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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
422319ba04d136ad73513dac1d0065c7 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1783, 1767], "expectation_value": -12.706578749007617, "params": [0.1005, 0.0036000000000000003, 0.24050000000000002, -0.026600000000000002, 0.6706000000000001, -0.0117, 0.6544, -0.01, 0.6814, -0.0258, 0.6745, 0.0024000000000000002, 0.24450000000000002, 0.08710000000000001, 0.2421, -0.056100000000000004, 0.... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"], "largest_eigenvalue": 29.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5166574351848524) q[0];
rz(1.427206026017565) q[0];
rx(0.6652927820984921) q[1];
rz(1.6153204929972311) q[1];
rx(2.5306334617267017) q[2];
rz(1.1988742149468248) q[2];
rx(-0.008157283247904035) q[3];
rz(1.0151177535238425) q[3];
rx(1.154890385314211) q[4];
rz(1.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZI... | [
-1,
0.5,
-0.5,
0.5,
-0.5,
1,
0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
1,
-1,
4,
4,
1.5,
-0.625,
3,
0.5,
2.25,
2.25,
0.5,
-0.125
] | 0.971317 | [
-0.5166574351848524,
-0.14359030077733115,
0.6652927820984921,
0.044524166202335104,
2.5306334617267017,
-0.3719221118480718,
-0.008157283247904035,
-0.5556785732710541,
1.1548903853142112,
0.15156788401350937,
1.981656772672947,
-0.14850940033601542,
1.1883051429482772,
-0.061917510887196... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -12.875,
"target_ratio": 0.97,
"target_value": -12.48875
} | 97 |
bbe36c72142a04c8b1698fed3f77c25c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 4}, {"weight": 18, "source... | {"states": [117, 61], "expectation_value": -28.34264890721616, "params": [[0.027200000000000002, 0.007500000000000001, -0.0037, -0.0089], [-0.0704, -0.0714, -0.0497, -0.0328]], "bitstrings": ["0001010", "1000010"], "total_optimization_steps": 10, "probabilities": [0.02795070417173221, 0.029222212776073744], "optimizati... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 140.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
14,
11,
21,
12,
15,
6.5,
15.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
-4103153990130087005 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[8, 11], [8, 7], [11, 7], [1, 6], [8, 13], [8, 1], [9, 12], [0, 12], [0, 7], [9, 10], [0, 10], [10, 13], [8, 12], [0, 9], [5, 6], [3, 11], [0, 1], [12, 13], [2, 7], [8, 2], [8, 10], [10, 7], [2, 5], [8, 5], [9, 6], [5, 7], [9, 4]]} | {"states": [6494, 6430], "expectation_value": -3.74537848119034, "params": [0.3286, 0.38380000000000003, 0.325, 0.0097, 1.1013, -0.0218, 1.0994000000000002, -0.0046, 0.9695, 0.028900000000000002, 0.9702000000000001, 0.0047, 0.29910000000000003, -0.3922, 0.2892, -0.38880000000000003, 0.2849, 0.40850000000000003, 0.2771,... | 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(13) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(12)) + 0.5 ... | 8 | 14 | 1 | {"smallest_eigenvalues": [-7.499999999999987], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.49999999999997, "smallest_bitstrings": ["10011011100001"], "largest_eigenvalue": 13.500000000000023} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(-0.44256180670991246) q[0];
rz(2.166889709752734) q[0];
rx(1.0688837444132524) q[1];
rz(0.0839683203777324) q[1];
cx q[1], q[0];
ry(0.0048763349206448064) q[0];
cx q[1], q[0];
ry(0.2272769523243657) q[0];
rz(-1.4711808060767428) q[0];
rx(1.1415418412246858) 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": []} | [
"IIZIIZIIIIIIII",
"IIZIIIZIIIIIII",
"IIIIIZZIIIIIII",
"IIIIIZIIIIIIZI",
"IIIIIIIZIIIIZI",
"ZIIIIZIIIIIIII",
"IIIIZIIZIIIIII",
"IZIIIZIIIIIIII",
"ZZIIIIIIIIIIII",
"IZIIZIIIIIIIII",
"IIIIIIZIIIIIIZ",
"IIIIIIIIIIIIZZ",
"IIIIZIIIIIIIIZ",
"IZIIIIIIIIIIIZ",
"IIIZIZIIIIIIII",
"IIIZIIZIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970649 | [
-0.4425618067099124,
0.5960933829578382,
1.0688837444132524,
0.0839683203777324,
1.5659164456105297,
0.019437076298452004,
-0.020433252962895672,
-0.40691980314294923,
0.27738628890987715,
0.2500755697597591,
1.428824757490829,
0.08734783186691453,
0.12727955483805004,
-0.1926986276723667,... | {
"n_parameters": 68,
"n_qubits": 14,
"optimal_eigenvalue": -7.499999999999987,
"target_ratio": 0.97,
"target_value": -7.274999999999987
} | 30 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [359, 355], "expectation_value": -8.954139612215627, "params": [0.0018000000000000002, 0.5899, 0.0058000000000000005, 0.5168, 0.0016, 0.5992000000000001, 0.7918000000000001, 0.007, -0.0048000000000000004, 0.5446, 0.7698, 0.0409, 0.7084, 0.0886, 0.533, 0.46640000000000004, 0.09090000000000001, 0.4272, 0.3582,... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 16 | 12 | 4 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-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,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
41c6fd253707f3493d5d4e5aa1da9109 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [129, 1], "expectation_value": -10.395514872067421, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [0.39265181739029803, 0.6073463626735197], "optimization_time": 27.052518844604492} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28125291389735185) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3738758539816298) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3738758539816298) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28125291389735185) q[4];
cx ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
3.25,
-0.25,
-0.25,
-1,
1.25,
-0.25,
-2,
1,
-0.5,
-1,
2.25,
-0.75
] | 0.512164 | [
-0.28125291389735185,
-0.3738758539816298,
-0.4435290057877126,
-0.2655182352206827,
0.17641094697920026,
0.5370834376657896,
-1.2333040601047265,
0.9898846684859016,
1.6266519609754448,
-1.1954762728719215
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 249 |
88db82b281e553a316057249c291c2f0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [18, 26], "expectation_value": -3.7202532509248267, "params": [0.234, -0.0698, 0.23850000000000002, -0.0466, -0.0125, 0.1607, -0.0103, 0.1557, 0.2926, -0.0976, 0.2962, -0.031200000000000002, 0.27390000000000003, -0.1004, 0.2755, -0.0944, -0.005, 0.1646, -0.001, 0.16010000000000002, 0.3025, -0.1008, 0.3073, -... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(6) + -1.5 * Z(1) + -1.0 * Z... | 5 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "0101101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.02901302368530102) q[0];
rz(-0.2598228595523726) q[0];
rx(0.41948779045408124) q[1];
rz(-0.20717763396566863) q[1];
rx(0.5962678599760157) q[2];
rz(0.18054622282290922) q[2];
rx(1.2074841165746684) q[3];
rz(0.15055545469075332) q[3];
rx(0.5108577597682668) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIZIZII",
"ZIIIZII",
"IIIIZZI",
"IZZIIII",
"IZIIIZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.974228 | [
0.029013023685301023,
-0.37467712167214084,
0.41948779045408124,
-0.20717763396566863,
0.5962678599760157,
0.18054622282290922,
1.2074841165746684,
0.15055545469075332,
0.5108577597682668,
-0.4453880594579994,
0.6564683963198464,
0.012170322637544778,
0.6145666603714796,
0.2942868746902721... | {
"n_parameters": 128,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 86 |
839e49943c280a605024f1eaa388ffdd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -0.8257036375694335, "params": [[-0.0784, -0.0809], [0.0751, 0.0753]], "bitstrings": ["111100", "111110"], "total_optimization_steps": 10, "probabilities": [0.0272276880245116, 0.030673318392014266], "optimization_time": 2.6498873233795166} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.610696988332422) q[0];
h q[1];
ry(-1.610696988332422) q[1];
ry(-0.008287823470105224) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08573910863688183) q[3];
rz(-pi) q[4];
ry(-0.053813276033384) q[4];
h q[5];
ry(1.5055160025387713) q[5];
cx q[5], q[4];
ry(0.11911... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] | 0.997269 | [
1.5055160025387713,
-1.610696988332422,
-1.5348557413287611,
-1.690543994376932,
-1.50548970354966,
-0.23823979855724126,
0.06801711789030701,
-0.05530552399206049
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
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": [238, 214], "expectation_value": -16.619748057036986, "params": [[-0.0221, -0.0212], [0.044500000000000005, 0.06380000000000001]], "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.005012425007947328, 0.006180056099998785], "optimization_time": 3.622138261795044} | 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 | 2 | {"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 |
941e0f788960880dfe35c85f6b384f54 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [238, 878], "expectation_value": -2.2027579430895594, "params": [[[0.0228, -0.4169, 0.0061, 0.0032], [0.6027, -0.012100000000000001, 0.3793, 0.0522], [0.017400000000000002, 0.2333, 0.052700000000000004, -0.1729], [-0.0071, -0.0373, 0.8997, -0.0092], [0.0985, -0.7054, 0.0847, 0.0584], [-0.1221, 0.246300000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(4) @ Z(5) @ Z... | 11 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.625, "smallest_bitstrings": ["11010001000", "01100100001", "11100000001", "01100001100", "01100000101", "10010011000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-3.6257422606249124e-06) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-3.6257422606249124e-06) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-3.6257422606249124e-06) q[3];
cx q[4], q[3];
rz(1.0121852101895668) q[4];
rx(0.1615... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIIZZIZII",
"IIIIZIZIZII",
"IIIZIIZIZII",
"IIIIZZIIZII",
"IIIZIZIIZII",
"IIIZZIIIZII",
"IIIIZZZII... | [
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,
0.0625,
0.0625,
0.0625,
0... | 0.833333 | [
-0.0000036257422606249124,
1.012185210189567,
-0.4452080100269147,
0.4784242638266058,
0.1615607826016346,
-0.000024812936745678617,
0.598048783171799,
-0.8736914707830179,
0.7294104711108851,
0.5253382115573209,
0.00003994346855610378,
-0.2921742380237811,
-0.13693272918866703,
0.29308037... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 500 |
1108229130261521761 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 5], [1, 4], [0, 2], [1, 3], [2, 5], [2, 4], [0, 6], [3, 6], [0, 3]]} | {"states": [15, 112], "expectation_value": -0.05942656981136975, "params": [[0.0601], [-0.05]], "bitstrings": ["1110000", "0001111"], "total_optimization_steps": 10, "probabilities": [0.008382150869896993, 0.008382150869896993], "optimization_time": 1.6119372844696045} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110000", "0001111", "0001110", "1001110", "0110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1366234409401799) q[0];
h q[1];
ry(-0.1366234409401799) q[1];
h q[2];
ry(-0.7743841954790852) q[2];
rz(-pi) q[3];
ry(-3.076049532733991) q[3];
h q[4];
ry(1.7023571886082434) q[4];
h q[5];
cx q[5], q[1];
ry(0.1366234409401799) q[1];
cx q[5], q[1];
ry(-0.433... | 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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[4], q[2];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIZIZII",
"IIIIZIZ",
"IZIIZII",
"IIIZIIZ",
"IIIZIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
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
] | 0.97021 | [
-0.2732468818803598,
1.7023571886082434,
-0.8669754684854398,
1.37144465321601,
-1.5487683909581704,
-0.2384655369490561,
0.042270498652909605,
-0.13203548191508918,
0.22565561989524416,
-0.3804192064252021,
-0.4845051348206373,
-0.30830208723112457,
0.05009090475330154,
-0.340031501394134... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 11 |
-6086076243898743339 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3, 5], [3, 4], [0, 1, 2, 3], [1, 2, 5], [0, 4, 5]]} | {"states": [43, 45], "expectation_value": -1.619977207536993, "params": null, "bitstrings": ["010100", "010010"], "total_optimization_steps": 29, "probabilities": [0.05946401197033017, 0.8961337815381573], "optimization_time": 26.95814061164856} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(2) @ Z(1)) + 0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333326, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-2.2632029622658724e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-2.2632029622658724e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-2.2632029622658724e-08) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-5.185480231... | 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(1.4074) 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];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.41666666666666663,
0.25,
0.45833333333333337,
0... | 0.706954 | [
-2.2632029622658724e-8,
-5.1854802319867725e-8,
4.4820222046127474e-8,
1.5707962472526489,
1.5707965017283978,
1.5707962935438762,
-1.5707965413375213,
-0.9891747217392317
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666665,
"target_ratio": 0.97,
"target_value": -1.6166666666666665
} | 185 |
43f6f12625919298bc93daa468843deb | 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}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3711, 4095], "expectation_value": -15.712681477317261, "params": null, "bitstrings": ["000110000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.0881579064491895, 0.3461984303048066], "optimization_time": 212.01233053207397} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + -1.5 * (Z(11) @ Z(10)) + 0.5 * Z(1) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.0, -20.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.0, "smallest_bitstrings": ["000110000000", "000000000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.2095230304570078) q[0];
rz(2.396995580975293) q[0];
rx(-2.311053315143983) q[1];
rz(1.5571613931385144) q[1];
rx(-2.6316736256326108) q[2];
rz(1.6384860588842933) q[2];
rx(-0.915310896141876) q[3];
rz(-1.651894697918439) q[3];
rx(-0.007582957260327583) q[4];
rz(-0... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] 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];\nh q[11];\ncry(1.5706) q[11], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973738 | [
0.2095230304570078,
0.8261992541803967,
-2.311053315143983,
-0.013634933656383083,
-2.6316736256326108,
0.06768973208939782,
-0.9153108961418762,
3.0604942824662507,
-0.007582957260327583,
-2.1309890864591625,
3.203142469918356,
1.5086519221061563,
-0.040035176274935365,
1.9777872952629079... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 469 |
a9d659a07c5ecced76200691156cd5b6 | 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": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.024028380420964817, "params": [[-0.0805], [0.0758]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.680679817525635e-05, 1.6806798175256363e-05], "optimization_time": 11.276136636734009} | 0.25 * (Z(0) @ Z(1)) + -0.0005000000000000001 * (Z(2) @ Z(0)) + -0.0005000000000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0231249999999403], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999999372, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.015374999999974} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.1993665165342126) q[0];
ry(1.349159488817914) q[1];
ry(-0.19132541863534497) q[2];
ry(1.1773938410888023) q[3];
ry(0.02722791972620106) q[4];
ry(1.7339865017081675) q[5];
ry(0.013308648564168987) q[6];
ry(1.4241067407637598) q[7];
ry(-0.17515843458619657) q[8];
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;
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,
-0.0005000000000000001,
-0.0005000000000000001,
0.25,
-0.0008749999999999999,
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-0.0008749999999999999,
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0.25,
-0.0008749999999999999,
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0.00025000000000000006,
-0.0008749999999999999,
-0.00075,
0.00025000000000000006,
0.25,
0.000375,
-0.00075,
0.00... | 0.970016 | [
-0.1993665165342126,
1.349159488817914,
-0.19132541863534497,
1.1773938410888023,
0.02722791972620106,
1.7339865017081675,
0.013308648564168987,
1.4241067407637598,
-0.17515843458619657,
-0.15675086246226944,
1.3620976591266651,
-0.045099292327448276,
1.399679424337489,
0.12330218628721508... | {
"n_parameters": 31,
"n_qubits": 16,
"optimal_eigenvalue": -2.023124999999955,
"target_ratio": 0.97,
"target_value": -1.9624312499999563
} | 27 |
90ed954541db23a75eecb07977c28089 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [3541, 3543], "expectation_value": -3.1727129936432927, "params": [[[0.2015, 0.0032], [1.3745, 0.00030000000000000003], [0.0477, 0.0048000000000000004], [0.4577, 0.0008], [0.7132000000000001, 0.0077], [0.7488, 0.0273], [0.4631, 0.0483], [0.5101, 0.10490000000000001], [0.3708, 0.26030000000000003], [0.1168, 0... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000100110000", "100000001001", "100000000110", "001001000100", "001000101000", "000011010000", "010000100010"]... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
fa12f3a697c97a90a7d75ad197dde7b9 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [8, 42], "expectation_value": -3.7499716793445517, "params": null, "bitstrings": ["110111", "010101"], "total_optimization_steps": 22, "probabilities": [1.3890484210127375e-05, 0.999985814104641], "optimization_time": 19.698829174041748} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 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(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
0,
-0.75,
-0.75,
0,
-0.75
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [511, 495], "expectation_value": -0.24380117810172405, "params": [[-0.0767], [0.079]], "bitstrings": ["000000000", "000010000"], "total_optimization_steps": 10, "probabilities": [0.0025421893314015133, 0.002604276215965147], "optimization_time": 1.0730762481689453} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 5 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.2981509844867557) q[0];
rz(1.6892537400776497) q[0];
rx(0.4727948839522916) q[1];
rz(1.25794667609434) q[1];
rx(0.382222792084763) q[2];
rz(1.8056559122353084) q[2];
rx(-0.2229001784717934) q[3];
rz(1.5523346467626133) q[3];
rx(0.0650634911757089) q[4];
rz(1.507945... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[6], q[5];
rz(x0) ... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970192 | [
0.29815098448675564,
0.11845741328275271,
0.47279488395229163,
-0.31284965070055587,
0.38222279208476295,
0.2348595854404118,
-0.2229001784717934,
-0.018461680032282907,
0.0650634911757089,
-0.0628505784713939,
1.354464253273926,
-0.13597110321905556,
0.770035313022683,
0.7558693121603418,... | {
"n_parameters": 180,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 494 |
4abb98976c4c92afe6a55c768cbc5f3f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [995, 1015], "expectation_value": -0.6622808413767949, "params": [[-0.06420000000000001], [0.063]], "bitstrings": ["0000011100", "0000001000"], "total_optimization_steps": 10, "probabilities": [0.0013958931482862399, 0.0014168589099797211], "optimization_time": 1.7266201972961426} | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(5) + -1.0 * Z(6) + ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000001000", "0000011100"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.7133345977592517) q[0];
rz(2.4866929748738684) q[0];
rx(2.3349867415549963) q[1];
rz(2.224870407069263) q[1];
rx(-2.866455492363015) q[2];
rz(2.685980046298308) q[2];
rx(-1.2658296346975773) q[3];
rz(-2.6997197482573014) q[3];
rx(0.7260537655303827) q[4];
rz(-2.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIZIZIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5
] | 0.933037 | [
-0.7133345977592517,
0.9158966480789713,
2.3349867415549963,
0.6540740802743668,
-2.866455492363015,
1.1151837195034107,
-1.265829634697577,
2.0126692321273887,
0.7260537655303827,
2.1169251406402503,
0.14170288023445293,
0.9891965203733961,
-0.12713335529982597,
1.3120205030996375,
1.07... | {
"n_parameters": 100,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
1408234504470828730 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [2, 3], [8, 3], [2, 5], [0, 7], [1, 3], [0, 5], [8, 1], [0, 3], [0, 6], [1, 2], [8, 2], [3, 6], [8, 6], [0, 4], [4, 6], [5, 6]]} | {"states": [484, 452], "expectation_value": -0.47503438945694587, "params": [0.7086, 0.0041, 0.6998000000000001, 0.0038, 0.7015, 0.0045000000000000005, 0.6952, 0.0004, 0.6986, -0.0045000000000000005, 0.6998000000000001, 0.0085, 0.6973, 0.006200000000000001, 0.6977, 0.0055000000000000005, 0.6996, 0.0025, 0.6806, 0.0014,... | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["111000100", "000111011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(-0.46641571136395593) q[3];
cx q[5], q[3];
cx q[5], q[2];
rz(-0.46641571136395593) q[2];
cx q[5], q[2];
cx q[3], q[2];
rz(-0.46641571136395593) q[2];
cx q[3], q[2];
cx q[5], q[0];
rz(-0.46641571136395593)... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIZIII",
"IIIZIIZII",
"IIIIIZZII",
"ZIIIIZIII",
"ZIIIIIZII",
"IIIZIIIIZ",
"IIIIIZIIZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIIIIIZZI",
"ZIIIIIIZI",
"IIZZIIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIZII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.413721 | [
-0.46641571136395593,
-4.553516683326534e-8,
0.6137515734397195
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 112 |
8dda24ffabea97531859d1dc867b09bf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"sour... | {"states": [304, 432], "expectation_value": -5.040184120083163, "params": [1.5883, 0.0091, 1.5862, 0.0056, -0.0071, 0.004, 1.6097000000000001, 0.004, 1.6116000000000001, 0.0053, 0.0028, 0.0027, 1.5544, 0.0053, 0.0015, 0.0095, 0.18430000000000002, 0.0078000000000000005, 0.0017000000000000001, 0.0037, 0.0041, 0.006900000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["101001110", "001001111", "011001011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.7595445558157246) q[0];
rz(-1.4769178087478574) q[0];
rx(0.05782048775792158) q[1];
rz(0.7933924130392365) q[1];
rx(-0.0020259584463541425) q[2];
rz(-0.9684494414172455) q[2];
rx(2.526108921437672) q[3];
rz(-0.7579959609525484) q[3];
rx(-2.8711462400173953) 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": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"IIIIZIZII",
"IIIZZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-1.5,
-1,
0,
-1,
-0.5
] | 0.972325 | [
2.7595445558157246,
-0.9272600871836014,
0.05782048775792159,
0.9031439877612584,
-0.0020259584463541425,
-0.744027877343859,
2.526108921437672,
3.4120390671621914,
-0.6389841941231142,
0.019407405552491472,
0.6393277781897717,
2.9704111730403135,
0.0037325363020200668,
-0.0235281613361879... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 21 |
77b6eda854af6f4158ef9bd5d20b63f7 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [0, 63], "expectation_value": -16.239823916619258, "params": [[0.0776], [-0.17170000000000002]], "bitstrings": ["111111111111", "111111000000"], "total_optimization_steps": 20, "probabilities": [0.004266283959437094, 0.004408890520629877], "optimization_time": 3.9864656925201416} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.5 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + 1.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + -3.5... | 1 | 12 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["111111000000"], "largest_eigenvalue": 55.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5854549500584008) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.5854549500584008) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3855524245999569) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.20108151478845077) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IIIZIZIII... | [
-3,
-3,
-3.5,
1,
-3.5,
1.5,
-3,
-3.5,
2,
1.5,
1,
1.5,
-3.5,
-3,
-3.5,
-3,
-3,
-3,
-3,
-3,
2,
-3,
-3,
-3,
-3,
-3,
-3,
-3,
-3,
2,
-2.5,
-2.5,
-3,
-3,
-3,
2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.53617 | [
-0.5854549500584008,
-0.3855524245999569,
-0.20108151478845077,
-0.23786488033144113,
-0.3822037664334759,
-0.9143237843026369,
0.20460471046637022,
-1.1403057676599357
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 189 |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [2, 0], "expectation_value": -2.1123752360149437, "params": null, "bitstrings": ["1101", "1111"], "total_optimization_steps": 5, "probabilities": [0.003925267827143744, 0.9874310668157752], "optimization_time": 3.9685070514678955} | 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)) + -0.625 * Z... | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"], "largest_eigenvalue": 3.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5158) q[0];\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];\... | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"ZZII",
"IZZZ",
"ZIZZ",
"ZZIZ",
"ZZZI",
"ZZZZ",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.625,
-0.625,
-0.625
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [23, 7], "expectation_value": -7.473500861296365, "params": [[-0.0688, -0.060500000000000005, -0.0459, -0.0106], [0.0787, 0.07390000000000001, 0.068, 0.053700000000000005]], "bitstrings": ["11101000", "11111000"], "total_optimization_steps": 10, "probabilities": [0.025108895458019188, 0.026604083087819395], ... | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 4 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11111000", "11101000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03992472608385109) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00269159676729528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012002982498467882) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.03992472608385109) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] | 0.704523 | [
-0.03992472608385109,
-0.00269159676729528,
0.012002982498467882,
-0.027140045216093485,
0.025484428609887977,
0.1802066675376493,
1.9968684935125172,
-0.20796776869104522,
-1.5713798940041483,
-1.5612242179332285,
-0.06687445425594916,
1.6319185724475551,
1.523682567149112,
-1.28080419968... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 344 |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [63, 121], "expectation_value": -30.30665998169914, "params": null, "bitstrings": ["11000000", "10000110"], "total_optimization_steps": 100, "probabilities": [0.0767581592572071, 0.16623903505297943], "optimization_time": 151.20527529716492} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
596dc591e846e98017ad5da8b3c9d903 | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [90, 91], "expectation_value": -1.496735787275495, "params": [0.0641, 0.4459, 0.0745, 0.40180000000000005, 0.6933, 0.30360000000000004, 0.2923, 0.3546, 0.7043, 0.0009000000000000001, 0.6987, -0.0786, 0.28650000000000003, -0.1968, 0.6996, -0.0086, 0.5805, 0.085, 0.061500000000000006, 0.462, 0.0684, 0.41850000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + -0.125 * (Z(4) @ Z(2) @ Z(6)) + -0.125 * (Z(2) @ Z(5) @ Z(6)) + -0.125 * (Z(4)... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["100100110", "111000001", "010110100", "010110001", "101000011", "101000110", "011010001", "110100100"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.1346745737184226e-08) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-1.1346745737184226e-08) q[3];
cx q[2], q[3];
rz(0.2526803351014868) q[2];
rx(-1.5707963122896773) q[2];
cx q[3], q[1];
rz(-1.1346745737184226e-08) q[1];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIZII",
"IIZIZIZII",
"IIZZIIZII",
"IIZZZIIII",
"IIZZZIZII",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIZIII",
"... | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
0.25,
-0.125,
-0.125,
-... | 0.5125 | [
-1.1346745737184226e-8,
0.25268033510148713,
-1.5707962675335227,
-1.570796312289677
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 131 |
3153044032849566377 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 6, 8], [0, 2, 5, 7, 8], [8, 2, 4, 7], [1, 2, 3, 5, 7, 8], [0, 2, 4, 5, 6]]} | {"states": [442, 498], "expectation_value": -0.3226049212342694, "params": [[-0.2872], [0.28190000000000004]], "bitstrings": ["001000101", "000001101"], "total_optimization_steps": 30, "probabilities": [0.002894197927715506, 0.002900626299683963], "optimization_time": 7.584117412567139} | 0.08333333333333334 * (Z(1) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(4)) + 0.08333333333333334 * (Z(8) @ Z(3)) + 0.08333333333333334 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(0) @ Z(4)) + 0.05 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.0500000000000003, -1.0500000000000003, -1.0500000000000003, -1.0500000000000003, -1.0500000000000003, -1.0500000000000003, -1.0500000000000003], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.05, "smallest_bitstrings": ["101100000", "011000100", "011000000", "001100000", "1... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.0003171956167204036) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(4.981645789053685e-08) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(4.981645789053685e-08) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(4.98164578... | OPENQASM 3.0;
include "stdgates.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[9] c;
qubit[9] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIZIIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIZIIIZI",
"... | [
0.08333333333333334,
0.05,
0.05,
0.05,
0.05,
0.1,
0.08333333333333334,
0.08333333333333334,
0.13333333333333333,
0.05,
0.05,
0.05,
0.05,
0.03333333333333333,
0.03333333333333333,
0.13333333333333333,
0.05,
0.16666666666666666,
0.1,
0.03333333333333333,
0.03333333333333333,
... | 0.920671 | [
0.0003171956167204036,
4.981645789053685e-8,
1.0916637892392355e-8,
-0.13437388367628372,
-0.0000016902849918017082,
-9.323250314641264e-8,
-1.5707970164893796,
-1.570796345703941,
-1.570796632421984,
1.5707965213642847,
-1.570796512887706,
-1.5707965504516435,
1.5707963780690644
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -1.0500000000000003,
"target_ratio": 0.97,
"target_value": -1.0185000000000002
} | 394 |
f490a28ecdd83f85cb7689547a0eb0f1 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [20, 38], "expectation_value": -0.18307613782815774, "params": [[0.0577, 0.0292, 0.0734], [-0.0555, -0.0165, -0.054]], "bitstrings": ["101011", "011001"], "total_optimization_steps": 10, "probabilities": [0.018305594988834797, 0.02077139491657711], "optimization_time": 3.748792886734009} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"IZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.75,
0,
-0.25,
-0.75
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
984069cd50d39f7e5d4b40fb03f5527d | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [100, 101], "expectation_value": -1.1385194421491944, "params": [0.5651, 0.5547000000000001, 0.7891, 0.7865000000000001, 0.7973, 0.7991, 0.5136000000000001, 0.5424, 0.0015, 0.002, 0.7985, 0.7996000000000001, 0.5181, 0.5445, 0.804, 0.8013, 0.2431, 0.3678, 0.4932, 0.3929, 0.7868, -0.4999, -0.5631, 0.7864, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(7) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["01101010", "10011100", "01011010", "10011010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.013838034989187923) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(-0.013838034989187923) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(-0.013838034989187923) q[4];
cx q[5], q[4];
rz(-1.5521706... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIZZIZII",
"IZZIIIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"ZZIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIIZIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
0
] | 0.975354 | [
-0.013838034989187923,
-1.5521706068876595,
1.493710746939856,
1.1584724105134467,
-1.7018112302469781
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
4139800944653054296 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 5, 6], [0, 1, 2, 3, 4, 6, 7, 8, 9], [0, 1, 2, 3, 7, 8, 10, 11], [0, 2, 3, 6, 7, 8, 11], [8, 3, 11, 9], [0, 2, 3, 5, 9, 10], [2, 3, 4, 9, 10, 11], [4, 5, 6, 7, 8, 9, 11], [0, 5, 6, 7, 9, 11], [0, 1, 2, 3, 4, 5, 8, 10, 11], [0, 1, 7, 9, 10], [1, 2, 4... | {"states": [3579, 3563], "expectation_value": -4.113173498834035, "params": [1.6663000000000001, 1.48, 1.6816, 1.4635, 0.0031000000000000003, 0.0031000000000000003, 1.6920000000000002, 1.4451, 1.5692000000000002, 1.5772000000000002, 1.5518, 1.5836000000000001, 1.5652000000000001, 1.5719, 0.7428, 0.7471, 1.5754000000000... | 0.3111111111111111 * (Z(2) @ Z(3)) + 0.13055555555555556 * (Z(5) @ Z(3)) + 0.23174603174603176 * (Z(5) @ Z(2)) + 0.2126984126984127 * (Z(6) @ Z(3)) + 0.3277777777777778 * (Z(6) @ Z(2)) + 0.29880952380952375 * (Z(6) @ Z(5)) + 0.14444444444444443 * (Z(0) @ Z(3)) + 0.16230158730158728 * (Z(0) @ Z(2)) + 0.15555555555555553... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.287301587301588], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.271825396825396, "smallest_bitstrings": ["001000010100"], "largest_eigenvalue": 23.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.6830572126354921) q[0];
rz(-0.11692346696921055) q[0];
ry(1.618635646397972) q[1];
ry(0.02535797386854237) q[2];
ry(1.5490617410051188) q[3];
ry(1.6364864233417415) q[4];
ry(1.5024668363324662) q[5];
ry(1.8067885286132452) q[6];
ry(0.6575403432755222) q[7];
ry(1.4... | 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": []} | [
"IIIIIIIIZZII",
"IIIIIIZIZIII",
"IIIIIIZIIZII",
"IIIIIZIIZIII",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIIIIIIIZIIZ",
"IIIIIIIIIZIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIIZZI",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIIIIIIIZZ",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZZI... | [
0.3111111111111111,
0.13055555555555556,
0.23174603174603176,
0.2126984126984127,
0.3277777777777778,
0.29880952380952375,
0.14444444444444443,
0.16230158730158728,
0.15555555555555553,
0.1817460317460317,
0.12063492063492062,
0.1369047619047619,
0.0496031746031746,
0.10515873015873015,
... | 0.970121 | [
1.6830572126354921,
1.618635646397972,
0.02535797386854237,
1.5490617410051188,
1.6364864233417415,
1.5024668363324662,
1.8067885286132452,
0.6575403432755222,
1.4571204402437172,
-0.03623466385120913,
1.2205936970966096,
1.2749213342300791,
-0.2338469339384211,
-0.02295446138718457,
1.0... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -4.287301587301588,
"target_ratio": 0.97,
"target_value": -4.15868253968254
} | 7 |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [3, 12], "expectation_value": -0.0012227306709453462, "params": [[-0.0162], [0.0063]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.06260192441203646, 0.06260192441203649], "optimization_time": 1.0407917499542236} | 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 | 1 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[... | null | {"circuits": [], "gradients": []} | [
"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 |
ed01866ce53def5a36a69737a2fd120b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [64, 67], "expectation_value": -3.3565073952214783, "params": [-0.0015, 0.3388, 0.5938, 0.0032, 0.0066, 0.3907, 0.0076, -0.2326, 0.004200000000000001, 0.42200000000000004, 0.0035, 0.4506, 0.3503, 0.002, 0.6064, 0.0022, -0.001, 0.3688, 0.5876, 0.0032, -0.0024000000000000002, 0.4395, 0.0016, 0.3133, 0.0004, 0.... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) q[4];
... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
-5630324896410027397 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 4], [2, 4, 5], [3, 4], [1, 2, 4]]} | {"states": [10, 42], "expectation_value": -0.5302445928582897, "params": [[[0.9945, 0.0059, 0.0006000000000000001, 0.0027], [0.9995, 0.0035, 0.9947, 0.0039000000000000003], [1.0054, 0.0032, 1.0008000000000001, 0.0037], [1.0096, -0.001, 1.0117, 0.0047], [1.006, -0.0017000000000000001, 1.0048000000000001, 0.0072000000000... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.1666... | 11 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.166666666666667, "smallest_bitstrings": ["101100", "010101", "000010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.1400048058737567) q[0];
h q[1];
cx q[1], q[0];
ry(0.1400048058737567) q[0];
cx q[1], q[0];
ry(0.05125252164333782) q[1];
cx q[0], q[1];
ry(-0.05125252164333782) q[1];
cx q[0], q[1];
ry(0.8223113227721199) q[1];
ry(-0.25736942482671854) q[0];
h q[2];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5000000000000001,
0.3333333333333333,
0.16666666666666666,
0
] | 0.979901 | [
1.4047628196801263,
-1.2557202541827004,
-0.2800096117475134,
-0.3554034703521769,
-0.06527488764655896,
0.10250504328667565,
0.8223113227721199,
-0.5223988553349956,
0.5505984524340961,
0.5610342637126242,
-0.5147388496534371,
0.2641173260144707,
-0.7650703044211512,
0.6833417728121738,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 12 |
7d6ca7bcb082771e20acb1517cc99090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 17, "source": 2, "targ... | {"states": [190, 118], "expectation_value": -31.63751123344256, "params": [[-0.0363, -0.0024000000000000002, 0.0089], [0.0732, 0.0708, 0.057600000000000005]], "bitstrings": ["101000001", "110001001"], "total_optimization_steps": 10, "probabilities": [0.009642390506796777, 0.011764912647279583], "optimization_time": 6.8... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 183.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.7199121830629105) q[0];
ry(0.06677871602384747) q[0];
rz(1.3786347799128613) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.42428552918180296) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.42428552918180296) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.42428552918180296... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20.5,
7.5,
13,
14.5,
14,
16,
19,
5,
-6
] | 0.970518 | [
0.42428552918180296,
-1.965833218271943,
1.0493207160015365,
-2.6834936732693384,
-0.31644052236695974,
0.18369882609231244,
-1.5289981623644935,
-1.4831165788801393,
0.9338974206381244,
0.9704922057475008,
0.11490768893024489,
-0.3990331598156071,
0.5720257634427621,
0.5661569682689304,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 93 |
e34a088872c22dc0a1d785c396518655 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [999, 1023], "expectation_value": -15.938786140786693, "params": null, "bitstrings": ["0000011000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.13419433423163563, 0.41549680964645014], "optimization_time": 234.938649892807} | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.8175018193799228) q[1];
h q[2];
ry(0.6279704943249745) q[2];
h q[3];
ry(0.7888045897370919) q[3];
h q[4];
ry(0.6279704943249745) q[4];
cx q[0], q[4];
ry(-0.6279704943249745) q[4];
cx q[0], q[4];
cx q[4], q[2];
ry(-0.6279704943249745) q[2];
cx q[4],... | null | {"node": 10} | {"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[0], 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] = measu... | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIZIIIII"... | [
-2.5,
0.5,
-2,
-2,
-2.5,
0.5,
-2,
1,
-2,
-1,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
-1.5
] | 0.954904 | [
1.255940988649949,
-0.9714464480630651,
1.6350036387598457,
-1.5569781696930927,
1.2394177207523704,
1.1419441914795863,
-0.00528485685004235,
0.10585486520700693,
1.3878994808107952,
2.4550688122493813,
1.5776091794741838,
0.5904139047367354,
-0.48905715676450134,
1.6233728961770226,
1.... | {
"n_parameters": 65,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 500 |
9c3f86affe867d86b1a933450f0ead98 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 1], "expectation_value": -37.85843451148094, "params": [[[0.0031000000000000003, 0.0041], [-0.0034000000000000002, 0.0077], [-0.0017000000000000001, 0.0057], [-0.003, 0.006200000000000001], [0.0028, 0.006200000000000001], [1.6142, 0.0068000000000000005]]], "bitstrings": ["111111", "111110"], "total_optim... | 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)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 6 | 1 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08159444532943627) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08159444532943627) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08159444532943627) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08159444532943627) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] | 0.972546 | [
0.08159444532943627,
0.316411072313747,
1.4274685730664627,
1.5697177918156073,
0.6556767612910719,
0.5389446975291273,
-0.02784567768025009,
-0.5301187784688065,
0.4226894690015448,
0.20765044488818968,
-0.5369605142119381,
0.8276321080557579,
-0.20067121769985835,
0.021804244236934816,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -40.25,
"target_ratio": 0.97,
"target_value": -39.0425
} | 59 |
7451171034831808797 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5, 6, 8, 9], [0, 8], [9, 11, 5, 7], [1, 2, 4, 5, 6, 7, 10]]} | {"states": [1593, 1657], "expectation_value": -1.0358019806460923, "params": [-0.002, 0.0043, 3.1397, 0.0046, 3.1385, 0.0011, 0.5002, 0.0074, 0.6657000000000001, 0.0044, 1.5869, 0.0077, 3.1397, 0.0044, 3.1394, 0.0038, 3.1437, 0.0048000000000000004, 0.5314, 0.0094, 0.5421, 0.0033, 3.1446, 0.0045000000000000005, 0.0035, ... | 0.047619047619047616 * (Z(1) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(1)) + 0.047619047619047616 * (Z(5) @ Z(2)) + 0.047619047619047616 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(3)) + 0.047619047619047616 * (Z(6) @ Z(2)) + 0.047619047619047616 * (Z(6) @ Z(1)) + 0.023809... | 16 | 12 | 1 | {"smallest_eigenvalues": [-1.1309523809523812, -1.1309523809523812, -1.1309523809523812, -1.1309523809523812, -1.1309523809523812], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.130952380952381, "smallest_bitstrings": ["101000100001", "100110000110", "111000000001", "110000100001", "000010001110"], "l... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.1272357310863368) q[0];
rz(0.08266989075241149) q[0];
rx(3.089760183512269) q[1];
rz(0.12117708800309851) q[1];
cx q[1], q[0];
rz(-0.016494730055057263) q[0];
cx q[1], q[0];
rz(-0.10666641859186449) q[1];
rx(2.92676000412195) q[2];
rz(0.27567921054572153) q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIZIIIIIZII",
"IIIZIIIIIIZI",
"IIIZIIIIZIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIZIIIIIIZII",
"IIZIIIIIIIZI",
"IIZIIIIIZ... | [
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.02... | 0.971644 | [
-0.1272357310863368,
0.06617516069735391,
3.089760183512269,
0.12117708800309851,
2.92676000412195,
0.19064087579660918,
0.2616253440922731,
-0.04152573351652675,
0.2103650763259726,
-0.04202458362631348,
2.455583247638944,
0.049434330015797785,
3.0983880473253493,
-0.06595782934045383,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -1.1309523809523812,
"target_ratio": 0.97,
"target_value": -1.0970238095238096
} | 8 |
-2740607792148196089 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 5, 7, 9, 10], [8, 2], [3, 4, 6, 7, 9, 10], [0, 2, 3, 4, 5, 6, 9], [0, 1, 3, 4, 5, 7, 8], [1, 2, 5, 7, 9], [0, 4, 6, 7, 9, 10], [0, 1, 6, 7, 8, 9], [0, 3, 6, 7, 8, 9, 10], [0, 1, 10, 6], [0, 1, 2, 3, 6], [1, 3, 5, 7, 8, 9, 10], [0, 1, 3, 6, 8, 9], [0, 4, 7... | {"states": [1995, 1931], "expectation_value": -3.165695294074656, "params": [[[2.7851000000000004, 0.0048000000000000004, 0.002, 0.007500000000000001], [0.0017000000000000001, -0.06470000000000001, 1.5742, 0.0064], [2.7957, 0.0007, 0.007, 0.0059], [0.0016, -0.1835, 1.5691000000000002, 0.0085], [1.3111000000000002, 0.00... | 0.13095238095238096 * (Z(0) @ Z(5)) + 0.18095238095238095 * (Z(7) @ Z(5)) + 0.23095238095238094 * (Z(7) @ Z(0)) + 0.18095238095238095 * (Z(9) @ Z(5)) + 0.2642857142857143 * (Z(9) @ Z(0)) + 0.3142857142857143 * (Z(9) @ Z(7)) + 0.07380952380952381 * (Z(10) @ Z(5)) + 0.2238095238095238 * (Z(10) @ Z(0)) + 0.197619047619047... | 12 | 11 | 1 | {"smallest_eigenvalues": [-3.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3666666666666663, "smallest_bitstrings": ["00001110100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(2.8029345499808036) q[0];
rz(0.02190921708431433) q[0];
ry(0.00648283796493225) q[1];
rz(-0.16544613814722786) q[1];
cz q[1], q[0];
ry(2.9936392088624246) q[1];
ry(3.117321472883386) q[2];
rz(0.010054058374893805) q[2];
ry(-0.02031008770085921) q[3];
rz(-0.217317897... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZIIIIZ",
"IIIZIZIIIII",
"IIIZIIIIIIZ",
"IZIIIZIIIII",
"IZIIIIIIIIZ",
"IZIZIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIZIIZIIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIIIIZIIZII",
"IIIIIIIIZIZ",
"IIIZIIIIZII",
"IZIIIIIIZ... | [
0.13095238095238096,
0.18095238095238095,
0.23095238095238094,
0.18095238095238095,
0.2642857142857143,
0.3142857142857143,
0.07380952380952381,
0.2238095238095238,
0.1976190476190476,
0.1976190476190476,
0.047619047619047616,
0.1476190476190476,
0.13809523809523808,
0.1476190476190476,
... | 0.972055 | [
2.8029345499808036,
0.02190921708431433,
0.00648283796493225,
-0.16544613814722786,
3.117321472883386,
0.010054058374893805,
-0.02031008770085921,
-0.2173178976531947,
0.819698238824688,
0.41636696727634936,
0.2864673325866811,
-0.00878287881307991,
0.18252937414814918,
-0.0983870367149207... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -3.466666666666667,
"target_ratio": 0.97,
"target_value": -3.3626666666666667
} | 9 |
1809061964376855019 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 5, 6, 7], [8, 2, 3, 4], [8, 3, 5, 7], [0, 2, 5, 6, 8], [1, 3, 4], [0, 3, 4, 5]]} | {"states": [411, 126], "expectation_value": -0.6279474031252221, "params": [[-0.3467], [0.3537]], "bitstrings": ["001100100", "110000001"], "total_optimization_steps": 40, "probabilities": [0.004000067805492894, 0.004075130953681328], "optimization_time": 5.835783004760742} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.4833333333333334, -1.4833333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4500000000000002, "smallest_bitstrings": ["000010110", "110000001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-2.7087035901755803) q[2];
rz(-pi) q[2];
h q[3];
ry(1.498130651797184) q[3];
cx q[3], q[2];
ry(-0.2093439334872214) q[2];
cx q[3], q[2];
h q[4];
ry(-0.2515592767588695) q[4];
cx q[1], q[4];
ry(0.2515592767588695) q[4];
cx q[1], q[4];
ry(0.613878501436... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"... | [
0.03333333333333333,
0.03333333333333333,
0.08333333333333334,
0.03333333333333333,
0.16666666666666669,
0.08333333333333334,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.08333333333333334,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.116666666666666... | 0.971793 | [
1.498130651797184,
1.1494199244572627,
0.9285633298934622,
0.4186878669744428,
-0.503118553517739,
0.41187856531057,
-0.24288728708055973,
0.3964501019084739,
-0.41812495766861707,
0.4348567990564392,
-0.31848522233866694,
0.16371095067073388,
0.1777467263505345,
-0.31559392009778936,
-0... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -1.4833333333333334,
"target_ratio": 0.97,
"target_value": -1.4388333333333334
} | 1 |
4697271696339792707 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2, 5], [8, 0, 3, 6], [8, 0, 2, 4], [3, 7]]} | {"states": [508, 415], "expectation_value": -0.5544645823768927, "params": [[-0.48900000000000005], [0.4529]], "bitstrings": ["000000011", "001100000"], "total_optimization_steps": 50, "probabilities": [0.005199280873638292, 0.00525790615942834], "optimization_time": 2.599839925765991} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["100001010", "010010110", "001100000", "001000110", "000111000", "000011110", "010110000", "110000010"], "largest_eigenvalue": 3.50... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0021224112968953493) q[0];
rz(0.9900574878032353) q[0];
rx(2.2056693510375904) q[1];
rz(1.6897641110727903) q[1];
rx(1.694399077085838) q[2];
rz(1.8552776309187617) q[2];
rx(1.0818333860876328) q[3];
rz(1.7607468788043406) q[3];
rx(1.4686097069685555) q[4];
rz(2.26... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(x0) q[8];
... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IZIIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... | 0.970078 | [
0.0021224112968953497,
-0.5807388389916616,
2.2056693510375904,
0.11896778427789373,
1.694399077085838,
0.28448130412386513,
1.0818333860876328,
0.18995055200944416,
1.4686097069685553,
0.6907757547888065,
0.055326068940549845,
-0.5390706186711719,
2.290253140602532,
0.5167688187687426,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -1.25,
"target_ratio": 0.97,
"target_value": -1.2125
} | 163 |
6325447213307762689 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5], [0, 8], [1, 3], [4, 7], [8, 6]]} | {"states": [43, 302], "expectation_value": -2.3368399386302685, "params": null, "bitstrings": ["111010100", "011010001"], "total_optimization_steps": 79, "probabilities": [0.04720803304183767, 0.68147543851604], "optimization_time": 113.67711734771729} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.5, "smallest_bitstrings": ["001110001", "010001011", "000111001", "111010100", "110011100", "011000011", "001100011", "101110100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(1.3441150311496675) q[1];
cx q[3], q[1];
rz(-1.7926916839883233e-08) q[1];
rx(-0.7853980735478627) q[1];
rz(-1.7926916839883233e-08) q[3];
rx(-0.7853980735478627) q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(1.344115031149667... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIZIIZII",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IZIIZIIII",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.823333 | [
1.3441150311496675,
-1.7926916828248568e-8,
-0.7853980735478627
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 92 |
fb55b7f27876f4dd564d8179831c511b | 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": 8, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 4}, {"weight":... | {"states": [938, 426], "expectation_value": -58.033460993420945, "params": [1.0045, -0.0359, 0.9972000000000001, 0.0039000000000000003, 1.0030000000000001, -0.042100000000000005, 0.8785000000000001, 0.0099, 1.0019, -0.0291, 0.9982000000000001, 0.0056, 0.9934000000000001, -0.2411, 0.1957, 0.0073, 0.9991000000000001, -0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 11.0 * Z(1) + 4.0 * Z(0) + 19.0 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.008892542568430466) q[0];
rz(-0.11384248325058266) q[0];
rx(0.4919661478978042) q[1];
rz(-0.0808676144598266) q[1];
rx(0.2619516652051505) q[2];
rz(0.5512985098230585) q[2];
rx(-0.31451240486600746) q[3];
rz(0.028495620137148236) q[3];
rx(0.6884787263826029) 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", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIIZIIZII",
"IIIZZIIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"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,
11,
4,
19,
1,
11,
15.5,
3.5,
0.5,
11,
3.5
] | 0.97611 | [
-0.008892542568430466,
-0.17674575563982495,
0.49196614789780424,
0.02634522535581639,
0.26195166520515045,
0.42743051038950197,
-0.3145124048660074,
0.023871641211576505,
0.6884787263826031,
-0.06629589891347555,
0.12132226553522966,
-0.44277171422291056,
0.5604772652972058,
-0.1182158825... | {
"n_parameters": 141,
"n_qubits": 10,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 51 |
5179176803525161917 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[12, 6], [6, 7], [3, 5], [8, 11], [9, 10], [11, 3, 4], [9, 12, 7], [10, 5, 7], [1, 3, 7], [10, 4, 7], [11, 6], [10, 6], [9, 4, 12], [8, 2, 5], [1, 10, 3], [1, 4], [0, 1, 6], [3, 12], [8, 4], [11, 12], [8, 6], [1, 12], [1, 11, 7]]} | {"states": [7591, 5543], "expectation_value": -5.561509091243878, "params": [2.0396, 1.1034000000000002, 2.5285, 2.2151, 2.3421000000000003, 0.8150000000000001, 0.0023, 0.0023, 1.8818000000000001, 1.2655, 1.5697, 1.5675000000000001, 0.0024000000000000002, 0.0024000000000000002, 1.5725, 1.5637, 0.0023, 0.0023, -0.0019, ... | 0.5 * (Z(12) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(12)) + 0.5 * (Z(3) @ Z(12)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(12)) + 0.166666... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.833333333333337, "smallest_bitstrings": ["0101001011000"], "largest_eigenvalue": 16.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(2.0715585431262498) q[0];
rz(-0.07352948576202904) q[0];
ry(3.05034394118402) q[1];
ry(2.3332022176144673) q[2];
ry(0.014106199926209963) q[3];
ry(1.8543595941344024) q[4];
ry(1.7133321886025676) q[5];
ry(-0.028897662098918076) q[6];
ry(1.5805513094880355) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZIIIIII",
"IIIIIZZIIIIII",
"ZIIIIZIIIIIII",
"ZIIIIIIIIZIII",
"IIIIIZIIIZIII",
"IIIIIZIZIIIII",
"IIIIIIIZIZIII",
"IIIIZIZIIIIII",
"IIIIZIIZIIIII",
"IZIIIIZIIIIII",
"ZZIIIIIIIIIII",
"IZIIIZIIIIIII",
"IZIIIIIIIZIII",
"IZIIZIIIIIIII",
"ZIIZIIIIIIIII",
"IIIZIZIIIIIII",
"IIZIIIZIIII... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.... | 0.971784 | [
2.0715585431262498,
3.05034394118402,
2.3332022176144673,
0.014106199926209963,
1.8543595941344024,
1.7133321886025676,
-0.028897662098918076,
1.5805513094880355,
-0.04243719769479405,
1.3444785694896113,
1.3713164539146783,
1.44874332354296,
-0.14705897152405809,
0.011118194732950733,
0... | {
"n_parameters": 46,
"n_qubits": 13,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 8 |
acada4066455ca7f7a579971997ec183 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 9}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [638, 574], "expectation_value": -4.022286275494009, "params": [[[1.6092000000000002, 0.0031000000000000003], [-0.0015, 0.0013000000000000002], [0.5266000000000001, 0.0066], [1.57, 0.0], [1.6127, 0.009600000000000001], [1.5944, 0.0022], [1.6115000000000002, 0.0046], [1.5997000000000001, 0.0079], [1.6122, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + -2.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(9) + -1.0 * Z(2) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110010001", "0111000001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.1682210460352724) q[0];
rz(0.07625342551968861) q[0];
rx(0.11428858128541095) q[1];
rz(0.6433416080296537) q[1];
rx(-0.15835460725320144) q[2];
rz(1.6274388449677035) q[2];
rx(0.38155495511719506) q[3];
rz(0.5099167492356086) q[3];
rx(2.7763355334445072) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIZIIIIZII",
"IZIIIIIIZI",
"IIIIIZIZII",
"ZIIIIIZIII",
"IIIIZIZIII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
0,
0,
-0.5,
0
] | 0.973413 | [
3.1682210460352724,
0.07625342551968861,
0.11428858128541095,
0.6433416080296537,
-0.15835460725320144,
1.6274388449677035,
0.38155495511719506,
0.5099167492356086,
2.7763355334445072,
-0.9179328150350878,
2.753846339571139,
0.7009378324914071,
3.1792314364990815,
-1.7817753564643466,
2.... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 30 |
6697546239503012823 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 2, 3, 4, 5, 6], [0, 2, 3, 5, 6, 7], [0, 1, 6]]} | {"states": [150, 244], "expectation_value": -0.018625709889167064, "params": [[0.0658], [-0.0629]], "bitstrings": ["01101001", "00001011"], "total_optimization_steps": 10, "probabilities": [0.004031373886157864, 0.004033550592960115], "optimization_time": 1.2944040298461914} | 0.5 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2000000000000002, "smallest_bitstrings": ["00001011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.11046639074153) q[0];
rz(-0.9822919137470743) q[0];
rx(2.721729115985683) q[1];
rz(-0.6506263308039508) q[1];
rx(3.4837593580533546) q[2];
rz(0.1413289181522362) q[2];
rx(2.8479124296405187) q[3];
rz(0.47530069380782375) q[3];
rx(0.10287586877833825) q[4];
rz(0.443... | 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[4], q[0];
r... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIIZZII",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZI... | [
0.5,
0.03333333333333333,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666... | 0.971456 | [
3.11046639074153,
-0.9822919137470743,
2.721729115985683,
-0.6506263308039508,
3.4837593580533546,
0.1413289181522362,
2.8479124296405187,
0.47530069380782375,
0.10287586877833825,
0.4433760132471837,
3.232059952972845,
0.8468623282590826,
-0.09906331326675527,
1.0364783614147381,
0.4772... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -1.2333333333333336,
"target_ratio": 0.97,
"target_value": -1.1963333333333335
} | 14 |
086fdad20e2baddfaa8981d343c52cbf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [1759, 1755], "expectation_value": -2.4003576252825356, "params": [[[-0.0029000000000000002, 0.3221], [1.1004, 0.0013000000000000002], [1.1008, -0.0027], [0.3327, -0.3864], [1.1057000000000001, -0.002], [1.0941, 0.0004], [0.34790000000000004, -0.3829], [1.1033, -0.0017000000000000001], [1.1093, 0.0011], [0.6... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(3) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(3) @ Z(7) @ Z(1)) + ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.8125, -4.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.8125, "smallest_bitstrings": ["100101000010", "100100100100"], "largest_eigenvalue": 7.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.486107937134982) q[0];
rz(1.584328007509825) q[0];
rx(0.7497295928354777) q[1];
rz(1.4244762415802557) q[1];
rx(1.0057799267278758) q[2];
rz(1.4122457714648249) q[2];
rx(1.5759784140789752) q[3];
rz(1.584328007509825) q[3];
rx(-0.01200700467075243) q[4];
rz(1.39436... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIIIIIZIZI",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIIZZIIIIIII",
"IIIIZIIIZIZI",
"IIIZIIIIZIZI",
"IIIZZIIIIIZI",
"IIIZZIIIZIII",
"IIIZZIIIZIZI",
"IIZIIIIII... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.971256 | [
0.486107937134982,
0.01353168071492847,
0.7497295928354777,
-0.1463200852146407,
1.0057799267278758,
-0.1585505553300715,
1.575978414078975,
-0.012007004670752431,
-0.17643311122663385,
1.2837486968074268,
0.09579622645603413,
-0.060140553324943315,
-0.5049312444285063,
0.02135193641582346... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
d78f7556e7639886d17f02ad3944a31a | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 451], "expectation_value": -15.34728795661799, "params": [0.7998000000000001, 0.038400000000000004, -0.7588, 0.006, -0.6774, 1.0893000000000002, -0.0429, 0.0046, -0.9758, 0.7165, 0.5563, 0.0032, 0.0001, 1.4744000000000002, -0.0046, 0.0068000000000000005, -0.0029000000000000002, 1.3386, 0.0037, 0.00260000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 6 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05874846667619159) q[0];
rz(1.9938695320304731) q[0];
rx(0.29855314565580754) q[1];
rz(-2.706525495615969) q[1];
rx(0.8586485872377975) q[2];
rz(2.2057165673183015) q[2];
rx(-0.007408008823412165) q[3];
rz(2.6264064151643502) q[3];
rx(-0.16417141447225342) 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[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] | 0.970667 | [
0.05874846667619159,
0.4230732052355772,
0.2985531456558076,
2.005863484768721,
0.8586485872377975,
0.6349202405234045,
-0.0074080088234121655,
1.0556100883694532,
-0.1641714144722534,
0.40538719110291965,
0.40044468149668,
0.7834637422395953,
-0.27756347602056,
0.5299736123246076,
0.367... | {
"n_parameters": 88,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 186 |
62ca4fdc3f835f51dee1780376d2bf19 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -3.996464044453145, "params": null, "bitstrings": ["001101", "011001"], "total_optimization_steps": 25, "probabilities": [0.06634810229922904, 0.9303665171780984], "optimization_time": 15.065248012542725} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | 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",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
dd5fc1f9f83fb22d203285a7c9a347ac | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [0, 507], "expectation_value": -5.540517007323009, "params": [0.4005, -0.0848, -0.7609, 0.0058000000000000005, 0.7796000000000001, -0.0035, -0.8065, 0.0057, 0.7372000000000001, 1.3236, -0.0279, 0.009000000000000001, 0.8896000000000001, 1.1924000000000001, -0.2742, 0.0054, 0.9449000000000001, 0.9778, -0.4244,... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 6 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.8172203096163698) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.8172203096163698) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.6794975297045968) q[1];
cx q[0], q[1];
rz(-0.6794975297045966) q[0];
rx(2.048574796605975) q[0];
rz(-0.67... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.583059 | [
-0.8172203096163698,
-0.6794975297045968,
-0.8500188890012612,
1.5707962886514641,
2.048574796605975
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 166 |
ce32d04906c10b35aef772d26e0a291a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 6, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -25.24061739972683, "params": [-0.01, 0.079, -0.0086, 0.0629, -0.0028, 0.22410000000000002, -0.0013000000000000002, 0.2369, 0.3058, 0.0011, 0.3034, 0.0014, -0.0057, 0.20750000000000002, -0.0013000000000000002, 0.2364, -0.0047, 0.22740000000000002, -0.0044, 0.2349, -0.0007, 0.24... | -1.25 * (Z(0) @ Z(6)) + -1.5 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(0)) + -2.25 * (Z(5) @ Z(10)) + -2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4)... | 6 | 11 | 3 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -25.0, "smallest_bitstrings": ["11001110111", "11011111111", "11011110111"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08610286276230583) q[0];
rz(0.025024663984201112) q[0];
rx(0.010006133710371597) q[1];
rz(0.09165310749400435) q[1];
rx(1.8925257498994459) q[2];
rz(0.008579280675736989) q[2];
rx(0.010006133710371595) q[3];
rz(-0.006211720947598032) q[3];
rx(0.026546325431169727)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"ZIIIZIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIZIIZII... | [
-1.25,
-1.5,
-1.5,
-2.25,
-2,
3,
-0.75,
-1,
-0.25,
-0.25,
-0.5,
-0.5,
-1.25,
-0.5,
-0.25,
-0.75,
-0.75,
-1.5,
-1.25,
-1.5,
-1,
-1.5,
-1.25,
-0.25,
-1,
-1.25,
-1.25,
2.25,
-0.25,
-3.5,
-1,
0,
0.5,
0,
-3,
4.25,
0.25,
0.5
] | 0.972496 | [
0.08610286276230585,
0.008650798642161749,
0.010006133710371595,
0.059167734866517496,
1.892525749899446,
-0.051947203150837035,
-0.05138715386242705,
0.026546325431169727,
0.03207408858493348,
-0.02145109338731946,
0.070994941584573,
0.039045551584475355,
-0.06497580249461249,
0.087174686... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 3 |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [59, 63], "expectation_value": -3.499984296406191, "params": null, "bitstrings": ["1000100", "1000000"], "total_optimization_steps": 18, "probabilities": [0.1249982611471617, 0.1249982611471617], "optimization_time": 13.050500631332397} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000000", "1110000", "1110100", "1010100", "1100100", "1110110", "1100000", "1010000", "1000100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7202482055888763) q[0];
h q[1];
h q[2];
h q[3];
ry(0.6763684963105008) q[3];
h q[4];
h q[5];
ry(1.544949320168152) q[5];
h q[6];
ry(0.7842758172411688) q[6];
cx q[5], q[6];
ry(-0.7842758172411688) q[6];
cx q[5], q[6];
cx q[6], q[0];
ry(0.7202482055888763) ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] | 0.997887 | [
1.544949320168152,
1.5685516344823376,
-1.4404964111777525,
1.3527369926210016,
-0.21987719305568587,
0.09712159271413541,
0.06523432631452608,
-0.047813366282852085
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [14, 49], "expectation_value": -0.38890128359701326, "params": [[-0.0626, -0.0354, -0.0119], [0.0791, 0.058600000000000006, 0.039900000000000005]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.022123354519154672, 0.022281481026473163], "optimization_time": 5.2071695... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"], "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];
h q[4];
cx q[4], q[0];
rz(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) q[2];
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[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
911c0350d38064fce133b145f43937d0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [30, 31], "expectation_value": -4.6469517737569, "params": [0.0039000000000000003, 0.20040000000000002, -0.016300000000000002, 0.2029, 0.14830000000000002, 0.1506, 0.4007, -0.0068000000000000005, 0.39990000000000003, -0.0, 0.39840000000000003, -0.0026000000000000003, 0.4035, 0.0007, 0.4037, -0.00260000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -2.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(7) + -0.5 * Z... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(1.926378162768839) q[0];
ry(3.0094995120344574) q[0];
rz(-1.1077064363245341) q[0];
rz(1.477991703600762) q[1];
ry(0.24878961299544225) q[1];
rz(-1.9301689764344323) q[1];
rz(0.4859160685465236) q[2];
ry(0.1086709468180669) q[2];
rz(-0.9325262490607766) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIZIIIZI",
"IIIZIIZI",
"ZIIIIZII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-0.5,
-0.5,
-1,
-0.5,
0,
-0.5
] | 0.973262 | [
1.095106685552927,
0.04885628729003836,
0.18811896371380793,
-0.36568754559768546,
-0.13500728073976054,
-0.4804857946323283,
0.021038093501563188,
-0.03239059418720801,
1.4372583462978532,
0.24103422777145722,
0.01954275543497633,
1.1986071404817964,
1.8958694546970323,
0.1071318443131753... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -3.90625,
"target_ratio": 0.97,
"target_value": -3.7890625
} | 18 |
79087052ad36c4cb88a3e463c779d71c | 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": [677, 675], "expectation_value": -87.60331209340796, "params": [[[1.199, 0.2331], [1.2037, 0.0702], [0.1336, 0.1723], [1.2073, 1.1842000000000001], [0.158, 1.1961000000000002], [0.5926, 0.6988000000000001], [-0.2155, 1.2078], [0.019100000000000002, 0.23140000000000002], [0.1681, 0.7861], [0.5696, 0.532], [-1... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(0) @ Z(9)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 9.5 * Z(2) + 14.5 * Z(1) + 15.0 * Z(3) + 6.0 * Z(5) +... | 15 | 11 | 2 | {"smallest_eigenvalues": [-120.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.5, "smallest_bitstrings": ["10101011100"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.7167970779872825) q[0];
ry(1.7658702550834302) q[1];
ry(-0.007171546693045441) q[2];
ry(1.3599123783790554) q[3];
ry(-0.008396959056107003) q[4];
ry(0.7589334597277559) q[5];
ry(-0.015568914008762084) q[6];
ry(0.08155456135546395) q[7];
ry(0.5998179616314319) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IZZIIIIIIII",
"IZIIIIIIIIZ",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9.5,
14.5,
15,
6,
-4.5,
1.5,
11,
14.5,
-5.5,
15.5,
-11
] | 0.9715 | [
1.7167970779872825,
1.7658702550834302,
-0.007171546693045441,
1.3599123783790554,
-0.008396959056107003,
0.7589334597277559,
-0.015568914008762084,
0.08155456135546395,
0.5998179616314319,
0.9955265357992443,
-1.5340917161142753,
0.029536753779580524,
-0.039941350422984856,
-0.07733545690... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -120.5,
"target_ratio": 0.97,
"target_value": -116.88499999999999
} | 46 |
40ef9703de0f0e767127b58189c71b80 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [1145, 1401], "expectation_value": -3.7455093918660083, "params": [[[0.9977, -0.0013000000000000002], [0.183, -0.3961], [0.5517000000000001, 0.0007], [-0.004200000000000001, -0.4857], [0.9996, 0.0009000000000000001], [0.9963000000000001, 0.0012000000000000001], [1.0024, 0.0041], [0.8142, 0.000600000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00110001010", "01010000110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-2.14299951443941) q[0];
ry(2.951852322914151) q[0];
rz(0.9480564111784915) q[0];
rz(1.9488952446393757) q[1];
ry(2.9932226655683327) q[1];
rz(-1.016284272532193) q[1];
rz(-1.7088667671243525) q[2];
ry(0.053351181700236616) q[2];
rz(1.1817402719387315) q[2];
rz(-2.3... | 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIZZIIIIZ",
"IIIIZZIZIII",
"IIIIZZIZIIZ",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIZZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,... | 0.985467 | [
1.586356220253404,
0.10337474285472067,
1.3921729469097148,
0.0546427428966528,
-0.04133221330319555,
-0.5675803014114729,
-0.9611966783195071,
1.5689529638212285,
0.08404637766294101,
1.6726427739606242,
0.17612018658686548,
1.5124795154683752,
-0.04757033533011033,
-0.0001558984275410180... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
34fec832591d56601cbd146a15fec9ed | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [138, 139], "expectation_value": -2.296690739763223, "params": [[[0.7059000000000001, -0.0026000000000000003], [0.008700000000000001, -0.0004], [-0.0078000000000000005, -0.0], [0.0659, 0.08030000000000001], [0.6980000000000001, -0.0385], [0.2866, 0.2652], [0.39230000000000004, 0.4818], [0.7050000000000001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.12... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110001", "01100011", "01110100", "01100110", "10100011"], "largest_eigenvalue": 6.625} | 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... | OPENQASM 3.0;
include "stdgates.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",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"ZIZIIIII",
"IZIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.125,
-0.25,
-1,
-0.5,
0.125,
-0.125,
-0.125,
-0.25
] | 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 |
4e789b5f5e852b62538cbace7bbd9fdb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [60, 53], "expectation_value": -3.9991341831025764, "params": null, "bitstrings": ["1000011", "1001010"], "total_optimization_steps": 29, "probabilities": [0.06620744839636572, 0.9331647657999109], "optimization_time": 21.643916845321655} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(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(3) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.054223684297274075) q[0];
ry(0.7073741458155203) q[1];
ry(0.6299212895081294) q[2];
ry(-0.0598349296055324) q[3];
ry(1.5950218172399446) q[4];
ry(0.07847122821991884) q[5];
ry(0.29667083444636855) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-1.5,
0,
0,
0
] | 0.975201 | [
-0.054223684297274075,
0.7073741458155203,
0.6299212895081294,
-0.0598349296055324,
1.5950218172399446,
0.07847122821991884,
0.29667083444636855,
2.4039220856755206,
2.585004707281585,
1.5357663759353577,
-0.4308428958250802
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 14 |
6de3ca972134e3b2df718cabf76739a9 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [56, 49], "expectation_value": -4.9999374822341585, "params": null, "bitstrings": ["000111", "001110"], "total_optimization_steps": 26, "probabilities": [1.6356494444747167e-05, 0.9999687417661175], "optimization_time": 18.337030172348022} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
0,
-1
] | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [33, 1], "expectation_value": -11.74999348972191, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 17, "probabilities": [0.4999996713631394, 0.4999996713631394], "optimization_time": 13.457895278930664} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1011110", "1111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.4347318003186254) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.16558273416228064) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.026421426916743207) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.43592444188839763) ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.25,
2.5,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
0.25,
-1.5,
2.25,
1.5,
-1.25
] | 0.970144 | [
-0.4347318003186254,
-0.16558273416228064,
0.026421426916743207,
-0.5217462601275333,
0.4586231555137733,
-0.43592444188839763,
-0.33453436399480646,
-0.03001001646313847,
-0.1127609036020698,
0.2503598948291178,
-1.103129003830037,
-0.7059981088306357,
-0.21330762283364263,
0.040023523320... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 182 |
8571677821520371940 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [0, 1, 4, 7], [8, 2, 3, 4], [0, 6], [8, 2, 3, 7], [1, 3, 4, 6], [1, 3, 7], [3, 4, 5], [8, 1, 6], [0, 2, 5, 7], [8, 1, 3, 0], [1, 2, 3], [0, 3, 4, 7], [2, 5, 6], [8, 5, 7]]} | {"states": [467, 475], "expectation_value": -2.1101189359340955, "params": [[0.37110000000000004], [-0.36250000000000004]], "bitstrings": ["000101100", "000100100"], "total_optimization_steps": 40, "probabilities": [0.011144146718555934, 0.012781346536456436], "optimization_time": 2.3988583087921143} | 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.750000000000001, "smallest_bitstrings": ["000100100"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.750364061416849) q[0];
rz(1.5546390487373154) q[0];
rx(1.692958787526179) q[1];
rz(1.6142602354611757) q[1];
rx(2.3235198365096177) q[2];
rz(1.6279098807248342) q[2];
rx(2.413483586233294) q[3];
rz(1.6284184980295127) q[3];
rx(1.923670416811399) q[4];
rz(1.55154463... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IZZIIIIII",
"IZIIIIIIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IIZIIIIZI",
"IIIIIIIZZ",
"IZIIZIIII",
"IIZIZIIII",
"IIIIZIIIZ",
"IIIIZIIZI",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIZIIII",
"IZIIIIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIZII",
"ZIIIIIZII",
"... | [
0.5,
0.25,
0.5,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.1666666... | 0.97056 | [
1.750364061416849,
-0.016157278057581007,
1.692958787526179,
0.0434639086662798,
2.3235198365096177,
0.05711355392993752,
2.413483586233294,
0.057622171234616666,
1.923670416811399,
-0.01925168970938932,
2.3290839244996677,
0.07291094991180089,
1.0873578925781666,
0.032614608046778806,
1... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.833333333333334,
"target_ratio": 0.97,
"target_value": -3.7183333333333337
} | 196 |
38980211450f7282c15e0ab435ff2cd6 | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [0, 1], "expectation_value": -6.4999926984005585, "params": null, "bitstrings": ["111111", "111110"], "total_optimization_steps": 13, "probabilities": [1.8109829322873913e-06, 0.9999981818028625], "optimization_time": 5.9166247844696045} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.18057532849171046) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.18057532849171046) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.15240128173497133) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.4649246212783777) q[1];
cx q[4... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IZIIIZ",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIZIII",
"ZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.25,
1.25,
0.25,
-0.25,
0,
-0.5,
-0.5,
1
] | 0.970699 | [
0.18057532849171046,
0.15240128173497133,
0.4649246212783777,
-0.16816126659960623,
-0.38958804491802196,
0.6933538979276795,
0.5762777327646811,
-0.6736008592295458,
1.3898734088318323,
0.35834720452177266,
0.2611471404449328,
0.6354636015951395,
-0.12256652965784247,
-0.6716227081292513,... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 144 |
406f205c8f68e15d44cfdbce281f4c7d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [41, 7], "expectation_value": -2.2084341682161965, "params": [[0.052500000000000005, 0.0717], [-0.0362, -0.0531]], "bitstrings": ["010110", "111000"], "total_optimization_steps": 10, "probabilities": [0.023196450233663086, 0.02369800781903221], "optimization_time": 3.745126247406006} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -5.868612501203972, "params": [[0.068, 0.0599, 0.0056], [-0.0742, -0.058100000000000006, -0.0329]], "bitstrings": ["1011110", "1010110"], "total_optimization_steps": 10, "probabilities": [0.02499808846466804, 0.02726414884923084], "optimization_time": 3.7681593894958496} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [21, 1], "expectation_value": -0.8595006789201279, "params": [[0.0673, 0.0152], [-0.0646, -0.0351]], "bitstrings": ["11101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0061199731222954645, 0.006643409174130552], "optimization_time": 3.2251765727996826} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.008805449081746186) q[0];
rz(0.008805449081746186) q[0];
rx(-0.06507551884342087) q[1];
rz(0.07837949212351895) q[1];
rx(0.11121083091104535) q[2];
rz(-0.12325739099878535) q[2];
rx(0.11121083091104535) q[3];
rz(-0.19545083417781706) q[3];
rx(0.23085209549836783) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-2.25,
-0.5,
-0.75,
-1.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.75,
1.5
] | 0.982302 | [
0.008805449081746186,
-0.06507551884342087,
0.07837949212351895,
0.11121083091104535,
-0.12325739099878535,
-0.19545083417781706,
0.23085209549836783,
0.25202255510293076,
0.018150580089486897,
0.04944532338292,
0.24812448242597843,
2.8641026750519627,
0.20462351945670706
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 10 |
401c13a1ccbde8a868c526c64a107baa | 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": 4, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": ... | {"states": [250, 186], "expectation_value": -91.98376832056209, "params": [0.003, -0.46240000000000003, -0.0002, -0.5583, -0.0026000000000000003, 0.4514, -0.006500000000000001, 0.4451, 0.7927000000000001, 0.1839, 0.7871, 0.1409, 0.3766, -0.2131, 0.3794, -0.23500000000000001, 0.7869, 0.1626, 0.794, 0.1134, 0.78670000000... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 12.5 * Z(2) + -3.5 * Z(1) + 14.5 *... | 5 | 10 | 2 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1101000101"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.8814340122900091) q[0];
rz(1.52121017576194) q[0];
rx(1.4930635817413018) q[1];
rz(1.4998939189595468) q[1];
rx(0.995805182105581) q[2];
rz(1.631189392322332) q[2];
rx(0.3806156506492416) q[3];
rz(1.6828445100772695) q[3];
rx(1.8792278734084493) q[4];
rz(1.557562... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12.5,
-3.5,
14.5,
14,
19,
11.5,
8.5,
12,
2,
-10.5
] | 0.973972 | [
-0.8814340122900091,
-0.04958615103295745,
1.4930635817413016,
-0.07090240783534943,
0.9958051821055811,
0.060393065527435744,
0.38061565064924163,
0.11204818328237327,
1.879227873408449,
-0.013234101665659529,
1.9284955797350398,
0.028243522989424882,
1.7649058379284628,
0.021361083254188... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 79 |
97aa58ef0b431934bfaa14698e7612e3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [18, 26], "expectation_value": -1.2608147270815686, "params": [0.5619000000000001, 0.1393, 0.5524, 0.1401, 0.801, 0.0033, 0.8002, 0.0054, 0.0028, -0.4555, 0.805, 0.0034000000000000002, 0.0028, 0.5940000000000001, 0.5695, 0.0022, 0.5585, 0.0026000000000000003, 0.7981, 0.0076, 0.7997000000000001, 0.0038, 0.002... | 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... | 18 | 7 | 2 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"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 |
878d094d83cd61d556f3c6e9e2f56136 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [31, 63], "expectation_value": -11.672739320676886, "params": [-0.011300000000000001, 1.1648, -0.0057, 1.0897000000000001, -0.18630000000000002, 1.1184, 0.3936, 0.8394, -0.6451, 1.5747, 0.7861, 0.1446, 1.0563, -0.1332, 0.7721, 0.0054, 0.0057, 0.8385, 0.0086, 0.9126000000000001, 0.0728, 0.6199, 0.1345, 0.8187... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 4 | 8 | 4 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.41940174620359777) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.08299545233313925) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.02029136466525549) q[6];
cx q[1], q[6];
cx q[1], q[5];
rz(0.026845424308... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIZIII",
"IIIZZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-1.25,
-1,
-1.5,
-0.25,
-1.25,
-1.25,
-1,
-0.75,
2.5,
-0.5,
-1,
-0.75,
-0.25,
-2.5,
-0.25,
0.25,
2.75,
-0.25,
0.5,
-0.5,
0
] | 0.970066 | [
-0.41940174620359777,
-0.08299545233313925,
0.02029136466525549,
0.026845424308438882,
-0.1511074400226168,
0.3442445421496284,
0.09946714636891019,
-0.8605793429815163,
0.5448396532517783,
0.8051674819357516,
0.6962537412208902,
1.0029268111275338,
-1.4685811446877874,
-0.6337228587060129... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 207 |
fd959b015d7c5b50b2cd05831ed95a60 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [53, 61], "expectation_value": -0.9322641200216683, "params": [-0.0021000000000000003, 0.0064, 1.4857, 0.0016, 1.7075, 0.009600000000000001, 1.7047, 0.0059, 1.6268, 0.0046, 1.7119, 0.0058000000000000005, 0.9007000000000001, 0.0091, 1.7114, 0.0016, 0.0063, 0.004, 0.0006000000000000001, 0.004200000000000001, 0... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IZIZIIII",
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"IIZIZIIZ",
"ZIIIZIIZ",
"ZIZIIIIZ",
"ZIZIZII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
0,
0,
0.125,
-0.25,
0.125,
-0.25,
0.125
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [234, 170], "expectation_value": -0.15144635070297932, "params": [0.8945000000000001, 0.8862, 0.8644000000000001, 0.8834000000000001, 0.8928, 0.8902, 0.7292000000000001, 0.6925, 0.8997, 0.8946000000000001, 0.6449, 0.6657000000000001, 0.9032, 0.8936000000000001, 0.6653, 0.6753, 0.8945000000000001, 0.509, 0.54... | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 14 | 8 | 1 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["01010101", "10101010"], "largest_eigenvalue": 1.0250000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
0.0006944444444444445,
0.0006944444444444445,
0.25,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
0.25,
0.0006944444444444445,
0.0006944444444444445,
-0.0020833333333333333,
0.0006944444444444445,
0.0006944444444444445,
-0.002083333... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [24, 9], "expectation_value": -0.8414795673598968, "params": [[-0.06330000000000001, -0.062400000000000004, -0.0655, -0.08320000000000001], [0.0698, 0.0678, 0.0634, 0.0719]], "bitstrings": ["00111", "10110"], "total_optimization_steps": 10, "probabilities": [0.05214460413039682, 0.05214460413039684], "optimi... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [0, 9], "expectation_value": -2.2499055589377397, "params": null, "bitstrings": ["1111", "0110"], "total_optimization_steps": 12, "probabilities": [1.730029747643551e-05, 0.9999393551708786], "optimization_time": 5.2690229415893555} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | 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(-1.5486) 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];\... | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [7, 3], "expectation_value": -25.026726015132176, "params": [[[0.10500000000000001, 0.002], [0.00030000000000000003, 0.0082], [0.1042, 0.008400000000000001], [0.3695, 0.0098], [1.5229000000000001, 0.0098], [1.8023, 0.0074], [1.7922, 0.0028]]], "bitstrings": ["1111000", "1111100"], "total_optimization_steps":... | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.5872911573188792) q[0];
rz(-pi) q[0];
ry(-0.26726735204165186) q[1];
rz(-pi) q[1];
ry(-0.32025952141824876) q[2];
rz(-pi) q[2];
ry(-0.6224629696099127) q[3];
rz(-pi) q[3];
ry(-0.35181623562306424) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.7161138757931876) 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] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] | 0.970185 | [
5.251233437186073,
-0.2673912936828298,
-0.7760115953540541,
-0.3650841035981909,
-1.3429305731484023,
-1.4322277515863753,
-1.1664985071735865,
1.1175018014905993,
-0.9490504200451876,
-0.543154209519463,
0.8403138767734598,
-0.42645370075633826,
-0.3266029877858881,
0.24790096395313949,
... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 1 |
dba6edf645eaaf1a507a17055e7164ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [762, 250], "expectation_value": -2.654091098323333, "params": [[[0.6939000000000001, 0.0819, 0.0004, 0.0004], [0.6785, 0.1447, 0.1584, -0.18430000000000002], [0.09140000000000001, 0.2541, 0.0959, 0.22240000000000001], [-0.006, 0.1799, 0.24500000000000002, 0.3311], [0.22820000000000001, -0.5567, 0.0627, -0.6... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010001001", "0100110100", "0010011001", "0001101100", "0011101000", "010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.1859007606528923) q[0];
rz(0.1277309969404848) q[0];
ry(0.6373581281621916) q[1];
rz(0.40391422363380924) q[1];
cx q[1], q[0];
ry(-0.3494780626691644) q[0];
rz(0.23269403163719315) q[0];
ry(0.4001222395678607) q[1];
rz(-0.2582472936170673) q[1];
ry(-0.025818624057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.125,
0.12... | 0.974622 | [
0.1859007606528923,
0.1277309969404848,
0.6373581281621916,
0.40391422363380924,
-0.025818624057445873,
-1.2207959965169293,
-0.01719509851365882,
0.6672042623739143,
0.3535564440001057,
-0.14448587096729418,
-0.14265470491067128,
0.11653979094772494,
-0.26099188668928275,
0.50058431121305... | {
"n_parameters": 107,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 118 |
fe37a95fb62cde91e69aee116b6773bd | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [124, 236], "expectation_value": -28.95805958685711, "params": null, "bitstrings": ["110000011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.058440211323662096, 0.1871033169533792], "optimization_time": 186.97690725326538} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036805554208728865) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.036805554208728865) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.036805554208728865) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.036805554208728865) q[3];
cx q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] | 0.980584 | [
-0.036805554208728865,
1.5653143209845872,
-1.520759303138704,
1.6043065486405803,
1.6061779043506268,
-0.9411390712476695,
1.5451499827051354,
1.6462955105064652,
-1.6219264994733438,
-1.3909117298929286,
-1.5458587504655341
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 43 |
7dd0a85ae083861a7e6473750beb50c4 | 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": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 25], "expectation_value": -0.6162098207653888, "params": [[-0.0477, -0.0308, -0.029300000000000003, -0.0228], [0.0692, 0.046200000000000005, 0.0307, 0.0238]], "bitstrings": ["1011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.01074807641128532, 0.011132707188077445], "optimization... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1100110", "1011001", "1111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.113092417247212) q[0];
rz(0.4880866999982407) q[0];
rx(0.38465931902777295) q[1];
rz(0.20065546137673845) q[1];
cx q[1], q[0];
rz(-0.055866517219434) q[0];
cx q[1], q[0];
rz(-0.007223024598085756) q[1];
rx(-3.0800478140916203) q[2];
rz(-0.1321662875450258) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.976959 | [
3.170092889932375,
0.4322201827788072,
0.38465931902777295,
0.20065546137673845,
3.2031374930879664,
-0.23249401823339577,
2.9439076566432285,
0.4119475223097899,
3.0429737068572065,
0.5317571013857584,
3.2364125851665366,
-0.6315713390951732,
0.1757618025061331,
-0.09015087172883156,
-0... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 14 |
af7ff602e385e2b324d14d3396a2867f | 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": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [0, 16], "expectation_value": -2.6537930486112806, "params": [[[0.30560000000000004, 0.0024000000000000002, 0.0053, 0.0005], [0.2987, 0.0002, 0.2994, 0.0009000000000000001], [-0.0029000000000000002, 0.22490000000000002, 0.008400000000000001, 0.23120000000000002], [-0.0017000000000000001, 0.2273, -0.002900000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(1) @ Z(4) @ Z(5)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) + -0.75 * Z(5) | 12 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["101111", "011111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.258296592739029) q[0];
ry(2.7563027754990026) q[0];
rz(-0.6035422421175172) q[0];
rz(1.8056855793288262) q[1];
ry(0.1335104346912194) q[1];
rz(-1.4728243365323184) q[1];
rz(0.9797327229011552) q[2];
ry(0.0729814338846568) q[2];
rz(0.3762903216833018) q[2];
rz(-1.99... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75
] | 0.980599 | [
1.034242791672522,
0.14240602016187207,
0.017687663152958916,
0.07320273075620679,
0.23209054156592357,
0.6410489198724177,
-0.04129105525821289,
0.3945629506721092,
0.13692459780759939,
0.6369740569104005,
0.025853495707741328,
0.5588185401553514,
1.0013786116648535,
-0.2008258646245596,
... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
117868407919961854 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 1, 5, 7], [1, 4, 6], [1, 5, 6], [3, 4], [0, 1, 3, 6], [2, 3, 6], [0, 4]]} | {"states": [150, 244], "expectation_value": -0.07909657694591712, "params": [[-0.0734], [0.0784]], "bitstrings": ["01101001", "00001011"], "total_optimization_steps": 10, "probabilities": [0.004262736689987156, 0.004287679461669412], "optimization_time": 2.8135640621185303} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.0833333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["00001011"], "largest_eigenvalue": 6.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.07052391438644316) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.07052391438644316) q[5];
cx q[4], q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(-1.0058490486370242) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0705... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIIIIZZ",
"ZIZIIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZZIIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IIIZZIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IZIIZIII",
"IIIZIIII",
"IIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.... | 0.621701 | [
-0.07052391438644316,
-1.0058490486370242,
0.19031562792608997,
-0.11632386412404093,
-0.9293722018251386,
-0.22879638495412868,
-1.5609333345336198,
0.4837542077754121,
-1.932802133577814,
-1.0786425621209101,
-0.17220340806136167,
0.9490570537025379
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 281 |
-524745625569635420 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 7], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10], [8, 3, 11], [9, 6], [0, 2, 3, 7, 8, 9], [9, 10, 4, 1], [2, 11], [11, 4, 6], [0, 7, 8, 9, 10], [11, 5]]} | {"states": [3838, 1790], "expectation_value": -2.8179353962199314, "params": [[[1.4777, 0.0017000000000000001], [1.8075, 0.003], [3.0781, 0.006], [0.46440000000000003, 0.0009000000000000001], [2.8731, 0.0005], [3.0943, 0.0066], [3.0882, 0.0058000000000000005], [2.4987, 0.0027], [2.6285000000000003, 0.0094], [3.0943, 0.... | 0.5 * (Z(3) @ Z(9)) + 0.09444444444444444 * (Z(0) @ Z(9)) + 0.011111111111111112 * (Z(1) @ Z(9)) + 0.011111111111111112 * (Z(1) @ Z(0)) + 0.044444444444444446 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.044444444444444446 * (Z(4) @ Z(0)) + 0.011111111111111112 * (Z(4) @ Z(1)) + 0.044444444444444446 * (Z(5) @ Z(9)) + 0.16... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.416666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3888888888888884, "smallest_bitstrings": ["100100000001"], "largest_eigenvalue": 7.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.9228332459364323) q[0];
rz(0.4216024448544957) q[0];
rx(1.5289856527888959) q[1];
rz(-0.09447950415122686) q[1];
rx(2.9627138391117205) q[2];
rz(0.024869644949180383) q[2];
rx(0.05809052664974126) q[3];
rz(0.07095814991863296) q[3];
rx(2.9711098400733738) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZIII",
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIZIIII",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIIIZIIZI",
"IIZIIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZIIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIZI... | [
0.5,
0.09444444444444444,
0.011111111111111112,
0.011111111111111112,
0.044444444444444446,
0.5,
0.044444444444444446,
0.011111111111111112,
0.044444444444444446,
0.16666666666666666,
0.044444444444444446,
0.011111111111111112,
0.044444444444444446,
0.011111111111111112,
0.16666666666666... | 0.976834 | [
0.9228332459364323,
0.4216024448544957,
1.5289856527888959,
-0.09447950415122686,
2.9627138391117205,
0.024869644949180383,
0.05809052664974126,
0.07095814991863296,
2.9711098400733738,
-0.12297780070392328,
3.1320350388478215,
0.05784301891475009,
2.7200369390872976,
0.06332528315004247,
... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -3.416666666666666,
"target_ratio": 0.97,
"target_value": -3.314166666666666
} | 9 |
03712c0a7ea12e35e919372d71f32a47 | 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": 10}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 1, "source":... | {"states": [2048, 2047], "expectation_value": -17.043409494731446, "params": [[[0.0046, -0.019100000000000002], [-0.0018000000000000002, -0.0022], [0.0025, -0.003], [0.0032, -0.003], [0.2499, -0.0019], [-0.003, -0.0021000000000000003], [0.0051, -0.0027], [0.0004, -0.0031000000000000003], [0.0059, -0.0031000000000000003... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -2.0 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(4)) + -1.0 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(6)) + -0.5 * (Z(1... | 15 | 12 | 2 | {"smallest_eigenvalues": [-17.75, -17.75, -17.75, -17.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -16.75, "smallest_bitstrings": ["100000000000", "100000010000", "100000100000", "100000110000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06596974197006086) q[0];
ry(0.3518283291894793) q[1];
ry(0.08187280043178777) q[2];
ry(0.10129438951586116) q[3];
ry(0.07825104340043709) q[4];
ry(-0.014392872995545414) q[5];
ry(-0.1175931973754186) q[6];
ry(-0.10197605899991277) q[7];
ry(-0.4094108824112516) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIZIIIIIIZII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIZIIII",
"ZIIIIIZIIIII",
"ZIIIIIIIIIZI",
"ZIIIIZIIIIII",
"ZIIIIIIZIIII",
"IIIIIIIIZIIZ",
"IIIIIIZIZIII",
"IIIZIIIIZIII",
"IIIIIIIZZ... | [
-0.25,
-1,
-2,
-0.25,
-1,
-0.75,
-0.75,
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.75,
-0.5,
0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
-1,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
0,
-1.25,
1.25,
2,
-0.25,
3,
-1.75,
0.25,
-1.75
] | 0.971567 | [
0.06596974197006086,
0.3518283291894793,
0.08187280043178777,
0.10129438951586116,
0.07825104340043709,
-0.014392872995545414,
-0.1175931973754186,
-0.10197605899991277,
-0.4094108824112516,
-0.05462938823821691,
0.18907217444587507,
2.2110657216069267,
0.12490532280554476,
-0.031474638236... | {
"n_parameters": 42,
"n_qubits": 12,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 54 |
f848d40cbfa43815a8aa73d15a4c0574 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 4}]} | {"states": [90, 87], "expectation_value": -4.240627747574098, "params": null, "bitstrings": ["0100101", "0101000"], "total_optimization_steps": 36, "probabilities": [0.08262566223526219, 0.8263846024559105], "optimization_time": 27.507599353790283} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.522122814442769) q[0];
h q[1];
ry(-1.554533748668052) q[1];
ry(-3.049141161380527) q[2];
rz(-pi) q[2];
cx q[0], q[2];
ry(0.04377797985713864) q[2];
cx q[0], q[2];
ry(-0.046724568819678486) q[0];
cx q[2], q[0];
ry(0.046724568819678486) q[0];
cx q[2], q[0];
h... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"IIIZIZI",
"ZIIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
0,
-1,
0,
0
] | 0.973378 | [
-1.554533748668052,
-0.864962968929314,
1.522122814442769,
1.1323824480941402,
-0.6313506460324426,
1.5398346705677213,
0.27570323119812223,
-0.3075256053707013,
0.25356253493994757,
-0.25646521288722784,
-0.08755595971427728,
-0.09344913763935697,
0.11012478834184519,
-0.1749207751871755,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
9537b03a0720fea9486a83164aae2375 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -2.9464823438570074, "params": [[0.029500000000000002, -0.049, -0.043500000000000004, -0.055600000000000004], [-0.0766, 0.0131, 0.036500000000000005, 0.0579]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.03230709714135196, 0.0379340807... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04459291637044844) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.13836609871095987) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.04459291637044844) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.13836609871095987) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.75,
-3.5,
3.25,
-1.75,
0,
-0.25,
-0.75,
0.75,
-1.25,
1.5
] | 0.971099 | [
-0.04459291637044844,
-0.13836609871095987,
-0.0035492850593641656,
-0.050246306238886776,
-0.3040872882365267,
0.09375049462482174,
-1.3952808476570036,
-0.935560578412678,
-0.6808490296717252,
-0.8285443807602375,
-0.9401926242259768,
0.8324490365775066,
-1.6550995825587071,
-0.140733839... | {
"n_parameters": 37,
"n_qubits": 6,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 85 |
f633ba6dc718e85c60c8fced247d835c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [127, 511], "expectation_value": -0.973239332810802, "params": [[-0.0565], [0.0708]], "bitstrings": ["111110000000", "111000000000"], "total_optimization_steps": 10, "probabilities": [0.0003710327589249649, 0.0003826135042184845], "optimization_time": 2.368314504623413} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * Z(1) + -1.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(-pi) q[0];
ry(-0.07675510109022719) q[0];
h q[1];
ry(-1.6040782714380388) q[1];
h q[2];
ry(-1.6040782714380388) q[2];
h q[3];
h q[4];
ry(0.857128409389992) q[4];
cx q[3], q[4];
ry(-0.857128409389992) q[4];
cx q[3], q[4];
ry(0.5677764547137902) q[3];
cx q[4], q[3];
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;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-2,
1,
-2,
-1,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970648 | [
-1.6040782714380388,
-1.6909962722501932,
0.008970991932876447,
0.9586281082110778,
0.3198831356019224,
1.6924710636700977,
1.1787966309162115,
0.05623212244519026,
0.8978821806139383,
-0.029813623038007248,
1.5204705232072888,
1.714256818779984,
1.1355529094275805,
-0.18985043178734073,
... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 227 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -15.361953434616456, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 50, "probabilities": [0.10929342150093539, 0.6388706778346432], "optimization_time": 49.218581438064575} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 10 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [21, 7], "expectation_value": -6.592440922385128, "params": null, "bitstrings": ["101010", "111000"], "total_optimization_steps": 55, "probabilities": [0.1059757887840329, 0.601976266942785], "optimization_time": 60.81101202964783} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | null | {"k": 3} | {"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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
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": -0.049799488779393664, "params": [[-0.0257, -0.028900000000000002, -0.033800000000000004, -0.061000000000000006], [0.0235, 0.0245, 0.030600000000000002, 0.053700000000000005]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [0.47510025561030267, 0.5248... | -1.0 * Z(0) | 1 | 1 | 4 | {"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;
input float[64] x6;
input float[64] x7;
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... | {"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 |
ce32d04906c10b35aef772d26e0a291a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 6, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -25.05123333448984, "params": [0.0012000000000000001, 0.0002, 0.0036000000000000003, 0.007, 0.20020000000000002, 0.20500000000000002, 0.0054, 0.0039000000000000003, 0.0053, 0.0009000000000000001, 0.0054, -0.002, -0.0009000000000000001, 0.0067, 0.0028, 0.0046, 0.0039000000000000... | -1.25 * (Z(0) @ Z(6)) + -1.5 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(0)) + -2.25 * (Z(5) @ Z(10)) + -2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4)... | 14 | 11 | 4 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -25.0, "smallest_bitstrings": ["11001110111", "11011110111", "11011111111"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08610286276230583) q[0];
rz(0.025024663984201112) q[0];
rx(0.010006133710371597) q[1];
rz(0.09165310749400435) q[1];
rx(1.8925257498994459) q[2];
rz(0.008579280675736989) q[2];
rx(0.010006133710371595) q[3];
rz(-0.006211720947598032) q[3];
rx(0.026546325431169727)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"ZIIIZIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIZIIZII... | [
-1.25,
-1.5,
-1.5,
-2.25,
-2,
3,
-0.75,
-1,
-0.25,
-0.25,
-0.5,
-0.5,
-1.25,
-0.5,
-0.25,
-0.75,
-0.75,
-1.5,
-1.25,
-1.5,
-1,
-1.5,
-1.25,
-0.25,
-1,
-1.25,
-1.25,
2.25,
-0.25,
-3.5,
-1,
0,
0.5,
0,
-3,
4.25,
0.25,
0.5
] | 0.972496 | [
0.08610286276230585,
0.008650798642161749,
0.010006133710371595,
0.059167734866517496,
1.892525749899446,
-0.051947203150837035,
-0.05138715386242705,
0.026546325431169727,
0.03207408858493348,
-0.02145109338731946,
0.070994941584573,
0.039045551584475355,
-0.06497580249461249,
0.087174686... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 3 |
6e246b4f8b043e471629ebc1af4389e8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -19.881558746244632, "params": [-0.016900000000000002, -0.025900000000000003, -0.0094, 0.0247, 0.0051, 0.11950000000000001, 0.0007, 0.1598, 0.0039000000000000003, 0.1593, 0.0035, 0.1603, 0.0044, 0.1479, -0.0021000000000000003, 0.1683, 0.0044, 0.1091, 0.004, 0.1114, -0.00060000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01194634455735062) q[0];
rz(1.9666572485632763) q[0];
rx(0.04982255008638896) q[1];
rz(2.1552667763161146) q[1];
rx(-0.020238097431915167) q[2];
rz(2.140479315574801) q[2];
rx(0.060897460338071176) q[3];
rz(2.129942709790207) q[3];
rx(0.24757906942032043) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZZIIII"... | [
-0.25,
-0.5,
-1,
-0.75,
-0.5,
-1,
-0.75,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-1,
-0.25,
-1.75,
-1.25,
-1.5,
-0.25,
3.25,
-1,
-0.25,
-1.25,
-0.5,
-1,
-0.75,
-0.75,
0.75,
-0.25,
-0.5,
-1.5,
0.5,
-2.75,
-1,
2.75,
1.25,
0.75
] | 0.978181 | [
-0.01194634455735062,
0.39586092176837867,
0.04982255008638896,
0.5844704495212175,
-0.02023809743191517,
0.5696829887799048,
0.06089746033807117,
0.5591463829953099,
0.24757906942032043,
0.518638731444471,
0.6253626135005458,
0.07787707616258617,
0.010719341809845045,
0.11852702364665561,... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 9 |
520b4019fb4986d4ab684733a5ebe8d8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [249, 220], "expectation_value": -6.444002440700621, "params": [[-0.031200000000000002, -0.0177], [0.0322, 0.0158]], "bitstrings": ["100000110", "100100011"], "total_optimization_steps": 10, "probabilities": [0.003077468889976927, 0.0033582354107912814], "optimization_time": 3.3416640758514404} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4463129710864574) q[0];
rz(-pi) q[1];
ry(-1.2426624200713647) q[1];
ry(-1.1969951662422582) q[2];
rz(-pi) q[2];
h q[3];
ry(1.295402841617871) q[3];
rz(-pi) q[4];
ry(-1.09230066430897) q[4];
ry(-1.0797131317453423) q[5];
rz(-pi) q[5];
h q[6];
ry(7.916716500... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] | 0.970481 | [
62.424019866519146,
62.83252087601606,
37.4514583039102,
7.916716500547319,
62.899917161244026,
-5.327529590648128,
17.8716104702074,
-0.4868593117644719,
-3.671026591069804,
2.913608838439612,
-13.419835438932315,
14.092630322700535,
2.590805683235742,
-1.140616245352763,
0.271174301315... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 50 |
4965005710375246769 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 3, 4, 5, 9], [3, 5, 7, 9, 10], [3, 5, 6, 7, 8, 10], [8, 1, 7], [1, 3, 4, 7], [10, 4, 7], [0, 9, 5, 8], [0, 1, 3, 5, 6, 7], [0, 4, 5], [0, 9, 10, 6], [2, 3, 4, 5, 6], [9, 3, 1, 7], [0, 10, 7], [1, 2, 3, 6, 9, 10], [8, 10, 4], [10, 2, 4, 6]]} | {"states": [990, 1502], "expectation_value": -2.6383346218974726, "params": [[[1.3963, -0.4037, 0.0074, 0.0073], [1.3788, -0.4048, 0.3804, 0.0027], [1.2104000000000001, 0.35760000000000003, 1.3777000000000001, 0.0058000000000000005], [0.44720000000000004, 0.5552, 0.26630000000000004, 0.0066], [1.3902, 0.0173, 1.3899000... | 0.2833333333333333 * (Z(1) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(... | 11 | 11 | 1 | {"smallest_eigenvalues": [-4.116666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9333333333333327, "smallest_bitstrings": ["01000100001"], "largest_eigenvalue": 15.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.07172039721715397) q[0];
rz(-0.6889970462317159) q[0];
ry(3.1073197791264757) q[1];
rz(-0.20851836231394713) q[1];
cx q[1], q[0];
ry(-0.003363853046931556) q[1];
rz(0.039606227446945114) q[1];
ry(0.8537219524206183) q[2];
rz(-0.05596156089940374) q[2];
ry(-0.4682... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIIIIZIZIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IZIIIIIZIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IIIZIIIZIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IZIZIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"ZIIIIZIII... | [
0.2833333333333333,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.08333333333333334,
0.26666666666666666,
0.21666666666666667,
0.16666666666666666,
0.05,
0.18333333333333335,
0.2833333333333333,
0.36666666666666664,
0.25,
0.11666666666666667,
0.13333333333333333,
0.1... | 0.97805 | [
-0.07172039721715397,
-0.6889970462317159,
3.1073197791264757,
-0.20851836231394713,
0.8537219524206183,
-0.05596156089940374,
-0.4682347380014004,
0.67361409414298,
1.5422025645279502,
0.026682885545356208,
1.7993329450255693,
-0.20084474868465865,
1.5644998642889496,
-0.16582964345201176... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -4.116666666666666,
"target_ratio": 0.97,
"target_value": -3.9931666666666663
} | 50 |
9d8cdd3ce137f8d1d89fd1fc011d16ae | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [1750, 1751], "expectation_value": -3.355541386974536, "params": [[[-0.0025, 1.4461000000000002, 0.0048000000000000004, 0.0034000000000000002], [0.7695000000000001, -0.0112, 0.7736000000000001, 0.006], [-0.3226, 0.0176, 0.0007, 0.016], [0.3483, -0.0165, 0.8464, 0.0097], [0.1087, 0.2788, 0.0037, 0.27990000000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 12 | 12 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 22, "first_excited_energy": -2.9375, "smallest_bitstrings": [... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-9.836064862456478e-09) q[0];
cx q[4], q[0];
rz(-1.5707965476190617) q[0];
rx(1.5707963181757285) q[0];
cx q[4], q[1];
rz(-9.836064862456478e-09) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-9.836064862456478e-09) q[2... | 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": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIZZZI",
"IIIIIIIZIZZI",
"IIIIIIIZZIZI",
"IIIIIIIZZZII",
"IIIIIIIZZZZI",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIIIZZIIIZI",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIZZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
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,
... | 0.818182 | [
-9.836064862456478e-9,
1.5707962869286853,
-1.5707965476190617,
1.5707963719222657,
-1.5707963008706793,
1.5707963181757285
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 155 |
-5064463662352024584 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 3, 5], [1, 6], [0, 2, 6], [2, 4]]} | {"states": [91, 27], "expectation_value": -1.8442160870983146, "params": [[[1.4725000000000001, 0.0089], [0.5910000000000001, 0.0039000000000000003], [3.0043, 0.0011], [2.9987000000000004, 0.0013000000000000002], [0.1736, 0.0032], [3.0018000000000002, 0.008], [2.7569000000000004, 0.003]]], "bitstrings": ["0100100", "11... | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["0001101", "1100100"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.5065078665915713) q[0];
h q[1];
h q[2];
ry(0.6801298920632353) q[2];
h q[3];
ry(-0.37959704417248863) q[3];
h q[4];
ry(-0.30664027815423167) q[4];
h q[5];
cx q[5], q[4];
ry(0.30664027815423167) q[4];
cx q[5], q[4];
ry(-0.5445448240218246) q[4];
ry(1.5642693... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"IZIIIZI",
"IZIZIII",
"IIIZIZI",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZIZ",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663
] | 0.974669 | [
-0.6132805563084633,
1.5642693963705254,
1.3602597841264705,
-1.0890896480436492,
-0.5676245558055724,
0.9608613470888456,
-0.2828406629662951,
0.4428258055190894,
0.1758927841425634,
-0.520821024262345,
1.0130157331831426,
-0.7591940883449773,
0.47428860641780457,
0.18771038720362018,
-... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 16 |
d570f88b03391174f5c4fdc37798fafa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1351, 1367], "expectation_value": -1.0086746302911644, "params": [[[0.8271000000000001, -0.0061], [0.3899, 0.3022], [0.994, 0.0021000000000000003], [0.7516, -0.1265], [1.0006000000000002, 0.0004], [0.3931, -0.3005], [0.8235, -0.006200000000000001], [0.3532, -0.3291], [1.0048000000000001, -0.0006000000000000... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(10) @ Z(0)) + 0.25 * ... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.125, "smallest_bitstrings": ["10100010100", "10010011000", "01010101000", "01100100100"], "largest_eigenvalue": 7.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6175144414593497) q[0];
rz(-0.22232900427623736) q[0];
rx(0.5183667130636511) q[1];
rz(0.016926362240339263) q[1];
cx q[1], q[0];
rz(0.0014986246313128393) q[0];
cx q[1], q[0];
rz(1.7254754685593765) q[0];
ry(1.6584657436649062) q[0];
rz(-1.4087148483683158) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IIIZIIIIZII",
"IZIIIIIIZII",
"IZIZIIIIIII",
"IZIZIIIIZII",
"IIIIIZIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIIIIZIIIIZ",
"IIZIIIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IZZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
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0.5,
0.5,
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0.25,
0.25,
0.25,
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0.125,
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0.125,
0.125,
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0.25,
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-0.25,
-0.25,
0,
0.125,
0,
-0.25,
-0.25,
-0.25... | 0.975672 | [
0.6175144414593497,
-0.22083037964492458,
0.5183667130636511,
0.016926362240339263,
0.9297837846283916,
0.2697403432603015,
0.7475635848314435,
0.2750676878012669,
0.1077961393889561,
0.05319325525718893,
-0.2064230392215719,
0.4454149303901243,
-0.14722154626999356,
0.20234078815004414,
... | {
"n_parameters": 74,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
4ce3f767ff46d68a338dc8273a45916a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 8}, {"source": 2, "target": 10}, {"source":... | {"states": [0, 768], "expectation_value": -37.052703622271736, "params": [0.20500000000000002, 0.0036000000000000003, 1.6300000000000001, -0.0, 0.0024000000000000002, 0.0002, -0.0024000000000000002, 0.0011, -0.0024000000000000002, 0.011000000000000001, -0.0031000000000000003, 0.0, -0.0026000000000000003, 0.0064, -0.002... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -3.5 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(2)) + -3.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(8)) + -3.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(8)) + 1.5 * (Z(4) @ Z(9)) + 1.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(8)) + -4.0... | 4 | 10 | 1 | {"smallest_eigenvalues": [-38.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["0011111111"], "largest_eigenvalue": 36.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.8257656094095063) q[0];
cx q[1], q[0];
rz(-0.23486589226033505) q[0];
rx(-1.0938997542498101) q[0];
rz(-0.23486589226033505) q[1];
rx(-1.0938997542498101) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.6934326362709677) q[2];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IZIIIIZIII",
"IZIIIIIZII",
"ZIIIIIZIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIZIIZIII",
"IIIZIIIZII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIZIII"... | [
-1,
-3,
-3.5,
-3.5,
-3.5,
-3,
1.5,
-3.5,
1,
-3.5,
1.5,
1,
0.5,
1,
-4,
-4,
0.5,
0.5,
-2.5,
0.5,
0.5,
-3.5,
0.5,
1,
-3,
0.5,
0.5,
0.5,
-2.5,
2,
-3,
-3,
-2.5,
1.5,
0.5,
1
] | 0.5479 | [
-1.8257656094095063,
-0.6934326362709677,
-0.3474208227529758,
-0.15921451700361208,
-0.1718799773829787,
-0.23486589226033489,
-0.31428418951947323,
-0.9740904044906488,
-0.59499950216267,
-1.0938997542498101
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -38,
"target_ratio": 0.97,
"target_value": -36.86
} | 251 |
37b4d7e73e68e3a0e1c4ff3b862df722 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": 0, "target":... | {"states": [256, 384], "expectation_value": -14.0628425102893, "params": [0.0039000000000000003, 0.23390000000000002, -0.0018000000000000002, 0.1888, 0.0039000000000000003, 0.2968, 0.0017000000000000001, 0.3015, 0.4036, -0.0081, 0.4062, -0.0059, -0.2368, -0.0016, -0.23670000000000002, -0.0047, 0.006500000000000001, 0.2... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + 1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(9)) + -0.75 * (Z(1) @ Z(10)) + -0.75 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z... | 6 | 11 | 3 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["11001111111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.5669637281800993) q[0];
rz(1.5392738110541604) q[0];
rx(-0.1693326796246577) q[1];
rz(1.978776938319296) q[1];
rx(1.0072783025365697) q[2];
rz(1.3515309379281302) q[2];
rx(-0.5199113401643577) q[3];
rz(1.1428119548717) q[3];
rx(0.040775400103084364) q[4];
rz(2.20... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIZIIIIII... | [
-0.25,
-0.5,
-0.75,
-0.25,
1.5,
-0.25,
-0.75,
-0.75,
-0.75,
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-0.75,
-0.75,
-0.5,
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-1,
-0.25,
0.75,
-2.75,
1,
0,
1,
-0.25,
0.25,
0.5,
0.75
] | 0.972435 | [
-0.5669637281800992,
-0.031522515740735946,
-0.16933267962465767,
0.4079806115243981,
1.00727830253657,
-0.21926538886676633,
-0.5199113401643578,
-0.42798437192319794,
0.040775400103084364,
0.6357827880817293,
-0.1361845988180261,
0.11960857671853353,
0.103151189506688,
0.1921872308399858... | {
"n_parameters": 100,
"n_qubits": 11,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 22 |
6452144470930976637 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1, 3, 4], [0, 8, 6, 9], [0, 8, 2], [0, 9, 4], [1, 2, 7], [2, 3], [1, 3, 7], [6, 7], [3, 6], [0, 3, 4], [8, 1, 2, 4], [8, 4, 5]]} | {"states": [952, 855], "expectation_value": -1.7162649825081655, "params": [[-0.37320000000000003], [0.374]], "bitstrings": ["0001000111", "0010101000"], "total_optimization_steps": 40, "probabilities": [0.00636751467886543, 0.0067258852349828535], "optimization_time": 4.3051135540008545} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(8)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7500000000000004, "smallest_bitstrings": ["0010101000"], "largest_eigenvalue": 10.5} | 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];
h q[8];
cx q[1], q[8];
rz(-0.04385866319652755) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(-0.08013174459285563) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.04385866319652755) q[4];
cx q[1], q[4];
cx q[1], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZI",
"IIIIIIZIZI",
"IZIIIIZIII",
"IIIIIZIIZI",
"IZIIIZIIII",
"IIIIIZZIII",
"IZIIIIIIIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IZIZIIIIII",
"IIIZIIZIII",
"IIIZIIIIIZ",
"ZZIIIIIIII",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIIIZIZII"... | [
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.25,
0.25,
0.5,
0.0... | 0.583793 | [
-0.04385866319652755,
-0.08013174459285563,
0.014534676914236056,
-0.40697690850404283,
-0.8269876019192312,
-1.3690205309530739,
-1.3788979649341164,
-0.13864778593798127,
0.5721644387809139,
-1.3449591884460637,
0.5346345096924523,
-1.4872887754886541,
0.9623262630488414
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -3.8333333333333335,
"target_ratio": 0.97,
"target_value": -3.7183333333333333
} | 295 |
94cfca1361c38868d8db09a321d069c0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [8058, 6010], "expectation_value": -2.053875427995487, "params": [[[2.2053000000000003, 0.0018000000000000002], [1.5353, 0.0006000000000000001], [2.0409, 0.0015], [2.123, 0.0007], [2.2004, 0.0057], [0.7798, 0.009300000000000001], [2.2012, 0.009300000000000001], [2.1968, 0.0022], [2.2089000000000003, 0.0016],... | 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(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.0625 * (... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.9375, -4.9375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.9375, "smallest_bitstrings": ["0100010000101", "0010010000110"], "largest_eigenvalue": 7.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0741674929720549) q[0];
rz(0.7794994682021965) q[0];
rx(-0.059873725570294294) q[1];
rz(0.5773305947875418) q[1];
rx(-0.07876383921970412) q[2];
rz(0.6137747115546066) q[2];
rx(1.7040315912357233) q[3];
rz(0.41693051406962534) q[3];
rx(1.5086127988222542) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.974645 | [
-0.07416749297205491,
0.7100177433344036,
-0.0598737255702943,
0.7429401296039837,
-0.07876383921970413,
0.4581722674520364,
1.7040315912357233,
0.39552254679504867,
1.5086127988222542,
-0.19483347723156516,
1.6428007234302846,
0.10133277525894693,
1.5718763803540468,
-0.2503847145843589,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 16 |
54167b50cde5b0a7a697521ad53083fa | 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": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"source": 6, "target": 7}, {"sour... | {"states": [191, 63], "expectation_value": -11.53060077518469, "params": [[[1.5093, 0.0029000000000000002], [-3.1515, 0.0076], [0.0025, 0.009000000000000001], [0.002, 0.0089], [0.0023, 0.0045000000000000005], [-0.0025, 0.0012000000000000001], [0.0025, 0.0041], [3.1388000000000003, 0.0025]]], "bitstrings": ["01000000", ... | 0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) | 2 | 8 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6365620755400754) q[0];
cx q[1], q[0];
rz(1.6370575036335282) q[0];
rx(1.6266478510850464) q[0];
rz(2.219544608246613) q[1];
rx(1.6266478510850466) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(1.5708138695970826) q[2];
cx q[3], q[2];
h q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
-1,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.777633 | [
1.6365620755400754,
1.5708138695970826,
1.5742829854598857,
2.2195446082466135,
1.6370575036335286,
1.6266478510850464
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 181 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -4.728602369911062, "params": [[[0.4635, 0.229], [0.4894, -0.20270000000000002], [0.48510000000000003, -0.1958], [0.47700000000000004, 0.2043], [0.8936000000000001, 0.0006000000000000001], [0.8643000000000001, -0.0015], [0.8982, 0.0006000000000000001]], [[0.461, 0.0073], [0.48260... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
16aed950661228e73cbfe28c55f52a27 | 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": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [250, 248], "expectation_value": -35.753829421256626, "params": [[-0.0405, 0.0089, -0.003, 0.0152], [0.0723, 0.0456, 0.063, 0.057]], "bitstrings": ["100000101", "100000111"], "total_optimization_steps": 10, "probabilities": [0.010198879588911598, 0.013887329240580146], "optimization_time": 8.340685367584229} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"], "largest_eigenvalue": 180.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.052917474503626036) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.052917474503626036) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.052917474503626036) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.052917474503626036) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
14,
21,
20.5,
14.5,
18.5,
-2.5,
2.5,
2
] | 0.974008 | [
0.052917474503626036,
-0.833862350659093,
0.7824849905832925,
-1.2282155200911047,
-0.6040929875217558,
-0.7065169793485129,
-0.9366383353961008,
0.8866394481108202,
0.5604813707399259,
1.0965652446889536,
0.8661048964931922,
-0.04698174810610116,
-0.7761643316060929,
0.6032730800075495,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 62 |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [37, 10], "expectation_value": -0.3179800992578747, "params": [[0.0693], [-0.0685]], "bitstrings": ["011010", "110101"], "total_optimization_steps": 10, "probabilities": [0.017395744701367594, 0.01746919605612408], "optimization_time": 1.3557355403900146} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.4782477501473996) q[0];
h q[1];
ry(-1.5459535955314039) q[1];
h q[2];
ry(1.4800481485142103) q[2];
h q[3];
h q[4];
ry(-0.5454937758325291) q[4];
cx q[3], q[4];
ry(0.5454937758325291) q[4];
cx q[3], q[4];
ry(1.138506081996272) q[3];
cx q[2], q[3];
ry(-0.287... | 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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-1.5,
-1.5,
-0.5
] | 0.996543 | [
-1.5459535955314039,
-1.4782477501473996,
-1.4186720615587136,
1.4800481485142103,
-1.0909875516650582,
0.8505079669655212,
-0.6834200403916963,
0.5759962300615015,
-0.4282561884336213,
-0.15321027442284385,
0.11168667375280134,
-0.09145484919133856,
-0.015716916398529537
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
d56985f232688510835b204f6df74ea2 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [12, 15], "expectation_value": -0.08795460165355895, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["0011", "0000"], "total_optimization_steps": 10, "probabilities": [0.06622630939294305, 0.06622630939294305], "optimization_time": 1.0238218307495117} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 5 | 4 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.3496888126830203) q[0];
rz(2.484506498622846) q[0];
rx(-0.3606515987656041) q[1];
rz(2.695813082918283) q[1];
rx(-0.7154262833367034) q[2];
rz(1.8175501947592743) q[2];
rx(-0.19870768265287853) q[3];
rz(1.1347460276828725) q[3];
cx q[3], q[2];
ry(-0.16829304157100... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
rz(x2) q[1];
rz(x2) q[0];
rz(x0) q[3];
rz(... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-1,
-1.5,
0.5,
0.5,
-1,
1
] | 0.971412 | [
-0.3496888126830203,
0.9137101718279496,
-0.36065159876560415,
1.125016756123386,
-0.7154262833367034,
0.24675386796437643,
-0.19870768265287853,
1.1347460276828725,
0.3365860831420172,
0.2330728285343483,
0.02036217997528407,
0.2540546231098219,
-0.1563285096769219,
0.6029637664150831,
... | {
"n_parameters": 59,
"n_qubits": 4,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 70 |
4dc7eb2b16579aab0e582a9105750b79 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"source": 6, "ta... | {"states": [0, 103], "expectation_value": -6.527692363851599, "params": [-0.5622, 1.1273, 0.3382, 0.738, -0.5759000000000001, 0.3483, -0.07400000000000001, 1.3341, 0.5755, 1.2833, -0.1766, 1.6016000000000001, 0.6482, -0.4797, 0.3441, 0.6939000000000001, 0.08650000000000001, 1.0495, -0.4055, 0.6337, -0.0653, 1.0267, -0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["0000000", "0011000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5517413785853308) q[0];
rz(2.803689702160259) q[0];
rx(0.5738410538043462) q[1];
rz(2.7933162495081607) q[1];
rx(0.0030785040495915125) q[2];
rz(1.931246459140004) q[2];
rx(-1.0109148204410165) q[3];
rz(2.5120193824806982) q[3];
rx(-0.9744558214063344) q[4];
rz(1.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.970116 | [
0.5517413785853307,
1.2328933753653626,
0.5738410538043464,
1.2225199227132642,
0.0030785040495915133,
0.36045013234510787,
-1.0109148204410165,
0.9412230556858013,
-0.9744558214063344,
0.31932405041847894,
-0.8073804844757921,
-0.458178133271434,
-0.4328206050605488,
-0.041349717089578686... | {
"n_parameters": 140,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 494 |
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