,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970085 | [
-0.10105690138413462,
0.057681567167016765,
0.019346855862882352,
0.0739592445580661,
0.03190870371717221,
1.8415336921861332,
-0.16931423208668084,
0.10605870881276519,
3.01745888026248,
-0.04646426762316009,
0.022778981966732927,
0.022951155271462777,
0.4615522964410554,
0.38846723752847... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 20 |
af458648554de42d1265969eb5319ca5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -16.61918788667692, "params": [-0.0055000000000000005, 0.0027, -0.0048000000000000004, -0.0037, -0.0066, 0.0014, 0.3013, 0.3037, 0.0027, -0.005, 0.0013000000000000002, -0.0021000000000000003, 0.034300000000000004, 0.0703, -0.0023, -0.0063, -0.0076, 0.0007, -0.002900000000000000... | -0.5 * (Z(0) @ Z(7)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(7)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(10)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(... | 14 | 12 | 3 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -16.0, "smallest_bitstrings": ["100000000000", "100000000001", "111011011111", "111011111111"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.12646585826262585) q[0];
rz(1.607298349950355) q[0];
rx(0.051893814569110124) q[1];
rz(1.7879217323524834) q[1];
rx(-0.03474497053343287) q[2];
rz(1.9952849882877892) q[2];
rx(0.702366796257683) q[3];
rz(1.6862146353318952) q[3];
rx(-0.18664447124002262) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIZIIIZIII",
"IIIIIIIIZIIZ",
"IZIIIIIIIIZI",
"IIIIIIIIZIZI",
"IZIIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIZIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIIZIIZIIII",
"IZIIIIIZIIII",
"IIIIIIIZZIII",
"ZZIIIIIIIIII",
"ZIIIIIZIIIII",
"ZIIIIZIII... | [
-0.5,
-0.75,
-0.25,
1.5,
-1,
-0.25,
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.75,
-1.25,
-1,
-0.75,
-1,
-0.25,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
-0.75,
0.5,
-0.25,
1.25,
0.25,
-0.5,
-1,
0,
0,
-1.75,
1,
0,
0.5
] | 0.97054 | [
-0.12646585826262585,
0.036502023155459445,
0.05189381456911013,
0.2171254055575873,
-0.03474497053343287,
0.4244886614928921,
0.702366796257683,
0.11541830853699901,
-0.18664447124002265,
0.0780044647274929,
0.0866074632997537,
0.20120050685616078,
-0.4414747961401534,
-0.2292978432523631... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 18 |
7711696590830028585 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [1, 2, 3, 5], [0, 2, 3, 4, 7, 8], [0, 1, 3], [0, 1, 2, 7, 8], [8, 1, 5, 7], [8, 1, 3, 6], [0, 5], [0, 1, 4], [2, 6], [5, 6]]} | {"states": [245, 249], "expectation_value": -3.285698024125083, "params": null, "bitstrings": ["100001010", "100000110"], "total_optimization_steps": 64, "probabilities": [0.02389362048428856, 0.8721536640301253], "optimization_time": 164.3722848892212} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.116666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4833333333333334, "smallest_bitstrings": ["100000110"], "largest_eigenvalue": 8.999999999999998} | 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];
cx q[6], q[4];
rz(0.015614569142959337) q[4];
cx q[6], q[4];
cx q[6], q[1];
rz(-3.5455692366807305e-08) q[1];
cx q[6], q[1];
cx q[4], q[1];
rz(1.4009569384579513e-08) q[1];
cx q[4], q[1];
cx q[6], q[2];
rz(0.015614... | 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(1.5567) 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] = m... | [
"IIZIZIIII",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZIIIZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIIIZZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.5,
0.03333333333333333,
0.13333333333333333,
0.08333333333333333,
0.03333333333333333,
0.3333333333333333,
0.11666666666666667,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.19999999999999998,
0.3833333333333333,
... | 0.902015 | [
0.015614569142959337,
-3.5455692366807305e-8,
1.4009569384579513e-8,
2.397198119866173e-8,
-3.3845537959087285e-9,
2.0577647344699718e-8,
3.8983469244058653e-8,
6.174530452577343e-9,
9.65376040405988e-9,
2.1089120989954586e-8,
-1.5707962708218024,
1.5707963370418803,
1.570796220051666,
1.5... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -3.5666666666666673,
"target_ratio": 0.97,
"target_value": -3.459666666666667
} | 430 |
ef1b258390ebdcaf766a21bfe0acae0d | 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": [645, 1669], "expectation_value": -84.71373943047318, "params": [[0.4908, 1.1640000000000001, 0.126, 1.5015, -0.0022, -0.0026000000000000003, -0.0027, 0.2781, 1.4938, -0.0179, 0.1733], [1.5093, 1.5018, 1.5021, 1.5001, -0.019200000000000002, -0.0026000000000000003, -0.0027, 0.6784, 1.4968000000000001, 0.668, ... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 17.5 * Z(2) + 22.0 * Z(1) + 15.0 * Z(0) + 15.0 * Z(3) ... | 10 | 11 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.5, "smallest_bitstrings": ["00101111010"], "largest_eigenvalue": 199.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.012338726610556655) q[0];
rz(-0.37170012589606205) q[0];
ry(0.0476872494679831) q[1];
rz(-0.5053137796204226) q[1];
cx q[1], q[0];
ry(0.006635406687059288) q[0];
rz(-1.1633612743989978) q[0];
ry(1.0071800459754114) q[1];
rz(0.025252965295420045) q[1];
ry(1.5765213... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIZIIIIIIZ",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
17.5,
22,
15,
15,
-3,
3,
14.5,
4,
5.5,
-10.5,
-11.5
] | 0.97313 | [
0.012338726610556655,
-0.37170012589606205,
0.0476872494679831,
-0.5053137796204226,
1.5765213721303417,
0.030769370762536982,
0.328659839796632,
0.31633809500665044,
0.5356017159864881,
-0.3852611641978907,
0.9669691743505578,
-0.5558288129003872,
0.5508957254489596,
0.08688187538745129,
... | {
"n_parameters": 79,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 30 |
9ab53f7aa1b34f991ec1ef091b962aaf | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9}, {"source": 4, "target":... | {"states": [127, 511], "expectation_value": -14.587400079288699, "params": null, "bitstrings": ["110000000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.1212878584914731, 0.42749871410447443], "optimization_time": 174.8481261730194} | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(8)) + 0.5 *... | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000", "110000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-1.5707963110076806) q[1];
cx q[0], q[1];
rz(0.6832137086642707) q[0];
rx(-0.9111440687134774) q[0];
rz(0.6832138826884693) q[1];
rx(-0.9111440687134775) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.8732269411565464) q[2];
cx q[4]... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[6], q[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];\nc... | [
"IIIIIIIZZ",
"IIIIZIZII",
"ZIIIZIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZIIZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-1.5,
-2,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2,
0.5,
-2.5,
0.5,
-2.5,
-2,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.563858 | [
-1.5707963110076806,
-0.8732269411565464,
-0.17109252809281125,
-0.616256738806983,
0.6832137086642708,
0.683213882688469,
-0.9111440687134776
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 216 |
c49166fbb17d117bf582125112530f15 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [373, 357], "expectation_value": -96.02983218990843, "params": [0.0022, 0.0016, 0.0027, 0.0006000000000000001, 2.8071, 0.0076, -0.002, 0.0071, 2.8058, 0.003, 2.7965, 0.0004, 1.5661, 0.0031000000000000003, 0.38830000000000003, 0.0007, 2.8029, 0.0081, 0.8149000000000001, 0.0078000000000000005, 2.80760000000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(3) @ Z(10)) + 8.0 * Z(2) + -2.5 * Z(1) + 12.5 * Z(6) + 14.0 * Z(4) + 13.5 * Z(5) + 0.5 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["11010011010"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.1421439455389154) q[0];
rz(-0.22249048539128546) q[0];
rx(-0.09599682935549451) q[1];
rz(0.07440316229853433) q[1];
rx(3.16229249845359) q[2];
rz(-0.13736721835364651) q[2];
rx(-0.06745132338150187) q[3];
rz(-0.2570967523604698) q[3];
rx(3.020197086080394) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IIZIIIIIIIZ",
"IZIIIZIIIII",
"ZZIIIIIIIII",
"ZIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
8,
-2.5,
12.5,
14,
13.5,
0.5,
9.5,
-3.5,
3.5,
8.5,
-5
] | 0.970141 | [
0.14214394553891538,
-0.08825957660414527,
-0.09599682935549451,
0.07440316229853433,
3.16229249845359,
-0.13736721835364651,
-0.06745132338150187,
-0.2570967523604698,
3.020197086080394,
-0.011052492788506202,
3.175981610624647,
-0.16764575666848636,
0.7667187732562177,
0.2975169655938695... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -115.5,
"target_ratio": 0.97,
"target_value": -112.035
} | 13 |
8b86b8c78e12bc4605ea690d344857fc | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [853, 981], "expectation_value": -2.1498655451844897, "params": [0.1897, 0.37970000000000004, 0.6940000000000001, 0.3553, 0.8906000000000001, -0.0241, 0.5616, 0.1524, 0.9002, 0.2097, 0.2913, 0.3739, 0.8938, 0.2607, -0.0086, 0.543, 0.9016000000000001, 0.1501, 0.48860000000000003, 0.2192, 0.8973000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(8)) + 0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(0) @ Z(3) @ Z(8)) ... | 18 | 11 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.437... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11920669744375724) q[0];
ry(1.9252508201424514) q[1];
ry(2.0998903902431776) q[2];
ry(0.56188800462726) q[3];
ry(1.4726899163457718) q[4];
ry(-0.1346655007152434) q[5];
ry(0.996913031915014) q[6];
ry(-0.10275167613215101) q[7];
ry(0.6854602440857133) q[8];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIZZZIII",
"IIIZZIIIIII",
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIZIIIIZI",
"IIZIIIIIIZI",
"IZIIIIIIIZI",
"IIIIZIZIIII",
"IIZIIIZII... | [
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,
-0.0625,
... | 0.97554 | [
-0.11920669744375724,
1.9252508201424514,
2.0998903902431776,
0.56188800462726,
1.4726899163457718,
-0.1346655007152434,
0.996913031915014,
-0.10275167613215101,
0.6854602440857133,
-0.22894010122808994,
0.9491217717230883,
-0.0770458490092001,
0.08523896558135396,
-0.13916357234307355,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 34 |
-443118916872246947 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 6], [0, 1, 2, 3, 4, 7], [0, 1, 4, 5, 7], [0, 1, 3, 5], [1, 3, 5, 6], [3, 6, 7], [0, 1, 2, 6], [1, 2, 3, 4, 5], [2, 3, 6]]} | {"states": [158, 175], "expectation_value": -1.0071976058704326, "params": [[0.2758], [-0.28]], "bitstrings": ["01100001", "01010000"], "total_optimization_steps": 30, "probabilities": [0.008437475145932407, 0.008612118672724654], "optimization_time": 1.716627597808838} | 0.3 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(4)) + 0.16666666666666669 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(6)) + 0.11666666666666667 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.183333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.447651974996422) q[0];
rz(0.02453663288802499) q[0];
rx(0.3663787485804257) q[1];
rz(0.8390293452366349) q[1];
rx(1.5336458810000695) q[2];
rz(-0.05406767931834899) q[2];
rx(-0.1232460456558259) q[3];
rz(0.8894050351144713) q[3];
rx(1.790922852720464) q[4];
rz(-0.0... | 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": []} | [
"IIIZIIZI",
"IZIZIIII",
"IZIIIIZI",
"IIIZIIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IZIIIZII",
"IIIIIZIZ",
"IIIZZIII",
"IIIIZIZI",
"IZIIZIII",
"IIIIZIIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIZZIIII",
"IIZIIIZ... | [
0.3,
0.16666666666666666,
0.3333333333333333,
0.08333333333333334,
0.25,
0.08333333333333333,
0.08333333333333334,
0.16666666666666669,
0.25,
0.11666666666666667,
0.08333333333333334,
0.25,
0.41666666666666663,
0.11666666666666667,
0.25,
0.08333333333333334,
0.08333333333333334,
0.... | 0.970667 | [
1.4476519749964223,
0.05329119996357722,
0.3663787485804258,
1.1848759868923315,
1.5336458810000695,
0.00726544140140515,
-0.12324604565582589,
0.5361352567513437,
1.7909228527204641,
-0.06441988894943056,
0.8319354729957769,
0.10522760518442995,
2.303545711630567,
-0.22777855099256097,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -2.183333333333334,
"target_ratio": 0.97,
"target_value": -2.117833333333334
} | 76 |
4212948299676875809 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5], [2, 3, 5, 6], [0, 5, 6], [0, 4, 7], [3, 4, 7], [0, 1, 3], [0, 2], [6, 7], [2, 4, 5, 7], [0, 3, 4, 5], [0, 1, 4]]} | {"states": [122, 213], "expectation_value": -1.1001297880761878, "params": [[-0.2444], [0.2501]], "bitstrings": ["10000101", "00101010"], "total_optimization_steps": 30, "probabilities": [0.009799115802661698, 0.009915419028361855], "optimization_time": 4.144927263259888} | 0.3333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.2500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333326, "smallest_bitstrings": ["00101010"], "largest_eigenvalue": 10.0} | 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[1];
rz(-0.2123175354377352) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.2123175354377352) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.11445613936765169) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.101188... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIZZII",
"IZZIIIII",
"IZIIIZII",
"IZIIZIII",
"IIIZIIIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIII... | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.3333333333333333,
0.25,
0.5,
0.25,
0.16... | 0.706813 | [
-0.2123175354377352,
-0.02124598381644151,
0.11445613936765169,
-0.10118816194526911,
-0.38384158177107325,
-1.2971122528396348,
-0.409365080999681,
-1.4159106182961325,
-1.4521641898406332,
0.7239827829098453,
0.0962055825301568,
-0.7782375190242135,
0.9553827404648223
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -3.2500000000000004,
"target_ratio": 0.97,
"target_value": -3.1525000000000003
} | 272 |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [20, 38], "expectation_value": -0.1601853731356243, "params": [[-0.0717, -0.0302], [0.07930000000000001, 0.0584]], "bitstrings": ["101011", "011001"], "total_optimization_steps": 10, "probabilities": [0.017956264759655106, 0.0200476737178496], "optimization_time": 2.4462337493896484} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"IZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.75,
0,
-0.25,
-0.75
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [219, 122], "expectation_value": -43.5964027719992, "params": null, "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.13386896449906283, 0.3013653293628955], "optimization_time": 177.12911343574524} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(-3.4097) 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... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
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,
17,
11,
12,
20,
12.5,
4,
17.5,
5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
28550855a20366800e3fd917bf6489e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [17, 1], "expectation_value": -5.062217743352777, "params": null, "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 27, "probabilities": [0.15063236032211283, 0.6761288203102811], "optimization_time": 26.9061496257782} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "10000000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | 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];\ncry(-1.5486) q[7], 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] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
-4896897172376867754 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [0, 3, 5], [0, 1, 6], [1, 3, 5], [2, 4], [4, 5], [0, 4], [3, 4, 6], [0, 1, 3], [2, 3, 5]]} | {"states": [44, 115], "expectation_value": -0.15232644660397782, "params": [[0.0799], [-0.0845]], "bitstrings": ["1010011", "0001100"], "total_optimization_steps": 10, "probabilities": [0.008776189685230834, 0.00886027782993716], "optimization_time": 0.6929030418395996} | 0.5 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["0001100"], "largest_eigenvalue": 8.5} | 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(0.6198760482948653) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.052820546167097804) q[4];
cx q[3], q[4];
cx q[1], q[4];
cx q[3], q[0];
rz(0.052820546167097804) q[0];
cx q[3], q[0];
rz(0.013327806491372666) 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;
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[4];
rz(x1) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"ZIIIIIZ",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
1,
0.6... | 0.556497 | [
0.6198760482948653,
0.052820546167097804,
0.013327806491372666,
0.6433847856618172,
0.9242173149476315,
-0.8080657394509032
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 152 |
f752144ac1a739bd90fc077fd8614013 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [176, 432], "expectation_value": -6.969572287272944, "params": [[[0.5983, 0.004200000000000001], [0.6028, -0.004], [-0.0109, -0.2746], [0.6002000000000001, -0.004200000000000001], [0.6027, -0.0019], [0.0046, -0.2982], [-0.0008, 0.3296], [0.0046, 0.2831], [0.0023, 0.311]], [[0.6016, 0.004200000000000001], [0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["001001111"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.7447578050843964) q[0];
ry(2.5379814759538823) q[0];
rz(-2.409867847865753) q[0];
rz(1.9156584492937228) q[1];
ry(2.6665412633094543) q[1];
rz(-1.0369006214217231) q[1];
rz(-2.0240690381336743) q[2];
ry(0.16616294080708058) q[2];
rz(1.1982672058676265) q[2];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIIIIIZZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-2,
-1,
-1,
-2.5,
-2,
-0.5
] | 0.973777 | [
0.8157551895256466,
-0.24840384460001763,
1.2253082355798548,
-0.044516093804495685,
-0.08452239048326858,
-0.5664391845582136,
1.205974539882888,
0.02316710138854046,
0.9048288446592229,
0.005880064393395066,
-0.051462897051095136,
-0.32171934004852354,
0.2120322386489839,
0.1575081878512... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 11 |
08f813073a3ca8e36bbb881930ac3ce8 | 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": [500, 468], "expectation_value": -95.7389357275369, "params": [-0.0048000000000000004, 0.4536, 0.6992, -0.0038, 0.6854, 0.1337, 0.6875, 0.1794, 0.35710000000000003, 0.2096, 0.6926, 0.1106, 0.2775, 0.28150000000000003, 0.6981, 0.1384, -0.007500000000000001, 0.3783, -0.0025, -0.4288, -0.0029000000000000002, 0.... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(2) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(1)) + -4.0 * Z(0) + 8.5 * Z(1) + 10.0 * Z(4) + 15.5 * Z(3) + 3... | 18 | 10 | 4 | {"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.0, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 180.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1764146353210941) q[0];
rz(0.2889159073174188) q[0];
rx(0.7315957072809134) q[1];
rz(-0.19570592507497792) q[1];
rx(0.8431607366606907) q[2];
rz(-0.09351806575147892) q[2];
rx(0.7829976829294573) q[3];
rz(0.38142757424985435) q[3];
rx(-0.1144560569992233) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-4,
8.5,
10,
15.5,
32,
14,
4.5,
15,
-2.5,
-6
] | 0.971479 | [
0.17641463532109408,
0.23886751318716382,
0.7315957072809134,
-0.19570592507497792,
0.8431607366606907,
-0.09351806575147892,
0.7829976829294573,
0.38142757424985435,
-0.1144560569992233,
0.4201649965986022,
0.783119791305143,
0.15311097277024016,
0.21420707545897427,
0.48397652356788684,
... | {
"n_parameters": 115,
"n_qubits": 10,
"optimal_eigenvalue": -113,
"target_ratio": 0.97,
"target_value": -109.61
} | 10 |
a2b703670d19247f6071de624d813f7d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [43, 41], "expectation_value": -0.6792717494602316, "params": [[-0.0553, -0.0614], [0.0649, 0.07100000000000001]], "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 10, "probabilities": [0.010473492713454388, 0.01080168191827913], "optimization_time": 3.8335189819335938} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110101", "1010110", "0110011", "1010101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.13585782355247195) q[0];
rz(0.29864270240676144) q[0];
ry(0.4563168005262513) q[1];
rz(0.38243811920507753) q[1];
cx q[1], q[0];
ry(0.5176341854895177) q[0];
rz(-0.43373726839029036) q[0];
ry(0.7226319683581064) q[1];
rz(0.3157779697635044) q[1];
ry(0.545519599691... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"ZIZIIII",
"IZIIZII",
"ZZIIIII",
"IZZIIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII",
"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,
-2,
-1.5,
-1,
-1,
0
] | 0.970229 | [
0.13585782355247195,
0.29864270240676144,
0.4563168005262513,
0.38243811920507753,
0.545519599691342,
0.19833271922099288,
0.047629893253298736,
-0.6494667888063903,
0.8509917401973556,
0.07690407039138134,
0.3022796071558218,
0.36948672697092555,
-0.07852957412380208,
0.27113912634784293,... | {
"n_parameters": 118,
"n_qubits": 11,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 91 |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -9.249999999968587, "params": null, "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 24, "probabilities": [0.4999999999968046, 0.4999999999968046], "optimization_time": 23.278284072875977} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06203454328157315) q[0];
rz(1.7887330621738506) q[0];
rx(0.22753164172954793) q[1];
rz(1.5181402961268304) q[1];
rx(-0.16557256063745113) q[2];
rz(1.758778103001907) q[2];
rx(0.0833675557820221) q[3];
rz(1.780349234902019) q[3];
rx(-0.11709564333793254) q[4];
rz(1.... | 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[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];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.75,
1.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
0,
-0.25,
0.25,
-0.25,
1.5,
-1,
0.5,
-0.75
] | 0.971621 | [
0.06203454328157315,
0.21793673537895467,
0.22753164172954798,
-0.05265603066806612,
-0.16557256063745113,
0.18798177620701023,
0.0833675557820221,
0.20955290810712235,
-0.11709564333793253,
0.3585331632266594,
-0.14002182277844039,
0.5406853858436055,
-0.026565483873495943,
0.331897582781... | {
"n_parameters": 86,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 8 |
4a7c3e6f0585cb0d9d023db1825bd430 | 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": [414, 398], "expectation_value": -67.18462266664231, "params": [0.4273, 0.37720000000000004, 0.8967, 0.0071, 0.9026000000000001, 0.21300000000000002, 0.4086, 0.3674, 0.0038, -0.4418, 0.48710000000000003, 0.24830000000000002, 0.9032, 0.028800000000000003, 0.8944000000000001, -0.0066, 0.9049, 0.247000000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(4) @ Z(8)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(9) @ Z(8)) + 8.5 * Z(1) + 4.5 * Z(0) + 4.0 * Z(3) + 7.0 * Z(2) + 12.5 * Z(7) + 14.0 * Z(6) ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["1001110001"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0072726786369591715) q[0];
rz(0.5815048986713229) q[0];
rx(1.0256977783813503) q[1];
rz(-0.19087216574536672) q[1];
rx(0.9347376322837632) q[2];
rz(0.07252468398574308) q[2];
rx(0.04598366188969305) q[3];
rz(0.3162675427312593) q[3];
rx(0.0010199947457671145) 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, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIZIIZII",
"IIZIZIIIII",
"IIIZZIIIII",
"IZIIIZIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIIIIZIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
8.5,
4.5,
4,
7,
12.5,
14,
9.5,
10,
-3,
3
] | 0.974297 | [
-0.007272678636959171,
0.7412578885700143,
1.0256977783813503,
-0.19087216574536672,
0.9347376322837632,
0.07252468398574308,
0.04598366188969305,
0.3162675427312593,
0.0010199947457671145,
-0.3691141242460634,
0.058558465820114,
0.38399291292307236,
1.1091150945616937,
-0.1186351958366290... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 18 |
2353079fa286d356ce3844ef645b5899 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [5, 1], "expectation_value": -6.7499854908656385, "params": null, "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 22, "probabilities": [1.2625284362786262e-05, 0.999985546168183], "optimization_time": 24.525437355041504} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "10001000", "10000000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
ry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
7861599457986712740 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6, 7], [1, 2, 3, 5, 7], [0, 2, 4, 7], [1, 2, 4, 5, 6, 8], [8, 2, 5, 7], [0, 1, 2, 3, 4, 5], [1, 3, 5, 6, 7, 8], [1, 2, 3, 5, 6, 8], [8, 2, 3, 7], [8, 0, 7], [0, 1, 3, 7], [0, 2, 4, 5, 8], [0, 1, 3, 4, 5, 6], [0, 1, 2, 6, 8]]} | {"states": [486, 462], "expectation_value": -3.124660994646399, "params": null, "bitstrings": ["000011001", "000110001"], "total_optimization_steps": 47, "probabilities": [0.02224408884322847, 0.912535270897831], "optimization_time": 430.434898853302} | 0.2333333333333333 * (Z(4) @ Z(6)) + 0.19999999999999998 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(1) @ Z(6)) + 0.1 * (Z(1) @ Z(4)) + 0.16666666666666669 * (Z(1) @ Z(7)) + 0.11666666666666667 * (Z(2) @ Z(6)) + 0.2 * (Z(2) @ Z(4)) + 0.3 * (Z(2) @ Z(7)) + 0.2 * (Z(2) @ Z(1)) + 0.1 * (Z(3) @ Z(6)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.183333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["000110001"], "largest_eigenvalue": 14.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(1.1842460619700816) q[1];
h q[2];
ry(1.5819685391685183) q[2];
h q[3];
ry(-0.38080871774191055) q[3];
h q[4];
ry(-0.2543022290134656) q[4];
h q[5];
ry(-2.5641954633679958) q[6];
rz(-pi) q[6];
cx q[2], q[6];
ry(-0.33186350167123296) q[6];
cx q[2], q[6]... | 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(1.5685) 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];\nc[6] = m... | [
"IIZIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIZIIIIZI",
"IIIIZIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIIIZZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIZZIIIII",
"IIIZZIIII",
"IZIZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"... | [
0.2333333333333333,
0.19999999999999998,
0.25,
0.18333333333333335,
0.1,
0.16666666666666669,
0.11666666666666667,
0.2,
0.3,
0.2,
0.1,
0.06666666666666667,
0.25,
0.26666666666666666,
0.2,
0.13333333333333333,
0.15,
0.16666666666666666,
0.21666666666666665,
0.2833333333333333,
... | 0.977499 | [
1.594512068072679,
1.5819685391685183,
1.1842460619700816,
-0.6151067656312725,
0.6615356349018664,
-0.5145738981561148,
0.6637270033424659,
-0.5086044580269312,
0.5197330771252814,
-0.4937841601374102,
0.52605139186129,
-0.5496313419733071,
0.8731112732633738,
-0.7616174354838211,
0.393... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -3.183333333333333,
"target_ratio": 0.97,
"target_value": -3.087833333333333
} | 1 |
c0acbd012fdf8058193f775d048e653e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, ... | {"states": [108, 116], "expectation_value": -3.7906258113925295, "params": null, "bitstrings": ["0010011", "0001011"], "total_optimization_steps": 48, "probabilities": [0.0476910282024665, 0.8614511453473082], "optimization_time": 55.9308967590332} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.8704090545392154) q[0];
ry(2.848906190931529) q[0];
rz(-1.4206045684544053) q[0];
rz(-1.4735059078873218) q[1];
ry(2.8752923172762332) q[1];
rz(1.7333044230897094) q[1];
rz(1.275185488758538) q[2];
ry(0.3582851724053169) q[2];
rz(-2.1115115249935728) q[2];
rz(1.622... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-0.5,
0,
0,
-0.5
] | 0.975242 | [
0.7535257276480238,
0.050672717359598066,
1.0582659924978115,
-0.015439424242000541,
0.23713823763746947,
-0.40516121944715133,
0.12741414932752448,
0.5030843814418191,
0.04464051864494524,
1.0245570245569755,
1.0997211195488625,
-0.03754432677860497,
-0.018429576886497965,
-0.418424010707... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
8c3f924f9cf6ec78fc60ffe093bcb548 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [192, 224], "expectation_value": -4.6204130265952825, "params": [0.49970000000000003, 0.0013000000000000002, 0.5013000000000001, 0.0026000000000000003, 0.5103, -0.006, 0.27790000000000004, -0.1433, 0.051800000000000006, -0.2155, 0.1506, -0.17300000000000001, 0.1044, -0.0639, 0.29450000000000004, -0.108400000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(4) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["10011101", "10011011", "00011111", "01011110", "01101110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8557842039999031) q[0];
rz(1.5246498001299926) q[0];
rx(0.7937420490910504) q[1];
rz(1.5307520603344216) q[1];
rx(1.129276710494626) q[2];
rz(1.5862230073835795) q[2];
rx(0.07495354630595989) q[3];
rz(1.2890531966552157) q[3];
rx(-0.030079809846329165) q[4];
rz(1.1... | 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": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIIZI",
"IIIZZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.981304 | [
0.8557842039999032,
-0.04614652666490401,
0.7937420490910503,
-0.040044266460475285,
1.129276710494626,
0.015426680588683073,
0.0749535463059599,
-0.2817431301396812,
-0.03007980984632916,
-0.4118617601379244,
-0.2479888293887646,
-0.08940706819856235,
0.40115327850401955,
-0.1656923392515... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
598a895484db1dd124dda8633fc7a99c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [117, 109], "expectation_value": -15.371611698815776, "params": [[-0.037200000000000004, 0.0732], [0.0669, -0.0548]], "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009301886412875621, 0.009427681019247475], "optimization_time": 3.032294511795044} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 2.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(1) + 18.0 * Z(4) + 12.5 * Z(5) + 4.5 * Z(3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.029682493265214625) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.029682493265214625) q[1];
cx q[0], q[1];
rz(1.5705612127381334) q[0];
rx(1.5769581474958607) q[0];
cx q[2], q[1];
rz(0.029682493265214625) q[1];
cx q[2], q[1];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
2,
10,
18,
18,
12.5,
4.5,
13,
-0.5
] | 0.927327 | [
0.029682493265214625,
1.5705612127381332,
-1.5703481182591699,
-1.5706046945448842,
-1.571207379658283,
-1.570506269198802,
1.5706316520383239,
1.5769581474958605
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 203 |
e05275d14653e116f32640e6b82829a5 | community_detection | 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": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 3, "target... | {"states": [21930, 43605], "expectation_value": -0.11243239971404394, "params": [[-0.17400000000000002], [0.1759]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.373995932491063e-05, 2.373995932491066e-05], "optimization_time": 14.457261085510254} | 0.25 * (Z(0) @ Z(1)) + -0.0010802469135802468 * (Z(2) @ Z(0)) + -0.0010802469135802468 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012345679012345679 * (Z(4) @ Z(0)) + 0.00015432098765432098 * (Z(4) @ Z(2)) + -0.0012345679012345679 * (Z(5) @ Z(1)) + 0.00015432098765432098 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0216049382715497], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216049382715457, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.017592592592568} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4425492888678123) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.4425492888678123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4425492888678123) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.4425492888678123) q[3];
cx q[0], 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[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]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0010802469135802468,
-0.0010802469135802468,
0.25,
-0.0012345679012345679,
0.00015432098765432098,
-0.0012345679012345679,
0.00015432098765432098,
0.25,
0.00030864197530864197,
-0.0010802469135802468,
0.00015432098765432098,
0.00030864197530864197,
-0.0010802469135802468,
0.0001... | 0.971772 | [
-0.4425492888678123,
2.0805051341880763,
-0.8059424329398818,
0.909658234555579,
0.5864643823955256,
0.4520557735563614,
2.1315789794619,
-1.545508813975371,
-1.3406375248769506,
-0.9044464262927957,
0.13583358901083126,
0.48780027186058117,
-0.6613907779366653,
-0.765987281107893,
0.924... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 63 |
-9113593595299461738 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 3], [6, 7], [0, 9], [9, 6], [2, 6], [9, 5], [1, 7], [8, 4], [8, 5], [9, 4], [4, 6], [8, 10], [0, 7], [1, 10], [4, 7], [1, 5], [1, 2], [9, 2], [10, 4], [5, 6], [0, 1], [10, 2], [10, 7], [0, 6], [3, 6], [8, 7]]} | {"states": [523, 779], "expectation_value": -1.132547366056827, "params": [0.5595, 0.5708, 0.9863000000000001, 0.9852000000000001, 0.9016000000000001, 0.8478, 0.5687, 0.5690000000000001, 0.5433, 0.5413, 0.5639000000000001, 0.5614, 0.5237, 0.5596, 0.9483, 0.9524, 0.646, 0.6216, 0.9406, 0.9755, 0.9321, 0.9509000000000001... | 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(10)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z... | 14 | 11 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["01100001011", "10011110100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.42200980538397215) q[0];
rz(pi/2) q[0];
ry(1.3618394972421795) q[1];
ry(0.9749180332767882) q[2];
ry(-0.12318831142009234) q[3];
ry(0.21054847293650752) q[4];
ry(-0.1864967474449036) q[5];
ry(-0.2406008821776204) q[6];
ry(2.7792135782428655) q[7];
ry(-0.099043366... | 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": []} | [
"IZIIIIZIIII",
"IIIZIIZIIII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"ZIIZIIIIIII",
"ZIIIIIIIIIZ",
"IIIZIIIZIII",
"ZIIIIIIZIII",
"IZIIZIIIIII",
"IIIZZIIIIII",
"ZIIIZIIIIII",
"IIZIIIIIIZI",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IZIIIZIIIII",
"IIIZIZIII... | [
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
] | 0.970424 | [
-0.42200980538397215,
1.3618394972421795,
0.9749180332767882,
-0.12318831142009234,
0.21054847293650752,
-0.1864967474449036,
-0.2406008821776204,
2.7792135782428655,
-0.09904336685786769,
1.4106185217157192,
1.4473881521608325,
-0.0326833902881388,
1.0891569233377325,
-0.29116485289711275... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 50 |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.14616028984017782, "params": [[0.0636], [-0.0521]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.016967693390145783, 0.01715121096098047], "optimization_time": 1.771254301071167} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.142596775395089) q[0];
h q[1];
ry(-2.805862209723741) q[2];
rz(-pi) q[2];
h q[3];
ry(1.6727279779329813) q[3];
cx q[3], q[2];
ry(-0.006612696294308967) q[2];
cx q[3], q[2];
h q[4];
ry(0.18808620509776625) q[4];
h q[5];
cx q[5], q[4];
ry(-0.1880862050977662... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIZIZI",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
-0.25,
-0.25,
-1,
-0.25,
-1,
0.5,
-0.75,
2,
-0.25,
0,
-0.5,
-1,
-0.25
] | 0.977265 | [
1.6727279779329813,
0.3761724101955325,
1.2284531866345352,
0.427136098034033,
-2.285193550790178,
-0.23338856410801373,
-0.22032755357472006,
0.013225392588617935,
0.6739447709084712,
0.7214781933643197,
0.33930929519387343,
-2.1923364254591933,
0.19110177979600335,
0.7238842759854223,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 132 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.