Table 5 Benchmark circuit instances with six or more qubits.

From: Quantum annealing for nearest neighbour compliance problem

Benchmark

n

m

OPT

SWAPSQ

QUBO Time

EmbedT

QPU Time

TimeQ

TimeE

SWAPSH

graycode6_47

6

5

0

0

0.13

2.17

0.72

3.02

0.02

graycode6_48

6

5

0

2

0.12

1.77

0.74

2.63

0.02

QFT_QFT6

6

15

11

65

0.57

12.75

0.83

14.15

7.43

\(11_{c}, 12_{d}\)

decod24-enable_124

6

21

5

64

0.47

25.56

0.84

26.87

1.86

decod24-enable_125

6

21

5

71

0.63

13.66

0.82

15.11

1.83

decod24-bdd_294

6

24

7

\(-2\)

0.87

7.34

0.84

9.05

9.37

mod5adder_129

6

71

34

\(-3\)

1.03

313.86

534.38

mod5adder_128

6

77

36

\(-3\)

1.11

1006.92

1103.51

\(45_{c}^{*}, 51_{d}, 46_{g}^{*}\)

decod24-enable_126

6

86

37

\(-3\)

1.11

1776.86

1954.28

xor5_254

7

5

3

8

0.32

3.44

0.70

4.46

0.61

ex1_226

7

5

3

4

0.17

4.51

0.80

5.48

0.25

QFT_QFT7

7

21

16

\(-2\)

1.12

42.98

0.86

44.96

28.26

\(28_{c}, 26_{d}, 18_{g}\)

4mod5-bdd_287

7

23

7

\(-2\)

0.94

32.21

0.86

34.01

4.30

alu-bdd_288

7

28

8

\(-2\)

1.51

115.55

0.88

117.94

20.65

ham7_106

7

49

28

\(-3\)

1.17

1804.92

495.43

ham7_105

7

65

34

\(-3\)

0.95

1010.51

1613.33

ham7_104

7

83

42

\(-3\)

2.10

1012.42

3238.82

\(56_{c}^{*}\)

QFT_QFT8

8

28

23

\(-3\)

1.24

1010.09

334.60

\(32_{c}, 33_{d}, 31_{g}\)

rd53_139

8

36

11

\(-3\)

1.56

1010.33

76.29

rd53_138

8

44

11

\(-3\)

1.94

1019.52

100.86

rd53_137

8

66

35

\(-3\)

2.89

1026.47

6271.11

QFT_QFT9

9

36

30

\(-3\)

2.69

1470.68

1482.53

\(52_{c}, 54_{d}, 49_{g}\)

QFT_QFT10

10

45

39

\(-3\)

5.15

2484.26

39594.99

\(64_{g}\)

mini_alu_305

10

57

23

\(-3\)

5.37

1028.15

1711.75

sys6-v0_144

10

62

19

\(-3\)

8.82

1057.60

887.71

rd73_141

10

64

21

\(-3\)

5.49

1016.72

845.05

parity_247

18

16

14

\(-3\)

25.77

1062.65

5762.29