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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5335046281359263337 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6], [0, 1, 2, 3], [1, 2, 3, 4, 5, 6, 7], [0, 3, 4, 5, 7], [0, 4, 6]]} | {"states": [183, 215], "expectation_value": -0.6343929445441032, "params": [[-0.46630000000000005], [0.4479]], "bitstrings": ["01001000", "00101000"], "total_optimization_steps": 50, "probabilities": [0.009468460378178473, 0.009468460378178481], "optimization_time": 13.933196306228638} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.15714285714285714 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.07380952380952381 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(0)) + 0.07380952380952381 * (Z(5) @ Z(2)) + 0.07380952380952381 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.07380952380952381 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.173809523809524, -1.173809523809524], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1738095238095236, "smallest_bitstrings": ["00010010", "00101000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.4564873703819152) q[0];
h q[1];
h q[2];
ry(-0.2985805038644344) q[2];
cx q[1], q[2];
ry(0.2985805038644344) q[2];
cx q[1], q[2];
ry(-0.10495213626859609) q[1];
cx q[2], q[1];
ry(0.10495213626859609) q[1];
cx q[2], q[1];
ry(0.46880432168191927) q[1];
ry(-0.1... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"ZIIIIIZI",
"ZIIIIII... | [
0.13333333333333333,
0.15714285714285714,
0.13333333333333333,
0.07380952380952381,
0.1,
0.07380952380952381,
0.07380952380952381,
0.21666666666666667,
0.07380952380952381,
0.07380952380952381,
0.10714285714285714,
0.13333333333333333,
0.10714285714285714,
0.07380952380952381,
0.02380952... | 0.980929 | [
1.4564873703819152,
0.7379028715209621,
0.34751513785683324,
0.47939224352166043,
-0.432405521758327,
0.4478141775598771,
0.37435303448897195,
-0.5971610077288688,
0.14821273543272273,
-0.20990427253719218,
0.5109058062729952,
-0.2998453302410154,
0.45350582548400525,
-0.3898571430801109,
... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -1.173809523809524,
"target_ratio": 0.97,
"target_value": -1.1385952380952382
} | 2 |
6960024821437873846 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 5], [2, 4], [10, 6], [3, 4], [10, 2], [0, 3], [8, 10], [8, 4], [9, 7], [6, 7], [8, 1], [1, 5], [0, 8], [0, 7], [9, 2], [9, 3], [10, 5], [3, 7], [0, 5], [5, 7], [8, 2], [0, 2]]} | {"states": [948, 436], "expectation_value": -6.084143400626195, "params": [[[0.0026000000000000003, -0.157, 0.004200000000000001, 0.0058000000000000005], [-0.0024000000000000002, 0.157, 1.6697000000000002, 0.0027], [1.5686, -0.0016, 1.5684, 0.0094], [1.574, -0.0033, 1.5728, 0.0067], [-0.0051, -0.8591000000000001, -0.00... | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z... | 11 | 11 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["00110110100", "11001001011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.06268934397267162) q[0];
rz(-0.26630380160319156) q[0];
ry(-0.08275582375517904) q[1];
rz(0.011821211918232061) q[1];
cx q[1], q[0];
ry(2.8898921367909964) q[1];
rz(-0.2689641849670277) q[1];
ry(1.4399981767032612) q[2];
rz(-0.09484227369559384) q[2];
ry(1.4424329... | OPENQASM 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": []} | [
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"ZIIIIZIIIII",
"ZIIIIIIIZII",
"ZIIIZIIIIII",
"IIIIIZIIIIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZIZ",
"IIZIIIZIIII",
"IIZIIIIIZII",
"ZIZIIIIIIII",
"IIZIIIIIIIZ",
"IZIIIIIZIII",
"IZIIIIIIZII",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IIIZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972096 | [
0.06268934397267162,
-0.26630380160319156,
-0.08275582375517904,
0.011821211918232061,
1.4399981767032612,
-0.09484227369559384,
1.442432920576315,
-0.028101767899677776,
-0.13311263916402855,
-0.5776231437148979,
0.05546370421521098,
0.2562767362834124,
1.585061091209456,
0.03359491120690... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 11 |
4831ab012b2dd3a86550af07c5dc6e17 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 6... | {"states": [7999, 8063], "expectation_value": -5.825866798439952, "params": [-0.0026000000000000003, 0.007500000000000001, -0.0019, 0.0005, 1.7011, 0.0029000000000000002, 1.7099, 0.0006000000000000001, 1.7082000000000002, 0.0001, 1.7104000000000001, 0.0098, 1.7086000000000001, 0.0018000000000000002, 1.5047000000000001,... | -1.0 * (Z(7) @ Z(1)) + -1.0 * (Z(8) @ Z(1)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 ... | 18 | 15 | 1 | {"smallest_eigenvalues": [-23.499999999999876], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.499999999999865, "smallest_bitstrings": ["110000010000000"], "largest_eigenvalue": 52.500000000000036} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.20796838160434256) q[0];
rz(0.7828799437569725) q[0];
rx(0.134548632594205) q[1];
rz(0.2739814615874633) q[1];
cx q[1], q[0];
rz(-0.01614072487980384) q[0];
cx q[1], q[0];
rz(1.0651551623204405) q[0];
ry(0.033660691285731875) q[0];
rz(-0.3172007856064387) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIIZI",
"IIIIIIZIIIIIIZI",
"IIIIIIZZIIIIIII",
"IIIIIIIIIIIIZZI",
"IIIIIIIZIIIIZII",
"IIIIIIZIIIIIZII",
"IIIIIIIIIIIZIZI",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIZIII",
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZIIZI",
"IIIIIIIZIIZIIII",
"IIIIIIZIIIZIIII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIIZZIII",
"... | [
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
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,
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,
-1,
1... | 0.972693 | [
-0.2079683816043426,
0.7667392188771684,
0.134548632594205,
0.2739814615874633,
0.5570540689180454,
-0.24201210412359003,
0.8558334827245723,
0.08754612967842154,
0.3448817416275478,
-0.15518388594361215,
0.8423806309219513,
0.08852232364254385,
0.9300608171577839,
0.9211924307353271,
0.... | {
"n_parameters": 115,
"n_qubits": 15,
"optimal_eigenvalue": -23.49999999999999,
"target_ratio": 0.97,
"target_value": -22.794999999999987
} | 27 |
a99f86c3cb9c5f9afbf3a51c1f63c621 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -1.6673472633571214, "params": [[-0.0772], [0.07780000000000001]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0020971146523037537, 0.002117286884198899], "optimization_time": 4.492471218109131} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0008973377137980517) q[0];
ry(-0.07724966896180495) q[1];
ry(0.008071608743200348) q[2];
ry(-0.10161355622365542) q[3];
ry(0.0008973377137980517) q[4];
ry(0.007334187244498271) q[5];
ry(-0.023899058811940974) q[6];
ry(0.03792980714752836) q[7];
ry(0.07457937914449... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IIIIZIIIZI",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIIIZIZII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"ZIIIIZIIII"... | [
-0.75,
-1.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
1.75,
-0.25,
-1,
-0.5,
-1.75,
-1,
-1,
-1,
-1.5,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.75,
-0.5,
-1,
-1,
-0.75,
-0.25,
-1.25,
-0.25,
0.5,
-2,
0,
1.5,
-1.75,
-0.25,
-0.25,
3.75
] | 0.970659 | [
0.0008973377137980517,
-0.07724966896180495,
0.008071608743200348,
-0.10161355622365542,
0.007334187244498271,
-0.023899058811940974,
0.03792980714752836,
0.07457937914449166,
1.9130910066636795,
-0.15561674932195602,
-0.05138019592625169,
0.018200923871852043,
-0.002300110658170281,
0.003... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 44 |
79ecc4847db5af37782a1c862369b0e5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.564321143296686, "params": [[-0.051000000000000004], [0.0659]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001311004544063541, 0.001328682762105783], "optimization_time": 1.7255299091339111} | -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-pi) q[0];
ry(-0.004573207590833014) q[0];
h q[1];
ry(1.0650723069822048) q[1];
h q[2];
ry(0.813173666365267) q[2];
h q[3];
ry(0.9116192610223286) q[3];
h q[4];
ry(0.5117121326905787) q[4];
h q[5];
cx q[5], q[4];
ry(-0.5117121326905787) q[4];
cx q[5], q[4];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.902018 | [
1.0234242653811574,
1.626347332730534,
1.3833227940261237,
0.7526752857215283,
1.8232385220446572,
1.571501073997492,
1.2310104654153886,
2.1301446139644096,
0.14088783300572685,
-0.15118942209001918,
-0.9842910466730176,
0.9441594678094527,
-0.001621875997033076,
-1.577784643563386,
0.4... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 500 |
9b4be5d748a292e481722f1ef8f75020 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [9, 13], "expectation_value": -2.7421302019969787, "params": [[0.1738], [-0.1774]], "bitstrings": ["11110110", "11110010"], "total_optimization_steps": 20, "probabilities": [0.008667442878577404, 0.008756588026793133], "optimization_time": 3.1028032302856445} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14463547101575489) q[0];
rz(-0.9013886526061183) q[0];
rx(0.14200284685399922) q[1];
rz(0.6212693590588447) q[1];
rx(-0.14471618748001755) q[2];
rz(0.4407728646085142) q[2];
rx(-0.14471618748001755) q[3];
rz(-0.9525842351766118) q[3];
rx(1.8131142699027647) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZII... | [
-0.5,
-0.5,
0.4,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
1,
-0.2,
2,
-1.7000000000000002,
-1.7000000000000002,
1.5,
3,
1.5,
-0.6000000000000001,
-0.30000000000000004
] | 0.972151 | [
0.1446354710157549,
-0.737814615895959,
0.14200284685399922,
0.6212693590588447,
-0.14471618748001755,
0.4407728646085142,
-0.9525842351766118,
1.8131142699027647,
0.16895032385674386,
0.13369873663334575,
0.20067474335624766,
1.5954489610039433,
0.23189398635567227,
0.7353956036851526,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -6.6000000000000005,
"target_ratio": 0.97,
"target_value": -6.402
} | 16 |
629064d27778679294f16fb68c627d78 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.1086920998379155, "params": [[-0.0516, -0.0434, -0.0303, -0.07150000000000001], [0.06720000000000001, 0.058800000000000005, 0.0419, 0.065]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009815029770220182, 0.010639199462519917],... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.06790606828601531) q[0];
ry(-0.19378190667385042) q[1];
ry(0.26525675236889135) q[2];
ry(0.3085519872831255) q[3];
ry(-0.08750380138537002) q[4];
ry(0.1670886418927537) q[5];
ry(-0.12914170348052573) q[6];
ry(2.711521101072561) q[7];
cx q[7], q[0];
cx q[6], q[7];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IZIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZII... | [
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
1.25,
-0.75,
0,
-0.5,
0.5,
0
] | 0.971644 | [
0.06790606828601531,
-0.19378190667385042,
0.26525675236889135,
0.3085519872831255,
-0.08750380138537002,
0.1670886418927537,
-0.12914170348052573,
2.711521101072561,
0.017142781392932717,
0.04988119033459587,
0.13485690303009606,
0.02740877087440155,
-0.1282859228707568,
-0.02651321364155... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 44 |
3668334392047958714 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [2, 3, 4], [4, 6], [3, 5], [0, 1, 5], [1, 6], [2, 6], [2, 5], [0, 3], [1, 2], [0, 2]]} | {"states": [25, 102], "expectation_value": -0.08331266782395741, "params": [[0.0737], [-0.057800000000000004]], "bitstrings": ["1100110", "0011001"], "total_optimization_steps": 10, "probabilities": [0.0086273199932063, 0.008723046169746], "optimization_time": 0.6544930934906006} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["0011001"], "largest_eigenvalue": 6.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.6194013867124099) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(0.6194013867124099) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(0.6194013867124099) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.6194013867124099)... | 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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"ZIIIZII",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"ZIIIIZI",
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0,
0.16666666666666696,
0.16666666666666696,
0.16666666666666674,
0.16666666666666663,
0.1666666666666667... | 0.405007 | [
0.6194013867124099,
-0.0051473010227454045,
0.01011792832458383,
-0.6766403064182058
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 131 |
5fe39a57decb5f0d46a192b267ce6116 | 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": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -30.009577482526417, "params": [[[-0.0188, 0.0007], [0.0017000000000000001, 0.0023], [0.0025, 0.0031000000000000003], [0.0142, -0.0028], [0.0064, -0.0025], [0.007, -0.0026000000000000003], [0.0041, -0.0025], [0.0044, 0.0032], [-0.0014, -0.0031000000000000003], [0.0025, 0.00... | -0.75 * (Z(0) @ Z(9)) + -2.5 * (Z(10) @ Z(9)) + -0.75 * (Z(10) @ Z(0)) + -0.75 * (Z(1) @ Z(9)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(11) @ Z(10)) + -1.75 * (Z(11) @ Z(1)) + -0.25 * (Z(11) @ Z(5)) + -0.25 * (Z(3) @ Z(9)) + 1.75 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(10)) + -0.... | 15 | 12 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 33.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.3429708288523973) q[0];
ry(0.003129244201985334) q[1];
ry(0.07118401934001076) q[2];
ry(-0.01958111486050255) q[3];
ry(-0.4637217891855333) q[4];
ry(0.02751946576913218) q[5];
ry(-0.11776434279526266) q[6];
ry(0.00032652115232166545) q[7];
ry(0.03692522163125699) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IZZIIIIIIIII",
"IZIIIIIIIIIZ",
"IIZIIIIIIIZI",
"IZIIIIIZIIII",
"IIIIIIIZIIZI",
"IIIIIIZIIIZI",
"ZZIIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIZIIIII",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IZIIIIIIZIII",
"IIIIIIIIZIZI",
"ZIIIIIIIZIII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"ZIIIIIIII... | [
-0.75,
-2.5,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-1.25,
-1.75,
-0.25,
-0.25,
1.75,
-1.25,
-0.25,
-1,
-1.25,
-0.75,
-1,
-0.5,
-0.75,
-0.25,
-1.75,
-1.5,
-0.5,
-0.25,
-1,
-0.75,
-2,
-0.5,
-1,
-0.25,
-0.75,
-1,
-0.75,
-1,
-1,
-0.25,
1,
0.5,
0,... | 0.970114 | [
0.3429708288523973,
0.003129244201985334,
0.07118401934001076,
-0.01958111486050255,
-0.4637217891855333,
0.02751946576913218,
-0.11776434279526266,
0.00032652115232166545,
0.03692522163125699,
-1.338549704219971,
0.12665911752841197,
-0.1085572745894479,
-0.011265596033083278,
0.047440549... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 43 |
d6547d8d1b2ca3acd846543e0c7a6068 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [342, 348], "expectation_value": -97.97596813428017, "params": [[[1.5727, 0.0028], [1.5702, -0.0024000000000000002], [0.0024000000000000002, -0.0032], [0.8629, 1.5124], [-0.0048000000000000004, 1.6735], [0.1908, 1.5678], [0.0057, 1.5730000000000002], [1.7810000000000001, 0.4968], [-0.38430000000000003, 0.453... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(8)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(7) @ Z(5)) + 5.5 * Z(1) + 0.5 * Z(2) + -4.5 * Z(4) + 5.5 * Z(3) + 23.0 * Z(6) + 10.5 * Z(8)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.0, "smallest_bitstrings": ["1010100011"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.06034020540812974) q[0];
rz(0.5796656682343446) q[0];
rx(2.890853307394696) q[1];
rz(-0.11896105306214333) q[1];
rx(0.08303132772523722) q[2];
rz(0.3007389063834668) q[2];
rx(3.1802384254194274) q[3];
rz(-0.15663275246738864) q[3];
rx(-0.06034020540812973) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIZIIIIZI",
"IZIZIIIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IZIIZIIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
5.5,
0.5,
-4.5,
5.5,
23,
10.5,
22.5,
21,
-10.5,
-14
] | 0.972269 | [
-0.06034020540812973,
0.5350622409357828,
2.890853307394696,
-0.11896105306214333,
0.08303132772523722,
0.3007389063834668,
3.1802384254194274,
-0.15663275246738864,
0.2237237847557491,
3.301098072272068,
-0.07660295334472914,
2.8407853584970297,
-0.23377882584170742,
2.9994094078591877,
... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -103,
"target_ratio": 0.97,
"target_value": -99.91
} | 10 |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -6.623317291554706, "params": [0.0033, 0.0078000000000000005, 0.0026000000000000003, 0.0071, 0.0023, 0.004, 0.0023, 0.0009000000000000001, 0.0023, 0.00030000000000000003, -0.0024000000000000002, 0.0068000000000000005, -0.0024000000000000002, 0.0, -0.0027, 0.009600000000000001, 1.... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.019398678090436997) q[0];
rz(2.084914487441562) q[0];
rx(0.09762454859881467) q[1];
rz(1.9642393875336737) q[1];
rx(0.15349678368786707) q[2];
rz(2.054520407527221) q[2];
rx(0.1508063677983519) q[3];
rz(2.01629317791377) q[3];
rx(-0.20457896895512162) q[4];
rz(1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-1,
-0.25,
-1,
0.5,
1.5,
-0.25,
0.75,
0.5,
-0.75
] | 0.973875 | [
-0.019398678090436994,
0.514118160646666,
0.09762454859881467,
0.39344306073877683,
0.15349678368786707,
0.4837240807323244,
0.1508063677983519,
0.44549685111887327,
-0.20457896895512162,
0.3909184559611752,
-0.1069543401062249,
0.5626121896390848,
0.019812075457725918,
0.4101572633914103,... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 6 |
-6129269027980007855 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 3], [0, 2, 4], [1, 3, 4]]} | {"states": [13, 19], "expectation_value": -0.0053168797848196095, "params": [[0.0434], [-0.031400000000000004]], "bitstrings": ["10010", "01100"], "total_optimization_steps": 10, "probabilities": [0.03147725605488216, 0.03147725605488219], "optimization_time": 0.5139486789703369} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.166666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666663, "smallest_bitstrings": ["01100", "10010", "00110", "11000"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.29146833033907865) q[0];
h q[1];
ry(-0.26017049337930664) q[1];
h q[2];
ry(0.5697183687887366) q[2];
cx q[2], q[0];
ry(0.29146833033907865) q[0];
cx q[2], q[0];
ry(0.25866492189661205) q[2];
ry(-0.22787236608823466) q[0];
ry(-2.4785582134774966) 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;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663,
0.3333333333333333
] | 0.982349 | [
1.3175411466650517,
0.6565241029391627,
0.5024755674868752,
-0.5203409867586133,
0.5697183687887366,
-0.5829366606781573,
0.5173298437932241,
-0.4804805265826396,
0.44801989904485695,
-0.4203303694536761,
0.3123142456291387,
-0.4557447321764693,
0.37923855437775145,
-0.33429690592282746,
... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 1 |
95b1142ae8d79cc944e68dc71d440182 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [9, 15], "expectation_value": -6.370397575480722, "params": null, "bitstrings": ["110110", "110000"], "total_optimization_steps": 34, "probabilities": [0.07917139809195542, 0.8343795242741813], "optimization_time": 23.232301712036133} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111110", "110000", "100000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIZIIZ",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
fbc46bcd995da54504109cba67c5f505 | 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": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [348, 346], "expectation_value": -52.91152516745855, "params": [[[0.5680000000000001, 0.1363], [0.1665, 0.1605], [0.5982000000000001, 0.1942], [0.1489, 0.2901], [0.17980000000000002, 0.6], [0.16870000000000002, 0.2879], [0.1583, 0.6028], [0.5941000000000001, 0.5954], [0.39130000000000004, 0.10840000000000001... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(5)) + 10.0 * Z(0) + 2.5 * Z(1) + 20.0 * Z(2) + 17.5 * Z(4) + 11.5 * Z(5) + 2.0 * Z(3... | 15 | 9 | 4 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["010100101"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.0039844283900226) q[0];
ry(-0.06590054767120082) q[1];
ry(0.7495212288920559) q[2];
ry(0.1387741348154531) q[3];
ry(1.1260411595350601) q[4];
ry(-0.14926406573580434) q[5];
ry(-0.2405518136373879) q[6];
ry(0.7055263366629183) q[7];
ry(0.33513868551495557) q[8];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIZII",
"IIZIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
10,
2.5,
20,
17.5,
11.5,
2,
9,
2.5,
-1.5
] | 0.970018 | [
1.0039844283900226,
-0.06590054767120082,
0.7495212288920559,
0.1387741348154531,
1.1260411595350601,
-0.14926406573580434,
-0.2405518136373879,
0.7055263366629183,
0.33513868551495557,
0.06167707529734483,
0.014609337589500459,
0.28697991940087636,
0.12029865099232143,
0.25950533728482356... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 79 |
-8266188259455972362 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 1], [1, 2], [4, 6]]} | {"states": [89, 92], "expectation_value": -0.017913427994784764, "params": [[-0.0438], [0.051500000000000004]], "bitstrings": ["0100110", "0100011"], "total_optimization_steps": 10, "probabilities": [0.008095703829275347, 0.008095703829275347], "optimization_time": 1.4253368377685547} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0101100", "0100011", "1011100", "0100110", "1011001", "0101001", "1010011", "1010110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.4637136746945448) q[1];
h q[2];
cx q[2], q[1];
ry(0.4637136746945448) q[1];
cx q[2], q[1];
ry(-0.43957494939434205) q[1];
cx q[0], q[1];
ry(0.43957494939434205) q[1];
cx q[0], q[1];
ry(0.6835042933923784) q[0];
ry(-0.38901058450551546) q[1];
ry(1.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[6], q[4];
... | null | {"circuits": [], "gradients": []} | [
"IZIZIII",
"IIIIIZZ",
"IIIIZZI",
"ZIZIIII",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971579 | [
-0.9274273493890896,
1.1299093256843704,
-0.8791498987886841,
1.3670085867847568,
-0.4729414048598631,
0.2856894503781211,
0.19815180501664653,
0.46294272547785154,
-0.37181802491295474,
-0.47525683187533907,
-0.051529207126292255,
0.07475027060978395,
0.13018312985332625,
0.14701767616712... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 19 |
4c501ef8e5f3c0389124f06f0fc880e2 | 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": 3, "targ... | {"states": [15, 16383], "expectation_value": -19.070065024651946, "params": [[[0.0023, 0.0091], [0.0029000000000000002, 0.0056], [1.5558, 0.004], [0.0021000000000000003, 0.004], [0.0028, 0.0053], [0.003, 0.0027], [1.5585, 0.0053], [0.0022, 0.0095], [0.003, 0.0078000000000000005], [1.5651000000000002, 0.0037], [0.002900... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(11)) + -2.0 * (Z(13) @ Z(11)) ... | 2 | 14 | 1 | {"smallest_eigenvalues": [-25.000000000000032], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.000000000000142, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 24.99999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(-2.7436714545238726e-06) q[0];
rz(0.6775778048260162) q[0];
rx(-5.459604939444797e-06) q[1];
rz(0.7482935059876976) q[1];
rx(-4.75826993836276e-06) q[2];
rz(-0.11451376293180535) q[2];
rx(8.683653940940759e-06) q[3];
rz(-0.11451376293180535) q[3];
rx(-1.532987293034... | OPENQASM 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIZIZIII",
"IIIIIIIZZIIIII",
"IIIIIIIZIIZIII",
"IIIIIIIIZZIIII",
"IIIIIIIIIZZIII",
"IIIIIIIZIZIIII",
"IIIIIZZIIIIIII",
"IIIIZZIIIIIIII",
"IIIIZIZIIIIIII",
"IIZZIIIIIIIIII",
"ZIZIIIIIIIIIII",
"ZIIZIIIIIIIIII",
"IZZIIIIIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-2,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
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
] | 0.96 | [
-0.0000027436714545238726,
0.6775778048260162,
-0.000005459604939444797,
0.7482935059876976,
-0.00000475826993836276,
-0.11451376293180535,
0.000008683653940940759,
-0.000001532987293034694,
-0.2566673849592658,
8.900664054204872e-7,
-0.040028000619819114,
3.1415956178525275,
0.0000012630878... | {
"n_parameters": 21,
"n_qubits": 14,
"optimal_eigenvalue": -25.000000000000032,
"target_ratio": 0.97,
"target_value": -24.250000000000032
} | 300 |
4241967995058416964 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8], [3, 4], [4, 5], [0, 6], [8, 4], [2, 6], [2, 7], [1, 6], [8, 3], [4, 6], [2, 3], [8, 1], [5, 7], [8, 2], [1, 7], [6, 7], [1, 2], [8, 6], [0, 2], [4, 7], [2, 4], [1, 5], [8, 5], [0, 3]]} | {"states": [108, 403], "expectation_value": -0.31084976076726034, "params": [[-0.0868], [0.0789]], "bitstrings": ["110010011", "001101100"], "total_optimization_steps": 10, "probabilities": [0.0025233143128080035, 0.0025233143128080035], "optimization_time": 0.925466775894165} | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["001101100", "110010011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(-0.38981300252156104) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(-0.38981300252156104) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(-0.38981300252156104) q[3];
cx q[0], q[3];
cx q[8], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(x0) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(x0) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZZIIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIZIIII",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZIIIIIIZI",
"IIIZIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.409931 | [
-0.38981300252156104,
1.70090733691838e-8,
0.5693016052254498
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 90 |
12a709cea7d6ba239d3ff08a3d514b7a | 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": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -22.29710188515386, "params": [[[0.0014, -0.0024000000000000002], [-0.006900000000000001, -0.0695], [0.0022, 0.0027], [0.001, 0.0018000000000000002], [0.003, 0.0023], [0.0028, 0.0026000000000000003], [0.0031000000000000003, 0.0017000000000000001], [0.0058000000000000005, 0.001... | -0.25 * (Z(0) @ Z(6)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -2.25 * (Z(10) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @... | 15 | 11 | 4 | {"smallest_eigenvalues": [-23.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["10000000010"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.009352198797701619) q[0];
ry(-0.023416686800909494) q[1];
ry(-0.04134372214514526) q[2];
ry(0.035992964165522744) q[3];
ry(0.06055001862373877) q[4];
ry(0.003716984372968836) q[5];
ry(0.028956464423881147) q[6];
ry(0.028956464423881147) q[7];
ry(-0.00935219879770... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"IZIIZIIIIII",
"IZIIIIIIIIZ",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IZIIIIZIIII",
"IIIIIIZIIZI",
"ZIIIIIIIIZI",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIZZIIII... | [
-0.25,
-1,
-0.75,
-0.75,
-0.5,
-2,
-0.5,
-0.25,
-1,
-2.25,
-0.5,
-0.75,
-1,
-1,
-2,
-0.25,
-0.25,
-2,
-0.5,
-1.5,
-0.5,
-1.25,
-0.25,
-0.5,
1.75,
-1.25,
-0.25,
1,
-0.25,
-1,
-2.25,
-0.5,
-0.25,
0.75,
2.5,
0.25,
0,
-0.25
] | 0.970377 | [
-0.009352198797701619,
-0.023416686800909494,
-0.04134372214514526,
0.035992964165522744,
0.06055001862373877,
0.003716984372968836,
0.028956464423881147,
-0.07020954148146427,
-1.9819538787513062,
3.152390663002211,
-0.018778070561774052,
-0.03293081996558401,
0.0001844978361958613,
-0.01... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -23.25,
"target_ratio": 0.97,
"target_value": -22.5525
} | 9 |
184be31d5cef7a0df96adb60f009b8f5 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [26, 42], "expectation_value": -3.293210897902316, "params": [-0.0088, 0.15510000000000002, -0.0071, 0.14780000000000001, 0.2954, -0.1017, 0.2948, -0.0984, 0.28140000000000004, -0.10020000000000001, 0.27790000000000004, -0.1046, 0.3055, -0.048400000000000006, 0.3083, 0.0098, 0.00030000000000000003, 0.1597, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 5 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "1100110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.511712744486858) q[0];
h q[1];
ry(-0.49471069376631144) q[1];
h q[2];
cx q[2], q[1];
ry(0.49471069376631144) q[1];
cx q[2], q[1];
ry(-0.6936347221829589) q[1];
ry(1.0009674514056612) q[2];
h q[3];
ry(1.5013838288438324) q[3];
cx q[3], q[2];
ry(-0.299297876... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
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,
-1.5,
-1.5,
-0.5,
0
] | 0.994527 | [
-1.511712744486858,
-1.6447834892120756,
-1.5273305942628348,
1.5013838288438324,
1.4417536248617866,
-0.9894213875326229,
0.7016695747878551,
-0.5049361799190388,
0.598595753235612,
-0.3773970845278402,
0.15889937565015966,
-0.04416035628984544,
-0.19694947548304464,
0.20522778123686816,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
1acf7607c7ee29e36b87a4b01083b206 | 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": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [62, 31], "expectation_value": -1.9980179034775143, "params": [[-0.002, -0.0019, 0.7773, 0.7793, 0.0019, 0.0021000000000000003], [0.9193, 0.7725000000000001, 0.0057, 0.0002, 0.7804, -0.9218000000000001], [-0.9225000000000001, 0.79, 0.0068000000000000005, 0.0036000000000000003, 0.7852, 0.9271]], "bitstrings":... | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 9 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
ry(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
34fec832591d56601cbd146a15fec9ed | 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": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [85, 83], "expectation_value": -4.499863760330889, "params": null, "bitstrings": ["0101010", "0101100"], "total_optimization_steps": 33, "probabilities": [1.641415568465037e-05, 0.9999120678543048], "optimization_time": 24.18941855430603} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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",
"IIZZIII",
"IIZIIIZ",
"IIIIZZI",
"ZIIZIII",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5,
-0.5,
-0.5
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
a6f2ec57af099b3bb5cc46b59481f5f7 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"sour... | {"states": [31, 223], "expectation_value": -9.888574964353673, "params": null, "bitstrings": ["11100000", "00100000"], "total_optimization_steps": 100, "probabilities": [0.13391895154524297, 0.44802146250297237], "optimization_time": 205.73915934562683} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1632874795536836) q[0];
cx q[1], q[0];
rz(-0.40236975800762487) q[0];
rx(2.086277834688468) q[0];
rz(-0.40236975800762487) q[1];
rx(2.086277834688468) q[1];
rz(-3.1589572779822106e-07) q[2];
ry(0.5154815078935998) q[2];
rz(-1.5707959... | null | {"node": 2} | {"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(1.5708) q[7], 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] = mea... | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-2.5,
1,
-2.5,
-2,
-2.5,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.562206 | [
-1.1632874795536836,
-0.6387802970470341,
-0.4240326588684522,
-0.6899810266036026,
-0.40236975800762476,
1.5707961478154864,
2.086277834688468
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 211 |
0fcc1a24f94fd2a8b4a107178db6be3d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [718, 717], "expectation_value": -2.2697746517286093, "params": [[[0.7007, -0.005200000000000001], [0.1552, 0.0018000000000000002], [0.7947000000000001, 0.2063], [0.5708, 0.1831], [0.3728, 0.249], [0.045200000000000004, -0.0159], [-0.09380000000000001, 0.7924], [-0.0587, 0.41140000000000004], [0.637600000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 15 | 10 | 3 | {"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], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110001", "0100101100", "0101110000", "0110001100", "0110000101", "1100100100", "0110010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003329952575220962) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.003329952575220962) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.003329952575220962) q[5];
cx q[0], q[5];
rz(0.2271403800727576) q[0];
rx(-1.5668... | OPENQASM 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",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIZIIZIZ",
"IIIZIIIZIZ",
"IIIZZIIIIZ",
"IIIZZIIZII",
"IIIZZIIZIZ",
"IIZIIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IZZIIIIIII"... | [
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,
0.125,
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,
-0.125,
-0.5,
0.125... | 0.821768 | [
0.003329952575220962,
-1.5708316330529057,
0.2271403800727576,
-0.07902505467877949,
-1.5668304537158142,
1.5736423638586798,
-0.03548527954890518,
-1.5747194547938785,
-3.1472492563193653,
-0.4467237359589419
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 390 |
90caccd5a9bc4a2ae486cd28f2a54684 | 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": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [108, 364], "expectation_value": -3.9078484620831673, "params": [[[0.6246, 0.0022], [-0.0007, 0.4398], [0.8073, 0.0024000000000000002], [0.8054, 0.0012000000000000001], [-0.0051, -0.40840000000000004], [0.7553000000000001, -0.0013000000000000002], [0.8012, 0.0038], [0.11760000000000001, 0.34900000000000003],... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + -1.0 * Z(4) + -1.0 * Z(0) + -0.5 * Z(7) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(6) + -0.5 * Z(8) + 0.0 * Z(5) | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010011", "010011010", "110000101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.020582906481402506) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.020582906481402506) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.020582906481402506) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.020582906481402506) 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": []} | [
"IIIIZIIIZ",
"IZIIIIIIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZIZIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
0,
0,
-0.5,
-0.5,
0
] | 0.970022 | [
-0.020582906481402506,
1.3349078355280608,
-0.4290584674428706,
-2.533473561690379,
-1.7041236227506031,
1.5211978007099474,
-1.5217753188258623,
-0.7462250508281225,
1.6316773768793364,
0.48049263034224793,
0.04173615621602083,
0.43936730841378935,
-1.0733627665097956,
0.9631690412671038,... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 59 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | 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": [0, 31], "expectation_value": -5.496136222677335, "params": [[[0.00030000000000000003, -1.5438], [0.0024000000000000002, 0.004], [-0.0029000000000000002, -0.0023], [-0.0029000000000000002, -0.0028], [-0.0036000000000000003, -0.1371], [1.681, 0.0017000000000000001]], [[0.8829, -1.6329], [-0.002400000000000000... | 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) | 15 | 6 | 2 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"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 |
4368dd6213c7171348dbaf0e766876bf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 8}, {"sour... | {"states": [70, 86], "expectation_value": -3.071093290723929, "params": [0.45570000000000005, 0.0098, 1.5009000000000001, 0.0067, 1.6623, 0.009300000000000001, -0.0036000000000000003, 0.007200000000000001, 1.6184, 0.0076, 1.4737, 0.0097, 1.6992, 0.007, 1.7049, 0.0019, 0.0529, 0.0097, 0.0011, 0.00030000000000000003, 0.0... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(6) + -0.5 * Z(0) + 0.0 * Z(7) + -1.5 * Z(3) + -1.0 * Z(1) + -1.0 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["101110001", "110101001", "111010100", "100111001", "011010110", "111100001"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.13694281238798658) q[0];
rz(0.26450123826730865) q[0];
rx(-0.3154781031189893) q[1];
rz(0.06362841605850811) q[1];
rx(3.0113423829470984) q[2];
rz(-0.06917212431095487) q[2];
rx(-0.12504226628899434) q[3];
rz(0.24627066113210283) q[3];
rx(-2.838002230396112) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII"
] | [
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,
-1.5,
-1,
-1,
-1,
-0.5,
0
] | 0.974115 | [
0.13694281238798656,
0.34517335437427077,
-0.3154781031189893,
-0.1915355354152802,
3.0113423829470984,
-0.30803496721189516,
-0.12504226628899434,
-0.21216083821134635,
3.4451830767834744,
-0.28810260502102486,
0.27856789777884583,
0.2569040011185373,
3.1573278080383904,
0.494823780875150... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 27 |
f6efe48edfa023e0ed4dd36c6ec26eae | 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": [293, 295], "expectation_value": -116.07313765507799, "params": [[-0.0478, 0.0199, 0.6368, -0.1264, -0.0017000000000000001, 0.6268, 0.0041, -0.014100000000000001, 0.8025, -0.0847, 0.8429000000000001], [-0.0135, -0.0088, 0.6387, 0.038200000000000005, 0.00030000000000000003, 0.6286, -0.028, -0.0949, 0.7999, -0... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(0) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(3)) + 8.0 * (Z(9) @ Z(10)) + -4.5 * Z(1) + 15.5 * Z(2) + 2.5 * Z(3) + 8.5 * Z(5) + -6.5 * Z(4) + -4.0 * ... | 10 | 11 | 4 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["11011011000"], "largest_eigenvalue": 148.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.1310209629289449) q[0];
ry(0.25435319271608664) q[1];
ry(0.5231863879423745) q[2];
ry(-0.1487729767026033) q[3];
ry(-0.1977130109147502) q[4];
ry(0.8456163231843291) q[5];
ry(0.28556578259664694) q[6];
ry(-0.0542571164471699) q[7];
ry(1.0085154384730435) 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, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIIIIZ",
"IZIIIIIIZII",
"IZIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-4.5,
15.5,
2.5,
8.5,
-6.5,
-4,
15.5,
2,
-4,
13.5,
17.5
] | 0.973822 | [
0.1310209629289449,
0.25435319271608664,
0.5231863879423745,
-0.1487729767026033,
-0.1977130109147502,
0.8456163231843291,
0.28556578259664694,
-0.0542571164471699,
1.0085154384730435,
-0.04305463282314072,
0.8778658775264079,
0.02957045148174714,
-0.1251199205016195,
0.688836794042308,
... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -125,
"target_ratio": 0.97,
"target_value": -121.25
} | 13 |
b4417afb18bf0771535be2b022ebd858 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5},... | {"states": [1022, 2047], "expectation_value": -11.254971748044982, "params": [[[-1.0369000000000002, 1.1115000000000002], [0.0212, 1.1133], [-0.0024000000000000002, 0.49870000000000003], [-0.0034000000000000002, -0.0022], [-0.0027, -0.0028], [-0.0035, -0.0031000000000000003], [-0.0028, -0.003], [-0.0015, -0.0027], [-0.... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(8)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.02750781216805369) q[0];
ry(0.07833660145799456) q[1];
ry(0.06424401739894114) q[2];
ry(-0.0325180679257845) q[3];
ry(-0.061042650644121406) q[4];
ry(-0.012122916548898317) q[5];
ry(0.043400464089248636) q[6];
ry(-0.05492100155081764) q[7];
ry(0.0819063419962009)... | OPENQASM 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": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIZIIIIIZII",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
-1,
-2,
0.5,
-2.5,
0.5,
-1.5,
-2,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.978721 | [
-0.02750781216805369,
0.07833660145799456,
0.06424401739894114,
-0.0325180679257845,
-0.061042650644121406,
-0.012122916548898317,
0.043400464089248636,
-0.05492100155081764,
0.0819063419962009,
0.27283733320420805,
3.2720265986721824,
-0.048537631454827784,
0.03601344065161228,
0.00105864... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 50 |
4a07d8cd482ce7fb76684438a5cf9815 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4},... | {"states": [1786, 1791], "expectation_value": -18.030098342309717, "params": null, "bitstrings": ["00100000101", "00100000000"], "total_optimization_steps": 100, "probabilities": [0.03870161029317407, 0.5258896118579844], "optimization_time": 216.03184700012207} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(7)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + -2.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(8)) + ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.042405914013074295) q[0];
ry(-0.05068877239385349) q[1];
ry(1.6053497730704276) q[2];
ry(-0.020085092969340086) q[3];
ry(-0.02302030348987929) q[4];
ry(-0.02302030348987929) q[5];
ry(-0.05068877239385349) q[6];
ry(-0.05068877239385349) q[7];
ry(-0.0200850929693400... | null | {"node": 11} | {"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];\ncry(1.5708) q[8], q[10];\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... | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIII... | [
-2,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
-1.5,
-2.5,
1.5,
-2.5,
-2.5,
-2,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97109 | [
0.042405914013074295,
-0.05068877239385349,
1.6053497730704276,
-0.020085092969340086,
-0.02302030348987929,
-0.008166010480380057,
3.1721506218273094,
0.07497286915040906,
0.07566684410661241,
0.08620810084394737,
0.11847136009862701
] | {
"n_parameters": 11,
"n_qubits": 11,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 2 |
544944462949192911 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 1], [2, 6], [3, 6], [4, 7]]} | {"states": [78, 124], "expectation_value": -2.2202251569909692, "params": null, "bitstrings": ["10110001", "10000011"], "total_optimization_steps": 61, "probabilities": [0.047548229224899895, 0.6622830355545474], "optimization_time": 56.13262462615967} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["01111100", "10000011", "10001110", "01110001", "01001110", "01000011", "10111100", "10110001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.131402976638093) q[0];
cx q[1], q[0];
rz(-9.569655290420087e-09) q[0];
rx(0.7853981732227725) q[0];
rz(-9.569655290420087e-09) q[1];
rx(0.7853981732227725) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-1.1314029766... | 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[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIZIIIII",
"IIIIIIZZ",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.696999 | [
-1.131402976638093,
-9.569655566672296e-9,
0.7853981732227724
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 101 |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [11, 9], "expectation_value": -0.4236365451318193, "params": [[0.0785], [-0.0743]], "bitstrings": ["10100", "10110"], "total_optimization_steps": 10, "probabilities": [0.037452344906542825, 0.03822678745340374], "optimization_time": 1.4465007781982422} | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5890800937377858) q[0];
rz(-pi) q[1];
ry(-3.1155327368841115) q[1];
rz(-pi) q[2];
ry(-0.04137361749157337) q[2];
h q[3];
h q[4];
ry(1.642088873374983) q[4];
cx q[4], q[2];
ry(0.05197446119306805) q[2];
cx q[4], q[2];
cx q[4], q[1];
ry(0.06805220409940113) ... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIZI",
"ZIZII",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-1.5,
-0.75,
-0.25,
-1,
1.75,
-1,
-1.25,
-0.25,
0.5,
1.25,
-0.25
] | 0.997568 | [
1.6649084475999796,
-1.560195483093402,
-1.5890800937377858,
1.642088873374983,
-0.1039489223861361,
-0.13610440819880226
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 1 |
b301caa8ee54d69b7ea37306c72194d5 | 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": 6, "source": 0, "t... | {"states": [214, 118], "expectation_value": -22.338797960232625, "params": [[-0.038900000000000004, 0.0009000000000000001, 0.0081], [0.0639, 0.0678, 0.06810000000000001]], "bitstrings": ["00101001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014843366642226921, 0.017656398275439213], "optimization... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 7.5 * Z(0) + 13.5 * Z(3) + 18.0 * Z(1) + 18.0 * Z(2) + 8.0 * Z(5) + 4.5 * Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 126.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.06347993300546761) q[0];
ry(2.992575480203145) q[0];
rz(-2.8384273294090185) q[0];
rz(2.1169877527792913) q[1];
ry(0.32367041637651545) q[1];
rz(-0.9241277141255932) q[1];
rz(0.3928639994170604) q[2];
ry(2.9960386583190366) q[2];
rz(-2.9496046030450467) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
7.5,
13.5,
18,
18,
8,
4.5,
6,
1
] | 0.975073 | [
0.7541740997564996,
-0.08897060080098201,
0.0341104565438206,
0.3162561023169565,
0.9646454844957498,
-0.08022338423338521,
-0.015940874132053987,
0.24465601585825247,
1.1360293018527372,
0.15521536851054535,
0.0916895373402746,
-0.42605715799213406,
0.009023942239593907,
0.136073202055540... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -46,
"target_ratio": 0.97,
"target_value": -44.62
} | 12 |
13395b3e8f5e4d47dab66af622a16025 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [56, 63], "expectation_value": -0.3870128975330341, "params": [[-0.0505], [0.0565]], "bitstrings": ["000111", "000000"], "total_optimization_steps": 10, "probabilities": [0.01867620600332205, 0.018955802063580142], "optimization_time": 0.964914083480835} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(5) + 1.0 * Z(3) + 1.0 * Z(4) | 5 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.883129018214467) q[0];
h q[1];
h q[2];
ry(0.7986258573069778) q[2];
cx q[1], q[2];
ry(-0.7986258573069778) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.883129018214467) q[0];
cx q[2], q[0];
ry(-0.5798041950620261) q[1];
cx q[0], q[1];
ry(0.5798041950620261) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.959547 | [
1.766258036428934,
2.332300610211534,
-2.587020488435885,
1.5972517146139555,
-1.1596083901240521,
0.6855933309183274,
1.9438246399583414,
-0.12785913588270906,
0.19004137607467664,
0.007976453507783041,
2.5295109747006177,
1.5678024309300438,
2.3846878509826817,
-1.108856355073381,
-1.4... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
a51531ca07978522e4bcbb0967753d9f | 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": [183, 151], "expectation_value": -33.60553019351106, "params": [[[0.2792, 0.8857], [0.8983000000000001, 0.8943000000000001], [-0.3371, 0.8935000000000001], [0.6904, 0.893], [0.9008, 0.5670000000000001], [-0.2439, 0.48450000000000004], [0.8341000000000001, 0.6006], [0.6212, 0.8864000000000001], [0.2506, 0.300... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 20.5 * Z(1) + 7.0 * Z(0) + -5.5 * Z(2) + 19.5 * Z(4) + 8.0 * Z(3) + 15.5 * Z(6... | 15 | 9 | 2 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101101000"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4280456849854838) q[0];
ry(0.6147986853703632) q[1];
ry(0.09704616523358195) q[2];
ry(0.012151417493791117) q[3];
ry(1.3867054677626598) q[4];
ry(0.04351075966807613) q[5];
ry(0.18650656712907598) q[6];
ry(0.17109994235516274) q[7];
ry(0.8739377735628926) q[8];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
20.5,
7,
-5.5,
19.5,
8,
15.5,
7,
5.5,
-8.5
] | 0.972333 | [
0.4280456849854838,
0.6147986853703632,
0.09704616523358195,
0.012151417493791117,
1.3867054677626598,
0.04351075966807613,
0.18650656712907598,
0.17109994235516274,
0.8739377735628926,
-0.03727361971393537,
0.045150423230369593,
0.054245910415902945,
0.026277208769981575,
0.32903381814017... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 50 |
79c413169b46cfe9500c0e20c1b4b614 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1920], "expectation_value": -30.07695890257074, "params": [[[0.0022, 0.004200000000000001], [0.0027, 0.007], [0.1111, 0.0017000000000000001], [1.6127, 0.0077], [0.0026000000000000003, 0.0038], [-0.0026000000000000003, 0.0082], [0.0022, 0.0022], [0.0024000000000000002, 0.0043], [0.0022, 0.0083], [0.002600... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 1.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["00001111111"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8195543781486586) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.19071449437922416) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.8195543781486586) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.19071449437922416) q[3];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IIZIIIZIIII",
"IZIZIIIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIZIIII... | [
-2,
0.5,
-2,
0.5,
-2,
0.5,
-2.5,
-2.5,
-3,
0.5,
-3.5,
0.5,
1,
0.5,
-2.5,
1,
1,
-3,
-2.5,
0.5,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
1.5,
-3,
-3,
2,
-2.5,
-3,
1.5
] | 0.543372 | [
-0.8195543781486586,
-0.19071449437922416,
-0.7307506342410206,
-0.588887501569815,
-0.3427545463744422,
-0.08607766146452442,
-0.1270423023772967,
-0.25121106645579777,
-0.9685645492470774
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 233 |
f855126c9b49092b308e3852959f5914 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [954, 1023], "expectation_value": -14.601036903597866, "params": null, "bitstrings": ["0001000101", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.06637221174366992, 0.2789436892709922], "optimization_time": 270.5159447193146} | 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(5)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-0.1435631166408624) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-1.0140315114856828) q[1];
cx q[0], q[1];
rz(-0.14356311664086263) q[0];
rx(-0.9626135173594935) q[0];
cx q[2], q[1];
rz(-0.8519808512251207) q[1];
cx q[2], q[1];
rz(-... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIZIZIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"IIIIZZIIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIZIZIIIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IZIIZIIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIIZZIIIII",
"IIIZIIZIII"... | [
0.5,
-1.5,
-2,
-3,
1,
-2.5,
-3.5,
1,
-3,
0.5,
0.5,
-2,
-2.5,
-2.5,
0.5,
0.5,
-3,
0.5,
-2.5,
0.5,
1,
-2,
0.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.550326 | [
-0.1435631166408624,
-1.0140315114856828,
-0.8519808512251207,
-0.5349055375935025,
-0.2520554187758214,
-0.7424454671127177,
-0.46015174848800716,
-0.839946125599984,
-0.9626135173594935
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 213 |
cd168b9dfe6f067036c4fe2db7911cf9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target": 8}, {"sour... | {"states": [0, 252], "expectation_value": -5.827635915726708, "params": [0.7569, 0.0635, -0.5449, 0.0007, 0.81, 0.42610000000000003, -0.6561, 0.0056, 0.8546, 0.6091, 0.2232, 0.002, 0.8611000000000001, 0.7539, 0.2534, 0.0078000000000000005, 0.8917, 0.8087000000000001, 0.15410000000000001, 0.009000000000000001, 0.8768, 0... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -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(5) + 0.5 * Z(4) + -1.0 * Z(7) + -1.0 * Z(6) | 6 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5802789312613281) q[0];
h q[1];
cx q[1], q[0];
ry(-1.5802789312613281) q[0];
cx q[1], q[0];
ry(1.5268063039639994) q[1];
cx q[0], q[1];
ry(-1.5268063039639994) q[1];
cx q[0], q[1];
h q[2];
h q[3];
ry(1.5802789312613281) q[3];
cx q[2], q[3];
ry(-1.5802789312... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1,
-1,
-1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.972111 | [
1.9892431655151501,
0.7142516062950035,
0.8755641450907768,
1.0814906968595992,
3.1605578625226562,
3.053612607927999,
0.8750917081025122,
-3.3511950582096617,
-0.007979740898543579,
0.048044262639782905,
2.4031240840806913,
0.036474475075901486,
0.12272067719971122,
-0.7350906497724697,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 196 |
e314f97a67cf53680761d0291b0562fe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 6}, {"weight": 2, "source": 2, "targ... | {"states": [222, 214], "expectation_value": -30.327033624431945, "params": [[-0.030600000000000002, -0.0078000000000000005, 0.0023, 0.030600000000000002], [0.067, 0.060500000000000005, 0.0589, 0.0229]], "bitstrings": ["100100001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.00943254208166822, 0.01... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.7848721589206132) q[0];
rz(0.04194138563454514) q[0];
ry(0.39865747344183) q[1];
rz(-0.0612521465577483) q[1];
cx q[1], q[0];
ry(-0.006687974365908147) q[0];
rz(-0.03836999471803828) q[0];
ry(1.0096850989931674) q[1];
rz(-0.14705391414274013) q[1];
ry(0.07953377028... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
0.5,
17.5,
1,
15,
9.5,
21.5,
17,
5
] | 0.973892 | [
0.7848721589206132,
0.04194138563454514,
0.39865747344183,
-0.0612521465577483,
0.0795337702823364,
0.22254094005839722,
0.1050209968436272,
-0.11038104505875938,
-0.6164426647618211,
-0.038148614308604493,
-0.06769940739439982,
-0.5194767305362138,
-0.6533792819673797,
0.13250594591317685... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 28 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 3], "expectation_value": -4.088962584956267, "params": [[-0.0629], [0.07060000000000001]], "bitstrings": ["111010", "111100"], "total_optimization_steps": 10, "probabilities": [0.02134420084006957, 0.021639858081324105], "optimization_time": 2.6637237071990967} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
c... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
-5.75,
-6.25,
-6,
-6,
-5.5,
-5.5
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
-7601439258279430508 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 3, 4, 5, 9], [2, 3, 4, 5, 6, 8, 9], [8, 7], [0, 3, 4, 6, 8, 9], [0, 2, 6, 8, 9], [0, 1, 2, 5], [0, 2, 7], [5, 7]]} | {"states": [755, 754], "expectation_value": -2.2129794260104263, "params": null, "bitstrings": ["0100001100", "0100001101"], "total_optimization_steps": 80, "probabilities": [0.12882330685808654, 0.623204985064752], "optimization_time": 896.0254476070404} | 0.11666666666666667 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.09047619047619047 * (Z(4) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.05714285714285... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.3738095238095243, -2.3738095238095243, -2.3738095238095243], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.2928571428571427, "smallest_bitstrings": ["0100101100", "0101001100", "0100001101"], "largest_eigenvalue": 6.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(1.6278526108840907) q[0];
h q[1];
ry(-0.3591875712386282) q[1];
ry(-2.587258721612059) q[2];
rz(-pi) q[2];
h q[3];
ry(-2.1711755983366245) q[4];
rz(-pi) q[4];
h q[5];
ry(0.8371801422880483) q[5];
h q[6];
ry(-0.10798491962173123) q[6];
h q[7];
ry(-0.353157278... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.4845) 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]... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII"... | [
0.11666666666666667,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.09047619047619047,
0.11666666666666667,
0.11666666666666667,
0.05714285714285714,
0.05714285714285714,
0.03333333333333333,
0.11666666666666667,
0.09047619047619047,
0.090476190476190... | 0.975951 | [
1.6278526108840907,
-0.7063145571872949,
1.4690221814199373,
1.6743602845760965,
-1.044978120017696,
0.4909978373669145,
0.7167002784209032,
0.5995242327925177,
-0.7183751424772564,
-0.209884681669994,
-0.2269737497878814,
-0.3266994244522449,
0.4881612180708705,
0.01053459477154036,
-0.... | {
"n_parameters": 69,
"n_qubits": 10,
"optimal_eigenvalue": -2.3738095238095243,
"target_ratio": 0.97,
"target_value": -2.3025952380952384
} | 23 |
cfd0ed45a418a60a41de202a2c3ccbc7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [378, 346], "expectation_value": -47.085580182754136, "params": [0.0013000000000000002, -0.6062000000000001, 1.2036, 0.3881, 0.7552, 0.5589000000000001, 1.1967, 0.2958, 0.7478, 0.4455, 1.2015, 0.0358, 1.2021000000000002, 0.188, 0.5946, 0.3645, 1.2075, 0.4021, 0.22560000000000002, 0.7022, 0.0035, 0.0061, 1.20... | 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(0) @ Z(5)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(9) @ Z(8)) + 8.5 * Z(1) + 3.5 * Z(2) + 8.0 * Z(3) + 3.5 * Z(4) + 13.5 * Z(6) + 2.5 * Z(7) + 11.5 * Z(5) + -3.0 * ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 113.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14323189611153153) q[0];
rz(-0.5611267051065596) q[0];
rx(1.1654244586705358) q[1];
rz(0.15372467777596835) q[1];
rx(0.1524334637400403) q[2];
rz(0.8569112867276251) q[2];
rx(1.1589229133495502) q[3];
rz(0.46860661660380243) q[3];
rx(0.14517279228825095) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIIIZIIIIZ",
"IZIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
8.5,
3.5,
8,
3.5,
13.5,
2.5,
11.5,
-3,
6.5,
-1
] | 0.978973 | [
-0.14323189611153153,
-0.2411748222844279,
1.1654244586705358,
0.15372467777596835,
0.1524334637400403,
0.8569112867276251,
1.1589229133495502,
0.46860661660380243,
0.14517279228825095,
0.05335405498172385,
1.3007131532631238,
0.34296690604032737,
0.7940149574443892,
0.2731949297343183,
... | {
"n_parameters": 88,
"n_qubits": 10,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 17 |
bfcc016c6d32554855d911056b5152b6 | 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": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -16.010858986175265, "params": [-0.0031000000000000003, 0.5175000000000001, 0.0029000000000000002, 0.5935, 0.0029000000000000002, -0.5339, 0.0025, 0.5135000000000001, 0.0028, 0.5813, 0.0026000000000000003, 0.6092000000000001, 0.0028, 0.6074, 0.8099000000000001, -0.0011, -0.0032, ... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 3 | 8 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
dab40a2f654e93a72357d226e03c7017 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 48], "expectation_value": -3.9741052551015095, "params": null, "bitstrings": ["101110", "001111"], "total_optimization_steps": 15, "probabilities": [0.07397911536985187, 0.9005728489954137], "optimization_time": 11.388883113861084} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.5
] | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
109dd65f843c7effe1b685156edca6d7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [5, 7], "expectation_value": -11.84477942681327, "params": [[[0.3977, 0.1966], [0.48410000000000003, -0.1736], [0.42400000000000004, 0.1845], [0.48510000000000003, 0.17320000000000002], [0.4839, -0.1734], [0.803, 0.0016], [0.7911, 0.0022], [0.7964, -0.0021000000000000003]], [[0.39630000000000004, 0.0022], [0... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
f3cb23d760ae536deab27d0ff48dbb53 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 6},... | {"states": [2047, 1535], "expectation_value": -17.743094632328997, "params": [[[0.0018000000000000002, 2.7047000000000003], [-1.6221, -0.0016], [-0.0024000000000000002, -0.0021000000000000003], [-0.0018000000000000002, -0.0019], [-0.0017000000000000001, 0.0022], [-0.003, -0.0021000000000000003], [-0.0024000000000000002... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(6) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -2.5 * (Z(7) @ Z(8)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(9)) + -... | 15 | 11 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["01000000000", "11100000000"], "largest_eigenvalue": 29.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.012273839516449222) q[0];
ry(-2.522963336695275) q[1];
ry(0.01782940426038812) q[2];
ry(-0.06535469655505721) q[3];
ry(-0.15268871397125122) q[4];
ry(0.034174043120945685) q[5];
ry(0.01782940426038812) q[6];
ry(-0.0159616543200172) q[7];
ry(0.034174043120945685) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"IZIIZIIIIII",
"ZIZIIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"ZIIZIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIZIII... | [
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
1,
-2.5,
1,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.982105 | [
0.012273839516449222,
-2.522963336695275,
0.01782940426038812,
-0.06535469655505721,
-0.15268871397125122,
0.034174043120945685,
-0.0159616543200172,
3.176604198347075,
0.018872657566481814,
0.014288347301965272,
-0.019168599640382734,
0.013389450525301718,
-0.02144230919880631,
-0.0835293... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 20 |
bb94fc95e3d2399ab0a553ee86bc119a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6},... | {"states": [2047, 2015], "expectation_value": -0.5800057421858983, "params": [[-0.07740000000000001], [0.07590000000000001]], "bitstrings": ["00000000000", "00000100000"], "total_optimization_steps": 10, "probabilities": [0.0007276415870890434, 0.0007448664006776622], "optimization_time": 1.7508642673492432} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 *... | 5 | 11 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["00000100000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0337159858545584) q[0];
rz(1.3254802367244434) q[0];
rx(-2.7029055459339055) q[1];
rz(1.6855173930529785) q[1];
rx(-1.5643458476710366) q[2];
rz(-3.1297779369385585) q[2];
rx(-1.5261529761990706) q[3];
rz(-3.0675021690505506) q[3];
rx(-2.935345799645677) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x1) q[4]... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.89303 | [
3.2494693213250283,
-0.2453160900704532,
3.5802797612456807,
0.11472106625808234,
-1.5643458476710368,
1.5826110434461316,
-1.5261529761990709,
1.6448868113341397,
-2.935345799645677,
2.722458642384179,
1.3536274534815813,
-1.4151687466712484,
1.3397802362892122,
1.2713440976728159,
3.25... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 500 |
0782d3cd57e18fd1ecafaa7e981038f9 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.02078730413278225, "params": [[-0.0724], [0.0728]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.658766053494771e-05, 1.658766053494771e-05], "optimization_time": 12.018709421157837} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0006714876033057851 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0006714876033057851 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0192148760330144], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.019214876032989, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0159090909090733} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.2567896002890729) q[0];
h q[1];
cx q[1], q[0];
ry(0.2567896002890729) q[0];
cx q[1], q[0];
ry(0.23560660428071853) q[1];
cx q[0], q[1];
ry(-0.23560660428071853) q[1];
cx q[0], q[1];
ry(0.7604729356654801) q[1];
ry(-0.18604225260861412) q[0];
h q[2];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"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,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0008264462809917356,
-0.0006714876033057851,
-0.0008264462809917356,
-0.0006714876033057851,
0.25,
0.0002066115702479339,
0.0003099173553719008,
-0.0008264462809917356,
0.0002066115702479339,
0.0003099173553719008,
-0.0008264... | 0.970334 | [
-1.0496079499719242,
-0.8350378171455128,
-0.8738122170818095,
-0.7530441998686795,
-0.5135792005781458,
-1.8000618569524787,
-0.2975580869000305,
0.1273937779382094,
-0.9667985102258705,
1.1874489436854012,
0.8355887902716849,
-0.46464224077895894,
0.9857191080112008,
-0.12373420036997135... | {
"n_parameters": 95,
"n_qubits": 16,
"optimal_eigenvalue": -2.019214876032997,
"target_ratio": 0.97,
"target_value": -1.9586384297520072
} | 111 |
74f3db266dbfc29b2e3165b97e91cad0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [31, 11], "expectation_value": -4.025672445479007, "params": [[-0.15030000000000002], [0.1673]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 20, "probabilities": [0.024517665110284914, 0.025396424098734636], "optimization_time": 2.8647286891937256} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) q[4];
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] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
80414d2e2eb4a15dac1e8a7f58be727c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [655, 1679], "expectation_value": -2.951357682046318, "params": [1.6691, 0.0017000000000000001, 3.1619, 0.0048000000000000004, -0.0021000000000000003, 0.0032, 3.1612, 0.0002, -0.0027, 0.0009000000000000001, -0.0023, 0.0083, 0.434, 0.0008, 3.1604, 0.0083, 3.1617, 0.0076, 3.1401000000000003, 0.0081, 3.1619, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 18 | 11 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.5, "smallest_bitstrings": ["10000101010", "01100110000", "10001100010", "00100110100", "11000100010", "00100111000", "10... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06094240650319222) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.06094240650319222) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.06094240650319222) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(0.06094240650319222) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIZZIIII",
"IIIIZIIIIIZ",
"IIIIIIZIIZI",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.12... | 0.985922 | [
0.06094240650319222,
-1.401133667911887,
1.6260910595462086,
1.631365084044293
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 22 |
0ae9b6f2b61290137ab22e2dafb0c164 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 4}, {"weight": 14, "source"... | {"states": [121, 61], "expectation_value": -24.399583881092028, "params": [[-0.047400000000000005, -0.0013000000000000002, 0.0097], [0.0806, 0.0792, 0.0789]], "bitstrings": ["0000110", "1000010"], "total_optimization_steps": 10, "probabilities": [0.030721596503443572, 0.03949859664464104], "optimization_time": 7.552317... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 12.0 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 112.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
12,
7,
12.5,
13,
11.5,
4.5,
13
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
8ccb61531a0518dab46daa7987f55ae4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 455], "expectation_value": -16.37408470580471, "params": [0.7223, 0.6336, -0.1145, 0.2931, 0.8098000000000001, 0.3378, 0.1038, 0.8522000000000001, 0.785, 0.46730000000000005, 0.0023, 0.6881, -0.0002, 0.4803, -0.0099, 0.6960000000000001, 0.0019, 0.5132, 0.030100000000000002, 0.44220000000000004, -0.0054, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 6 | 9 | 4 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.996593178178558) q[0];
h q[1];
h q[2];
ry(0.5888832353507985) q[2];
cx q[1], q[2];
ry(-0.5888832353507985) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.996593178178558) q[0];
cx q[2], q[0];
ry(-0.6875011369209832) q[1];
cx q[0], q[1];
ry(0.6875011369209832) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5
] | 0.959988 | [
-1.573475623927345,
-1.5745368026595388,
1.177766470701597,
1.993186356357116,
-1.3750022738419665,
0.7869126081971946,
-0.26281594791650864,
-0.7899417559689463,
-0.024631791748175664,
-0.08767859512836484,
2.4583506114253013,
0.020494138931016335,
-0.013105036148354052,
-0.01474806033721... | {
"n_parameters": 28,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
3a1b6a9bf7270007712b664c84a12e64 | 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": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [116, 113], "expectation_value": -5.499898991887372, "params": null, "bitstrings": ["0001011", "0001110"], "total_optimization_steps": 33, "probabilities": [1.6350254322700684e-05, 0.999930372763856], "optimization_time": 36.84373664855957} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.98944785392387) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-3.1246675978861393) q[1];
h q[2];
ry(1.5808721722217702) q[2];
cx q[2], q[0];
ry(-0.011699920057431173) q[0];
cx q[2], q[0];
ry(0.01026944797253282) q[2];
h q[3];
ry(-1.5438572033420326) q[3];
ry(-0.03643268760... | 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",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1.5,
0,
0,
-1
] | 0.993193 | [
-1.5438572033420326,
-1.5049965043560467,
-1.510499249238443,
1.5808721722217702,
1.4069516070715422,
-0.04772877990331542,
0.023399840114862347,
0.1835915608405338,
0.01369842055356045,
0.02053889594506564,
0.06291702091381643,
0.013292492936495856,
-0.1050329714841247
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
f619afa25c1921f996d128a1dfefef72 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [1450, 1386], "expectation_value": -1.514598182439437, "params": [0.058800000000000005, -0.052500000000000005, 0.5962000000000001, 2.5502000000000002, 3.1356, 3.1381, 0.0036000000000000003, -0.0038, 2.056, 2.23, -0.1236, -0.037700000000000004, 1.5716, 1.5664, -0.035300000000000005, 0.0219, 1.5781, 1.5686, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0017499999999999998 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0017499999999999998 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 14 | 12 | 1 | {"smallest_eigenvalues": [-1.52, -1.52], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5159999999999996, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5229999999999997} | 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[... | {"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,
-0.0017499999999999998,
-0.0017499999999999998,
0.25,
-0.0017499999999999998,
0.00025000000000000006,
-0.0017499999999999998,
0.00025000000000000006,
0.25,
0.00075,
0.00025000000000000006,
0.00025000000000000006,
0.00075,
0.00025000000000000006,
0.00025000000000000006,
0.25,
0.... | 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 |
-5665932545785852545 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5, 6, 8], [0, 2, 6, 7, 8], [0, 1]]} | {"states": [235, 243], "expectation_value": -0.019101232653547753, "params": [[-0.08320000000000001], [0.0777]], "bitstrings": ["100010100", "100001100"], "total_optimization_steps": 10, "probabilities": [0.002033716953305921, 0.002033716953305921], "optimization_time": 4.639576435089111} | 0.05 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(5)) + 0.1 * (Z(8) @ Z(6)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(8)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(8)) +... | 1 | 9 | 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[9] q;
h q[0];
h q[1];
ry(-0.42903007427717343) q[1];
cx q[0], q[1];
ry(0.42903007427717343) q[1];
cx q[0], q[1];
ry(1.2564484336733082) q[0];
ry(-0.8504130810917834) q[1];
h q[2];
ry(-0.16889248696437104) q[2];
ry(-2.177607563981446) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
h q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5... | null | {"circuits": [], "gradients": []} | [
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZIZ",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIIIZZ",
"IIIIZIIII",
"... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.1,
0.1,
0.1,
0.19999999999999996,
0.19999999999999996,
0.09999999999999998,
0.1,
0.1,
0
] | 0.971454 | [
-0.8580601485543469,
1.1003556356469546,
-0.6728215521737944,
1.1275682944407879,
0.3121855960527072,
-0.355183057835978,
0.32513791629928146,
0.5853775086780021,
-0.0076803410022962745,
0.4739524072924155,
-0.12959750452796856,
0.28968819463618223,
-0.33778497392874207,
-0.158087151418688... | {
"n_parameters": 64,
"n_qubits": 9,
"optimal_eigenvalue": -0.8999999999999999,
"target_ratio": 0.97,
"target_value": -0.8729999999999999
} | 13 |
949642de8ee5e7ad5475d2650121814b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight"... | {"states": [978, 466], "expectation_value": -69.21674632642573, "params": [0.9684, 0.3788, 0.9678, 0.0053, 1.3953, 0.0458, 1.397, 0.0057, 1.4025, 0.0216, 1.3997000000000002, 0.0039000000000000003, 1.3943, -0.0439, 1.3987, 0.0041, -0.002, 0.8466, -0.0012000000000000001, 0.00030000000000000003, 1.4007, 0.0678, 1.4016, 0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(8)) + 15.5 * Z(1) + 10.5 * Z(0) + 12.5 * Z(2) + 6.5 * Z(3) + 5.5 * Z(5) + -4.0 * Z(4... | 5 | 10 | 1 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["1000101101"], "largest_eigenvalue": 124.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.21307147512409821) q[0];
rz(1.680505647780202) q[0];
rx(0.8593568907544071) q[1];
rz(1.4632477992031836) q[1];
rx(0.7444464412701418) q[2];
rz(1.342531064814935) q[2];
rx(0.9345811458871834) q[3];
rz(1.5964539473975439) q[3];
rx(0.060503196412075015) q[4];
rz(1.61... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZIIIIZII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
15.5,
10.5,
12.5,
6.5,
5.5,
-4,
1,
2.5,
8.5,
5
] | 0.97263 | [
0.2130714751240982,
0.10970932098530564,
0.8593568907544071,
-0.10754852759171282,
0.7444464412701418,
-0.22826526197996114,
0.9345811458871833,
0.025657620602647147,
0.06050319641207501,
0.041097069572982564,
0.7568052508063727,
0.07110357773564926,
0.09091026222005893,
-0.327115887800926... | {
"n_parameters": 116,
"n_qubits": 10,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 10 |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [53, 54], "expectation_value": -10.331102050909694, "params": null, "bitstrings": ["1111001010", "1111001001"], "total_optimization_steps": 56, "probabilities": [0.06602023930105408, 0.9316334213246862], "optimization_time": 95.4429030418396} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 4 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"], "largest_eigenvalue": 26.666666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008562219394374999) q[0];
rz(-0.18065508670005936) q[0];
rx(-0.0028228946995007883) q[1];
rz(-0.28081080015860127) q[1];
rx(0.008562219394374997) q[2];
rz(0.009275911461020393) q[2];
rx(0.008562219394374997) q[3];
rz(0.16646644706220792) q[3];
rx(0.440647895616474... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.2796) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-0.5,
-1,
0.6666666666666667,
0.5,
-0.5,
-1,
-0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
0.5,
0.5,
-1,
1,
1,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-2.5,
1.1102230246251565e-16,
2.220446049250313e-16,
0,
2.5,
2.5,
2,
4,
-0.5,
-0.5
] | 0.979582 | [
0.008562219394374997,
-0.15097596248673917,
-0.0028228946995007883,
-0.28081080015860127,
0.009275911461020393,
0.16646644706220792,
0.4406478956164749,
-0.09140447979676149,
2.665613078940768,
-0.11848032829119896,
3.109469190815953,
0.2534456444784792,
3.2595205084667747,
-0.077611468584... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -10.333333333333332,
"target_ratio": 0.97,
"target_value": -10.023333333333332
} | 11 |
1dab790a5385881880e7ae8e872128f0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2},... | {"states": [0, 31], "expectation_value": -3.671114104958837, "params": [[0.062200000000000005], [-0.0506]], "bitstrings": ["11111111111", "11111100000"], "total_optimization_steps": 10, "probabilities": [0.0011019129223276349, 0.0011441379928908287], "optimization_time": 1.1253015995025635} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(1) @ Z(2)) + -3.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + -2... | 1 | 11 | 1 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["11111100000"], "largest_eigenvalue": 39.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5774902429374026) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.2504728087723124) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.5109698801393738) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.2504728087723... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"ZIIZIIIII... | [
-3,
1,
2,
-3.5,
-3.5,
-3.5,
1,
-3.5,
-3,
-3,
1,
-3.5,
-3,
-3,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2,
-3,
-3,
2,
1.5,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.581774 | [
-0.5774902429374026,
-0.2504728087723124,
-0.3378371126522674,
-0.5109698801393738,
-0.6418313863259684,
-0.3811171367628781,
-0.8537801926730147,
0.29778129138414466,
-1.1035046536763207
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 237 |
-5878809023929893674 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3], [1, 9], [8, 3, 4], [1, 12, 7], [2, 12, 6], [0, 1, 6], [11, 2, 3], [10, 4], [9, 7], [9, 12, 4], [0, 12, 6], [10, 5], [8, 4, 7], [3, 7], [0, 9, 11], [2, 4], [11, 6], [0, 5], [0, 10, 11], [3, 5, 6], [0, 9, 4], [9, 10], [8, 11], [2, 12, 7], [10, 3... | {"states": [970, 971], "expectation_value": -4.558333516580183, "params": [[[1.1852, 0.0015, 0.0027, 0.0074], [0.7473000000000001, -0.0037, 0.25270000000000004, 0.0007], [-0.0028, 0.008400000000000001, 0.007, 0.0017000000000000001], [0.9505, -0.0026000000000000003, 1.0992, 0.0095], [1.6091, 0.0085, 0.0005, 0.0029000000... | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @... | 12 | 13 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666668, "smallest_bitstrings": ["1110000110100"], "largest_eigenvalue": 24.00000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5175428292396239) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(-0.05779212117548567) q[1];
cx q[0], q[1];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(-0.05779212117548567) q[8];
cx q[3], q[8];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIIIIZZ",
"IIIZIIIIIIIIZ",
"IIIZIIIIIIIZI",
"IIIIZIIIIZIII",
"IIIZZIIIIIIII",
"IIIIIIIIZZIII",
"IIIIIIIIZIIIZ",
"IIIZIIIIZIIII",
"IIIIZIIIZIIII",
"ZIIIIIIIIIIIZ",
"ZIIIIIIIIIIZI",
"ZIIZIIIIIIIII",
"ZIIIIIIIZIIII",
"IIIIIZIIIZIII",
"IIIIIZIIIIIIZ",
"IIIIIZIIIII... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.1666666666666... | 0.433154 | [
0.5175428292396239,
-0.05779212117548567,
0.18439293566649384,
0.34631865883928603,
-0.1738910788495897,
0.8236485365747928,
0.8272490089020823,
-0.830166107711886
] | {
"n_parameters": 8,
"n_qubits": 13,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 204 |
fae7d5e83e81991740c11329a11db758 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"sour... | {"states": [83, 115], "expectation_value": -6.756878842680245, "params": [[0.003, -0.0037, 0.9953000000000001, -0.0196, 0.9944000000000001, 0.0028, -0.0149, 0.4642, 0.7007], [0.0034000000000000002, -0.0028, 0.9999, 0.5847, 0.9933000000000001, 0.003, -0.0074, 1.0009000000000001, 1.0062], [0.0032, -0.0041, 0.5526, 0.3921... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -0.5 * Z(2) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["110001100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.034476227084362814) q[0];
ry(0.07539009762476981) q[1];
ry(1.1905606790773966) q[2];
ry(-0.1496039672890847) q[3];
ry(1.2405176127753523) q[4];
ry(0.09532856011693316) q[5];
ry(-0.10051329993608396) q[6];
ry(0.5371327880948988) q[7];
ry(0.5661617424795028) q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-1,
-1.5,
-2,
-0.5,
-0.5
] | 0.978218 | [
0.034476227084362814,
0.07539009762476981,
1.1905606790773966,
-0.1496039672890847,
1.2405176127753523,
0.09532856011693316,
-0.10051329993608396,
0.5371327880948988,
0.5661617424795028,
0.04897028030649372,
-0.20068276007610214,
1.3237719020767755,
0.8281488147358886,
1.2626110981199414,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 12 |
605ce0581fb32d197e86365115db7384 | 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": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target":... | {"states": [291, 295], "expectation_value": -2.973751387097473, "params": [[[1.3192000000000002, 0.009300000000000001], [1.604, 0.0013000000000000002], [0.36920000000000003, 0.0079], [0.37270000000000003, 0.0067], [1.6142, 0.0097], [0.37260000000000004, 0.008400000000000001], [0.006, 0.0008], [1.5916000000000001, 0.004... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(5) + 0.0 * Z(1) + -1.5 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011011100", "1011010001", "1011011000", "1001011100", "0011010101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2893771976761901) q[0];
rz(0.002952944151350445) q[0];
rx(3.5154192109597693) q[1];
rz(-1.5153691918269692) q[1];
rx(-0.1960265399347881) q[2];
rz(1.1591512189015254) q[2];
rx(0.29741926863910356) q[3];
rz(-0.05519777859911276) q[3];
rx(3.0880843503282818) 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": []} | [
"IIIIIIIZIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIIIZIIIZI",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIIIZZIII",
"ZIIZIIIIII",
"ZIIIIIZIII",
"IZIIZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"ZIIIIIIIII"... | [
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,
-1,
0,
-1.5,
-1,
0,
-0.5,
0
] | 0.970322 | [
0.2893771976761901,
0.002952944151350445,
3.5154192109597693,
-1.5153691918269692,
-0.1960265399347881,
1.1591512189015254,
0.29741926863910356,
-0.05519777859911276,
3.0880843503282818,
0.04218641782779872,
-0.05824086507071006,
-0.026306327582544642,
0.1743775339834132,
-0.49582369012701... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 29 |
2430569917343443146 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 4, 5], [8, 1, 6], [3, 6], [0, 1, 2, 8], [8, 5, 7], [0, 2, 4], [8, 2, 3], [0, 3], [8, 4, 6, 7], [1, 2, 3, 7], [3, 4, 7]]} | {"states": [185, 327], "expectation_value": -0.6074382992579861, "params": [[0.1767], [-0.18380000000000002]], "bitstrings": ["101000110", "010111000"], "total_optimization_steps": 20, "probabilities": [0.003489965358658874, 0.003523854551119664], "optimization_time": 4.484362840652466} | 0.3333333333333333 * (Z(8) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(8)) + 0.25 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.083333333333334, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(1.1728346821634404e-07) q[8];
cx q[2], q[8];
cx q[2], q[4];
rz(4.122685421482231e-09) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(1.9116890256369176e-08) q[5];
cx q[2], q[5];
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] 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 ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IIIIZIZII",
"ZIIIZIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZZIIII",
"IIIIIIZZI",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIIIIZZII",
"ZIIIIZIII",
"IIIIZZIII",
"IIIIIZIZI",
"IIZIIZIII",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"... | [
0.3333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.25,
0.08333333333333333,
0.1666666... | 0.894737 | [
1.1728346821634404e-7,
4.122685421482231e-9,
-2.339781180385564e-9,
1.9116890256369176e-8,
-5.286548913862584e-8,
4.7123890265483475,
1.5707963112423184,
1.5707963966586296,
-1.570796308391342,
1.5707964262356504,
1.5707963301689116,
-1.5707963143768755
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 335 |
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": 28.820947647094727} | -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 | 4 | {"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 |
17cd9690776ef862a22ab9b1dedee537 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [420, 421], "expectation_value": -2.2572563234513514, "params": [0.4058, 0.0031000000000000003, 0.403, 0.0005, 0.39730000000000004, 0.0223, 0.3972, 0.0089, 0.07970000000000001, 0.1665, 0.0791, 0.17170000000000002, 0.3936, 0.007200000000000001, 0.4012, 0.009000000000000001, 0.0026000000000000003, 0.3, 0.00420... | 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(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + ... | 7 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.375, "smallest_bitstrings": ["100011001", "010011001", "001010110", "001110010", "011010010", "001011010", "010010011", "001011001", "001011100"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5851367475001066) q[0];
rz(pi/2) q[0];
ry(1.321053727061239) q[1];
ry(0.12324610030584417) q[2];
ry(1.5162608346673625) q[3];
ry(0.042821038757284935) q[4];
ry(0.12531475925759072) q[5];
ry(1.9840397098463025) q[6];
ry(-0.2658856438314683) q[7];
ry(1.78718324224326... | 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIZI",
"IIZIIZIZI",
"IIZZIIIZI",
"IIZZIZIII",
"IIZZIZIZI",
"IZIZIIIII",
"IZZIIIIII",
"... | [
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,
0.25,
0.25,
-0.25,
0.5,
0,
0.125,
-0.25,
0.125,
-0.75,
-0.125,
0.125,
-0.25,
-0.25
] | 0.973317 | [
1.5851367475001066,
1.321053727061239,
0.12324610030584417,
1.5162608346673625,
0.042821038757284935,
0.12531475925759072,
1.9840397098463025,
-0.2658856438314683,
1.7871832422432674,
1.8665330599298229,
-0.8456814732957607,
-0.49332803036768214,
0.27302370500700174,
0.0860476850515173,
... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 17 |
-639020489791202921 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 5, 6], [0, 2], [2, 3]]} | {"states": [53, 109], "expectation_value": -0.6304746968036026, "params": [[0.3784], [-0.3684]], "bitstrings": ["1001010", "0010010"], "total_optimization_steps": 40, "probabilities": [0.022882760094735784, 0.022882760094735784], "optimization_time": 1.6296167373657227} | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0010010", "1001010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.8813477697181047) q[0];
rz(-1.335419993544154) q[0];
rx(0.057267010851172105) q[1];
rz(-0.2530327296853211) q[1];
rx(3.0931851629184517) q[2];
rz(0.1652580668934845) q[2];
rx(3.075860889917606) q[3];
rz(-0.8828260991174662) q[3];
rx(3.0939127096607697) q[4];
rz(1.1... | 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[5], q[1];
rz(x1) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"IIIIZIZ",
"IIIZZII",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666666,
0,
0,
0
] | 0.978003 | [
2.8813477697181047,
-1.335419993544154,
0.057267010851172105,
-0.2530327296853211,
3.0931851629184517,
0.1652580668934845,
3.075860889917606,
-0.8828260991174662,
3.0939127096607697,
1.1643995737504487,
-0.10142055827083851,
-1.3170938025679386,
2.641562296784934,
1.6477460360059646
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 27 |
d95b68826fd82a56bc7a64742cbebcc0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [168, 170], "expectation_value": -6.54472462292552, "params": [0.1757, 0.17200000000000001, 0.49410000000000004, 0.4929, -0.0038, 0.0005, 0.441, 0.4389, 0.0061, 0.0053, 0.49560000000000004, 0.4944, 0.0018000000000000002, -0.0002, 0.34040000000000004, 0.3421, -0.007200000000000001, -0.0021000000000000003, 0.1... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101010101", "001010111"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.5572950602216786) q[0];
rz(-0.343642823492063) q[0];
rx(1.8664326214128488) q[1];
rz(-0.012198739714726261) q[1];
cx q[1], q[0];
rz(-0.11815055462704349) q[0];
cx q[1], q[0];
rx(0.5817949643772036) q[0];
rz(0.4946490087901991) q[0];
rx(1.704069795307867) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIZIIII",
"IIIIZIIZI",
"IZZIIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
0
] | 0.970206 | [
-0.5572950602216786,
-0.46179337811910615,
1.8664326214128488,
-0.012198739714726261,
0.13730296224763547,
-0.23032705366668116,
1.3448206908637996,
0.2841837796354386,
-0.26248863075843526,
-0.8971782007736602,
1.5157718731470349,
-0.2860094266525595,
0.05809192447520162,
0.61131719361343... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 25 |
97aa58ef0b431934bfaa14698e7612e3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 29], "expectation_value": -0.24495540942392782, "params": [[-0.0882], [0.0814]], "bitstrings": ["010110", "100010"], "total_optimization_steps": 10, "probabilities": [0.01790206744940319, 0.01874486769145149], "optimization_time": 1.9018261432647705} | 0.5 * (Z(0) @ 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(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
0,
0
] | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
1488d8cf8514de14dc21aa1b6b5c22ab | 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": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 2, "source":... | {"states": [1280, 1284], "expectation_value": -12.565241752313439, "params": [0.0275, 0.34140000000000004, -0.023200000000000002, 0.0007, 1.0514000000000001, 0.5252, 2.0942000000000003, 0.0039000000000000003, -0.003, -0.7962, -0.003, 0.0099, 1.5841, 0.45980000000000004, 1.5532000000000001, 0.0022, 0.0028, -0.7804, 0.00... | -0.25 * (Z(0) @ Z(9)) + -0.5 * (Z(2) @ Z(9)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(9)) + -1.25 * (Z(8... | 5 | 12 | 1 | {"smallest_eigenvalues": [-13.0, -13.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.0, "smallest_bitstrings": ["101011111011", "101011111001"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.038802304427497346) q[0];
rz(pi/2) q[0];
ry(0.022804269371240846) q[1];
ry(-0.15565231989293704) q[2];
ry(0.3513960676645956) q[3];
ry(0.16297371378520265) q[4];
ry(-0.11636948938142584) q[5];
ry(0.11791829247592575) q[6];
ry(-0.23717224231839298) q[7];
ry(0.0802... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIZIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIZII",
"IZIIIZIII... | [
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
1.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-1.25,
-0.75,
-1.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
-0.5,
1.25,
-0.5,
-0.75,
-0.5,
0.25,
-0.25,
-1.25,
0.5,
0.5
] | 0.971847 | [
-0.038802304427497346,
0.022804269371240846,
-0.15565231989293704,
0.3513960676645956,
0.16297371378520265,
-0.11636948938142584,
0.11791829247592575,
-0.23717224231839298,
0.08020050909627167,
-0.34602874846742504,
-0.2673004698722899,
0.13896924777497938,
0.22430179103704845,
0.873322400... | {
"n_parameters": 170,
"n_qubits": 12,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 18 |
67f2dc7231d0bca43ec43f13d2867d44 | 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": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [1183, 31], "expectation_value": -22.49329759869558, "params": null, "bitstrings": ["01101100000", "11111100000"], "total_optimization_steps": 100, "probabilities": [0.09355560372007728, 0.4766002451415297], "optimization_time": 258.69042563438416} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(4)) + -1.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["11111100000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8657115893676179) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.17227428824494487) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.0844123997530538) q[2];
cx q[1], q[2];
rz(0.8657115893676179) q[3];
cx q[0], q[3];
... | 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[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] = m... | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"ZIIIZIIIIII",
"ZIIZIIIIIII",
"IIIZZIIIIII",
"ZZIIIIIIIII",
"IZIZIIIII... | [
-2.5,
1,
-2.5,
0.5,
0.5,
1,
0.5,
0.5,
-2,
-3,
1.5,
-3,
1,
-3,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-1.5,
-2.5,
-3,
1.5,
-2.5,
-2.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.493358 | [
0.8657115893676179,
0.17227428824494487,
0.0844123997530538,
0.5195560908411037,
0.5495222499204575,
0.24754394797641555,
1.2647051759020187,
0.9547289036375632
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 198 |
97aa58ef0b431934bfaa14698e7612e3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [56, 26], "expectation_value": -2.777927930726076, "params": null, "bitstrings": ["1000111", "1100101"], "total_optimization_steps": 33, "probabilities": [0.09171134487155203, 0.796704931832939], "optimization_time": 75.41668844223022} | 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(1) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.8125, "smallest_bitstrings": ["0101101", "1100101", "1000111"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | 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(-1.4868) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IZIIIZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IIZZZII",
"IZIZZII",
"ZIIZZII",
"IZZIZII",
"ZIZIZII",
"ZZIIZII",
"IZZZIII",
"ZIZZIII",
"ZZI... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
182a069273641020dc26595ce4905930 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [338, 346], "expectation_value": -2.6237073047829598, "params": [[1.4055, 0.009600000000000001, 1.4015, 0.0022, 0.9426, 0.7657, 0.1073, 1.4073, 0.0014], [1.4046, 0.1922, 1.4055, 0.0021000000000000003, 1.4047, 1.4075, 0.36310000000000003, 1.4062000000000001, 0.1834]], "bitstrings": ["010101101", "010100101"],... | 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(5) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) ... | 10 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["010110010", "010100011", "001100101", "100100101", "001110100", "010100101", "110100001"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.007242464658648869) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.007242464658648869) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.007242464658648869) q[5];
cx q[0], q[5];
rz(-1.7587402785726103) q[5];
rx(1.1264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIZZIIII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZZIII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZZIIIIIZ",
"ZIIIZIIII",
"IIZIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIIZII",
"... | [
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,
0.5,
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,
0.125,
-0.75,
-0.25,
0.125,
-0.125
] | 0.985084 | [
0.007242464658648869,
1.3643866291606521,
-1.75874027857261,
1.096394357304044,
-1.1287208486217732,
1.1264238424888084,
0.06931218740095733,
0.1199140580104439,
0.42838401811679144,
0.7057919332882043,
0.4479540603774709
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
d6ca78958a015bca449989b3cc828628 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [7, 71], "expectation_value": -3.700373550207027, "params": [[[1.6285, 0.004], [-0.0018000000000000002, 0.0098], [1.495, 0.0094], [-0.0031000000000000003, 0.0027], [1.7087, 0.009600000000000001], [1.701, 0.0027], [1.7003000000000001, 0.0077]]], "bitstrings": ["1111000", "0111000"], "total_optimization_steps"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -2.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101000", "0111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4045751282710122) q[0];
rz(pi/2) q[0];
ry(0.6816005629861718) q[1];
ry(1.8376207076971505) q[2];
ry(0.6829995480513509) q[3];
ry(1.4492712809194404) q[4];
ry(-0.0846059078972762) q[5];
ry(-0.19128764720461447) q[6];
ry(1.8677165242780502) q[7];
ry(0.03043305180600... | OPENQASM 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": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"ZIIIIZI",
"ZIIZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-2,
0,
-0.5,
0
] | 0.970394 | [
1.4045751282710122,
0.6816005629861718,
1.8376207076971505,
0.6829995480513509,
1.4492712809194404,
-0.0846059078972762,
-0.19128764720461447,
1.8677165242780502,
0.030433051806005987,
1.684436087595031,
2.3889462813476596,
0.3885995382391464,
0.07537670339774295,
1.8102815052960888,
-1.... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 75 |
-5606904408919019912 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 1, 6], [4, 6], [3, 5, 6], [1, 3], [0, 1, 2, 5]]} | {"states": [35, 51], "expectation_value": -2.086556966853401, "params": null, "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 43, "probabilities": [0.11887409793509456, 0.7318075065917928], "optimization_time": 57.83722472190857} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 4.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.04671223059259256) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(0.04671223059259256) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.052667827991550176) q[5];
cx q[1], q[5];
cx q[1], q[0];
rz(-0.052667827991550176)... | 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(1.4074) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIIIIZZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIZI",
"ZZIIIII",
"ZIIIIIZ",
"IIIZIZI",
"IZIZIII",
"ZIIZIII",
"IIIIZZI",
"IZIIZII",
"IIIIZIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666663,
0.45833333... | 0.61147 | [
0.04671223059259256,
-0.052667827991550176,
-0.14042034910600307,
-1.5204759966312231,
-0.8273005296593096,
-1.4937560825278697,
-0.0719327010352439,
-0.5227796191779338,
0.873077708657223
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 236 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.04088422511840967, "params": [[0.046200000000000005, 0.0531, 0.0334], [-0.0322, -0.0443, -0.033800000000000004]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [0.479557887440795, 0.5204421125592047], "optimization_time": 1.0195696353912354} | -1.0 * Z(0) | 5 | 1 | 3 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[1] c;
qubit[1] q;
h q[0];
rz(x0) q[0];
h q[0];
rz(x1) q[0];
h q[0];
rz(x2) q[0];
h q[0];
rz(x3) q[0];
h q[0];
rz(x4) q[0];
h q[0];
rz(x5) q[0];
h q[0];
c[0] =... | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} | [
"Z"
] | [
-1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
86bffc9e1d8a6ccff4432e6ca171cbfd | 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": 3, "target": 4}, {"source": 4, "... | {"states": [4080, 4088], "expectation_value": -17.276838936887945, "params": [-1.3646, -1.2072, 0.034300000000000004, -0.0444, -1.1583, 0.42410000000000003, 1.5653000000000001, 1.5763, 0.011300000000000001, -0.018000000000000002, 1.0170000000000001, -1.0072, -1.5699, -0.7939, 0.0688, -0.0684, -0.249, -0.3118, 0.1249000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(11)) + -2.0 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 *... | 14 | 12 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-1.6878602000577207) q[0];
rz(pi/2) q[0];
ry(0.11524399268357356) q[1];
ry(-1.2533286304710964) q[2];
ry(1.611081585170406) q[3];
ry(0.08026385649595963) q[4];
ry(1.038448347523991) q[5];
ry(-2.139785488468675) q[6];
ry(0.2524141457165654) q[7];
ry(-0.09799674452402... | OPENQASM 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IIIZIZIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIZII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.978128 | [
-1.6878602000577207,
0.11524399268357356,
-1.2533286304710964,
1.611081585170406,
0.08026385649595963,
1.038448347523991,
-2.139785488468675,
0.2524141457165654,
-0.09799674452402402,
0.16624417792809668,
0.14418204994615944,
2.630917694660795,
2.5812636417037282,
0.3895490820372956,
-0.... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 25 |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -0.6176383790199662, "params": [[0.0763, 0.07350000000000001], [-0.0825, -0.07590000000000001]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.022544678330206947, 0.022544678330206964], "optimization_time": 2.837254047393799} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IZIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1,
-0.5
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
a6da0588e4f06076b5c2f06ef98c16c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, ... | {"states": [187, 109], "expectation_value": -8.738285477936438, "params": [[0.0548], [-0.0682]], "bitstrings": ["01000100", "10010010"], "total_optimization_steps": 10, "probabilities": [0.0069797362085650275, 0.007593520282792381], "optimization_time": 1.7314660549163818} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.0 * Z(0) + 13.0 * Z(2) + 9.0 * Z(3) + 12... | 1 | 8 | 1 | {"smallest_eigenvalues": [-58.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5,
13,
9,
12.5,
16,
12.5,
8
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
8ff856a49bd466ed41fc36c41ae9a42c | 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": [166, 422], "expectation_value": -100.94783986100305, "params": [-0.0025, 0.0067, -0.002, 0.008400000000000001, 1.5724, 0.0095, 2.9936000000000003, 0.0016, 1.3587, 0.0015, 3.0019, 0.0036000000000000003, 0.003, 0.0037, 0.7452000000000001, 0.0006000000000000001, 2.9945, 0.008400000000000001, 2.9924, 0.00260000... | 7.5 * (Z(0) @ Z(3)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(8)) + 14.5 * Z(3) + -3.5 * Z(0) + 7.0 * Z(2) + 11.5 * Z(4) + 5.5 * Z(5) + -6.5 * Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["11001011001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.060201263803414895) q[0];
rz(-0.28863340946706373) q[0];
rx(0.05561782681440415) q[1];
rz(0.3515182859293339) q[1];
rx(2.3289427926921897) q[2];
rz(-0.2580699901477888) q[2];
rx(3.115172799929866) q[3];
rz(0.25877283537376816) q[3];
rx(0.22047723573948094) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
14.5,
-3.5,
7,
11.5,
5.5,
-6.5,
-3,
17,
4,
16,
-4.5
] | 0.972642 | [
0.060201263803414895,
-0.27890154254215904,
0.05561782681440415,
0.3515182859293339,
2.3289427926921897,
-0.2580699901477888,
3.115172799929866,
0.25877283537376816,
0.22047723573948094,
0.3591557977962041,
3.2255167525545927,
-0.38832835027649526,
0.1737523912499747,
-0.1911328618393907,
... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 19 |
2595393ec6a8cf85d387fa4d443f68fe | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [5, 58], "expectation_value": -0.20198885376877546, "params": [[0.0635, -0.020800000000000003, -0.0565], [-0.0752, -0.0402, 0.0322]], "bitstrings": ["111010", "000101"], "total_optimization_steps": 10, "probabilities": [0.018288665256314184, 0.01913857715611442], "optimization_time": 6.103644847869873} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.039378763522295586) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.039378763522295586) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.039378763522295586) q[4];
cx q[3], q[4];
rz(-1.5354177947497778) q[3];
rx(-1.63381938549... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
0,
-0.5
] | 0.980264 | [
0.039378763522295586,
-1.5354177947497778,
1.43026941588834,
-1.4957618524327259,
1.2143430960656043,
-1.6338193854963232
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
5dad688a93671469362a3d3d00961b05 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 5], "expectation_value": -1.2724291649170278, "params": [[[0.5524, 0.0078000000000000005], [0.5563, 0.0098], [1.6115000000000002, 0.0046], [0.0027, 0.0012000000000000001], [1.6093000000000002, 0.0014]]], "bitstrings": ["11011", "11010"], "total_optimization_steps": 160, "probabilities": [0.21409591062816... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "10011", "01110"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"ZIZII",
"IZZII",
"ZZIII",
"ZZZII",
"ZIIZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
16efd0d1722058bdcecd0a47f621047a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [20, 35], "expectation_value": -0.25258925580596625, "params": [[0.0646, 0.0269], [-0.0665, -0.0333]], "bitstrings": ["101011", "011100"], "total_optimization_steps": 10, "probabilities": [0.017971986046565837, 0.01890470526811416], "optimization_time": 2.466193914413452} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
0,
-1
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 12], "expectation_value": -1.9998648604775686, "params": null, "bitstrings": ["1111", "0011"], "total_optimization_steps": 13, "probabilities": [1.9001409473807688e-05, 0.9999183586751094], "optimization_time": 5.139496564865112} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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];\nry(-1.4449) 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 q[2];\... | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
a617cd4648156ddc77f993201a7a952c | kclique | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -16.533861705034482, "params": [0.10600000000000001, 0.2091, 0.33940000000000003, -0.1012, 0.43670000000000003, -0.10020000000000001, 0.3578, -0.0128, 0.4449, 0.08660000000000001, 0.4998, -0.0046, 0.49250000000000005, 0.0028, 0.4675, 0.0056, 0.1019, 0.21100000000000002, 0.1427, 0... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
ffe7b5f4782407d3e85a3f55af5889c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [33, 183], "expectation_value": -0.583417500706687, "params": [[-0.052500000000000005], [0.0601]], "bitstrings": ["111011110", "101001000"], "total_optimization_steps": 10, "probabilities": [0.002500697113494027, 0.002521028275967321], "optimization_time": 2.226732015609741} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8342401797212022) q[0];
h q[1];
ry(1.5496241098090255) q[1];
h q[2];
ry(-0.8134812327530893) q[2];
h q[3];
ry(0.7748120549045128) q[3];
cx q[1], q[3];
ry(-0.7748120549045128) q[3];
cx q[1], q[3];
h q[4];
ry(0.6952604176041987) q[4];
h q[5];
ry(-0.739663059... | 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[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[2],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-0.5,
-1.25,
-0.75,
-1.75,
-1.75,
-1.25,
-1.25,
-0.5,
-0.25,
2,
-1.75,
-0.75,
-1.25,
-0.25,
-1.25,
2,
0.75,
-0.75,
-0.25,
0.25,
0.75
] | 0.979313 | [
1.5496241098090255,
-1.6684803594424045,
-1.6269624655061785,
1.3905208352083973,
1.550453941853096,
-1.4793261191708578,
1.0533544851530927,
-0.034849540509988605,
0.10902409872729314,
0.046541968081840954,
-0.09148475048676868,
0.09483930685092878,
-0.022908238681126583,
0.04709644411773... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 1 |
8b0829a4716cfd4aaf65ab9c9808485b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [180, 177], "expectation_value": -4.4546808128134865, "params": [0.9073, -0.11860000000000001, 0.9012, 0.0008, -0.0063, -0.40640000000000004, -0.0064, 0.0027, 0.9011, -0.11860000000000001, 0.9091, 0.0016, 0.9043, -0.1057, 0.9034000000000001, 0.0015, -0.005200000000000001, 0.48660000000000003, -0.006900000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(6) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01001110", "01001011"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.5996597111536044) q[0];
rz(-0.1957768912997846) q[0];
rx(0.02127478515335448) q[1];
rz(-1.5177722419266297) q[1];
rx(1.0396989506675784) q[2];
rz(-0.22161350383609468) q[2];
rx(1.8939533596347364) q[3];
rz(-0.24655421617098439) q[3];
rx(-0.043106221388006405) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IZIIZIII",
"ZIIIIIZI",
"IIZZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1,
-0.5,
-1
] | 0.978087 | [
1.5996597111536042,
-0.2917567898105992,
0.02127478515335448,
-1.3048355993256433,
1.0396989506675787,
1.8939533596347362,
-0.2779488200476058,
-0.043106221388006405,
-0.22057582250717295,
0.3213628598077406,
-0.6831827289416335,
0.09021727361762996,
0.8691280844400303,
1.3902921980495369,... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 43 |
e51dfcff5e0bdd7b2829bd7421abac35 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.780318297445401, "params": [-0.0033, 0.006200000000000001, 0.0024000000000000002, 0.0095, 0.0027, 0.0085, 0.0025, 0.0019, -0.0027, 0.0013000000000000002, 0.0026000000000000003, 0.0007, -0.0027, 0.009600000000000001, 0.0024000000000000002, 0.0035, 1.1791, 0.0027, 1.601200000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(6) ... | 3 | 10 | 1 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110", "1111111100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.12507163419902978) q[0];
rz(0.1760417538445167) q[0];
rx(-0.044611793963700755) q[1];
rz(-0.12688361263773196) q[1];
rx(0.033824589847390035) q[2];
rz(0.1443582039464424) q[2];
rx(0.03824320075644034) q[3];
rz(-0.30732739781761786) q[3];
rx(-0.018007342098166627) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIZIIIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIIIZIZI",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIZIZIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIIZII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIIIIZII"... | [
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
1.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-1.25,
-0.25,
0.25,
0.25,
-0.75,
0.5,
1.5,
-0.25,
-0.75,
0.75
] | 0.973925 | [
0.12507163419902978,
0.04177322522974804,
-0.04461179396370076,
-0.10142088776067595,
0.03382458984739003,
0.21789401028119604,
0.038243200756440346,
-0.2075632577545743,
-0.018007342098166623,
0.07945153965721306,
-0.059343951304027885,
-0.2795617536486162,
0.2462436178922379,
-0.41442236... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 7 |
2167743483924607683 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5], [2, 3, 7], [4, 7], [0, 1], [1, 2, 6, 7]]} | {"states": [122, 87], "expectation_value": -0.9045847868631992, "params": [[0.48140000000000005], [-0.4012]], "bitstrings": ["10000101", "10101000"], "total_optimization_steps": 50, "probabilities": [0.01690352925412294, 0.01690352925412295], "optimization_time": 2.1612846851348877} | 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.083333333333333, "smallest_bitstrings": ["10000101", "10101000"], "largest_eigenvalue": 3.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.5405059226058502) q[0];
ry(1.6825361643686179) q[1];
ry(1.5472934617953105) q[2];
ry(1.5405059226058502) q[3];
ry(1.5472934617953105) q[4];
ry(1.5370089052884195) q[5];
ry(1.5961783282742352) q[6];
ry(1.5835516143604056) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[2];
rz(x0) q[2];
cx q[5],... | null | {"circuits": [], "gradients": []} | [
"IIZIIZII",
"IIIIZZII",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIZZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IZIIIZII",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII"
] | [
0.5,
0.16666666666666666,
0.25,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0,
0.29166666666666663,
0.16666666666666666,
0.29166666666666663,
0,
0.125,
0,
0.125
] | 0.972891 | [
1.5405059226058502,
1.6825361643686179,
1.5472934617953105,
1.5370089052884195,
1.5961783282742352,
1.5835516143604056,
-1.5468589651894504,
0.11630590812670238,
1.616567178399911
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 1 |
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": [109, 157], "expectation_value": -0.4735175203063817, "params": [[-0.0648, -0.0731, -0.0565, -0.0594], [0.069, 0.0779, 0.0682, 0.0697]], "bitstrings": ["10010010", "01100010"], "total_optimization_steps": 10, "probabilities": [0.008993231705459272, 0.008993231705459273], "optimization_time": 16.0950696468353... | 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 | 4 | {"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] 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",
"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 |
-403725084557229530 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11, 5], [0, 11, 7], [8, 4, 6], [1, 6, 7], [2, 5], [8, 2], [3, 7], [2, 11], [1, 11, 4, 6], [8, 9, 0, 7], [1, 10, 3], [0, 10], [1, 2], [9, 10, 5, 7], [1, 3, 6], [8, 0, 11, 6], [11, 9, 3], [3, 1, 11, 5], [1, 10, 4], [9, 6], [2, 7], [8, 10], [9, 2], [8, 3... | {"states": [1335, 3383], "expectation_value": -6.603929739772139, "params": [[[1.5763, 0.0047], [2.7961, 0.0026000000000000003], [0.7765000000000001, 0.0015], [2.7947, 0.006900000000000001], [0.3689, 0.008], [0.9743, 0.0026000000000000003], [2.1278, 0.0059], [2.7943000000000002, 0.0092], [1.5247000000000002, 0.0028], [... | 0.3333333333333333 * (Z(11) @ Z(3)) + 0.41666666666666663 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(11)) + 0.41666666666666663 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(11)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.41666666666666663 * (Z(9) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.416666666666663, "smallest_bitstrings": ["001011001000"], "largest_eigenvalue": 24.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.445809832459413) q[0];
rz(0.5061290618442785) q[0];
rx(2.9877034090072723) q[1];
rz(0.4303810424010252) q[1];
rx(0.13397903998094418) q[2];
rz(0.7640944114983441) q[2];
rx(3.3048611537800054) q[3];
rz(0.4387357430442708) q[3];
rx(-0.02935810062503865) q[4];
rz(0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"ZIIIIIIIZIII",
"IIIIZIIIZIII",
"ZIIIZIIIIIII",
"IIIIIIIIZIIZ",
"ZIIIIIIIIIIZ",
"IIIIZIIIIIIZ",
"IIZIIIIIZIII",
"ZIZIIIIIIIII",
"IIZIZIIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIIZIII",
"ZZIIIIIIIIII",
"IZIIZIIIIIII",
"IZIIIIIIIIIZ",
"IZZIIIIIIIII",
"IIIIIZIIZIII",
"IIIIZZIIIIII",
"IIIIIZIII... | [
0.3333333333333333,
0.41666666666666663,
0.25,
0.41666666666666663,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.083333333... | 0.979553 | [
2.445809832459413,
0.5061290618442785,
2.9877034090072723,
0.4303810424010252,
0.13397903998094418,
0.7640944114983441,
3.3048611537800054,
0.4387357430442708,
-0.02935810062503865,
0.693956870457846,
0.3481905381778313,
3.0921097894036125,
-0.45944275662402473,
3.4089062740404708,
0.550... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -8.666666666666664,
"target_ratio": 0.97,
"target_value": -8.406666666666665
} | 29 |
-3316811709459775078 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5, 6], [1, 2, 3], [0, 4, 5, 6], [0, 1, 2, 6], [0, 2, 4], [3, 4, 5, 6], [2, 4, 6], [1, 2, 5, 6], [2, 3, 4]]} | {"states": [111, 109], "expectation_value": -2.2667466821471782, "params": [1.9715, 0.32730000000000004, 1.1206, 0.0055000000000000005, 1.9212, 0.3592, 1.2039, 0.0024000000000000002, 0.5415, 1.0107000000000002, 0.39880000000000004, 0.0067, 1.943, 0.3216, 1.1735, 0.0006000000000000001, 1.9605000000000001, 0.3438, 1.1687... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)... | 5 | 7 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333334, "smallest_bitstrings": ["0010010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(2.9042395950782525e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-2.008773801476984e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-2.008773801476984e-08) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(0.61562... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIIIIZZ",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIIZIZI",
"IIZIZII",
"IIZIIIZ",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"III... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.25,
0.3333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.25,
... | 0.854358 | [
2.9042395950782525e-8,
-2.008773801476984e-8,
0.6156242605317626,
7.603379638657252e-8,
-4.5534839199788075e-8,
-0.3676827208711444,
-1.570796237780465,
1.5707963130832818,
1.5707962035477305,
1.570796195429284,
1.5707961563231514,
-1.570796298872601
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -2.416666666666667,
"target_ratio": 0.97,
"target_value": -2.3441666666666667
} | 282 |
106ffe6382c828a8ce4e8948ba3fbc79 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 4}, {"weight":... | {"states": [782, 270], "expectation_value": -52.029966785876034, "params": [[[0.7871, -0.5373], [1.5704, 0.0032], [0.003, 1.0386], [-0.0025, 1.3701], [0.0027, -1.0868], [-0.0053, 0.9507000000000001], [1.5713000000000001, 0.0028], [1.5681, -0.0018000000000000002], [1.5757, -0.002], [0.0024000000000000002, -1.0926]], [[0... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(7)) + -2.5 * Z(2) + -0.5 * Z(0) + 4.5 * ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-52.5, -52.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -51.5, "smallest_bitstrings": ["1011110001", "0111100101"], "largest_eigenvalue": 90.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(1.1015110412349927) q[0];
ry(1.33538661705111) q[0];
rz(-1.8715515908482176) q[0];
rz(-0.7952830862684701) q[1];
ry(3.090155636061675) q[1];
rz(2.415489340124405) q[1];
rz(-1.055048278891587) q[2];
ry(0.21727977912357424) q[2];
rz(1.9095418923472405) q[2];
rz(-0.858... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
-2.5,
-0.5,
4.5,
-7.5,
-9.5,
3.5,
2.5,
-2.5,
-2.5,
-4.5
] | 0.982166 | [
0.6029065261976836,
-0.6469908119381206,
1.5913943889147477,
-0.03600675334527404,
-0.12472715377084267,
1.0248177249456527,
-0.011678118018327407,
1.424755103620837,
-0.08081880713096955,
-1.1714360733622418,
-0.019893541629282557,
0.9529250274653059,
1.5843053898241344,
0.124985816479779... | {
"n_parameters": 36,
"n_qubits": 10,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 1 |
-7394651515287594682 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[5, 7], [1, 6], [8, 9], [8, 7], [0, 7], [0, 8], [0, 6], [6, 7], [0, 3], [8, 2], [9, 4], [3, 5], [9, 2], [2, 3], [8, 5], [9, 6], [1, 4], [2, 6], [4, 7], [5, 6]]} | {"states": [917, 106], "expectation_value": -0.2583315517070382, "params": [[0.07880000000000001], [-0.085]], "bitstrings": ["0001101010", "1110010101"], "total_optimization_steps": 10, "probabilities": [0.0013755563809622717, 0.0013755563809622717], "optimization_time": 13.014902114868164} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1110010101", "0001101010"], "largest_eigenvalue": 10.0} | 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];
h q[7];
cx q[7], q[5];
rz(0.500948969870172) q[5];
cx q[7], q[5];
cx q[7], q[6];
rz(0.500948969870172) q[6];
cx q[7], q[6];
cx q[5], q[6];
rz(0.500948969870172) q[6];
cx q[5], q[6];
cx q[6], q[1];
rz(0.50094896987... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[5], q[6];
rz(x0) q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IIIZIIIIZI",
"IZZIIIIIII",
"IZIIZIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIZIIIIIIZ",
"IIIZIIIIIZ",
"IZIIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIIZIIIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIIIIIZZII",
"IIZIIZIIII",
"IIIIIZIIZI",
"ZIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.382257 | [
0.500948969870172,
5.958434462279493e-9,
-0.7048272740595323
] | {
"n_parameters": 3,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 94 |
3eae9571be99206e8d251c5f1caa9c72 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [127, 511], "expectation_value": -9.22061248974033, "params": null, "bitstrings": ["110000000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.13474663873330517, 0.44720699062501], "optimization_time": 142.32146549224854} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + 0.5 * Z(2) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.... | 5 | 9 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.38195054971176035) q[0];
rz(1.4906148942791582) q[0];
rx(-1.3991219864922113) q[1];
rz(1.5285724814751944) q[1];
rx(-2.767107125818454) q[2];
rz(1.495278141948834) q[2];
rx(-3.124706048720333) q[3];
rz(2.452913844629382) q[3];
rx(0.2831625939787221) q[4];
rz(2.661... | null | {"node": 4} | {"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[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];\nc... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1,
-1.5,
-2,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.970036 | [
-0.3819505497117604,
-0.08018143251573825,
-1.3991219864922115,
-0.04222384531970143,
-2.767107125818454,
-0.07551818484606285,
3.158479258459254,
0.8821175178344853,
0.28316259397872207,
1.0906726956194261,
0.1384470194445426,
1.2876044893166538,
-0.10831868776595631,
0.8385119930996024,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 158 |
fa1aa02644db6485d126884facd8fbe5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [60, 101], "expectation_value": -0.0735131250391834, "params": [[0.0529], [-0.06720000000000001]], "bitstrings": ["1000011", "0011010"], "total_optimization_steps": 20, "probabilities": [0.00843288928853289, 0.008539130719520373], "optimization_time": 1.2764651775360107} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0074207548089881) q[0];
cx q[2], q[0];
rz(-1.62559946447614) q[2];
rx(1.5247430591609956) q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.0074207548089881) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(-0.0074207548089881) 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIIIZ",
"IIIZIIZ",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-0.5,
0,
0,
0
] | 0.972476 | [
-0.0074207548089881,
-1.62559946447614,
1.6942216147964604,
1.1633760167161522,
1.5247430591609958,
0.061183352847591965,
0.7500638384568105,
0.2284438797758424,
0.09388118757753881
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 24 |
eba36988c182e1517218a60a482e00a5 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [42, 298], "expectation_value": -4.867189817460832, "params": [0.8639, -0.0024000000000000002, 0.8608, 0.004, 0.0006000000000000001, -0.46840000000000004, 0.0008, 0.0027, 0.0021000000000000003, 0.45270000000000005, 0.0037, 0.0095, 0.9076000000000001, 0.0195, 0.9023, 0.0037, 0.0012000000000000001, 0.5361, 0.0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(4) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["011010110", "111010001", "011010101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.267099858892144) q[0];
ry(2.73715963226315) q[0];
rz(-2.1491018261712758) q[0];
rz(0.9794485339936383) q[1];
ry(0.07158027568373979) q[1];
rz(-1.3922248729900153) q[1];
rz(2.581272211666364) q[2];
ry(0.09207152276843192) q[2];
rz(-1.7584256070247324) q[2];
rz(1.234... | OPENQASM 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": []} | [
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIIIIIZI",
"IZIIIIZII",
"ZIZIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIZZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-2,
-1.5,
-1,
-1,
-1.5,
0
] | 0.970436 | [
1.2175142454653094,
-0.11801806347879927,
-0.13782699581436073,
-0.20083185235930467,
-0.11511822724982476,
0.4459322822745487,
1.671399759724221,
-0.17338415067980986,
0.11816886294868838,
-0.4755391397723471,
1.575293112558728,
0.014866570865143827,
0.35326221340217834,
-0.32846666210949... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 24 |
-8952435335179545549 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6], [0, 4, 5, 6, 7], [0, 3, 4, 5, 7], [0, 2, 3, 7]]} | {"states": [182, 55], "expectation_value": -0.21740749561327694, "params": [[0.2667], [-0.2601]], "bitstrings": ["01001001", "11001000"], "total_optimization_steps": 30, "probabilities": [0.005194970177135929, 0.00519497017713593], "optimization_time": 2.9475209712982178} | 0.05 * (Z(1) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8500000000000003, -0.8500000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.8500000000000001, "smallest_bitstrings": ["00101000", "11001000"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.1120376510165475) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.02368402938501268) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.1120376510165475) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(0.1120376510165475) q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"ZIIIIII... | [
0.05,
0.13333333333333333,
0.05,
0.05,
0.05,
0.1,
0.05,
0.05,
0.05,
0.1,
0.08333333333333333,
0.13333333333333333,
0.1,
0.05,
0.05,
0.1,
0.05,
0.1,
0.08333333333333333,
0.13333333333333333,
0.1,
0.05,
0.18333333333333335,
0.1,
0.22499999999999995,
0.1,
0.325,
0.... | 0.833734 | [
0.1120376510165475,
0.02368402938501268,
0.025482074869613427,
0.008474017243188137,
1.4608771383932775,
1.5226925579400912,
0.11487354994455781,
1.4999993095983373,
1.4397002270530375,
-0.9796881913008582
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -0.8500000000000003,
"target_ratio": 0.97,
"target_value": -0.8245000000000002
} | 264 |
bd450980ecb62a263062b6b855a443ea | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 27], "expectation_value": -5.88727440555093, "params": null, "bitstrings": ["1100000", "1100100"], "total_optimization_steps": 40, "probabilities": [0.41295864328490506, 0.41295864328490506], "optimization_time": 29.30328893661499} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1100100", "1100000", "1110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8940808328512944) q[0];
h q[1];
ry(0.041756198791205276) q[1];
h q[2];
ry(-0.03032114105568228) q[2];
h q[3];
ry(0.4442013340719362) q[3];
h q[4];
h q[5];
ry(0.8884026681438724) q[5];
cx q[5], q[1];
ry(-0.041756198791205276) q[1];
cx q[5], q[1];
ry(-0.8557... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
1.5,
-1.25,
-0.75,
-0.25,
1,
-0.25,
-0.5,
0.5,
0.25
] | 0.971173 | [
0.8884026681438724,
1.622467847555487,
-1.7881616657025887,
0.08351239758241055,
-0.1298063569670014,
0.48401841381661614,
-0.06064228211136456,
0.4944845920735319,
-0.5239031451717074,
-0.8974703140323975,
-1.005223191000236,
0.8108085797164076,
1.648602767536483,
0.2412183790864333,
0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 83 |
b0feb3aae3343307d568064fd81cd991 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [70, 44], "expectation_value": -0.5794393189121687, "params": [[-0.0729, -0.0415], [0.07980000000000001, 0.0664]], "bitstrings": ["0111001", "1010011"], "total_optimization_steps": 10, "probabilities": [0.01077566096513229, 0.011160180484462937], "optimization_time": 3.347414493560791} | 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(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010011", "1011001", "0111001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.11503807205460864) q[0];
rz(-0.04570287624914589) q[0];
ry(0.33511397942240595) q[1];
ry(0.8552826590354881) q[2];
ry(0.9650576281729341) q[3];
ry(0.7811503177574416) q[4];
ry(1.2601620003528657) q[5];
ry(0.7102206933589124) q[6];
ry(0.004297236274760377) q[7];
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[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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIIIIZI",
"IIZIZII",
"ZIZIIII",
"IZIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1,
-0.5,
-0.5
] | 0.973839 | [
-0.11503807205460864,
0.33511397942240595,
0.8552826590354881,
0.9650576281729341,
0.7811503177574416,
1.2601620003528657,
0.7102206933589124,
0.004297236274760377,
0.049090961789492085,
0.6951539195156542,
-0.09140575249829178,
0.060969722153739414,
0.1950694243124536,
-0.0400863665507421... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 22 |
-2709347430080956248 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 2, 4], [4, 5, 6, 7], [1, 2, 6], [0, 3, 4], [0, 9, 4, 1], [0, 1, 2, 5], [8, 9, 2], [9, 3, 4, 6], [1, 3, 7], [0, 4, 6], [9, 5, 6], [1, 2, 4, 5], [9, 7], [1, 3, 5], [8, 1, 7], [8, 9, 3, 5], [9, 4, 5, 1], [1, 2, 7], [8, 3, 4], [0, 2, 3], [0, 8, 6, 9]]} | {"states": [491, 489], "expectation_value": -5.060436119711414, "params": [0.1226, -1.1687, 0.1087, 0.0073, 2.2729, 0.224, 0.8566, 0.0004, 2.2845, 0.2843, 0.8385, 0.0033, 2.2689, 0.2497, 0.8523000000000001, 0.0068000000000000005, 2.2729, 0.2788, 0.8521000000000001, 0.0007, 0.5786, 1.1001, 0.556, 0.0, 2.2704, 0.2888, 0.... | 0.25 * (Z(0) @ Z(9)) + 0.25 * (Z(2) @ Z(9)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.33... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.000000000000001, "smallest_bitstrings": ["1000010110"], "largest_eigenvalue": 20.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.11665019588601486) q[0];
rz(-1.6984935915271788) q[0];
rx(2.0978782514162835) q[1];
rz(0.11841583728533589) q[1];
rx(2.2370848362891653) q[2];
rz(0.6015246037101818) q[2];
rx(2.223757407079562) q[3];
rz(0.26061038710782203) q[3];
rx(2.097878251416284) q[4];
rz(0.1... | 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": []} | [
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIIIIIIZIZ",
"ZIIIIZIIII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"ZIIIZIIIII",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"ZIIZIIIIII",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"ZIZIIIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII"... | [
0.25,
0.25,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.25,
0.16666666666666666,
0.3333333333333333,
0.25,
0.5,
0.16666666666666666,
0.08333333333333333,
0.083333333333... | 0.970023 | [
0.11665019588601486,
-1.5005150924205166,
2.0978782514162835,
0.10259472359197609,
2.2370848362891653,
0.6424910451452349,
2.223757407079562,
0.2967892977485582,
0.17062738996250507,
0.3396429509245652,
1.1029400267812053,
1.997302266946079,
0.22004731202259972,
0.01015786933755225,
1.03... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -5.166666666666668,
"target_ratio": 0.97,
"target_value": -5.011666666666668
} | 23 |
029986633f537c33e6750e1dcdf6914f | 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": [83, 87], "expectation_value": -125.46556379180873, "params": [0.0029000000000000002, 1.0639, 0.0028, 1.3351, 0.0026000000000000003, -0.8882, 0.0028, 1.3404, 0.3622, 0.785, 1.6341, 0.3039, 0.0029000000000000002, 1.1704, 1.5772000000000002, 0.0004, 0.0054, 1.0234, 0.8999, -0.1148, 1.6075000000000002, 0.062400... | 8.5 * (Z(0) @ Z(5)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(7) @ Z(4)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(4)) + 8.5 * (Z(9) @ Z(7)) + 8.5 * (Z(6) @ Z(10)) + 8.5 * (Z(11) @ Z(8)) + 8.5 * (Z(11) @ Z(10)) + 9.5 * Z(5) + -4.5 * Z(0) + 11.0 * Z(4) + 15.0 * Z(7) + 3.5 * Z(8) + 6.0 * Z(9) + 9.0 * Z(10) + -7.0 * Z(6) + 6.0 * Z(1... | 16 | 12 | 2 | {"smallest_eigenvalues": [-131.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.5, "smallest_bitstrings": ["111110101000"], "largest_eigenvalue": 171.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.08547276640130169) q[0];
rz(0.3867866230238697) q[0];
rx(-0.007950757356910643) q[1];
rz(1.1380580082409386) q[1];
cx q[1], q[0];
rz(0.6255558617710447) q[0];
cx q[1], q[0];
rx(-0.0854727664013017) q[0];
rz(0.4945206572720853) q[0];
rz(0.49875466645261396) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIZIIIIZIIII",
"IIZIZIIIIIII",
"IZIIIZIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIZIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIZIIIIIIII",
"IIZIIIIIIIII",
"IZIIIIIIIIII",
"IIIIIZIIIIII",
"ZIIIIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
9.5,
-4.5,
11,
15,
3.5,
6,
9,
-7,
6,
-16,
-14.5,
-16
] | 0.971863 | [
-0.0854727664013017,
1.012342484794914,
-0.007950757356910643,
1.1380580082409386,
0.08961106159721859,
-0.9599135311093822,
1.3164792123662779,
0.17896962910154246,
1.036605744011359,
1.7881354349318543,
0.40493425454724824,
1.20800497781113,
1.508210950846816,
-0.14280373832563023,
-0.... | {
"n_parameters": 61,
"n_qubits": 12,
"optimal_eigenvalue": -131.5,
"target_ratio": 0.97,
"target_value": -127.55499999999999
} | 5 |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57214, 56190], "expectation_value": -13.456508576353416, "params": [[0.1842, 1.1586, -0.025, 1.0993, 0.5874, 0.1648, 0.5474, 0.0033, -0.6089, 0.5252, 0.059800000000000006, -0.0008, 0.25320000000000004, 0.0002, 0.1203, -0.0164], [1.9721000000000002, 1.2877, -0.0063, 2.1493, 0.7482000000000001, 0.666800000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 10 | 16 | 3 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"], "largest_eigenvalue": 46.0000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
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,
0... | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.