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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
03a8941dd9c8b7549060b6323e060e33 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"sour... | {"states": [235, 233], "expectation_value": -4.987943073994022, "params": [[[-0.0024000000000000002, -0.0218, 0.0099, 0.0085], [-0.0024000000000000002, 0.0218, 1.0962, 0.0083], [1.5728, -0.0022, 1.5726, 0.001], [1.5738, -0.0027, 1.5724, 0.0046], [1.5733000000000001, -0.0021000000000000003, -1.5734000000000001, 0.0019],... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -1.0 * Z(0) + -1.5 * Z(6) + -0.5 * Z(8) + -0.5 * Z(7) + 0.0 * Z(1) + -1.5 * Z(4) + 0.0... | 11 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["110010100", "100010110", "100011010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.03754049422048394) q[0];
rz(-0.256930833027315) q[0];
ry(-0.03754049422048394) q[1];
rz(-0.10471484262683131) q[1];
cx q[1], q[0];
ry(0.11307850588598467) q[1];
rz(0.09211325839040468) q[1];
ry(1.6291905848451864) q[2];
rz(-0.00324415011663097) q[2];
ry(1.48486780... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IZZIIIIII",
"IZIIIIIZI",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
0,
-1.5,
0,
0
] | 0.981214 | [
-0.03754049422048394,
-0.256930833027315,
-0.10471484262683131,
1.6291905848451864,
-0.00324415011663097,
1.4848678016755525,
0.21409693331398605,
1.5727938740837253,
-0.07213689592916916,
1.4245671029901459,
1.3349623430952027,
0.175302744510975,
-1.454862918665946,
0.08017393525916189,
... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
-8165785830912568014 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 4], [0, 2, 4, 5, 8], [8, 1, 2, 9], [0, 3, 4, 6, 9], [0, 2, 4, 5, 6, 7, 9], [1, 2, 3, 5, 6, 9], [8, 2, 4, 6], [2, 3, 6, 7, 9], [8, 3, 5, 7], [8, 1, 5], [1, 3, 7, 8, 9], [0, 3, 4, 5, 6]]} | {"states": [755, 243], "expectation_value": -2.6529374123399765, "params": [0.6338, 0.8319000000000001, 0.0268, -0.022500000000000003, 1.8659000000000001, 1.252, 2.0681000000000003, 1.1291, 1.4773, 1.4346, 1.1926, 1.8803, 1.2342, 1.4192, 0.2592, 0.0689, 1.5033, 1.6508, 1.5593000000000001, 1.5815000000000001, 0.081, 0.4... | 0.5 * (Z(1) @ Z(4)) + 0.1738095238095238 * (Z(0) @ Z(4)) + 0.15714285714285714 * (Z(2) @ Z(4)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.07380952380952381 * (Z(2) @ Z(0)) + 0.12380952380952381 * (Z(5) @ Z(4)) + 0.19999999999999998 * (Z(5) @ Z(1)) + 0.12380952380952381 * (Z(5) @ Z(0)) + 0.10714285714285715 * (Z(5) @ Z(2... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.9261904761904765, -2.9261904761904765], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8428571428571434, "smallest_bitstrings": ["0000110001", "1100001100"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.3774311045408969) q[0];
rz(pi/2) q[0];
ry(-0.17355257117289935) q[1];
ry(1.8200041837124659) q[2];
ry(2.121464978113995) q[3];
ry(1.6288665023235958) q[4];
ry(1.273709987034118) q[5];
ry(1.5105382468674078) q[6];
ry(0.3854845821965436) q[7];
ry(1.4363670103527055)... | 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": []} | [
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIZZIIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IZIIIZIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIZIIIII",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII"... | [
0.5,
0.1738095238095238,
0.15714285714285714,
0.11666666666666667,
0.07380952380952381,
0.12380952380952381,
0.19999999999999998,
0.12380952380952381,
0.10714285714285715,
0.13333333333333333,
0.3,
0.05,
0.21666666666666667,
0.3,
0.07380952380952381,
0.16666666666666669,
0.0738095238... | 0.973957 | [
0.3774311045408969,
-0.17355257117289935,
1.8200041837124659,
2.121464978113995,
1.6288665023235958,
1.273709987034118,
1.5105382468674078,
0.3854845821965436,
1.4363670103527055,
1.4927707412172702,
-0.092887816627861,
0.9132578074731784,
-0.4254321690620315,
-0.18825055361124077,
0.640... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -2.9261904761904765,
"target_ratio": 0.97,
"target_value": -2.838404761904762
} | 12 |
9ce3632b8ac1e367ef69c693256c6458 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [173, 165], "expectation_value": -4.940672342967659, "params": [-0.0024000000000000002, 0.004, 0.7525000000000001, 0.7325, 0.7938000000000001, 0.7986000000000001, -0.0019, -0.009600000000000001, 0.8025, 0.8092, 0.0007, 0.0024000000000000002, 0.7668, 0.7397, 0.7862, 0.7939, 0.3297, 0.2998, 0.7998000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -6.0, "smallest_bitstrings": ["1011100101", "1011010110", "1001101101", "1100011110", "1001011110", "1111010010", "0100111101", "1101011010", "0100111110"], "largest_eigenvalue":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.4352492055983146) q[0];
rz(pi/2) q[0];
ry(1.075334523251784) q[1];
ry(1.867699797569592) q[2];
ry(0.3304217305118259) q[3];
ry(1.8869594095506583) q[4];
ry(-0.3335692078911245) q[5];
ry(-0.08124264404889339) q[6];
ry(0.0036166303104309405) q[7];
ry(0.445650206222... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIIZIIIZII",
"IZIIIZIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII"... | [
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,
-2,
-1,
-2,
-1,
-1.5,
-1.5,
0,
-0.5,
-0.5
] | 0.971223 | [
-0.4352492055983146,
1.075334523251784,
1.867699797569592,
0.3304217305118259,
1.8869594095506583,
-0.3335692078911245,
-0.08124264404889339,
0.0036166303104309405,
0.44565020622218077,
0.8603537134447575,
0.10617167167267935,
-0.19190515113475243,
0.6909586623067597,
0.7091202070827569,
... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 35 |
8f9556ded5862d313741f5f580f26f44 | 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": 3}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.10506045030100003, "params": [[-0.1625], [0.1759]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.3083793587174384e-05, 2.3083793587174394e-05], "optimization_time": 16.30993342399597} | 0.25 * (Z(0) @ Z(1)) + 0.00030864197530864197 * (Z(2) @ Z(0)) + 0.00030864197530864197 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00030864197530864197 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00030864197530864197 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022685185185164], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0226851851851193, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.013117283950595} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05473525691041883) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.05473525691041883) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.05473525691041883) q[2];
cx q[0], q[2];
rz(-1.5229900471969247) q[0];
rx(-1.577074433898552) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"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,
0.00030864197530864197,
0.00030864197530864197,
0.25,
0.00030864197530864197,
-0.0010802469135802468,
0.00030864197530864197,
-0.0010802469135802468,
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
-0.0009259259259259261,
-0.0009259259259259261,
-0.0009259259259259261,
-0.000... | 0.974183 | [
0.05473525691041883,
1.6244433499446662,
-1.5229900471969247,
1.4904383169108493,
1.6593180893087505,
1.4886150292409366,
1.9350864882710626,
-1.6202825256556461,
-1.2793235269724634,
-1.577074433898552
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -77,
"target_ratio": 0.97,
"target_value": -74.69
} | 30 |
1408234504470828730 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [2, 3], [8, 3], [2, 5], [0, 7], [1, 3], [0, 5], [8, 1], [0, 3], [0, 6], [1, 2], [8, 2], [3, 6], [8, 6], [0, 4], [4, 6], [5, 6]]} | {"states": [325, 452], "expectation_value": -3.59340279831857, "params": null, "bitstrings": ["010111010", "000111011"], "total_optimization_steps": 87, "probabilities": [0.05306323723782473, 0.6746448038004712], "optimization_time": 189.0254054069519} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["111000100", "000111011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(-0.46641571136395593) q[3];
cx q[5], q[3];
cx q[5], q[2];
rz(-0.46641571136395593) q[2];
cx q[5], q[2];
cx q[3], q[2];
rz(-0.46641571136395593) q[2];
cx q[3], q[2];
cx q[5], q[0];
rz(-0.46641571136395593)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIZIZIII",
"IIIZIIZII",
"IIIIIZZII",
"ZIIIIZIII",
"ZIIIIIZII",
"IIIZIIIIZ",
"IIIIIZIIZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIIIIIZZI",
"ZIIIIIIZI",
"IIZZIIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIZII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.413721 | [
-0.46641571136395593,
-4.553516683326534e-8,
0.6137515734397195
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 112 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [17, 31], "expectation_value": -5.003273325054742, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 46, "probabilities": [0.06089525169923372, 0.7530569891117818], "optimization_time": 39.87859344482422} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.36832466187853724) q[0];
h q[1];
ry(0.6996506090294817) q[1];
h q[2];
ry(1.4341160390699692) q[2];
h q[3];
ry(0.4350596706101028) q[3];
h q[4];
cx q[4], q[3];
ry(-0.4350596706101028) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-1.4341160390699692) q[2];
c... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"ZIIIIZ",
"ZIIIZI",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-2,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25
] | 0.972729 | [
0.8701193412202056,
1.4380100031703458,
1.3993012180589635,
2.8682320781399384,
1.8506303529500285,
-0.13033527471164086,
-0.8865785813861408,
-2.183550689572806,
1.5402963289907818,
0.48885940179874426,
-1.2256497487012028,
-0.16742620949253897,
2.0704686115455657,
-0.4358628055452006,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 108 |
1792168887968305674 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3], [8, 6], [8, 2], [0, 5], [0, 4], [3, 7]]} | {"states": [124, 222], "expectation_value": -2.5873937337501216, "params": null, "bitstrings": ["110000011", "100100001"], "total_optimization_steps": 70, "probabilities": [0.04601782632914337, 0.5912439139592605], "optimization_time": 97.06856679916382} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["000111001", "101100100", "001111100", "011011110", "110000011", "010011011", "111000110", "100100001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4731538219193558) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.4731538219193558) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.4731538219193558) q[0];
cx q[5], q[0];
ry(-0.18399283572395184) q[0];
cx q[4], q[0];
ry(0.18399283572395184) q[0];
cx q[4], q[0];
ry(-0.785634... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIIIZIZI",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZIIIIZ",
"IIIIZIIIZ",
"IZIIIZIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972275 | [
-0.9463076438387116,
1.4725787691376182,
-0.3679856714479037,
1.4850492574333507,
-0.4941173696555057,
-0.057348736095403946,
0.1493155796514583,
-0.5408044414500048,
-0.5830343787069012,
-1.1611026530075084,
-0.5862479834430419,
-0.8455961651293837,
-0.40229869470802404,
0.210802518919088... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 47 |
6762673060084999459 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 6], [3, 6], [0, 1, 3, 4, 5], [2, 4]]} | {"states": [120, 122], "expectation_value": -1.9531963111604016, "params": null, "bitstrings": ["0000111", "0000101"], "total_optimization_steps": 47, "probabilities": [0.3017273054456145, 0.49235516394748896], "optimization_time": 53.148681640625} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.2, -2.2, -2.2], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0010011", "0000111", "0000101"], "largest_eigenvalue": 3.0000000000000004} | 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(-4.089788981842374e-08) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-4.089788981842374e-08) q[1];
cx q[6], q[1];
cx q[0], q[1];
rz(1.7986856156274437e-08) q[1];
cx q[0], q[1];
cx q[6], q[3];
rz(-4.0897... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], 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... | [
"ZIIIIIZ",
"ZIIIIZI",
"IIIIIZZ",
"ZIIZIII",
"IIIZIIZ",
"IIIZIZI",
"IIZIIIZ",
"IIZIIZI",
"IIZZIII",
"IZIIIIZ",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIZIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.05,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0,
0.1000000000000002,
0.1000000000000002,
0.1000000000000002,
0.09999999999999998,
0.1,
0
] | 0.909091 | [
-4.089788981842374e-8,
1.7986856156274437e-8,
1.5707963441724935,
-1.5707962876649364,
1.5707963298410752
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 172 |
17639781641b88f9ffa836608d3b637d | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [14, 78], "expectation_value": -1.8015700294317716, "params": [0.3214, 0.1811, 0.39730000000000004, 0.09870000000000001, 0.0064, -0.2082, 0.3312, 0.2139, 0.40590000000000004, 0.1374, 0.40850000000000003, 0.0041, 0.4082, 0.0008, 0.0009000000000000001, 0.2604, 0.3169, 0.197, 0.4045, 0.1328, -0.001, -0.2943, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ 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)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10110001", "10101001", "01110001"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIZZIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIZIZIIZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIIZIZZI",
"IIZIIZZI",
"IZIIIZZI",
"IIZZIIZI",
"IZIZIIZI",
"IZZIIIZI",
"IIZZIZI... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
3295697073386190827 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [0, 2], [1, 2, 4], [3, 5], [0, 4], [4, 5], [1, 3]]} | {"states": [27, 57], "expectation_value": -2.0832630311082503, "params": null, "bitstrings": ["100100", "000110"], "total_optimization_steps": 42, "probabilities": [0.12095621207040895, 0.6510084818758426], "optimization_time": 41.694055795669556} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.16666666666666674 * Z(2) + 0.0 * Z(0) + 0.16666666666666663... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333334, -2.333333333333334, -2.333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100110", "000110", "110001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.1161002670981743) q[1];
h q[2];
h q[3];
ry(-0.1677343071230435) q[3];
h q[4];
ry(-0.4504402712894152) q[4];
cx q[0], q[4];
ry(0.4504402712894152) q[4];
cx q[0], q[4];
ry(0.1300317628004747) q[0];
ry(-0.23107924302839755) q[4];
h q[5];
cx q[5], q[3];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIZZII",
"IIIZIZ",
"IIZIZI",
"IIIZZI",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIZIII",
"ZZIIII",
"IIZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0,
0.16666666666666674,
0,
0.16666666666666663,
0.16666666666666674,
0
] | 0.97112 | [
-0.335468614246087,
1.1161002670981743,
-0.23625875967242563,
1.4329142481256278,
-0.9008805425788304,
1.2014536330505665,
-1.0398130813492075,
0.48971468544137975,
-0.4621584860567951,
0.2930941104131519,
-0.2654593619840119,
0.5697629644670361,
0.015433168206632392,
-0.2044650656087148,
... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2.333333333333334,
"target_ratio": 0.97,
"target_value": -2.2633333333333336
} | 21 |
1165009819056049206 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5], [0, 2, 4], [0, 8, 7], [8, 1], [5, 6], [8, 4], [3, 6, 7], [1, 5, 7], [2, 5, 7], [1, 6], [1, 3, 7], [8, 3, 5], [2, 6, 7], [0, 6], [3, 4, 6], [1, 3, 5], [8, 2]]} | {"states": [31, 498], "expectation_value": -0.1739060469719437, "params": [[0.07490000000000001], [-0.0637]], "bitstrings": ["111100000", "000001101"], "total_optimization_steps": 10, "probabilities": [0.0022242315534095032, 0.002251705460849085], "optimization_time": 1.0687870979309082} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(7)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["000001101"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.5980209301133956) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(0.036474722643509566) q[2];
cx q[5], q[2];
cx q[0], q[2];
rz(0.036474722643509566) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.036474722643509566) 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;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIZIIII",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"ZZIIIIIII",
"IIIZIIIZI",
"ZIIIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0.5,
0.... | 0.509729 | [
0.5980209301133956,
0.036474722643509566,
0.08642156873729538,
-1.2347841663777754,
1.5132267767941192,
1.5033471382895651,
-0.8853095062759297
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -4.833333333333333,
"target_ratio": 0.97,
"target_value": -4.688333333333333
} | 217 |
e8fdec38f32f10530d269f6547919d57 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [171, 118], "expectation_value": -0.10713776752879997, "params": [[-0.0034000000000000002, -0.0412, -0.0693], [-0.046700000000000005, 0.030500000000000003, 0.0614]], "bitstrings": ["01010100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.004823590428775651, 0.004823590428775654], "optimiz... | 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(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"ZIZIIIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZZII",
"ZIIIZZII",
"ZZIIIZII",
"ZZIIZIII",
"ZZIIZZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
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,
-0.25,
-0.25,
0.125,
-0.125,
-0.25,
-0.25,
0.125,
-0.125
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
61aab22f5871f2dd4fdd8c20af9be7a7 | 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": [149, 181], "expectation_value": -88.3006602377035, "params": [[-0.002, 0.1859, -0.0692, 0.8952, 0.07680000000000001, 0.19210000000000002, 0.7170000000000001, -0.0028, 0.8192, 0.084, 0.8704000000000001], [-0.0029000000000000002, 0.2599, 0.077, 0.8888, 0.2757, 0.9032, 0.8932, -0.0025, 0.8177000000000001, 0.09... | 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(2)) + 14.5 * Z(3) + 4.5 * Z(1) + 4.0 * Z(2) + 23.5 * Z(6) + 15.5 * Z(5) + 11.5 * Z(... | 10 | 11 | 3 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["11101001010"], "largest_eigenvalue": 196.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.25795812799467627) q[0];
ry(0.299437725515918) q[1];
ry(0.027058309659640328) q[2];
ry(1.1769038298942527) q[3];
ry(0.20636115635836177) q[4];
ry(0.3206762495538595) q[5];
ry(1.1496600202358427) q[6];
ry(-0.008890507452570296) q[7];
ry(0.885824948189195) 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, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIZIIZIII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIIIZZIIII",
"IIZIIIZIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
14.5,
4.5,
4,
23.5,
15.5,
11.5,
7.5,
5,
2.5,
-11,
-14
] | 0.975418 | [
-0.25795812799467627,
0.299437725515918,
0.027058309659640328,
1.1769038298942527,
0.20636115635836177,
0.3206762495538595,
1.1496600202358427,
-0.008890507452570296,
0.885824948189195,
-0.08480987508427298,
0.6479922871145816,
0.2091423355335482,
0.15334941610282243,
-0.11442817172868229,... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -116,
"target_ratio": 0.97,
"target_value": -112.52
} | 25 |
3ed5f3574fc5742cdca345825268b283 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [4095, 511], "expectation_value": -30.8948906400061, "params": [[[-0.002, 0.0061], [0.0034000000000000002, 0.0063], [-1.593, 0.001], [-0.4645, 0.00030000000000000003], [-0.0024000000000000002, 0.004], [-0.0024000000000000002, 0.0036000000000000003], [-0.0025, 0.0002], [0.16670000000000001, 0.0084000000000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.... | 2 | 12 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.019198483592056878) q[0];
rz(0.29363905822924274) q[0];
rx(-0.0455414050892091) q[1];
rz(0.1379848034580431) q[1];
rx(-2.8518759388590316) q[2];
rz(0.6490615983225203) q[2];
rx(0.1972309981375863) q[3];
rz(-0.0720636596641918) q[3];
rx(-0.11182709299241964) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIII... | [
-2,
-2,
1,
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972186 | [
0.019198483592056878,
0.29363905822924274,
-0.0455414050892091,
0.1379848034580431,
-2.8518759388590316,
0.6490615983225203,
0.1972309981375863,
-0.0720636596641918,
-0.11182709299241964,
-0.2796944261413121,
0.11295956344834253,
-0.046215799635921984,
-0.40449170054818917,
0.2844306617471... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 11 |
6968455800780619906 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5, 7], [2, 4], [0, 1, 6], [1, 3, 8, 10, 11], [8, 9], [8, 3, 4, 7], [0, 8, 3], [1, 11, 5, 6], [10, 3, 4], [1, 3, 7, 9, 11], [9, 11, 4], [8, 2, 3, 6], [0, 1, 2], [8, 1, 5], [3, 2, 11, 7], [3, 6, 9, 10, 11], [0, 4], [0, 3, 5], [2, 5, 7, 9, 10], [10... | {"states": [3038, 2974], "expectation_value": -6.104304515447621, "params": [[[-0.0057, 0.0132, 0.0012000000000000001, 0.0083], [2.7214, -0.0132, -0.0068000000000000005, 0.0026000000000000003], [1.5735000000000001, 0.0022, 1.5723, 0.0043], [-0.0023, 1.2414, -0.0023, 0.0053], [1.5738, -0.0023, 1.568, 0.0014], [2.5972, 0... | 0.3 * (Z(1) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.15000000000000002 * (Z(5) @ Z(1)) + 0.1 * (Z(7) @ Z(4)) + 0.3 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.39999999999999997 * (Z(9) @ Z(4)) + 0.18333333333333335 * (Z(9) @ Z(1)) + 0.26666666666666666 * (Z(9) @ Z(5)) + 0.1 * (Z(9) @ Z(7)) + 0.5 ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-6.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.933333333333334, "smallest_bitstrings": ["010001100001"], "largest_eigenvalue": 23.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.0018888937994655912) q[0];
rz(-0.021383108710586865) q[0];
ry(3.0062202604682513) q[1];
rz(-0.03079709108895705) q[1];
cx q[1], q[0];
ry(-0.020621217734730028) q[1];
rz(-0.16060840390568093) q[1];
ry(1.4973310054266502) q[2];
rz(-0.0973937778767261) q[2];
ry(-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": []} | [
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIIIZIIIII",
"IIZIZIIIIIII",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIZIIZIIIIII",
"IIIIIIIZIIIZ",
"IIIIIIIIIIZZ",
"IIIIIIZIIIIZ",
"IIIIZIIII... | [
0.3,
0.21666666666666667,
0.15000000000000002,
0.1,
0.3,
0.21666666666666667,
0.39999999999999997,
0.18333333333333335,
0.26666666666666666,
0.1,
0.5,
0.08333333333333333,
0.25,
0.25,
0.3,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.13333333333333333,
0.5,
... | 0.970941 | [
-0.0018888937994655912,
-0.021383108710586865,
3.0062202604682513,
-0.03079709108895705,
1.4973310054266502,
-0.0973937778767261,
-0.08927779566696044,
1.3828985050753428,
1.4743330105896324,
3.0688375832106263,
0.8416873834128236,
0.025823766095050663,
-1.4642855746816985,
-0.156198104204... | {
"n_parameters": 37,
"n_qubits": 12,
"optimal_eigenvalue": -6.466666666666667,
"target_ratio": 0.97,
"target_value": -6.272666666666667
} | 9 |
18d7674dcfcdfea0132549d38d535312 | 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": [1330, 1329], "expectation_value": -105.12095962392334, "params": [[[1.1901000000000002, 0.0304], [0.041800000000000004, 0.027100000000000003], [0.8441000000000001, 0.25470000000000004], [-0.10110000000000001, 0.262], [0.0061, 0.0222], [-0.06770000000000001, 1.022], [-0.093, 0.32580000000000003], [-0.0108, 1... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(9) @ Z(10)) + 12.5 * Z(2) + 16.0 * Z(0) + 4.0 * Z(1) + -4.0 * Z(3) + 0.5 * Z(4) + 10.0 * Z(5) + 8.0 * Z(6) + 1.0... | 15 | 11 | 4 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["01011001110"], "largest_eigenvalue": 131.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2593319179772342) q[0];
ry(0.3048035217630874) q[1];
ry(0.3784319091918678) q[2];
ry(0.1477138873082117) q[3];
ry(0.036755311727940776) q[4];
ry(-0.09934779927241227) q[5];
ry(-0.2438320060114531) q[6];
ry(-0.05883343419101855) q[7];
ry(0.012250394480079613) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"ZIIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
12.5,
16,
4,
-4,
0.5,
10,
8,
1,
8.5,
-6,
-11
] | 0.970248 | [
1.2593319179772342,
0.3048035217630874,
0.3784319091918678,
0.1477138873082117,
0.036755311727940776,
-0.09934779927241227,
-0.2438320060114531,
-0.05883343419101855,
0.012250394480079613,
0.08437053491563344,
-0.04874468845297244,
0.1282753123192967,
0.07277903987537998,
0.169741671284994... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 88 |
2b8dca7c94388a8984b1472327af39be | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.613626698205938, "params": [[[0.4766, 0.1786], [0.4743, 0.17880000000000001], [0.3896, 0.1925], [0.4823, 0.1776], [0.47240000000000004, 0.1767], [0.796, -0.0021000000000000003], [0.7968000000000001, 0.002], [0.7971, -0.0022]], [[0.4773, 0.0015], [0.47640000000000005, 0.006500... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3818771377724905) q[0];
rz(-1.9103690503996393) q[0];
rx(-0.11263134617702725) q[1];
rz(0.6007254116023226) q[1];
rx(-0.002501317637743139) q[2];
rz(0.08539354915702879) q[2];
rx(-0.0783377712412768) q[3];
rz(1.925375141265496) q[3];
rx(0.012064649750713419) 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
-7,
-7,
-7.5,
-7,
-7,
-6.5,
-6.5,
-6.5
] | 0.981014 | [
-0.3818771377724905,
-1.9103690503996393,
-0.11263134617702725,
0.6007254116023226,
-0.002501317637743139,
0.08539354915702879,
-0.0783377712412768,
1.925375141265496,
0.012064649750713419,
0.3747330441849217,
3.106996129162009,
-0.11573936158740605,
3.349533670738013,
0.27690137576373397,... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 22 |
bbe413a0841b062dbaa665f6954396a2 | 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": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [1845, 1973], "expectation_value": -3.0872685174132606, "params": [0.0217, -0.0732, 0.061000000000000006, -0.0784, 0.3992, -0.0417, 0.39840000000000003, -0.0039000000000000003, 0.3398, -0.004200000000000001, 0.3438, 0.0001, 0.3831, -0.0461, 0.384, 0.006500000000000001, 0.39680000000000004, 0.0404000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) ... | 6 | 12 | 3 | {"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], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.75, "smallest_bitstrings": ["100101001000", "100000011010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4927064872490579) q[0];
ry(-1.541571540095782) q[1];
ry(1.5557930720993445) q[2];
ry(1.6254513445590038) q[3];
ry(1.395404604614877) q[4];
ry(-1.5536698237352855) q[5];
ry(1.454474172112009) q[6];
ry(1.5942835245391742) q[7];
ry(1.4991717074808872) q[8];
ry(1.5483... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIIZZIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZZIIII",
"IIIIZIZZIIII",
"IIIIZZIZIIII",
"IIIIZZZIIIII",
"IIIIZZZZIIII",
"IIIZIIIZIIII",
"IIZIIIIZI... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.970056 | [
1.4927064872490579,
-1.541571540095782,
1.5557930720993445,
1.6254513445590038,
1.395404604614877,
-1.5536698237352855,
1.454474172112009,
1.5942835245391742,
1.4991717074808872,
1.5483452578550838,
1.5183842869148312,
1.6198617486001652,
-1.5425267623354761,
1.6152782343879717,
1.516127... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 62 |
0544aa413865c48491d65699e643b115 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 272], "expectation_value": -17.004075504106908, "params": [-0.10640000000000001, 0.094, -0.0816, -0.0182, -0.0077, 0.3183, -0.0019, 0.31320000000000003, 0.23770000000000002, -0.0063, 0.2225, -0.0024000000000000002, 0.0024000000000000002, 0.3054, -0.005, 0.37620000000000003, -0.0051, 0.3023, 0.00420000000... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -1.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(9)) + 2.5 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(9)) + -0.75 * (Z(... | 6 | 11 | 3 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11011101111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.10240359585212226) q[0];
rz(1.3302177410417784) q[0];
rx(-0.2620852870181547) q[1];
rz(1.8873052422814744) q[1];
rx(0.9821980748600346) q[2];
rz(1.8483230141909894) q[2];
rx(0.0072547257662513775) q[3];
rz(1.7674552553228482) q[3];
rx(-0.09404379486150899) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IZIIIIIIIIZ",
"IZIIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIIIIIZZIII",
"ZIIIIIIZIII",
"IIIIIIIZZ... | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-1.5,
-0.5,
2.5,
-0.75,
-0.25,
-1,
-0.75,
-0.75,
-1,
-0.25,
-0.25,
-0.5,
-1,
-0.75,
-0.5,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1,
0.75,
-0.25,
0.75,
-0.75,
0.25,
-0.5,
-0.5,
1,
0.75,
-3,
1.5
] | 0.976164 | [
-0.10240359585212225,
-0.2405785857531187,
-0.2620852870181547,
0.31650891548657684,
0.9821980748600347,
0.2775266873960926,
0.007254725766251378,
0.19665892852795153,
-0.09404379486150899,
0.8099592629327698,
-0.22671494835720618,
0.689265189554137,
-0.12786572473648772,
-0.18503891203637... | {
"n_parameters": 103,
"n_qubits": 11,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 86 |
35b68271249f28243bae707d8ab4258d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 7},... | {"states": [248, 2040], "expectation_value": -27.873384559190452, "params": [[[-0.0021000000000000003, 0.0006000000000000001], [0.0019, 0.0026000000000000003], [1.4752, 0.00030000000000000003], [0.0019, 0.0036000000000000003], [-0.0021000000000000003, 0.0002], [-0.0027, 0.004], [0.0022, 0.001], [1.7126000000000001, 0.0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(8) @ Z(9)) + -2... | 2 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["00000000111"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.021606995299498548) q[0];
rz(-0.25908371254813606) q[0];
rx(-0.050860156239663945) q[1];
rz(-0.37321245738046366) q[1];
rx(0.871920334491987) q[2];
rz(-0.432809194830701) q[2];
rx(-0.050860156239663945) q[3];
rz(-0.2500043246494498) q[3];
rx(-0.021606995299498548... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIZIIZIIII",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIIZZIIIIII",
"IIIIZIZIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
1,
-2.5,
1,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.972838 | [
-0.021606995299498548,
-0.25908371254813606,
-0.050860156239663945,
-0.37321245738046366,
0.871920334491987,
-0.432809194830701,
-0.2500043246494498,
0.2651367164162772,
-0.12987061098452013,
-0.19374185360416443,
0.0027451300236409626,
-0.4995435170087558,
3.1126091911497866,
0.1872090367... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 23 |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -22.390695361218082, "params": [[[0.0029000000000000002, 0.871], [1.5752000000000002, 0.0031000000000000003], [0.0027, 1.3157], [-0.8325, -0.0001], [0.0026000000000000003, 1.2382], [0.0028, 1.3332000000000002], [1.5648, 0.0031000000000000003]], [[0.0029000000000000002, 0.006900... | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
4741113104597698581 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 4, 5, 7, 8, 11], [0, 1, 2, 3, 4, 6, 7, 8, 12], [0, 1, 3, 4, 5, 7, 8, 9, 10, 11, 12], [1, 2, 11, 7], [1, 2, 4, 5, 6, 8, 9, 10, 12], [3, 5, 6, 8, 9, 11], [0, 1, 2, 4, 5, 7, 8, 10], [0, 4, 5, 6, 7, 11, 12], [1, 6, 7, 8, 9, 10, 11], [1, 2, 4, 6, 9,... | {"states": [3995, 3991], "expectation_value": -3.0374177257131714, "params": [-0.0091, -0.0, 0.0137, 0.0006000000000000001, 1.7759, -0.0043, 1.2656, 0.009300000000000001, 1.5705, 0.0024000000000000002, 1.5661, 0.0004, 1.2356, -0.0181, 1.1589, 0.0303, 1.5699, -0.0024000000000000002, 1.5659, 0.0045000000000000005, 1.6101... | 0.09722222222222221 * (Z(0) @ Z(2)) + 0.1111111111111111 * (Z(4) @ Z(2)) + 0.11226551226551226 * (Z(4) @ Z(0)) + 0.05555555555555555 * (Z(5) @ Z(2)) + 0.07456709956709956 * (Z(5) @ Z(0)) + 0.09956709956709957 * (Z(5) @ Z(4)) + 0.2222222222222222 * (Z(7) @ Z(2)) + 0.08845598845598845 * (Z(7) @ Z(0)) + 0.0995670995670995... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.1291125541125537], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.110930735930736, "smallest_bitstrings": ["1000001101000"], "largest_eigenvalue": 17.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.02070147045714244) q[0];
rz(1.8461846933407138) q[0];
rx(1.814087774728407) q[1];
rz(0.008428974493442959) q[1];
cx q[1], q[0];
ry(0.020438040561233686) q[0];
cx q[1], q[0];
ry(0.08626628595103379) q[0];
rz(-1.4877674791010442) q[0];
rx(1.254260490945933) q[1];
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": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"IIIIIZIIIIZII",
"IIIIIZIIIIIIZ",
"IIIIIZIIZIIII",
"IIIIIZIZIIIII",
"IIIIZIIIIIZII",
"IIIIZIIIIIIIZ",
"IIIIZIIIZIIII",
"IIIIZIIZIIIII",
"IIIIZZIIIIIII",
"IZIIIIIIIIZII",
"IZIIIIIIIII... | [
0.09722222222222221,
0.1111111111111111,
0.11226551226551226,
0.05555555555555555,
0.07456709956709956,
0.09956709956709957,
0.2222222222222222,
0.08845598845598845,
0.09956709956709957,
0.10948773448773448,
0.09325396825396826,
0.06464646464646465,
0.08964646464646464,
0.1329004329004329,... | 0.970013 | [
-0.02070147045714245,
0.27538836654581833,
1.814087774728407,
0.008428974493442959,
1.6198503545380434,
-0.04087608112246737,
1.3767795532393485,
-0.02608419576449749,
1.473201795716448,
-0.1054245637155213,
1.6856037608164443,
0.09698971582735305,
0.007658820216576524,
-1.9546621421319927... | {
"n_parameters": 61,
"n_qubits": 13,
"optimal_eigenvalue": -3.1291125541125537,
"target_ratio": 0.97,
"target_value": -3.035239177489177
} | 5 |
0736b1161a5a600a3b5b1b2ae725bcb7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 193], "expectation_value": -12.001085284107736, "params": null, "bitstrings": ["111111110", "100111110"], "total_optimization_steps": 48, "probabilities": [0.24863352149728243, 0.7512270183743586], "optimization_time": 68.36865425109863} | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.25, -12.25, -12.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.25, "smallest_bitstrings": ["100000000", "100000100", "100111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.028963033118374542) q[0];
h q[1];
ry(0.7523113712517789) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7523113712517789) q[1];
cx q[2], q[1];
ry(0.5790360660699018) q[2];
cx q[1], q[2];
ry(-0.5790360660699018) q[2];
cx q[1], q[2];
ry(0.058438774015780535) q[1];... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIZII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.75,
-1,
-0.25,
-0.5,
-0.25,
-1,
1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.5,
-1,
-1,
-2.25,
-0.25,
1.25,
-0.25,
-0.5,
0,
1.25,
-0.25,
1
] | 0.97806 | [
-1.573159116598947,
-1.526511268874567,
1.5964436306868186,
1.5046227425035579,
1.1580721321398035,
0.11687754803156107,
0.2275878535707746,
0.03924430621185428,
0.08743363444317828,
-0.1464961820774085
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 1 |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -4.496464044051204, "params": null, "bitstrings": ["110001", "110010"], "total_optimization_steps": 25, "probabilities": [0.06634810230018152, 0.9303665171788271], "optimization_time": 19.502207279205322} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
h q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
e4c65d82be0d39aa5a43dd21b25413c9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 11, "source": 1, "target": 5}, {"weight": 1... | {"states": [158, 122], "expectation_value": -8.920809605083381, "params": [[-0.0475], [0.061200000000000004]], "bitstrings": ["01100001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00654152348982504, 0.007312394574735457], "optimization_time": 2.704465866088867} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) 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] 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
9,
11.5,
15.5,
20,
12.5,
5,
13,
8
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
1f4bbfe7446d68943a04b00ebacd5a62 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "target": 6}]} | {"states": [54, 59], "expectation_value": -4.240627747574594, "params": null, "bitstrings": ["1001001", "1000100"], "total_optimization_steps": 36, "probabilities": [0.08262566223498526, 0.8263846024562964], "optimization_time": 27.817478895187378} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.2907699264764165e-08) q[0];
cx q[1], q[0];
rz(1.5707964066603415) q[1];
rx(-1.570796369520909) q[1];
h q[2];
cx q[0], q[2];
rz(-4.2907699264764165e-08) q[2];
cx q[0], q[2];
rz(1.5707964066603415) q[2];
rx(-1.570796369520909) q[2];
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];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"IIIZIIZ",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
0,
0,
-0.5,
-0.5,
0
] | 0.777778 | [
-4.2907699264764165e-8,
1.5707964066603417,
-1.5707963644744318,
-1.5702835466732086,
-1.570796369520909
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 200 |
-8681032418437515509 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 6], [1, 3], [0, 7], [1, 4], [2, 4], [3, 5]]} | {"states": [230, 103], "expectation_value": -3.07939937938768, "params": null, "bitstrings": ["00011001", "10011000"], "total_optimization_steps": 64, "probabilities": [0.09493413637583979, 0.738153403779213], "optimization_time": 82.50391745567322} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10011000", "01100111"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.04770309945142765) q[0];
rz(-1.2462279132851055) q[0];
rx(1.9666492688738186) q[1];
rz(0.1304906475601033) q[1];
rx(1.5444016794522553) q[2];
rz(0.426092964029233) q[2];
rx(0.08433456470389725) q[3];
rz(1.3873421987891748) q[3];
rx(0.20764190930474882) q[4];
rz(1.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IZIIZIII",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIZIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.975557 | [
0.04770309945142765,
-0.8708224658028467,
1.9666492688738184,
0.13920804700799944,
1.5444016794522555,
0.44842888632863975,
0.08433456470389725,
1.047899749951685,
0.2076419093047488,
1.286618177816035,
2.059253324412485,
0.33481424942687876,
1.7246099545945948,
0.2060072174348552,
1.621... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 45 |
7d2e8354bbcbc456262414017816878c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [33, 82], "expectation_value": -2.455360952123546, "params": [[-0.07880000000000001, -0.0673, -0.0658], [0.0811, 0.0718, 0.0654]], "bitstrings": ["1011110", "0101101"], "total_optimization_steps": 10, "probabilities": [0.01732419674039279, 0.019979198274687596], "optimization_time": 5.664169788360596} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0101101"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5494844452525025) q[0];
rz(1.5486491324501142) q[0];
rx(-0.039678277732931554) q[1];
rz(1.6470472107929357) q[1];
rx(1.6626679060190528) q[2];
rz(1.6681044612233205) q[2];
rx(-0.11077409232451249) q[3];
rz(1.9341065834099869) q[3];
rx(0.6694949907746592) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZZII",
"ZIIIZII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
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,
-2.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.975682 | [
1.5494844452525025,
-0.022147194344781913,
-0.03967827773293156,
0.07625088399803912,
1.6626679060190526,
0.09730813442842348,
-0.11077409232451248,
0.3633102566150902,
0.6694949907746592,
-0.21616780515378003,
1.3427741687318178,
-0.14268629026902196,
-0.17233115819198355,
0.3278354784641... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
cb501fbff3a682356b0923a44dd89d95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [96, 100], "expectation_value": -7.691005652662532, "params": [0.0033, -0.24960000000000002, 0.004, -0.24810000000000001, 0.3925, 0.0016, 0.39480000000000004, -0.004, 0.393, -0.0039000000000000003, 0.39330000000000004, -0.0015, 0.1085, 0.10160000000000001, 0.10590000000000001, 0.09430000000000001, -0.0042000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["10001111", "10011011"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.12206877980165957) q[0];
rz(-0.26726813771505853) q[0];
rx(1.7130246120953307) q[1];
rz(0.4786467819367979) q[1];
rx(1.94020557954093) q[2];
rz(0.23747474658925416) q[2];
rx(1.9383622532413152) q[3];
rz(0.5130758081700177) q[3];
rx(0.0005438066793508473) 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIII... | [
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,
-2,
-2,
-2,
-1.5,
-2.5,
-1,
-2
] | 0.975528 | [
-0.12206877980165957,
-0.2911166871377969,
1.7130246120953307,
0.5246409080467402,
1.9402055795409303,
0.3153792395479853,
1.9383622532413154,
0.26627077442356906,
0.0005438066793508473,
0.6383541901462093,
0.5866612565434145,
0.8320624834265804,
-0.08689630940827095,
-0.5660958393156564,
... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 27 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [3499, 3485], "expectation_value": -2.063723271664977, "params": [[0.06430000000000001, 0.0443, 0.054400000000000004, 0.0745], [-0.06770000000000001, -0.039, -0.0368, -0.0534]], "bitstrings": ["001001010100", "001001100010"], "total_optimization_steps": 10, "probabilities": [0.0006976905539484573, 0.00069769... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
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,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
-886647577428346885 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1, 6], [1, 3], [8, 2], [2, 11], [8, 0, 6], [0, 10, 4], [1, 5], [8, 11, 7], [11, 3], [5, 7], [9, 1], [1, 2], [0, 10, 7]]} | {"states": [3878, 3366], "expectation_value": -4.858596203861613, "params": [[0.0731, 0.8868, 0.0159, 1.8025, 0.0016, 0.0023, 2.0622000000000003, 0.0014, -0.2983, 0.23420000000000002, 0.8268000000000001, -0.0019], [2.3012, 2.2532, 1.478, 1.3443, 0.0025, 0.0024000000000000002, 1.0896000000000001, 0.0032, 0.3278000000000... | 0.16666666666666666 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(10)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666... | 10 | 12 | 1 | {"smallest_eigenvalues": [-5.333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.000000000000001, "smallest_bitstrings": ["001011011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.0763235985121771) q[0];
ry(0.8239615034824265) q[1];
ry(0.07081495742187754) q[2];
ry(1.7737888805119486) q[3];
ry(0.030588930748068094) q[4];
ry(0.21085543259731965) q[5];
ry(2.0134584727818847) q[6];
ry(-0.16008158247020637) q[7];
ry(-0.3684837210998112) q[8];
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": []} | [
"IZIIIIIIIIZI",
"IIIZIIIIIIZI",
"IZIZIIIIIIII",
"IIIIIIZIIIZI",
"IIIIIIIZIIZI",
"IZIIIIIZIIII",
"IZIIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIIIZZIII",
"IZIIIIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIZIIIIIZI",
"IZZIIIIIIIII",
"IIZIIIIIZIII",
"IIZIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.971302 | [
0.0763235985121771,
0.8239615034824265,
0.07081495742187754,
1.7737888805119486,
0.030588930748068094,
0.21085543259731965,
2.0134584727818847,
-0.16008158247020637,
-0.3684837210998112,
0.0718913650388816,
0.6406957297237731,
0.04670734313523553,
2.8514969442637734,
2.358919311644155,
0... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -5.333333333333335,
"target_ratio": 0.97,
"target_value": -5.173333333333335
} | 23 |
681317cce116b7c317d2d1166a0937e1 | 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": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [142, 206], "expectation_value": -1.2350357822652143, "params": [0.3234, 0.1095, 0.44480000000000003, 0.11370000000000001, 0.42810000000000004, 0.1018, -0.0037, 0.3899, 0.30010000000000003, 0.1068, 0.4602, 0.1153, 0.46380000000000005, 0.0874, 0.5024000000000001, 0.001, 0.3544, -0.033, 0.3261, 0.1093000000000... | 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(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(5) @ Z(1))... | 18 | 9 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.25, "smallest_bitstrings": ["001101010", "010110001", "011110000", "100110001", "001111000", "110100100", "100101100", "100101001", "1001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.2653211005769242) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.2653211005769242) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.2653211005769242) q[5];
cx q[0], q[5];
rz(0.8526905993575316) q[0];
rx(0.88180115... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIZIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIIZIIIZI",
"IIZIIIZII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIZIIIZII",
"IZIIIZIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
0,
-1,
0,
0,
0,
-0.25,
0
] | 0.764122 | [
-0.2653211005769242,
0.8526905993575312,
1.319009349126271,
-2.5209900163082057,
0.8818011504971432,
1.18332886007987,
-2.851170190766367,
-2.4976708840306894,
-0.4815721680834389
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 330 |
-8299261858814016363 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 2], [3, 5, 6], [0, 3]]} | {"states": [83, 99], "expectation_value": -0.6807259804599278, "params": [[0.4025], [-0.39580000000000004]], "bitstrings": ["0101100", "0011100"], "total_optimization_steps": 50, "probabilities": [0.025104233643802463, 0.025104233643802463], "optimization_time": 1.2396023273468018} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(6) + 0.0 * Z(0) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333337, -1.8333333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["0101100", "0011100"], "largest_eigenvalue": 2.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(1.5039892005294024) q[1];
cx q[2], q[1];
rz(-0.0664753077423672) q[1];
rx(-0.7912818121814983) q[1];
rz(-0.0664753077423672) q[2];
rx(-0.7912818121814983) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(1.5039892005294024) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(x1) q[3];
cx q[5], q... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"IIIIZZI",
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IIIZIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0,
0,
0,
0.16666666666666663,
0.16666666666666666,
0
] | 0.835237 | [
1.5039892005294024,
0.20802878761450078,
-0.06647530774236735,
-0.7912818121814983
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333337,
"target_ratio": 0.97,
"target_value": -1.7783333333333335
} | 109 |
-4344597050481672989 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [0, 2, 5], [2, 6], [0, 1, 3], [0, 4, 5, 7], [8, 2, 4], [0, 2, 7], [8, 1], [0, 8, 7], [2, 3, 4, 5]]} | {"states": [464, 466], "expectation_value": -3.1339840861533745, "params": null, "bitstrings": ["000101111", "000101101"], "total_optimization_steps": 53, "probabilities": [0.26555247085033246, 0.6181025767530255], "optimization_time": 107.58514976501465} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.1666666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["000101101", "010001110"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.6740436782518813) q[0];
h q[1];
h q[2];
ry(1.478492959790926) q[2];
h q[3];
ry(-0.27705062793447155) q[3];
h q[4];
ry(1.4821372903694263) q[4];
h q[5];
ry(-0.45249605358339046) q[5];
h q[6];
ry(-0.7288609343224409) q[6];
cx q[4], q[6];
ry(0.7288609343224409... | 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(1.5547) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIZIZIIII",
"IIIIZIIIZ",
"IIZIIIZII",
"IIIIZIZII",
"IIIIIIZIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIZIII",
"IIIIIZIZI",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"... | [
0.5,
0.08333333333333333,
0.5,
0.25,
0.3333333333333333,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.0... | 0.974247 | [
1.6740436782518813,
1.4821372903694263,
-1.4577218686448818,
1.478492959790926,
-1.0475513468345112,
0.89691242763611,
-0.46700397345088596,
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0.542127194625133,
-0.3129812514343056,
0.0519186943483327,
-0.15207953126943347,
-0.4304207091902231,
-0.5541012558689431,
0.... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 9 |
6abee49f932c3a6c555bdb36f64160a1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [543, 31], "expectation_value": -24.722773118413734, "params": null, "bitstrings": ["10111100000", "11111100000"], "total_optimization_steps": 100, "probabilities": [0.13029210246254452, 0.32107031416936643], "optimization_time": 296.64559030532837} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + -3.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(4)) + -2.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["11111100000"], "largest_eigenvalue": 35.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6430214263465752) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.1266548834935663) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02751805485061168) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.5887235437342699) q[3];
cx q[1], q[... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5709) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = m... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"ZIIIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIII... | [
-2.5,
1,
0.5,
-3,
1,
1.5,
-3.5,
1,
-3,
-3,
1,
-2.5,
-3,
-3,
-2,
-2,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2.5,
-2.5,
-3,
-3,
-3,
2,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.528675 | [
-0.6430214263465752,
-0.1266548834935663,
-0.02751805485061168,
-0.5887235437342699,
-0.279366965921311,
-0.3539620347432813,
-1.0968599724356154,
-1.1318634557363245,
-0.24925012147422268,
-1.0617080587770398
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 237 |
b10e647670f759bc4f3dd1387515cbab | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.3058466899169297, "params": [[0.41100000000000003], [-0.4031]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 50, "probabilities": [0.0007508271915671667, 0.0007508271915671669], "optimization_time": 5.92071795463562} | 0.25 * (Z(0) @ Z(1)) + -0.0007653061224489797 * (Z(2) @ Z(0)) + -0.0007653061224489797 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012755102040816328 * (Z(4) @ Z(0)) + -0.0007653061224489797 * (Z(4) @ Z(2)) + -0.0012755102040816328 * (Z(5) @ Z(1)) + -0.0007653061224489797 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5150510204081633], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5150510204081629, "smallest_bitstrings": ["010101101010"], "largest_eigenvalue": 1.5130102040816333} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.6059590783964175) q[1];
h q[2];
ry(-1.5435690642332873) q[2];
h q[3];
ry(-0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.5332571362745683) q[3];
cx q[0], q[3];
ry(0.9119014324033945) q[0];
ry(-0.6753977872976624) q[3];
h q[4];
ry(1.6059590783964175) ... | 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0007653061224489797,
-0.0007653061224489797,
0.25,
-0.0012755102040816328,
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0.25,
0.0007653061224489796,
-0.0002551020408163266,
0.0007653061224489796,
0.0007653061224489796,
-0.0002551020408163266,
0.0007653... | 0.993521 | [
-1.5435690642332873,
-1.3972417071881398,
1.6059590783964175,
-1.0665142725491366,
0.6111672878365482,
-0.1119226496394643,
-0.49139838766546845,
0.6014682891336927,
-0.3679987992643881,
0.33092884969918057,
-0.19658386032209535,
0.11017040147676396,
0.21045782912511068,
-0.041443516117334... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
8777ff3c42e14a86c796b9915ca51225 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [110, 109], "expectation_value": -19.801947678706604, "params": [[-0.037200000000000004, -0.0108, -0.0097], [0.0592, 0.045700000000000005, 0.039900000000000005]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.013682112376802525, 0.014249814693691139], "optimizati... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 14.5 * Z(1) + 9.0 * Z(0) + 13.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.009357746067172136) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.009357746067172136) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.009357746067172136) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.009357746067172136) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
9,
13.5,
15,
19,
-4,
14,
15.5
] | 0.973684 | [
-0.009357746067172136,
1.7343347017547897,
-2.22652197119133,
1.804039392927466,
1.4769531703997372,
1.6204196337017196,
-1.4304080186998116,
-1.5779268163954558,
1.9033652718512877,
-1.6191665728037676,
-0.25586609766135865,
-1.0317941735983325,
0.4007973848651246,
0.40980204608380066,
... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 66 |
1868412768826075099 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 5, 6], [4, 5], [1, 2, 3, 6], [0, 1, 2, 3, 4], [1, 2, 5, 6], [0, 1, 6], [0, 2, 3, 5, 6]]} | {"states": [124, 122], "expectation_value": -1.92266445993858, "params": null, "bitstrings": ["0000011", "0000101"], "total_optimization_steps": 43, "probabilities": [0.057297994768932, 0.8670510695457593], "optimization_time": 51.98134732246399} | 0.21666666666666667 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.18333333333333335 * (Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9833333333333338], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666673, "smallest_bitstrings": ["0000101"], "largest_eigenvalue": 6.5} | 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(-8.542766897677868e-08) q[1];
cx q[3], q[1];
h q[4];
h q[5];
cx q[3], q[5];
rz(1.2239153582421114e-07) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(-8.842470756995848e-09) q[5];
cx q[1], q[5];
h q[6];
cx q[3], q[6];
rz(-8.5427... | 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(1.5218) 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", "... | [
"IIIZIZI",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZZIIIII",
"IIZZIII",
"IIZIIZI",
"IZZIIII",
"IIIZZII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IIIZIIZ",
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIIIZ",
"IIIIZIZ",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIZ... | [
0.21666666666666667,
0.13333333333333333,
0.16666666666666666,
0.21666666666666667,
0.41666666666666663,
0.21666666666666667,
0.05,
0.05,
0.5,
0.18333333333333335,
0.21666666666666667,
0.13333333333333333,
0.21666666666666667,
0.05,
0.1,
0.21666666666666667,
0.05,
0.216666666666666... | 0.831779 | [
-8.542766897677868e-8,
1.2239153582421114e-7,
-8.842470756995848e-9,
-1.5707962897839571,
-7.727001456553662e-8,
-1.570796240129721,
1.2504317509370478e-8,
-1.7330139464229592e-7,
-1.5707965971335138,
-9.641764266808506e-8,
1.3932844972239555e-7,
-1.570796308765725,
0.8994366361136876
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -1.9833333333333338,
"target_ratio": 0.97,
"target_value": -1.9238333333333337
} | 301 |
82fc98777a2a95e4438cd970019d035f | 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": 0, "id": 8}, {"bipartite":... | {"states": [1253, 1221], "expectation_value": -95.18376199964206, "params": [2.798, 0.0049, 0.0024000000000000002, 0.0081, 0.8869, 0.0082, 2.8040000000000003, 0.0085, 2.7987, 0.0027, 1.5353, 0.0097, 0.0022, 0.0023, 0.0029000000000000002, 0.0043, 2.8082000000000003, 0.0032, -0.002, 0.0077, 2.0699, 0.0026000000000000003,... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(10) @ Z(5)) + -4.5 * Z(1) + 7.0 * Z(0) + 4.0 * Z(2) + 15.5 * Z(3) + 9.5 * Z(4) + 13.0 * Z(5) + -6.5 * Z(7) + 6.0... | 18 | 11 | 1 | {"smallest_eigenvalues": [-115.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["01100111010"], "largest_eigenvalue": 139.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.1189921687466273) q[0];
rz(-0.058540707886201915) q[0];
rx(-0.09850000273080914) q[1];
rz(-0.12587464021644362) q[1];
rx(0.17183296636561002) q[2];
rz(0.3238781412628813) q[2];
rx(3.1192623832658386) q[3];
rz(-0.03717837006958869) q[3];
rx(3.1186453308294726) 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, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIIIIIIZ",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-4.5,
7,
4,
15.5,
9.5,
13,
-6.5,
6,
-4,
-6.5,
8.5
] | 0.979545 | [
3.1641931384329594,
-0.057887391407461075,
-0.09850000273080914,
-0.12587464021644362,
0.17183296636561002,
0.3238781412628813,
3.1192623832658386,
-0.03717837006958869,
3.1186453308294726,
-0.11899239887207234,
0.33929584209502456,
0.3264962687384145,
-0.11512843605972753,
0.1390280905963... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -115,
"target_ratio": 0.97,
"target_value": -111.55
} | 14 |
3d48be966ec63d77ff020a1223ab7d08 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [33, 161], "expectation_value": -2.8383687250036425, "params": [[0.1573], [-0.14700000000000002]], "bitstrings": ["111011110", "101011110"], "total_optimization_steps": 20, "probabilities": [0.006429464344850009, 0.006617874041405125], "optimization_time": 3.511070728302002} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + 2.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(6) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["111011110", "111010110", "101011110", "101010110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.012254983271288555) q[0];
rz(2.8113188693117834) q[0];
rx(-0.012254983271288556) q[1];
rz(2.9440478202374276) q[1];
rx(-0.02209645444609827) q[2];
rz(2.70467411041005) q[2];
rx(0.9378896369973658) q[3];
rz(1.617640596306857) q[3];
rx(-0.04554104132355155) 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] 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 ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"... | [
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-1,
2.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-1.25,
-0.25,
-0.75,
0.75,
-0.25,
-2,
-1,
0.75,
0.75,
1.5,
-1.5,
1
] | 0.970825 | [
-0.012254983271288555,
1.2405225425168875,
1.3732514934425306,
-0.02209645444609827,
1.1338777836151521,
0.9378896369973659,
0.046844269511960274,
-0.04554104132355155,
1.4046149511810124,
0.01677975110401399,
1.1944556000262676,
1.3057849448687786,
-0.02735154360095176,
1.3493420455931076... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 2 |
5f59fc9d0aa0f9e4890b3d6228f2f57a | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [223, 255], "expectation_value": -10.560737178922388, "params": null, "bitstrings": ["100100000", "100000000"], "total_optimization_steps": 98, "probabilities": [0.4267913307433243, 0.4267913307433243], "optimization_time": 208.71451258659363} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000000", "111111110", "100100000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2462752697496531) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2462752697496531) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.35388535482375255) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.41276690756430007) q[4];
cx ... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IIIIIZZII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"... | [
-0.25,
-0.25,
-1,
-0.5,
-1,
-1.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
1.25,
-0.5,
-1,
-1.5,
-0.5,
-0.75,
-0.25,
1.5,
0.25,
1.5,
-1,
-1.5,
0.25,
0
] | 0.776167 | [
-0.2462752697496531,
-0.35388535482375255,
-0.41276690756430007,
-0.6183566573464874,
-0.07214066222350154,
0.47519789926439976,
0.13175713518536475,
0.22217454919528176,
-0.1557189413081829,
-1.218648318362565,
-0.2330726446145422,
-0.7055132065487658,
-0.5163901090060677,
-1.215075278938... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 409 |
0f845fa738512ebb0107d1119c098372 | 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": 1}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -17.766568296635306, "params": [-0.0046, -0.0013000000000000002, 0.0008, 0.0078000000000000005, -0.0022, 0.0033, 0.2044, 0.2016, 0.004200000000000001, -0.0022, 0.0002, 0.0016, 0.0033, 0.0041, 0.001, -0.00030000000000000003, 0.002, 0.0002, -0.0011, 0.006, 0.0047, 0.0021000000000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(9) @ Z(0)) + -1.0 * (Z(11) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(4) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(9)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(9)) + -0.75 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @... | 14 | 12 | 4 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -17.25, "smallest_bitstrings": ["100000000000", "111011111100", "111011111101", "111011111110", "111011111111"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.10618789819855844) q[0];
rz(pi/2) q[0];
ry(0.03190278278282031) q[1];
ry(0.041668595540550614) q[2];
ry(0.2923755385321721) q[3];
ry(-0.12512871985422608) q[4];
ry(0.27609677780335007) q[5];
ry(0.047902982109246414) q[6];
ry(0.317740113580671) q[7];
ry(-0.04870461... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIZIIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIZI",
"IIZIIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIZIIIZI",
"IIZIIIZIIIII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIZIIZIIIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIZI",
"IIIZIIIZI... | [
-0.5,
-1,
-1,
-1.25,
-1,
-0.75,
-0.5,
-1,
-0.75,
-0.75,
-0.5,
-0.75,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-1.5,
-0.5,
2.75,
-1,
-0.25,
-0.25,
-1,
-1,
-0.75,
-0.25,
-0.75,
1,
-0.25,
0.25,
0.75,
-3.25,
-0.25,
-0.25,
-1,
2.25,
0.25,
0.25,
... | 0.974341 | [
0.10618789819855844,
0.03190278278282031,
0.041668595540550614,
0.2923755385321721,
-0.12512871985422608,
0.27609677780335007,
0.047902982109246414,
0.317740113580671,
-0.04870461022843206,
0.15745911507600946,
-0.22793337894883658,
0.041422982594273,
0.12463571132495019,
-0.16226291901215... | {
"n_parameters": 122,
"n_qubits": 12,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 4 |
082b6c86bc8d553008a81e548bf0a65e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [510, 63], "expectation_value": -5.283176217699411, "params": [[-0.1607], [0.1766]], "bitstrings": ["000000001", "111000000"], "total_optimization_steps": 20, "probabilities": [0.007962571810921188, 0.008432745420049313], "optimization_time": 2.6069436073303223} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.01995827998848688) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.0011424779715897004) q[3];
cx q[5], q[3];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.0604644772113118) q[7];
cx q[2], q[7];
cx q[0], q[7];
cx q[2], 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] 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-1.25,
-2,
-0.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-0.75,
2.25,
-1.75,
-0.25,
-3.25,
-0.25,
1,
1,
2.25,
-2.75,
2,
-0.25,
0.25
] | 0.967362 | [
0.01995827998848688,
0.0604644772113118,
0.009467678937415125,
0.0034315551282985113,
-0.020265119812155508,
-0.045284364355096626,
0.0011424779715897004,
-0.044087738298219936,
-1.50226119903777,
-1.4628010130334417,
-0.8017292774672112,
1.5766066058178019,
0.13288720752041047,
-1.4525988... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
cf866b0685f0f2b92fc41e952765f334 | 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": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [31, 23], "expectation_value": -6.49998726393998, "params": null, "bitstrings": ["1100000", "1101000"], "total_optimization_steps": 36, "probabilities": [0.49999818069426316, 0.49999818069426316], "optimization_time": 31.045494318008423} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"], "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(0.4389876603721047) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.3936411233317491) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.4389876603721047) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.4389876603721047) q[2];
cx q[3], q[2];
h ... | 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",
"IIIZIZI",
"IIIIZZI",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IIZIZII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.75,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
0.25,
-0.5,
1
] | 0.619308 | [
0.4389876603721047,
0.3936411233317491,
-0.9640592261572137,
0.3473169744588019,
0.9763395609882711,
-0.671208939863871,
-0.6920954321912673,
0.9887089718505631
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 188 |
104322869345210361 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 7, 8, 9, 10], [2, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 10], [1, 4, 6, 7, 10], [1, 2, 3, 4, 7], [1, 3, 6, 8, 9, 10], [0, 3, 4, 5, 7, 8, 9]]} | {"states": [1722, 1978], "expectation_value": -1.3020297431796044, "params": [1.3265, 0.0057, 1.3209, 0.009000000000000001, 1.5696, 0.0029000000000000002, 1.5657, 0.007200000000000001, 0.8049000000000001, -0.2937, 0.8409000000000001, 0.005200000000000001, 1.3247, -0.15430000000000002, 1.7926000000000002, 0.0047, 0.1106... | 0.10714285714285715 * (Z(1) @ Z(2)) + 0.13333333333333336 * (Z(7) @ Z(2)) + 0.13333333333333336 * (Z(7) @ Z(1)) + 0.08333333333333334 * (Z(8) @ Z(2)) + 0.06666666666666667 * (Z(8) @ Z(1)) + 0.10714285714285715 * (Z(8) @ Z(7)) + 0.08333333333333334 * (Z(9) @ Z(2)) + 0.06666666666666667 * (Z(9) @ Z(1)) + 0.10714285714285... | 7 | 11 | 1 | {"smallest_eigenvalues": [-1.3809523809523816, -1.3809523809523816, -1.3809523809523816, -1.3809523809523816], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.3809523809523812, "smallest_bitstrings": ["00001000101", "01000100010", "00001000011", "01000100100"], "largest_eigenvalue": 6.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.3644353438339993) q[0];
rz(-0.13998046256097396) q[0];
rx(1.7015239419800567) q[1];
rz(-0.006255686547221915) q[1];
cx q[1], q[0];
rz(-0.01907959296769187) q[0];
cx q[1], q[0];
rx(1.6546069257485108) q[0];
rz(-0.31350581986233494) q[0];
rx(1.4206965243634375) 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": []} | [
"IIIIIIIIZZI",
"IIIZIIIIZII",
"IIIZIIIIIZI",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IZIIIIIIZII",
"IZIIIIIIIZI",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIZI",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IIIZZIIIIII",
"IIZIZIIII... | [
0.10714285714285715,
0.13333333333333336,
0.13333333333333336,
0.08333333333333334,
0.06666666666666667,
0.10714285714285715,
0.08333333333333334,
0.06666666666666667,
0.10714285714285715,
0.14047619047619048,
0.05714285714285714,
0.14047619047619048,
0.08333333333333334,
0.066666666666666... | 0.970946 | [
1.3644353438339991,
-0.15906005552866567,
1.7015239419800567,
-0.006255686547221915,
1.133718788799875,
-0.127269763618774,
1.1659640601841192,
-0.27735239230830677,
-0.1799994423598506,
1.176348844116907,
1.9332895087952908,
0.5620995878468232,
1.5580322046875883,
0.17408700047074638,
1... | {
"n_parameters": 51,
"n_qubits": 11,
"optimal_eigenvalue": -1.3809523809523816,
"target_ratio": 0.97,
"target_value": -1.33952380952381
} | 12 |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [254, 238], "expectation_value": -3.946342952641631, "params": [0.49250000000000005, -0.18460000000000001, 0.49150000000000005, -0.2162, 0.7421, 0.042, 0.7522000000000001, 0.0267, 0.7705000000000001, 0.0345, 0.7684000000000001, 0.0392, 0.7615000000000001, 0.0412, 0.7645000000000001, 0.028900000000000002, 0.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
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,
1,
1,
1,
1,
1,
1,
1,
1
] | 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 |
4421c497e819297a0c75498974257550 | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [228, 236], "expectation_value": -31.95434116845696, "params": null, "bitstrings": ["100011011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.11080866571921213, 0.13523567582035137], "optimization_time": 186.18033981323242} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10065772740106636) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10065772740106636) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10065772740106636) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.10065772740106636) q[2];
cx q[0], q[2]... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1246) 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] = m... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
6.5,
16.5,
19,
12,
4.5,
6.5,
9.5,
3.5
] | 0.797639 | [
0.10065772740106636,
-1.7628013311861233,
0.884909477620434,
-1.7245099828185126,
-1.7325881042059148,
-1.725404804168548,
-1.7480658767147619,
1.235349101595457,
1.2765281978103793,
-0.9463188803394292,
1.2890332574700256,
-1.484332673818375,
0.2873659630782772,
-1.4837124399853814,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 500 |
cf9a1540b011355d554ff1ed574e9153 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [164, 172], "expectation_value": -2.600053073130824, "params": [0.5995, 0.602, 0.12610000000000002, 0.12610000000000002, 0.5976, 0.603, 0.11040000000000001, 0.10930000000000001, 0.40940000000000004, 0.41450000000000004, 0.5979, 0.605, 0.0014, 0.002, 0.0036000000000000003, 0.0012000000000000001, 0.59720000000... | 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)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 13 | 8 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010011"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIIZZIIZ",
"IIZIZIII",
"IIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIZII",
"ZIZIIZII",
"ZZIIIZII",
"ZZZIIIII",
"ZZZIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
-0.25,
0.125,
-0.25,
-0.25,
-0.125,
-0.625,
-0.625
] | 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 |
925684533b4e31edada01d4959cea14e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [185, 57], "expectation_value": -5.236375023535458, "params": [0.1484, -0.056900000000000006, 0.14200000000000002, -0.057100000000000005, 0.0007, 0.15860000000000002, 0.0051, 0.18180000000000002, 0.3042, 0.0002, 0.3032, 0.0426, 0.257, 0.0076, 0.2564, 0.0026000000000000003, 0.30670000000000003, -0.0001, 0.304... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -2.0 * Z(6) + ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01010110", "11000110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.01470939381216571) q[0];
rz(-0.25416828870656794) q[0];
rx(0.13587052285822163) q[1];
rz(0.13295160808568107) q[1];
cx q[1], q[0];
rz(0.09827471554522435) q[0];
cx q[1], q[0];
rz(1.2098111194378243) q[0];
ry(0.02496708793819327) q[0];
rz(-1.6444888620915703) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIZIIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-2,
-2,
-1.5,
-0.5,
0,
-0.5
] | 0.975355 | [
0.01470939381216571,
-0.1558935731613436,
0.13587052285822163,
0.13295160808568107,
0.2870858611536018,
-0.08666241542008846,
0.5616101487944903,
-0.14230483876695776,
0.2952017984387843,
-0.12335223764008402,
0.13969774897909537,
0.3884602622227632,
-0.055175757640548044,
0.01612505930701... | {
"n_parameters": 133,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
875432ff472df3f44dd39cf730465f12 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6},... | {"states": [2047, 1023], "expectation_value": -2.6091821632321293, "params": [[-0.059800000000000006], [0.06570000000000001]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 10, "probabilities": [0.0010862950812816153, 0.00110345670356154], "optimization_time": 3.8114593029022217} | -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -2... | 1 | 11 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-1.7054582287625015) q[0];
h q[1];
ry(0.557117933089589) q[1];
h q[2];
ry(0.557117933089589) q[2];
h q[3];
h q[4];
ry(0.580457539941332) q[4];
h q[5];
h q[6];
ry(0.8151301971343958) q[6];
h q[7];
ry(0.13114309895117693) q[7];
h q[8];
ry(0.7804193982905817) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIIIIZIZIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIIIIZZII",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIZIIIIII... | [
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
-2,
-2.5,
-2,
-2.5,
1,
-2.5,
1,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.924178 | [
1.114235866179178,
1.6302603942687917,
1.5608387965811634,
0.26228619790235386,
1.9094237898753192,
-0.19306760958541364,
-0.4857301434265193,
-0.10006014406834014,
1.4410019044417655,
-2.44931597166335,
0.6239127073981797,
1.234535953749743,
1.3881742430674677,
0.04415719719620012,
0.07... | {
"n_parameters": 92,
"n_qubits": 11,
"optimal_eigenvalue": -37,
"target_ratio": 0.97,
"target_value": -35.89
} | 500 |
-677105388646429783 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 6, 7, 10, 11], [0, 1, 2, 5, 6, 7, 8, 9], [0, 2, 3, 7, 8, 10], [0, 3, 5, 6, 8, 9, 10, 11], [0, 1, 4, 5, 6, 8, 9, 11], [0, 2, 4, 8, 9], [0, 4, 5, 7, 8, 9, 10], [8, 2, 4, 6], [0, 1, 2, 3, 5, 7, 9, 10], [0, 1, 2, 3, 5, 6, 7, 11], [0, 6, 7, 9, 10, 11... | {"states": [1532, 1534], "expectation_value": -2.420983054989021, "params": [[[0.0079, 0.0043, 0.0098, 0.0055000000000000005], [1.4715, -0.0018000000000000002, 0.8324, 0.0007], [0.8662000000000001, 0.0099, 0.0086, 0.0035], [-0.0027, -0.653, 1.5682, 0.008700000000000001], [3.1446, 0.0079, 0.0006000000000000001, 0.0081],... | 0.11071428571428571 * (Z(0) @ Z(3)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.11547619047619048 * (Z(4) @ Z(0)) + 0.05952380952380952 * (Z(6) @ Z(3)) + 0.12857142857142856 * (Z(6) @ Z(0)) + 0.125 * (Z(6) @ Z(4)) + 0.09285714285714286 * (Z(7) @ Z(3)) + 0.16785714285714284 * (Z(7) @ Z(0)) + 0.06547619047619047 * (Z(7) @... | 12 | 12 | 1 | {"smallest_eigenvalues": [-2.6273809523809515], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.59047619047619, "smallest_bitstrings": ["101000000001"], "largest_eigenvalue": 14.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.05187215324195503) q[0];
rz(-0.3095773829416477) q[0];
ry(1.4839079641416055) q[1];
rz(0.13575962092552973) q[1];
cz q[1], q[0];
ry(1.525303781580766) q[1];
ry(0.21458855211084765) q[2];
rz(-0.2041909139202597) q[2];
ry(0.17173352599267433) q[3];
rz(-0.6379598128... | 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": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IZIIIIIIZIII",
"IZIIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIIZIIIIII",
"IZIIZIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIZI... | [
0.11071428571428571,
0.023809523809523808,
0.11547619047619048,
0.05952380952380952,
0.12857142857142856,
0.125,
0.09285714285714286,
0.16785714285714284,
0.06547619047619047,
0.09285714285714286,
0.09285714285714286,
0.15,
0.06547619047619047,
0.0988095238095238,
0.14999999999999997,
... | 0.971353 | [
-0.05187215324195503,
-0.3095773829416477,
1.4839079641416055,
0.13575962092552973,
0.21458855211084765,
-0.2041909139202597,
0.17173352599267433,
-0.6379598128236855,
3.047027753151046,
0.06736554236100561,
0.6446723985760443,
3.235371877472975,
-0.059888940913973565,
0.12508184955210933,... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -2.6273809523809515,
"target_ratio": 0.97,
"target_value": -2.548559523809523
} | 9 |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [23, 17], "expectation_value": -0.4991708053143052, "params": [[-0.057800000000000004], [0.060200000000000004]], "bitstrings": ["101000", "101110"], "total_optimization_steps": 10, "probabilities": [0.01875810481559699, 0.01911177252550294], "optimization_time": 1.2418842315673828} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-2.7026747242885296) q[0];
ry(0.04369070613606717) q[0];
rz(-2.3989077382019692) q[0];
rz(1.2390313594475595) q[1];
ry(2.7029776244779247) q[1];
rz(-1.8931095271762974) q[1];
rz(1.2296356242845414) q[2];
ry(0.07252810464454057) q[2];
rz(-0.8196100966248716) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] | 0.983616 | [
-0.10851937358898682,
0.4487744318096143,
1.03540924260132,
-0.08402551519855138,
0.11521988296733376,
0.42557088328310494,
-0.050850343758797184,
0.2581494561174059,
-0.14082975527251856,
0.5348791684932794,
0.6541134772230921,
-0.015841090960918423,
0.10336452295257065,
0.568926069772383... | {
"n_parameters": 34,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
-8838397356812183790 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 11, 4, 7], [0, 4, 5, 6, 7, 8, 9, 10, 11], [0, 1, 2, 4, 5, 6], [1, 2, 3, 6, 7, 8, 9, 10, 11], [0, 1, 5, 9, 10, 11], [1, 2, 3, 4, 6, 11], [0, 1, 2, 5, 9, 11], [8, 9, 2, 4], [0, 1, 2, 3, 6, 7, 8, 11], [0, 1, 3, 5, 6, 7, 8, 10, 11], [0, 2, 3, 4, 5, 8, 11]... | {"states": [1982, 1978], "expectation_value": -2.47909850020546, "params": [[[1.1801000000000001, 0.4277, 0.004, 0.0043], [0.7110000000000001, 0.4277, 0.336, 0.008], [1.1975, -0.029500000000000002, 1.1989, 0.0045000000000000005], [0.8354, -0.33790000000000003, 0.5371, 0.0053], [1.189, 0.0162, 1.1899, 0.0078000000000000... | 0.24841269841269836 * (Z(4) @ Z(3)) + 0.1722222222222222 * (Z(6) @ Z(3)) + 0.3916666666666666 * (Z(6) @ Z(4)) + 0.16785714285714284 * (Z(9) @ Z(3)) + 0.17341269841269838 * (Z(9) @ Z(4)) + 0.21388888888888885 * (Z(9) @ Z(6)) + 0.16507936507936505 * (Z(0) @ Z(3)) + 0.13730158730158729 * (Z(0) @ Z(4)) + 0.1388888888888889... | 11 | 12 | 1 | {"smallest_eigenvalues": [-3.6130952380952377], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5988095238095217, "smallest_bitstrings": ["100001000101"], "largest_eigenvalue": 18.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.03850277361962992) q[0];
rz(0.8066993387262713) q[0];
ry(0.04064255829951293) q[1];
rz(0.8066993387262713) q[1];
cx q[1], q[0];
ry(0.18368230724002776) q[1];
rz(-0.996729806197501) q[1];
ry(1.4612118603613893) q[2];
rz(0.04318063806384677) q[2];
ry(0.0065253720548... | 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": []} | [
"IIIIIIIZZIII",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIZIIIIIZIII",
"IIZIIIIZIIII",
"IIZIIZIIIIII",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIZIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"IIIIZIIIIIIZ",
"IIIZIIIIZIII",
"IIIZIIIZIIII",
"IIIZIZIII... | [
0.24841269841269836,
0.1722222222222222,
0.3916666666666666,
0.16785714285714284,
0.17341269841269838,
0.21388888888888885,
0.16507936507936505,
0.13730158730158729,
0.1388888888888889,
0.10674603174603176,
0.19444444444444442,
0.16666666666666666,
0.20555555555555555,
0.16944444444444445,... | 0.970701 | [
0.03850277361962992,
0.8066993387262713,
0.04064255829951293,
1.4612118603613893,
0.04318063806384677,
0.006525372054817277,
-0.21343859342115368,
1.354563566350637,
-0.11873409114417321,
1.5179284265193882,
0.3230929544772873,
1.645359349563426,
-0.05459409578141704,
0.1762685936913989,
... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -3.6130952380952377,
"target_ratio": 0.97,
"target_value": -3.5047023809523803
} | 47 |
2783967b1611213b3e7795654a08824b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [123, 91], "expectation_value": -1.5648605739279446, "params": [0.3866, 0.5774, 0.3766, 0.6855, 0.996, -0.1136, 0.7611, 0.07780000000000001, 0.9993000000000001, 0.2204, 1.0024, 0.0092, 0.0029000000000000002, -0.7205, 1.0047000000000001, 0.0027, 1.0030000000000001, 0.0004, 0.37620000000000003, 0.0062000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(0) @ Z(2) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 16 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.375, "smallest_bitstrings": ["010100110", "011000101", "011000110", "010010110", "100100101", "011100100", "011001100", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4476455626952967) q[0];
h q[1];
ry(1.4476455626952967) q[1];
h q[2];
ry(-0.059126059586819345) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.09486143994178287) q[3];
cx q[1], q[3];
ry(0.008187482699304706) q[3];
h q[4];
ry(-1.6038831393838435) q[4];
ry(-0.0591260... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIZZIIIII",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIIZIZ",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIZIII",
"ZIIZIZIII",
"ZZIIIZIII",
"ZZIZIIIII",
"ZZIZIZIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
0,
0.125,
0,
-0.125,
-1,
0.125,
0.125
] | 0.996122 | [
-1.6038831393838435,
-1.4168088272662944,
1.4476455626952967,
-1.1273306452707597,
0.7286646700863632,
-0.18972287988356573,
-0.36076103541921345,
0.3420029579089602,
-0.42645300423253624,
0.2659988647826904,
-0.04303709360162987,
0.09904893961194784,
0.1611605001101052,
0.1474386520393811... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
d7c6790c5da24a95b7d7ccc603696be1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3819, 3811], "expectation_value": -2.093726370469842, "params": [[[1.9081000000000001, 0.0085], [1.9020000000000001, 0.0027], [1.8979000000000001, 0.0082], [-0.002, 0.0057], [1.9092, 0.0], [1.9008, 0.0078000000000000005], [1.9091, 0.0077], [1.0828, 0.0098], [1.4945000000000002, 0.006], [-0.0025, 0.0041], [1... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.1875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1875, "smallest_bitstrings": ["000100011100"], "largest_eigenvalue": 6.8125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(-2.042576511166878) q[0];
ry(2.9516185610359154) q[0];
rz(0.9781812174355657) q[0];
rz(-0.7595970554423728) q[1];
ry(2.9344144666440464) q[1];
rz(2.0332187945667615) q[1];
rz(2.129448041129489) q[2];
ry(2.8498789489908316) q[2];
rz(-0.012973239456647967) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.970928 | [
2.0007015295531945,
0.08890450790596802,
1.5831877681804842,
-0.1509953414846304,
1.779806099617345,
0.17032497022569815,
-0.08618477898821827,
0.007610363035226941,
1.3953517357996654,
0.3569678024150195,
1.6288887677370536,
0.06255476142738838,
1.6586728641093669,
0.03370624834174879,
... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -5.1875,
"target_ratio": 0.97,
"target_value": -5.031874999999999
} | 37 |
1cf62c7ab33fc7566dad05641a882509 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [88, 81], "expectation_value": -5.496464078848119, "params": null, "bitstrings": ["0100111", "0101110"], "total_optimization_steps": 29, "probabilities": [0.06634840540307821, 0.930366246109199], "optimization_time": 25.19155526161194} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(2) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101110", "0100111", "1011001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.5205687494505836e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-3.5205687494505836e-08) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-3.5205687494505836e-08) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-3.520568749... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"ZIIIIZI",
"ZZIIIII",
"ZIIZIII",
"IIZIZII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-1,
-1.5,
-1.5,
-1
] | 0.727273 | [
-3.5205687494505836e-8,
1.5707963620190255,
-1.570796337047965,
1.1245655931830818e-8,
1.5707962720945496
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 160 |
d55d504e597705d8581d37ec0d2e41ca | 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": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [45, 63], "expectation_value": -4.247536484564604, "params": null, "bitstrings": ["1010010", "1000000"], "total_optimization_steps": 53, "probabilities": [0.2457050176544659, 0.7519615756918091], "optimization_time": 51.04851293563843} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | 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(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
68c7da6fdb681219b05150137870d7db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [0, 1], "expectation_value": -2.8745419563734913, "params": [[[-0.0001, 0.30770000000000003], [0.0011, 0.4315], [0.0024000000000000002, 0.4379], [0.6099, 0.0034000000000000002]], [[-0.0079, 0.34340000000000004], [0.0044, 0.46680000000000005], [0.0039000000000000003, 0.45470000000000005], [0.6086, 0.003400000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
422319ba04d136ad73513dac1d0065c7 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1653, 1767], "expectation_value": -11.820373282054835, "params": [[-0.10200000000000001, -0.2364, -0.4132, -0.5961000000000001], [0.6437, 0.35900000000000004, 0.1888, 0.1358]], "bitstrings": ["100110001010", "100100011000"], "total_optimization_steps": 80, "probabilities": [0.051199833110038895, 0.056255085... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"], "largest_eigenvalue": 29.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5166574351848524) q[0];
rz(1.427206026017565) q[0];
rx(0.6652927820984921) q[1];
rz(1.6153204929972311) q[1];
rx(2.5306334617267017) q[2];
rz(1.1988742149468248) q[2];
rx(-0.008157283247904035) q[3];
rz(1.0151177535238425) q[3];
rx(1.154890385314211) q[4];
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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZI... | [
-1,
0.5,
-0.5,
0.5,
-0.5,
1,
0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
1,
-1,
4,
4,
1.5,
-0.625,
3,
0.5,
2.25,
2.25,
0.5,
-0.125
] | 0.971317 | [
-0.5166574351848524,
-0.14359030077733115,
0.6652927820984921,
0.044524166202335104,
2.5306334617267017,
-0.3719221118480718,
-0.008157283247904035,
-0.5556785732710541,
1.1548903853142112,
0.15156788401350937,
1.981656772672947,
-0.14850940033601542,
1.1883051429482772,
-0.061917510887196... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -12.875,
"target_ratio": 0.97,
"target_value": -12.48875
} | 97 |
cf37919d6a949ddf46d1ba52baad11a7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [33, 97], "expectation_value": -4.640353621905973, "params": [[[1.6079, 0.008700000000000001], [1.7078, 0.0092], [-0.0028, 0.0092], [1.5319, 0.0097], [-0.0033, 0.0004], [-0.0024000000000000002, 0.0039000000000000003], [1.7140000000000002, 0.003]]], "bitstrings": ["1011110", "0011110"], "total_optimization_st... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -1.5 * Z(0) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0011110", "1010110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) q[4];
rz(... | 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[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-2,
-2,
0,
-0.5
] | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
4cd28f9bc761b26f6d6f15aeccbaedea | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [14, 78], "expectation_value": -2.677078902663567, "params": [[[0.0256, 0.011600000000000001, 0.0028, 0.0039000000000000003], [0.9106000000000001, -0.0047, 0.8005, -0.004], [0.8798, 0.0035, -0.7647, 0.0046], [0.2484, 0.0059, 0.8991, 0.0049], [0.9005000000000001, 0.0044, 0.8991, 0.07930000000000001], [0.5631,... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(5) @ Z(1)) + -0.125 * (Z(7) @ Z(5) @ Z(1)) + -0.125 * (Z(6) @ Z(7) @ ... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110100", "10110010", "10110001", "11011000", "11010001", "11001100", "10101100", "11110000"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZZIII",
"IIZIZIII",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIZI",
"ZIZIIIZI",
"ZZIIIIZI",
"ZZZIIIII",
"ZZZIIIZI",
"IIIZIZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIZIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.125,
-0.25,
-0.5,
-0.25,
-0.125,
-0.125,
0.125
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
-5005985748861774082 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 5], [5, 6], [0, 1], [8, 6], [2, 3], [2, 4], [1, 7], [8, 4], [3, 4], [8, 1], [0, 7], [8, 2], [2, 7], [9, 2], [9, 7], [1, 2], [0, 8]]} | {"states": [214, 86], "expectation_value": -0.4925454558847028, "params": [0.6856, -0.0882, 0.6381, 0.004, 0.7061000000000001, 0.0031000000000000003, 0.7025, 0.0049, 0.6969000000000001, 0.005200000000000001, 0.6996, 0.0054, 0.7090000000000001, 0.0206, 0.7004, 0.0095, 0.6968000000000001, -0.017400000000000002, 0.6950000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-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], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110101001", "1110101000", "0010010110", "1100101001", "0101010111", "1101101001", "0101010011", "0101010110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] 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(0.5255481528239808) q[0];
cx q[5], q[0];
cx q[0], q[1];
rz(0.5255481528239808) q[1];
cx q[0], q[1];
h q[6];
cx q[5], q[6];
rz(0.5255481528239808) q[6];
cx q[5], q[6];
rz(6.234538041383075e-08) q[5];
rx(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIIIIIIZZ",
"IZIIIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIZI",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIIIIIZZII",
"IZIIIZIIII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIZIIIIZII",
"ZIIIIIIZII",
"ZIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIZIIIIII"... | [
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
] | 0.496557 | [
0.5255481528239808,
6.234538031587168e-8,
-0.6667273093054111
] | {
"n_parameters": 3,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 98 |
e7056fbb187e68baa5d05b0b9cb6a901 | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [157, 109], "expectation_value": -0.003125719140773379, "params": [[-0.0167], [0.0149]], "bitstrings": ["01100010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.003933370926699901, 0.003933370926699902], "optimization_time": 4.240633726119995} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "10010010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIZZIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIZZIZI",
"ZIIIZIZI",
"ZIIZIIZI",
"ZIIZZII... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.125,
-0.125,
-0.125,
0.25,
0.125,
-0.75,... | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [58, 102], "expectation_value": -2.8905700275954436, "params": null, "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 42, "probabilities": [0.08381860736615872, 0.6201950117718926], "optimization_time": 55.583540201187134} | 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 | 3 | {"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... | 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"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 |
d3afc618b7dbe8b32f310fdf84749e1a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [169, 185], "expectation_value": -2.877277322060459, "params": [[-0.0118, 1.2074, -0.032100000000000004, 1.2039, 0.41340000000000005, 1.1962000000000002, 0.002, 0.0013000000000000002, 1.1624], [-0.0001, 0.8048000000000001, 0.003, 0.5850000000000001, -0.1287, 0.5604, 0.0018000000000000002, 0.00240000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 10 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["001110100", "001001110", "001010110", "001100110", "100000111", "100001110", "010001110", "101000110"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10744767680386966) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.10744767680386966) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.10744767680386966) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IZIIIZIII",
"IZIIZIIII",
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIZIIIIZI",
"... | [
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,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
-0.125,
-0.125,
0.125,
-0.75,
-0.5,
0
] | 0.932809 | [
0.10744767680386966,
-1.4767901991027308,
-0.833143966371636,
-0.01219406791514734,
0.6976046154172691,
-1.491648375221724,
0.7470776778598038,
-1.7324742201717185,
-1.1304502361409419,
-1.3608082420526102,
-0.3865911164064282,
0.6593258092663152,
2.894466573482227,
-1.5283276206684517,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 500 |
0576f6308603f18731ff58dc6a3ed219 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3414, 3422], "expectation_value": -2.8289452961842447, "params": [[[0.4718, 0.00030000000000000003], [0.7909, 0.0131], [0.0026000000000000003, 0.0033], [0.6103000000000001, 0.029], [0.042100000000000005, 0.0455], [0.9608000000000001, 0.0064], [0.25730000000000003, -0.0892], [0.1612, 0.7551], [0.921, 0.32030... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2781849421185363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.2781849421185363) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.2781849421185363) q[2];
cx q[1], q[2];
rz(0.2781849421185363) q[4];
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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIIZZIIIZ",
"IIIIIIZZZIII",
"IIIIIIZZZIIZ",
"IIIIIZIIZIII",
"IIIIZIIIZIII",
"IIIZIIIIZ... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.2... | 0.641713 | [
0.2781849421185363,
-1.0227487688265837,
-0.6583764467071487,
-0.9349393255613208
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 117 |
feaf30b79c91a036f216c182772bdb1d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [60, 252], "expectation_value": -0.3479950908571561, "params": [[-0.0434], [0.052000000000000005]], "bitstrings": ["11000011", "00000011"], "total_optimization_steps": 10, "probabilities": [0.004664324091504002, 0.0047472779739883356], "optimization_time": 0.5522868633270264} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.6880001825840584) q[0];
h q[1];
cx q[1], q[0];
ry(-0.6880001825840584) q[0];
cx q[1], q[0];
ry(0.5494202574096909) q[1];
cx q[0], q[1];
ry(-0.5494202574096909) q[1];
cx q[0], q[1];
h q[2];
ry(0.011133946782301766) q[2];
h q[3];
ry(1.9661753510022562) 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[3], q... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1,
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.964834 | [
0.02226789356460353,
2.8818319024337766,
-0.8942463794901929,
3.178663541717695,
3.9323507020045123,
-1.257886419085656,
-1.5772014760986535,
1.3760003651681167,
1.0988405148193818,
-1.1868547387115274,
-0.9947629393548405,
-0.056348868541210614,
-0.02223055365976749,
-0.33130717160864015,... | {
"n_parameters": 35,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 500 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -9.49998088741361, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 18, "probabilities": [1.2623551093771558e-05, 0.9999867275426021], "optimization_time": 16.28097176551819} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
b99f0e315d6c4ec38babd2628ecf87b6 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [27423, 27487], "expectation_value": -11.811680549316762, "params": [0.3739, 0.0021000000000000003, 0.3839, -0.021, 0.3698, 0.1223, 0.38120000000000004, 0.0008, -0.0045000000000000005, 0.3703, -0.0016, 0.3907, 0.35850000000000004, 0.045200000000000004, 0.3498, 0.053500000000000006, 0.2791, 0.2526, 0.254, 0.2... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(5)) + ... | 7 | 15 | 4 | {"smallest_eigenvalues": [-13.166666666666558], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.16666666666653, "smallest_bitstrings": ["001010010100000"], "largest_eigenvalue": 28.166666666666647} | 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[0];
rz(-0.6251339180222817) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.3154365803553768) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(-0.3154365803553768) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(-0.6251339180222... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZIII",
"IIIIIIIIIIZZIII",
"IIIIIZIIIIZIIII",
"IIIIIIIIIZIZIII",
"IIIIIZIIIZIIIII",
"IIIIIIIIIZZIIII",
"IIIIIIIZIIIZIII",
"IIIIIZIZIIIIIII",
"IIIIIIIZIIZIIII",
"IIIIZZIIIIIIIII",
"IIIIZIIIIZIIIII",
"IIIIZIIZIIIIIII",
"IIIZIZIIIIIIIII",
"IIIZIIIIIZIIIII",
"IIIZIIIZIIIIIII",
"... | [
-0.5,
1,
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0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
1,
0.5,
0.5,
0.5,
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0.5,
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0.5,
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0.5,
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0.33333333333333337,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5... | 0.522241 | [
-0.6251339180222817,
0.9163473416171956,
-0.3154365803553768,
0.8098800397262919,
-1.0007381683901269,
1.2402565320189738,
-1.0128218293180618
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 196 |
da3c81488557dc57e6e1f0bd43d65336 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 41], "expectation_value": -2.999862368845878, "params": null, "bitstrings": ["010101", "010110"], "total_optimization_steps": 28, "probabilities": [1.7185116648684505e-05, 0.9999311603755043], "optimization_time": 18.636574506759644} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -5.675579468999118, "params": null, "bitstrings": ["111110", "110000"], "total_optimization_steps": 37, "probabilities": [0.17610784862410456, 0.6204813298798018], "optimization_time": 25.094221353530884} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(7.90274469494533e-08) q[0];
ry(-0.7853982620761846) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2293320178321785) q[2];
h q[3];
ry(0.7853981303022892) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853981303022892) q[3];
cx q[4], q[3];
ry(0.6154797374613742) q[4];
cx q[3], q[4];
r... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-1.25,
-1.25,
1.25,
-0.75,
-1,
-0.25,
0,
0.25,
0.5,
0.5
] | 0.961538 | [
1.580548938989066e-7,
1.5707962936941358,
-1.5707964113743622,
1.5707962606045784,
1.2309594749227484,
2.458664035664357,
-6.36184063154341e-8,
-0.7758827152746062,
0.6829287142011918,
-0.7949136334328287,
-0.6410930540584571,
-0.852030693606311,
0.6410931018832451,
0.5966596957061975,
0... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 341 |
2147549698924339793 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 3, 4, 7], [8, 10, 3, 6], [0, 2, 3, 4, 5, 7, 10], [0, 2, 4, 6, 7, 8, 10], [1, 3, 6, 7, 8, 9]]} | {"states": [1997, 1485], "expectation_value": -1.0444599760407431, "params": [2.0372, 1.1125, 0.9688, 0.7765000000000001, 1.5702, 1.5651000000000002, 2.9094, 3.3204000000000002, 0.5096, 2.2034000000000002, 1.9916, 1.1652, 1.0158, 0.42450000000000004, 1.5946, 1.5541, 1.6275000000000002, 1.5098, 1.5692000000000002, 1.567... | 0.11666666666666667 * (Z(10) @ Z(4)) + 0.10714285714285714 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.14047619047619048 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(8) @ Z(10)) + 0.13095238095238093 * (Z(8) @ Z(5)) + 0.11666666666666667 * (Z(9) @ Z(4)) + 0.03333333333333333 * (Z(9) @ Z(10)) + 0.0238095238... | 14 | 11 | 1 | {"smallest_eigenvalues": [-1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.0809523809523809, "smallest_bitstrings": ["000100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.7299300001205045) q[0];
rz(pi/2) q[0];
ry(0.942314435778022) q[1];
ry(1.466467721090635) q[2];
ry(2.8584455077051363) q[3];
ry(0.646704305542141) q[4];
ry(2.0675283903773094) q[5];
ry(0.8216079313708452) q[6];
ry(1.4321169366398248) q[7];
ry(1.6756941299690067) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZIIII",
"IIIIIZZIIII",
"ZIIIIZIIIII",
"IIZIIIZIIII",
"ZIZIIIIIIII",
"IIZIIZIIIII",
"IZIIIIZIIII",
"ZZIIIIIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIZIIIIIZII",
"IZIIIIIIZII",
"IIIZIIZIIII",
"ZIIZIIIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IZIZIIIII... | [
0.11666666666666667,
0.10714285714285714,
0.08333333333333333,
0.14047619047619048,
0.11666666666666667,
0.13095238095238093,
0.11666666666666667,
0.03333333333333333,
0.023809523809523808,
0.05714285714285714,
0.10714285714285714,
0.047619047619047616,
0.047619047619047616,
0.107142857142... | 0.970479 | [
1.7299300001205045,
0.942314435778022,
1.466467721090635,
2.8584455077051363,
0.646704305542141,
2.0675283903773094,
0.8216079313708452,
1.4321169366398248,
1.6756941299690067,
1.6006579453801326,
1.5029932786545646,
0.35885886901211983,
-0.18034666251149573,
0.6540324370851417,
-0.28357... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -1.080952380952381,
"target_ratio": 0.97,
"target_value": -1.0485238095238096
} | 17 |
f619afa25c1921f996d128a1dfefef72 | 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": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [10, 8], "expectation_value": -2.24993851164622, "params": [0.0009000000000000001, 0.3129, 0.3925, -0.00030000000000000003, 0.0043, 0.30820000000000003, 0.39480000000000004, -0.0013000000000000002, 0.0016, -0.21660000000000001, 0.0058000000000000005, 0.2934, 0.3952, -0.0012000000000000001, -0.0004, 0.3024, 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(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 18 | 5 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["11101", "10111"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIZI",
"ZZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-1
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
65dcfe454b7ee3089a438819f0891890 | 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": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capac... | {"states": [149, 133], "expectation_value": -4.283127375702088, "params": [[0.15480000000000002], [-0.1501]], "bitstrings": ["1101101010", "1101111010"], "total_optimization_steps": 20, "probabilities": [0.0042043229165957124, 0.004535351802507711], "optimization_time": 3.036454439163208} | -1.0 * (Z(0) @ Z(6)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(2)) + -1.0 * (Z(8) @ Z(6)) + -1.25 * (Z(8) @ Z(1)) + -0.25 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1101111010"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] 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(-0.309615364532523) q[0];
cx q[6], q[0];
cx q[6], q[4];
rz(-0.09857018044787606) q[4];
cx q[6], q[4];
cx q[4], q[1];
rz(-0.3672270223373449) q[1];
cx q[4], q[1];
cx q[1], q[5];
cx q[4], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} | [
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIZIIZIII",
"IIIIIZZIII",
"IIIIIIZZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IZIZIIIIII",
"IZIIIIIIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIIIIZII",
"ZIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIZIIII"... | [
-1,
-0.5,
-1.25,
-0.75,
-1,
-1.25,
-1,
-1.25,
-1.5,
1.25,
-1.25,
-1,
-1.25,
-0.25,
-1.25,
-0.25,
-0.5,
1.5,
-0.25,
-1,
-0.5,
-2.75,
3.25,
-2.25,
-0.5,
0.25,
2.25
] | 0.610788 | [
-0.309615364532523,
-0.09857018044787606,
-0.3672270223373449,
-0.406123341142727,
-0.36373264381235254,
1.303311175175727,
-0.06089976248341442,
1.2113969186843552,
-0.9327037666105786,
0.9039537963740991,
-0.7581812262643841,
1.13125981106711,
1.3357084053048838,
-1.0099366685479032
] | {
"n_parameters": 14,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 303 |
88db82b281e553a316057249c291c2f0 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1706, 1722], "expectation_value": -2.3887553028878976, "params": [[0.7614000000000001, 1.3935, -0.028300000000000002, 1.2385000000000002, -0.1308, 1.1228, 0.5526, 1.1360000000000001, 0.0038, 1.3214000000000001, -0.1221], [0.08460000000000001, 0.2152, -0.0889, 0.8394, 0.0273, 0.6537000000000001, -0.1303, 0.6... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 10 | 11 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.25, "smallest_bitstrings": ["01001000101", "00101011000", "00110000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.02901302368530102) q[0];
rz(-0.2598228595523726) q[0];
rx(0.41948779045408124) q[1];
rz(-0.20717763396566863) q[1];
rx(0.5962678599760157) q[2];
rz(0.18054622282290922) q[2];
rx(1.2074841165746684) q[3];
rz(0.15055545469075332) q[3];
rx(0.5108577597682668) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIZIIIZIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IIZZIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25... | 0.974228 | [
0.029013023685301023,
-0.37467712167214084,
0.41948779045408124,
-0.20717763396566863,
0.5962678599760157,
0.18054622282290922,
1.2074841165746684,
0.15055545469075332,
0.5108577597682668,
-0.4453880594579994,
0.6564683963198464,
0.012170322637544778,
0.6145666603714796,
0.2942868746902721... | {
"n_parameters": 128,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 86 |
167de87ac8ecd264944bce456eb0ffa8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [508, 511], "expectation_value": -7.931876768035929, "params": null, "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.09140380623596621, 0.2740614582646643], "optimization_time": 173.45872497558594} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.57079638744405) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.57079638744405) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-5.372834621653055e-09) q[1];
rx(1.5707963333198056) q[1];
rz(1.5707963216026855) q[2];
cx q[0], q[2];
rz(-1.52083... | null | {"node": 2} | {"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[1], 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... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2,
-2,
0.5,
-1,
-1,
-1,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.95 | [
1.57079638744405,
1.5707963216026855,
3.141592633243659,
-5.372834660536401e-9,
-1.5208323011381827e-8,
1.5707963333198056
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 197 |
9af56dc8b085acec47a9c949eca371d2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [8191, 8159], "expectation_value": -20.156927320776333, "params": [[[-0.0025, 2.7035], [-0.0032, -0.0028], [-0.0034000000000000002, -0.0031000000000000003], [-0.003, -0.0031000000000000003], [-0.0029000000000000002, -0.003], [-0.003, -0.0031000000000000003], [-0.0025, -0.0031000000000000003], [1.629400000000... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(9)) + 0.5 *... | 15 | 13 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000100000"], "largest_eigenvalue": 32.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.07298377411126655) q[0];
ry(-0.022661413491178246) q[1];
ry(-0.02988483862256828) q[2];
ry(-0.03781462426619099) q[3];
ry(-0.11735896262082152) q[4];
ry(-0.03781462426619099) q[5];
ry(0.07298377411126655) q[6];
ry(2.383551310451092) q[7];
ry(-0.02591800720052696) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIZIII",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIZIIZIIIIII",
"IIIIIZZIIIIII",
"IIIZZIIIIIIII",
"IIIIZIZIIII... | [
-3,
0.5,
-2.5,
1,
-3,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2,
1,
-2,
-2,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.970556 | [
0.07298377411126655,
-0.022661413491178246,
-0.02988483862256828,
-0.03781462426619099,
-0.11735896262082152,
2.383551310451092,
-0.02591800720052696,
-0.08211168169038566,
-0.09399491697770879,
-0.08632216563745562,
3.0692410937873706,
0.037704690176456335,
0.010109449109051871,
-0.021351... | {
"n_parameters": 17,
"n_qubits": 13,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 14 |
b305367bc2e2ddaa066fe8b84210618a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -30.982905105935554, "params": null, "bitstrings": ["10000001", "10010001"], "total_optimization_steps": 100, "probabilities": [0.10121528844246899, 0.1241208627827555], "optimization_time": 178.36052870750427} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2364115448940784e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[0], q[2];
rz(1.5707962546560008) q[0];
rx(1.5707963244966565) q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
1.5,
15.5,
13,
15,
13,
10,
6.5
] | 0.915441 | [
-1.2364115448940784e-8,
-1.570796288521854,
1.570796254656001,
-1.5707962902301755,
-2.293530648554822,
-1.5707963341692412,
-1.570796326359869,
1.570796377596495,
1.5707963244966565
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 231 |
-6486720588982531779 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 7], [1, 3], [2, 4], [2, 5], [2, 6]]} | {"states": [176, 206], "expectation_value": -0.036963940129623805, "params": [[-0.052700000000000004], [0.0591]], "bitstrings": ["01001111", "00110001"], "total_optimization_steps": 10, "probabilities": [0.004201706923027196, 0.004201706923027196], "optimization_time": 1.3046419620513916} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001111", "00110001", "11001110", "10110000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.11882291002581881) q[0];
h q[1];
h q[2];
ry(-0.11882291002581881) q[2];
h q[3];
ry(-0.11882291002581881) q[3];
h q[4];
cx q[4], q[3];
ry(0.11882291002581881) q[3];
cx q[4], q[3];
ry(-0.2636411683726303) q[3];
cx q[1], q[3];
ry(0.2636411683726303) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973801 | [
-0.23764582005163762,
1.5795178031601023,
-0.5272823367452606,
1.1843397681518129,
-0.17514126629719784,
-0.3530493025908509,
1.5997633411008816,
1.1595546287062992,
-0.6357335143774046,
0.21338636242958547,
0.8862213149134115,
-0.6816057680165,
0.09226127198270678,
0.10879156050791877,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 31 |
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": -0.17968021964432726, "params": [[-0.048100000000000004, -0.0058000000000000005], [0.0641, 0.0334]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.0171687687619186, 0.01749350131993107], "optimization_time": 2.7007713317871094} | 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 | 2 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"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 |
-3818514027649433192 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5, 6, 7], [1, 3, 5, 6, 7], [0, 3]]} | {"states": [51, 59], "expectation_value": -0.7981082510697524, "params": null, "bitstrings": ["11001100", "11000100"], "total_optimization_steps": 62, "probabilities": [0.1181530670862204, 0.14091266356744625], "optimization_time": 90.05473375320435} | 0.05 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(5)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(2)) + 0.1 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(3) @ Z(5)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, ... | 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[2];
rz(-0.1590179786378379) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.1590179786378379) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.1590179786378379) q[5];
cx q[2], q[5];
h q[6];
cx q[4], q[6];
rz(-0.1590179786378... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], 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... | [
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IZIZIIII",
"IZIIIZII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIZIZIII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.05,
0.05,
0.1,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.1,
0.1,
0.2,
0.2,
0.2,
0.1,
0.09999999999999998,
0
] | 0.900168 | [
-0.1590179786378379,
-0.16639080577623924,
-1.5486029989994958,
-1.1095729514726909,
0.16809237766320695,
0.8227714904968331
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -0.8999999999999999,
"target_ratio": 0.97,
"target_value": -0.8729999999999999
} | 170 |
a209cb26fa5154dbaa2e5c020f2a6e17 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": ... | {"states": [0, 2046], "expectation_value": -25.328706589498307, "params": [[[-0.6368, 0.7737], [-0.0016, 1.3073000000000001], [-0.0027, -0.0036000000000000003], [-0.015300000000000001, -0.0023], [-0.0032, -0.0024000000000000002], [-0.003, -0.003], [-0.0024000000000000002, -0.0024000000000000002], [-0.0022, 0.0016], [0.... | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(11) @ Z(6)) + -0.75 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(11)) + -0.75 * (Z(1) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(1)) + -0.25 * (Z(9) @ Z(2)) + -1.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.75, "smallest_bitstrings": ["100000000001"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.020078297862526295) q[0];
ry(-0.09283805682654026) q[1];
ry(0.09960861945894914) q[2];
ry(-0.08842925177900518) q[3];
ry(-0.20016149315896567) q[4];
ry(0.0015806897639856071) q[5];
ry(-0.031253730061438105) q[6];
ry(-0.04958689506208596) q[7];
ry(-0.1497473057508... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"ZIIIIZIIIIII",
"ZIIIIIIIIIIZ",
"IIIIIZIIIZII",
"IIIIIIIIIZIZ",
"ZIIIIIIIIZII",
"IIIIIZIIIIZI",
"IIIIIIIIIZZI",
"IIIIIZZIIIII",
"IIIIIIZIIIZI",
"IIZIIIIIIZII",
"IIZIIIIIIIZI",
"IIZIIIZIIIII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIZIIIIZIIII",
"ZIIIZIIIIIII",
"IIIIZIIII... | [
-0.75,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-2.5,
-0.5,
-1.5,
-0.25,
-1.25,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.5,
2.5,
-1,
-0.5,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
-1.25,
-1.5,
-0.75,
-1.5,
0,
-0.25,
-3,
0.75,
1,
-0.5,
... | 0.980697 | [
-0.020078297862526295,
-0.09283805682654026,
0.09960861945894914,
-0.08842925177900518,
-0.20016149315896567,
0.0015806897639856071,
-0.031253730061438105,
-0.04958689506208596,
-0.14974730575085596,
0.11311615052346607,
0.07450856944693524,
0.06717064808132893,
3.0009978582419636,
-0.0155... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -27.75,
"target_ratio": 0.97,
"target_value": -26.9175
} | 23 |
47c90a1844bb68a81c49cc01fe4989e8 | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [239, 255], "expectation_value": -20.696450016876874, "params": [[0.0472, 0.0935, 0.1643], [-0.6193000000000001, -0.37160000000000004, -0.1904]], "bitstrings": ["1100010000", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.04868176456999443, 0.04874615720274103], "optimization_time": 12.9... | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 3 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | 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": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
-0.1813424485071628,
1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
3203c9c4e7e8b933779f84556b21ab6b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "targ... | {"states": [0, 16383], "expectation_value": -25.18528356002314, "params": [[[0.0028, 1.6018000000000001], [0.0021000000000000003, 0.003], [0.0016, 0.0023], [0.002, 0.002], [-0.0035, 0.0024000000000000002], [0.0018000000000000002, 0.0027], [0.0018000000000000002, 0.0019], [-0.0029000000000000002, 0.0025], [0.0016, 0.002... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(8) @ Z(9)) + -3.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -... | 15 | 14 | 1 | {"smallest_eigenvalues": [-30.999999999999655], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.999999999999687, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 31.000000000000053} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.08622730192166936) q[0];
ry(0.006101106112201375) q[1];
ry(-0.03724405625521622) q[2];
ry(0.013147845134202179) q[3];
ry(-0.04803827379872591) q[4];
ry(-0.02362190980181307) q[5];
ry(-0.02362190980181307) q[6];
ry(-0.19960145361845547) q[7];
ry(-0.0372440562552162... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZIIZI",
"IIIIIIIIIZZIII",
"IIIIIIZIZIIIII",
"IIIIIIIZZIIIII",
"IIIIIIZZIIIIII",
"IIIIZZIIIIIIII",
"IIIZZIIIIIIIII",
"IIIZIZIIIIIIII",
"IIZIZIIIIIIIII",
"IIZIIZIIIIIIII"... | [
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-2,
-2.5,
-3,
0.5,
-2.5,
0.5,
1,
-2.5,
0.5,
-2.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975199 | [
0.08622730192166936,
0.006101106112201375,
-0.03724405625521622,
0.013147845134202179,
-0.04803827379872591,
-0.02362190980181307,
-0.19960145361845547,
-0.08808895082848081,
0.018168788097421118,
-0.17637998862781273,
3.168363229140139,
0.1284759986268713,
-0.1262342678221889,
-0.14864747... | {
"n_parameters": 17,
"n_qubits": 14,
"optimal_eigenvalue": -30.999999999999655,
"target_ratio": 0.97,
"target_value": -30.069999999999666
} | 21 |
91ee5f0f4255f3e469e33f428a617749 | 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": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 15, "source": 1, "tar... | {"states": [398, 234], "expectation_value": -4.630748099433774, "params": [[0.0412], [-0.030100000000000002]], "bitstrings": ["001110001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.002681786734352331, 0.002852451618209461], "optimization_time": 2.1698567867279053} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 8.5 * Z(0) + 14.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1029303655620119) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1029303655620119) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1029303655620119) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.1029303655620119) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
8.5,
14.5,
12,
3.5,
11.5,
7.5,
13,
3
] | 0.974467 | [
0.1029303655620119,
1.0465998757504669,
0.23951340859321296,
1.8119189140346126,
-0.6838871026721113,
1.1761664275029378,
-0.28379909071408294,
0.5399637562985133,
-1.3515877448197355,
-0.1889742116324448,
-0.11332813777595517,
0.4520013129626884,
-1.7022300146239937,
-0.34242647087101163,... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 66 |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -12.002859679687242, "params": [[[0.0033, 0.0019], [1.6028, 0.0022], [0.0022, 0.0032], [0.0022, 0.0022], [0.0027, 0.009000000000000001], [1.6072000000000002, 0.0061]]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 160, "probabilities": [0.2507952592979479, 0.2... | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x3) q[2];
rz(x4) q[2];
rx... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
4d7217bfad7fde8e3edae459aaed01ff | 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": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 2}, {"capac... | {"states": [512, 511], "expectation_value": -1.0368687314637113, "params": [[-0.0536], [0.0685]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0015983577773195266, 0.001625106772431367], "optimization_time": 3.586791753768921} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.25 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(8)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + 1.5 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 18.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.030555438276657968) q[0];
ry(-0.047752735349508975) q[1];
ry(-0.09421689701710077) q[2];
ry(0.01385087672388263) q[3];
ry(0.009540309847843445) q[4];
ry(-0.10067854510749089) q[5];
ry(0.0215361620605361) q[6];
ry(0.0009657256497644234) q[7];
ry(0.0215361620605361... | 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[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IZIIIIIIIZ",
"IZIIIIIIZI",
"IIIIIIIZZI",
"IIIIIZZIII",
"IZIIIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZIIZII",
"IZIZIIIIII",
"IIIZIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZIIIIIZI"... | [
-0.75,
-0.5,
-0.75,
-1,
-2,
-2.25,
-1.25,
-1.5,
-1.25,
-0.25,
-1,
-0.75,
-0.5,
1.5,
-1.25,
-1.25,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-1.25,
-2.25,
-0.25,
1.5,
1.25,
0.75,
-0.5,
1.5,
1,
-2,
-1
] | 0.973111 | [
-0.030555438276657968,
-0.047752735349508975,
-0.09421689701710077,
0.01385087672388263,
0.009540309847843445,
-0.10067854510749089,
0.0215361620605361,
0.0009657256497644234,
-1.2888601442784375,
0.03300902468914639,
2.2460796668356826,
-0.058071059777329015,
-0.03036371767324013,
-0.0077... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -20.25,
"target_ratio": 0.97,
"target_value": -19.6425
} | 35 |
-5680906425695885737 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 4, 7], [1, 2, 3, 4, 5, 6, 8], [1, 3, 4, 5, 7], [1, 2, 3, 4, 7, 8], [0, 1, 2, 3, 5, 6, 8], [0, 8, 2, 4], [2, 5, 6, 7], [0, 1, 6, 7], [0, 2, 3, 4, 6], [2, 3, 4, 5, 7], [0, 2, 4, 5, 7], [2, 3, 6, 7], [1, 3, 4, 6, 7, 8], [1, 2, 4, 6, 7, 8]]} | {"states": [63, 319], "expectation_value": -2.0666520714412755, "params": [1.0872, 0.0024000000000000002, 1.0864, 0.0047, 1.082, 0.0022, 1.0588, 0.0032, 1.084, 0.0039000000000000003, 1.0859, 0.0033, 1.092, 0.0021000000000000003, 1.0898, 0.006, 1.0936000000000001, -0.0036000000000000003, 1.0953000000000002, 0.0076, 1.09... | 0.19047619047619047 * (Z(0) @ Z(1)) + 0.2571428571428571 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.11428571428571427 * (Z(2) @ Z(1)) + 0.20714285714285713 * (Z(2) @ Z(0)) + 0.3238095238095237... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.9976190476190476], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.95, "smallest_bitstrings": ["011000000"], "largest_eigenvalue": 13.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.2718312618451884) q[0];
rz(1.2924021545859103) q[0];
rx(0.403254455279722) q[1];
rz(1.5044552117998116) q[1];
rx(0.40174342082690057) q[2];
rz(1.3802503805228428) q[2];
rx(1.1687587544955662) q[3];
rz(1.3944938046076665) q[3];
rx(1.9312817106716738) q[4];
rz(1.6625... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"... | [
0.19047619047619047,
0.2571428571428571,
0.26666666666666666,
0.31666666666666665,
0.21666666666666667,
0.3333333333333333,
0.11428571428571427,
0.20714285714285713,
0.32380952380952377,
0.3333333333333333,
0.16428571428571428,
0.07380952380952381,
0.24047619047619045,
0.25,
0.2642857142... | 0.976971 | [
2.2718312618451884,
-0.2783941722089861,
0.40325445527972203,
-0.0663411149950845,
0.40174342082690057,
-0.19054594627205368,
1.1687587544955662,
-0.17630252218722986,
1.9312817106716735,
0.09178555940935595,
1.5176031304865176,
-0.021333025262139718,
1.1781876612695434,
-0.305586910666678... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -2.9976190476190476,
"target_ratio": 0.97,
"target_value": -2.907690476190476
} | 91 |
3789566374932828419 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 3], [2, 3]]} | {"states": [9, 5], "expectation_value": -0.6580632820980629, "params": null, "bitstrings": ["0110", "1010"], "total_optimization_steps": 16, "probabilities": [0.18846786037618055, 0.4229033830896444], "optimization_time": 8.072296857833862} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.39792389473024775) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.39792389473024775) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.3979238947302477) q[1];
rx(0.8231233233489348) q[1];
rz(-0.39792389473024775) q[3];
cx q[0], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IIZZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0
] | 0.755683 | [
-0.39792389473024775,
-1.4568092248069295,
0.34331525183914197,
0.8231233233489348
] | {
"n_parameters": 4,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 122 |
da62bff661bc86873d0aee1ded709754 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [744, 746], "expectation_value": -4.232806573841702, "params": [[[1.0512000000000001, -0.0031000000000000003], [0.0044, -0.8165], [1.0502, -0.0019], [1.0481, -0.0031000000000000003], [1.0472000000000001, 0.0009000000000000001], [-0.002, -0.8619], [1.0501, -0.003], [0.0027, 1.1473], [0.5936, -0.00060000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 10 | 3 | {"smallest_eigenvalues": [-4.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.625, "smallest_bitstrings": ["0100010101"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.369161440919508) q[0];
ry(0.24950722958511654) q[0];
rz(0.899104490224282) q[0];
rz(1.463108752418747) q[1];
ry(2.8030582427181523) q[1];
rz(-1.5450459325495818) q[1];
rz(1.3979851988314174) q[2];
ry(0.10626081644330947) q[2];
rz(0.23339370272835236) q[2];
rz(-1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZIIZIIIZ",
"IZIIIIIIZI"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.125,
0.125,
0.125,
0,
0,
0,
-0.75,
-0.25,
-0.7... | 0.981613 | [
0.1531310707494347,
0.6303485691855849,
0.6910022691513715,
-0.16623671178622054,
-0.008360964568228033,
0.4494027869243768,
0.8199309159376724,
-0.06043918518706215,
0.8180101043064927,
0.09458864812461654,
0.1050201381124832,
-0.6853503169017136,
0.19471287790194716,
0.5360797991290474,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 6 |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [101, 85], "expectation_value": -0.2744325505769363, "params": [0.2792, 0.10590000000000001, 0.2732, 0.115, 0.4979, -0.013900000000000001, 0.49720000000000003, -0.0043, 0.4904, 0.0081, 0.496, 0.0014, 0.49560000000000004, -0.004200000000000001, 0.4965, -0.0059, 0.48560000000000003, 0.0258, 0.48960000000000004... | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 6 | 8 | 2 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["01010101", "10101010"], "largest_eigenvalue": 1.0250000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | 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[... | {"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,
0.0006944444444444445,
0.0006944444444444445,
0.25,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
0.25,
0.0006944444444444445,
0.0006944444444444445,
-0.0020833333333333333,
0.0006944444444444445,
0.0006944444444444445,
-0.002083333... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
1536b63d241483fb5dc02588be4ba19b | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [42, 41], "expectation_value": -4.4890655299466315, "params": null, "bitstrings": ["1010101", "1010110"], "total_optimization_steps": 33, "probabilities": [0.06023626807002411, 0.864537406823637], "optimization_time": 28.58272385597229} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -2.0 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011110", "1010101", "0011101", "1010110", "1110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.04779183555766979) q[0];
rz(pi/2) q[0];
ry(0.8306418339210944) q[1];
ry(0.05682480482049211) q[2];
ry(-0.05796229018538766) q[3];
ry(0.8499443990166291) q[4];
ry(0.7642536277892962) q[5];
ry(0.9814073438298536) q[6];
ry(0.521067015089204) q[7];
ry(1.1286822792896... | 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", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-2,
-0.5,
-1
] | 0.975441 | [
-0.04779183555766979,
0.8306418339210944,
0.05682480482049211,
-0.05796229018538766,
0.8499443990166291,
0.7642536277892962,
0.9814073438298536,
0.521067015089204,
1.128682279289605,
-0.10572734460785212,
-0.004947795862729976,
-0.08436678599328315,
0.3852756836515644,
0.04561754259989417,... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 50 |
d9c7bdf54d899c9398017ef3207b96e3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [289, 353], "expectation_value": -6.016361944195958, "params": [1.5665, -0.0019, 1.5688, 0.0007, -0.002, -1.2021000000000002, -0.002, 0.0022, 0.8018000000000001, 0.0019, 0.8018000000000001, 0.0066, 1.5723, 0.0016, 1.5744, 0.009000000000000001, -0.002, 1.212, -0.002, 0.0028, 0.0033, -0.79, 0.00290000000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(5) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["010111100", "001101011", "010011110", "001011011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5294743326921387) q[0];
rz(0.39434306578878253) q[0];
rx(-0.03380270128140195) q[1];
rz(-1.2058153773304043) q[1];
cx q[1], q[0];
rz(-0.3649761577135096) q[0];
cx q[1], q[0];
rx(1.504075440621229) q[0];
rz(-0.02570159088922855) q[0];
rx(-0.033802701281401955) 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": []} | [
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIZIIIZII",
"IZZIIIIII",
"ZIZIIIIII",
"IZIIIZIII",
"IIIIZZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.980494 | [
1.5294743326921387,
0.02936690807527277,
-0.03380270128140195,
-1.2058153773304043,
1.2638004952933426,
-0.05608565207165281,
1.6808671922421867,
-0.08557656295395537,
1.2457298670539916,
-0.050326722795459154,
-0.7602581627931781,
0.021746302304805724,
0.8492812477174034,
-0.1136246637706... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 4 |
461a504b9826e7d1bfc1c6f1845a3d83 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [22, 84], "expectation_value": -4.49639797747896, "params": null, "bitstrings": ["1101001", "0101011"], "total_optimization_steps": 26, "probabilities": [0.0663522959322684, 0.9303266259711162], "optimization_time": 17.42507243156433} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101001", "1101010", "0101011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.03120252051460415) q[0];
rz(-0.6684701198601921) q[0];
ry(0.47876009748390536) q[1];
rz(0.3409262400185791) q[1];
cx q[1], q[0];
ry(0.14721294990200087) q[0];
rz(-0.45360264503939646) q[0];
ry(0.3435984053258038) q[1];
rz(-0.9384988858791737) q[1];
ry(0.5169658127... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"IIZIIZI",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.973389 | [
0.03120252051460415,
-0.6684701198601921,
0.47876009748390536,
0.3409262400185791,
0.5169658127997544,
-0.22069112448161554,
0.06422803559439964,
-0.30958082367571615,
0.31722338761086294,
-0.20828006918348035,
0.020606661659462955,
-0.45125081741926987,
-0.041715055063670695,
0.7212509705... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 164 |
917f40919ed5cce8c36c9746617c7a98 | 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": 7, "source": 0, "target": 1}, {"weight": 2, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 6}, {"weight": 19, "source": 2, "targ... | {"states": [380, 124], "expectation_value": -16.04326647142338, "params": [[-0.0234], [0.0811]], "bitstrings": ["010000011", "110000011"], "total_optimization_steps": 10, "probabilities": [0.003595386798080657, 0.003903122086585044], "optimization_time": 2.304140329360962} | 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(1) @ Z(5)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110000011"], "largest_eigenvalue": 208.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.00044453658841897564) q[0];
rz(-0.5788197044321004) q[0];
rx(0.4068324238987415) q[1];
rz(-0.11490205461069954) q[1];
rx(3.211647336478497) q[2];
rz(-0.018285896484799113) q[2];
rx(3.068768369175414) q[3];
rz(0.3240571938421825) q[3];
rx(3.2961556426951257) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIZIIZII",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"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,
4.5,
19.5,
23,
14.5,
27.5,
20,
10,
4.5,
7.5,
-5.5
] | 0.970785 | [
0.0004445365884189756,
-0.6284213388249793,
0.4068324238987415,
-0.11490205461069954,
3.211647336478497,
-0.018285896484799113,
3.068768369175414,
0.3240571938421825,
3.2961556426951257,
0.19379084717326944,
3.00879211742487,
-0.28753631262510954,
3.14958888918463,
-0.12561512912265832,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 12 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.923580020987941, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.13608908662623545, 0.5552705121777858], "optimization_time": 54.084296226501465} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 9 | 6 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
fbfefcfa74040d0ce51ad9f65d60106e | 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": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -16.917515088214543, "params": [[[-0.0134, -0.0037], [-0.0071, 0.1298], [-0.001, 0.0026000000000000003], [-0.0036000000000000003, 0.003], [0.0, -0.0028], [-0.001, -0.003], [-1.395, -0.0014], [0.42060000000000003, -0.002]], [[-0.0009000000000000001, 0.31930000000000003], [0.00... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 15 | 8 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-3.000859291377131) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7748292037323219) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(0.7748292037323219) q[6];
cx q[4], q[6];
ry(-0.7748292037323219) q[6];
cx q[4], q[6];
cx q[6], q[2];
ry(-0.7748292037323219) q[2];
cx q[6], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIII... | [
-0.75,
-1,
-1.25,
2.25,
-1.25,
-0.75,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-2.5,
4,
-0.25,
0.5,
-0.75,
-0.25,
-1.5,
-1.25,
-0.5
] | 0.971108 | [
1.343239533146487,
1.5496584074646438,
1.363289995080834,
0.49621708094972544,
0.17364686287149478,
0.8685694332296491,
-0.9034655796711664,
0.019652428940172502,
0.07498731643459305,
0.010575954165949066,
-0.054917433053030165,
-0.5287275655163913,
0.6373367627171431,
-0.02023287143337967... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 309 |
addf4ef0c2b8c54850822b29511fdebb | 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": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 9}, {"source": 1, "target":... | {"states": [596, 597], "expectation_value": -4.649748342387779, "params": [[[2.0002, 0.0061, 0.0024000000000000002, 0.0034000000000000002], [-0.0066, -0.5884, -0.0005, 0.0097], [0.002, 0.0026000000000000003, 0.009600000000000001, 0.0082], [0.5231, 0.0028, 1.3063, 0.0078000000000000005], [-0.0028, 0.0066, 0.0057, 0.0071... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(6) + -1.0 * Z(8) + -1.0 * Z(9) + -0.5 * Z... | 12 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001101001", "1100101001", "0110101010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.901380298332718) q[0];
rz(0.20376489740793363) q[0];
ry(-0.24786948295172168) q[1];
rz(-1.0492737618297394) q[1];
cz q[1], q[0];
ry(-0.21694581698871038) q[1];
ry(-0.18570676461339874) q[2];
rz(-0.37335177825298915) q[2];
ry(0.6515224828863004) q[3];
rz(-0.2878070... | 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": []} | [
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IIIIIIZIZI",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZIIZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
0,
-0.5,
-0.5,
0
] | 0.972458 | [
2.901380298332718,
0.20376489740793363,
-0.24786948295172168,
-1.0492737618297394,
-0.18570676461339874,
-0.37335177825298915,
0.6515224828863004,
-0.2878070609555582,
-0.03506763418059472,
0.25397813589498114,
1.2106946856181735,
0.005592532037232825,
0.12208741750845908,
0.12102525860629... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
fc004364023d9de40312a47332ff3203 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 40], "expectation_value": -3.9741067800330327, "params": null, "bitstrings": ["100111", "010111"], "total_optimization_steps": 17, "probabilities": [0.07397901535923933, 0.9005745124139602], "optimization_time": 15.139832019805908} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "101110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx q[2], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1
] | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
7d8b3d8ceec2d81b644dfcbc98592f50 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [62, 382], "expectation_value": -2.082718041434966, "params": [[[-0.013000000000000001, 0.0095], [1.5689000000000002, 1.5726], [1.5325, 1.5691000000000002], [-1.5769, 1.5731000000000002], [0.0033, 1.5670000000000002], [0.0033, 0.0033], [1.5688, 1.5729], [0.6075, 1.5687], [0.4949, -0.1194], [-0.0014, 0.528600... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1000100100", "1010000001", "1001000010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | 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": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIZIIIZZ",
"IIIZIIIIZZ",
"IIIZZIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
... | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
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