Qiskit / red-queen

Quantum software benchmarking tool
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Implementation of the QFT benchmark #14

Closed raynelfss closed 2 years ago

raynelfss commented 2 years ago

Initial implementation of the Quantum Fourier Transform (QFT) benchmark. Two methods were implemented: one using the QFT and inverse QFT circuits (1) and one with only the inverse QFT circuit (2).

CLAassistant commented 2 years ago

CLA assistant check
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raynelfss commented 2 years ago

Results from running on my computer


                                                           Benchmark: Quantum Fourier Transform v1
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━━━━┓
┃ Name                                              ┃ Min             ┃ Max            ┃ Mean            ┃ depth      ┃ size        ┃ xi     ┃ fidelity      ┃
┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━━━━┩
│ qiskit (Optimization level: 1 on fake_melbourne)  │ 0.03873 (9.98)  │ 0.07493 (5.98) │ 0.06095 (11.52) │ 29 (5.80)  │ 40 (8.00)   │ 0.3243 │ 0.7144 (6.15) │
│ qiskit (Optimization level: 2 on fake_montreal)   │ 0.04479 (11.54) │ 0.06111 (4.88) │ 0.05193 (9.82)  │ 39 (7.80)  │ 49 (9.80)   │ 0.2609 │ 0.7929 (6.82) │
│ qiskit (Optimization level: 3 on fake_melbourne)  │ 0.2359 (60.79)  │ 0.268 (21.40)  │ 0.2478 (46.85)  │ 45 (9.00)  │ 78 (15.60)  │ 0.2703 │ 0.4947 (4.26) │
│ qiskit (Optimization level: 3 on fake_guadalupe)  │ 0.01409 (3.63)  │ 0.03032 (2.42) │ 0.01924 (3.64)  │ 9 (1.80)   │ 9 (1.80)    │ 0      │ 0.9969 (8.58) │
│ qiskit (Optimization level: 2 on fake_melbourne)  │ 0.133 (34.29)   │ 0.1401 (11.19) │ 0.1369 (25.89)  │ 76 (15.20) │ 113 (22.60) │ 0.3704 │ 0.3605 (3.10) │
│ qiskit (Optimization level: 1 on fake_brooklyn)   │ 0.05125 (13.21) │ 0.06695 (5.34) │ 0.05691 (10.76) │ 61 (12.20) │ 83 (16.60)  │ 0.3038 │ 0.3407 (2.93) │
│ qiskit (Optimization level: 0 on fake_brooklyn)   │ 0.02315 (5.97)  │ 0.05717 (4.56) │ 0.03502 (6.62)  │ 83 (16.60) │ 123 (24.60) │ 0.339  │ 0.2707 (2.33) │
│ qiskit (Optimization level: 2 on fake_brooklyn)   │ 0.05897 (15.20) │ 0.07244 (5.78) │ 0.06412 (12.12) │ 39 (7.80)  │ 49 (9.80)   │ 0.2609 │ 0.7845 (6.75) │
│ qiskit (Optimization level: 1 on fake_montreal)   │ 0.03144 (8.10)  │ 0.04344 (3.47) │ 0.03697 (6.99)  │ 61 (12.20) │ 81 (16.20)  │ 0.3117 │ 0.6109 (5.26) │
│ qiskit (Optimization level: 1 on fake_rochester)  │ 0.009764 (2.52) │ 0.02759 (2.20) │ 0.01729 (3.27)  │ 5 (1.0)    │ 5 (1.0)     │ 0      │ 0.9682 (8.33) │
│ qiskit (Optimization level: 2 on fake_rochester)  │ 0.04747 (12.23) │ 0.05691 (4.54) │ 0.05125 (9.69)  │ 28 (5.60)  │ 37 (7.40)   │ 0.3529 │ 0.5721 (4.92) │
│ qiskit (Optimization level: 1 on fake_guadalupe)  │ 0.01571 (4.05)  │ 0.04472 (3.57) │ 0.02763 (5.22)  │ 40 (8.00)  │ 50 (10.00)  │ 0.2553 │ 0.7293 (6.27) │
│ qiskit (Optimization level: 0 on fake_toronto)    │ 0.01916 (4.94)  │ 0.0297 (2.37)  │ 0.02391 (4.52)  │ 62 (12.40) │ 82 (16.40)  │ 0.3077 │ 0.2664 (2.29) │
│ qiskit (Optimization level: 1 on fake_toronto)    │ 0.02394 (6.17)  │ 0.02933 (2.34) │ 0.0275 (5.20)   │ 40 (8.00)  │ 50 (10.00)  │ 0.2553 │ 0.4197 (3.61) │
│ qiskit (Optimization level: 0 on fake_montreal)   │ 0.01332 (3.43)  │ 0.04679 (3.74) │ 0.02349 (4.44)  │ 62 (12.40) │ 82 (16.40)  │ 0.3077 │ 0.6109 (5.26) │
│ qiskit (Optimization level: 0 on fake_rochester)  │ 0.02006 (5.17)  │ 0.05102 (4.07) │ 0.0354 (6.69)   │ 71 (14.20) │ 102 (20.40) │ 0.4124 │ 0.1162 (1.0)  │
│ qiskit (Optimization level: 3 on fake_montreal)   │ 0.09259 (23.86) │ 0.1614 (12.89) │ 0.1205 (22.78)  │ 38 (7.60)  │ 57 (11.40)  │ 0.1481 │ 0.8054 (6.93) │
│ qiskit (Optimization level: 3 on fake_brooklyn)   │ 0.1176 (30.32)  │ 0.1817 (14.51) │ 0.1503 (28.42)  │ 38 (7.60)  │ 56 (11.20)  │ 0.1509 │ 0.799 (6.87)  │
│ qiskit (Optimization level: 2 on fake_guadalupe)  │ 0.06082 (15.68) │ 0.1119 (8.94)  │ 0.08045 (15.21) │ 80 (16.00) │ 118 (23.60) │ 0.354  │ 0.5631 (4.84) │
│ qiskit (Optimization level: 1 on fake_cairo)      │ 0.02896 (7.46)  │ 0.04532 (3.62) │ 0.03641 (6.89)  │ 61 (12.20) │ 81 (16.20)  │ 0.3117 │ 0.6067 (5.22) │
│ qiskit (Optimization level: 3 on fake_cairo)      │ 0.1134 (29.23)  │ 0.1292 (10.32) │ 0.122 (23.06)   │ 38 (7.60)  │ 56 (11.20)  │ 0.1509 │ 0.8006 (6.89) │
│ qiskit (Optimization level: 0 on fake_washington) │ 0.03494 (9.00)  │ 0.03774 (3.01) │ 0.03666 (6.93)  │ 41 (8.20)  │ 51 (10.20)  │ 0.25   │ 0.7368 (6.34) │
│ qiskit (Optimization level: 2 on fake_cairo)      │ 0.07747 (19.97) │ 0.1091 (8.71)  │ 0.09023 (17.06) │ 59 (11.80) │ 79 (15.80)  │ 0.32   │ 0.6926 (5.96) │
│ qiskit (Optimization level: 3 on fake_toronto)    │ 0.217 (55.93)   │ 0.3402 (27.16) │ 0.2782 (52.60)  │ 79 (15.80) │ 124 (24.80) │ 0.3025 │ 0.2005 (1.72) │
│ qiskit (Optimization level: 3 on fake_rochester)  │ 0.105 (27.07)   │ 0.1508 (12.04) │ 0.1241 (23.47)  │ 21 (4.20)  │ 34 (6.80)   │ 0.2581 │ 0.5786 (4.98) │
│ qiskit (Optimization level: 2 on fake_washington) │ 0.1038 (26.75)  │ 0.1188 (9.49)  │ 0.1116 (21.11)  │ 59 (11.80) │ 81 (16.20)  │ 0.3117 │ 0.5085 (4.37) │
│ qiskit (Optimization level: 2 on fake_toronto)    │ 0.04277 (11.02) │ 0.06746 (5.39) │ 0.05831 (11.03) │ 39 (7.80)  │ 49 (9.80)   │ 0.2609 │ 0.5564 (4.79) │
│ qiskit (Optimization level: 0 on fake_melbourne)  │ 0.03082 (7.94)  │ 0.1029 (8.22)  │ 0.05749 (10.87) │ 37 (7.40)  │ 55 (11.00)  │ 0.2308 │ 0.7144 (6.15) │
│ qiskit (Optimization level: 3 on fake_washington) │ 0.06912 (17.81) │ 0.07854 (6.27) │ 0.07606 (14.38) │ 9 (1.80)   │ 9 (1.80)    │ 0      │ 0.9971 (8.58) │
│ qiskit (Optimization level: 0 on fake_cairo)      │ 0.01166 (3.00)  │ 0.03498 (2.79) │ 0.01752 (3.31)  │ 62 (12.40) │ 84 (16.80)  │ 0.3    │ 0.4509 (3.88) │
│ qiskit (Optimization level: 1 on fake_washington) │ 0.03828 (9.87)  │ 0.06633 (5.30) │ 0.0496 (9.38)   │ 82 (16.40) │ 122 (24.40) │ 0.3419 │ 0.1994 (1.72) │
│ qiskit (Optimization level: 0 on fake_guadalupe)  │ 0.00388 (1.0)   │ 0.01253 (1.0)  │ 0.005288 (1.0)  │ 9 (1.80)   │ 9 (1.80)    │ 0      │ 0.9931 (8.54) │
└───────────────────────────────────────────────────┴─────────────────┴────────────────┴─────────────────┴────────────┴─────────────┴────────┴───────────────┘

                                                          Benchmark: Quantum Fourier Transform v2
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━━━━┓
┃ Name                                              ┃ Min             ┃ Max            ┃ Mean            ┃ depth     ┃ size       ┃ xi     ┃ fidelity      ┃
┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━━━━┩
│ qiskit (Optimization level: 0 on fake_toronto)    │ 0.03316 (8.86)  │ 0.08183 (7.05) │ 0.04672 (9.38)  │ 62 (7.75) │ 98 (12.25) │ 0.4086 │ 0.2076 (1.0)  │
│ qiskit (Optimization level: 0 on fake_cairo)      │ 0.01279 (3.42)  │ 0.01431 (1.23) │ 0.01358 (2.73)  │ 23 (2.88) │ 36 (4.50)  │ 0.1818 │ 0.8217 (3.96) │
│ qiskit (Optimization level: 0 on fake_montreal)   │ 0.0132 (3.53)   │ 0.01451 (1.25) │ 0.01401 (2.81)  │ 23 (2.88) │ 36 (4.50)  │ 0.1818 │ 0.7775 (3.75) │
│ qiskit (Optimization level: 2 on fake_cairo)      │ 0.03627 (9.69)  │ 0.03802 (3.27) │ 0.03693 (7.42)  │ 33 (4.12) │ 56 (7.00)  │ 0.2308 │ 0.7521 (3.62) │
│ qiskit (Optimization level: 2 on fake_guadalupe)  │ 0.007475 (2.00) │ 0.0333 (2.87)  │ 0.01403 (2.82)  │ 8 (1.0)   │ 8 (1.0)    │ 0      │ 0.9796 (4.72) │
│ qiskit (Optimization level: 3 on fake_guadalupe)  │ 0.01324 (3.54)  │ 0.03774 (3.25) │ 0.0181 (3.64)   │ 8 (1.0)   │ 8 (1.0)    │ 0      │ 0.9796 (4.72) │
│ qiskit (Optimization level: 2 on fake_montreal)   │ 0.0381 (10.18)  │ 0.04322 (3.72) │ 0.03957 (7.95)  │ 33 (4.12) │ 56 (7.00)  │ 0.2308 │ 0.7577 (3.65) │
│ qiskit (Optimization level: 3 on fake_toronto)    │ 0.02061 (5.51)  │ 0.02531 (2.18) │ 0.02298 (4.61)  │ 8 (1.0)   │ 8 (1.0)    │ 0      │ 0.9823 (4.73) │
│ qiskit (Optimization level: 1 on fake_melbourne)  │ 0.03648 (9.75)  │ 0.07189 (6.19) │ 0.05117 (10.28) │ 16 (2.00) │ 25 (3.12)  │ 0.2727 │ 0.7027 (3.39) │
│ qiskit (Optimization level: 1 on fake_brooklyn)   │ 0.02225 (5.95)  │ 0.08626 (7.43) │ 0.04346 (8.73)  │ 23 (2.88) │ 36 (4.50)  │ 0.1818 │ 0.784 (3.78)  │
│ qiskit (Optimization level: 0 on fake_melbourne)  │ 0.0346 (9.25)   │ 0.06852 (5.90) │ 0.04944 (9.93)  │ 29 (3.62) │ 48 (6.00)  │ 0.2727 │ 0.5592 (2.69) │
│ qiskit (Optimization level: 0 on fake_brooklyn)   │ 0.02299 (6.14)  │ 0.02698 (2.32) │ 0.02443 (4.91)  │ 43 (5.38) │ 80 (10.00) │ 0.2667 │ 0.4038 (1.95) │
│ qiskit (Optimization level: 2 on fake_brooklyn)   │ 0.06949 (18.58) │ 0.09153 (7.88) │ 0.07882 (15.83) │ 43 (5.38) │ 78 (9.75)  │ 0.274  │ 0.5527 (2.66) │
│ qiskit (Optimization level: 1 on fake_guadalupe)  │ 0.01473 (3.94)  │ 0.03399 (2.93) │ 0.02061 (4.14)  │ 33 (4.12) │ 56 (7.00)  │ 0.2308 │ 0.6801 (3.28) │
│ qiskit (Optimization level: 2 on fake_toronto)    │ 0.009063 (2.42) │ 0.02613 (2.25) │ 0.01578 (3.17)  │ 8 (1.0)   │ 8 (1.0)    │ 0      │ 0.9823 (4.73) │
│ qiskit (Optimization level: 2 on fake_melbourne)  │ 0.05038 (13.47) │ 0.07914 (6.81) │ 0.06273 (12.60) │ 16 (2.00) │ 25 (3.12)  │ 0.2727 │ 0.7027 (3.39) │
│ qiskit (Optimization level: 3 on fake_melbourne)  │ 0.1404 (37.54)  │ 0.1834 (15.79) │ 0.164 (32.94)   │ 24 (3.00) │ 46 (5.75)  │ 0.2381 │ 0.5873 (2.83) │
│ qiskit (Optimization level: 3 on fake_brooklyn)   │ 0.09965 (26.64) │ 0.1243 (10.70) │ 0.1153 (23.15)  │ 32 (4.00) │ 59 (7.38)  │ 0.1818 │ 0.7272 (3.50) │
│ qiskit (Optimization level: 3 on fake_rochester)  │ 0.1229 (32.87)  │ 0.1451 (12.50) │ 0.1332 (26.76)  │ 32 (4.00) │ 58 (7.25)  │ 0.3396 │ 0.2818 (1.36) │
│ qiskit (Optimization level: 1 on fake_rochester)  │ 0.03404 (9.10)  │ 0.04817 (4.15) │ 0.04107 (8.25)  │ 35 (4.38) │ 58 (7.25)  │ 0.3774 │ 0.2119 (1.02) │
│ qiskit (Optimization level: 3 on fake_montreal)   │ 0.08563 (22.89) │ 0.1292 (11.12) │ 0.1051 (21.11)  │ 32 (4.00) │ 58 (7.25)  │ 0.1852 │ 0.7585 (3.65) │
│ qiskit (Optimization level: 0 on fake_rochester)  │ 0.009903 (2.65) │ 0.02782 (2.40) │ 0.01886 (3.79)  │ 15 (1.88) │ 24 (3.00)  │ 0.2857 │ 0.3451 (1.66) │
│ qiskit (Optimization level: 2 on fake_rochester)  │ 0.04097 (10.95) │ 0.07049 (6.07) │ 0.05177 (10.40) │ 25 (3.12) │ 40 (5.00)  │ 0.3333 │ 0.4202 (2.02) │
│ qiskit (Optimization level: 1 on fake_montreal)   │ 0.02474 (6.61)  │ 0.04004 (3.45) │ 0.0288 (5.78)   │ 23 (2.88) │ 36 (4.50)  │ 0.1818 │ 0.8064 (3.89) │
│ qiskit (Optimization level: 1 on fake_cairo)      │ 0.03837 (10.26) │ 0.05567 (4.79) │ 0.04535 (9.11)  │ 43 (5.38) │ 80 (10.00) │ 0.2667 │ 0.5932 (2.86) │
│ qiskit (Optimization level: 1 on fake_toronto)    │ 0.02639 (7.05)  │ 0.03258 (2.81) │ 0.03007 (6.04)  │ 33 (4.12) │ 56 (7.00)  │ 0.2308 │ 0.4721 (2.27) │
│ qiskit (Optimization level: 1 on fake_washington) │ 0.03623 (9.68)  │ 0.05416 (4.66) │ 0.0418 (8.39)   │ 23 (2.88) │ 36 (4.50)  │ 0.1818 │ 0.8259 (3.98) │
│ qiskit (Optimization level: 0 on fake_washington) │ 0.04014 (10.73) │ 0.07432 (6.40) │ 0.05235 (10.51) │ 43 (5.38) │ 80 (10.00) │ 0.2667 │ 0.308 (1.48)  │
│ qiskit (Optimization level: 3 on fake_washington) │ 0.05362 (14.33) │ 0.05882 (5.06) │ 0.05571 (11.19) │ 8 (1.0)   │ 8 (1.0)    │ 0      │ 0.9955 (4.80) │
│ qiskit (Optimization level: 2 on fake_washington) │ 0.09463 (25.29) │ 0.1188 (10.23) │ 0.1049 (21.07)  │ 33 (4.12) │ 56 (7.00)  │ 0.2308 │ 0.7551 (3.64) │
│ qiskit (Optimization level: 0 on fake_guadalupe)  │ 0.003741 (1.0)  │ 0.01161 (1.0)  │ 0.00498 (1.0)   │ 8 (1.0)   │ 8 (1.0)    │ 0      │ 0.9769 (4.71) │
│ qiskit (Optimization level: 3 on fake_cairo)      │ 0.05643 (15.09) │ 0.1174 (10.11) │ 0.07958 (15.98) │ 32 (4.00) │ 59 (7.38)  │ 0.1818 │ 0.7567 (3.65) │
└───────────────────────────────────────────────────┴─────────────────┴────────────────┴─────────────────┴───────────┴────────────┴────────┴───────────────┘

                                TLDR
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓
┃ Name                                              ┃ Mean          ┃
┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩
│ qiskit (Optimization level: 0 on fake_brooklyn)   │ 1 (5.70)      │
│ qiskit (Optimization level: 0 on fake_cairo)      │ 0.5273 (3.01) │
│ qiskit (Optimization level: 0 on fake_guadalupe)  │ 0.1754 (1.0)  │
│ qiskit (Optimization level: 0 on fake_melbourne)  │ 1.823 (10.39) │
│ qiskit (Optimization level: 0 on fake_montreal)   │ 0.6203 (3.54) │
│ qiskit (Optimization level: 0 on fake_rochester)  │ 0.8834 (5.04) │
│ qiskit (Optimization level: 0 on fake_toronto)    │ 1.143 (6.51)  │
│ qiskit (Optimization level: 0 on fake_washington) │ 1.498 (8.54)  │
│ qiskit (Optimization level: 1 on fake_brooklyn)   │ 1.7 (9.69)    │
│ qiskit (Optimization level: 1 on fake_cairo)      │ 1.389 (7.92)  │
│ qiskit (Optimization level: 1 on fake_guadalupe)  │ 0.8159 (4.65) │
│ qiskit (Optimization level: 1 on fake_melbourne)  │ 1.909 (10.88) │
│ qiskit (Optimization level: 1 on fake_montreal)   │ 1.116 (6.36)  │
│ qiskit (Optimization level: 1 on fake_rochester)  │ 0.9109 (5.19) │
│ qiskit (Optimization level: 1 on fake_toronto)    │ 0.9831 (5.60) │
│ qiskit (Optimization level: 1 on fake_washington) │ 1.557 (8.87)  │
│ qiskit (Optimization level: 2 on fake_brooklyn)   │ 2.431 (13.85) │
│ qiskit (Optimization level: 2 on fake_cairo)      │ 1.974 (11.25) │
│ qiskit (Optimization level: 2 on fake_guadalupe)  │ 1.149 (6.55)  │
│ qiskit (Optimization level: 2 on fake_melbourne)  │ 3.168 (18.06) │
│ qiskit (Optimization level: 2 on fake_montreal)   │ 1.55 (8.83)   │
│ qiskit (Optimization level: 2 on fake_rochester)  │ 1.761 (10.04) │
│ qiskit (Optimization level: 2 on fake_toronto)    │ 1.037 (5.91)  │
│ qiskit (Optimization level: 2 on fake_washington) │ 3.7 (21.09)   │
│ qiskit (Optimization level: 3 on fake_brooklyn)   │ 4.5 (25.65)   │
│ qiskit (Optimization level: 3 on fake_cairo)      │ 3.368 (19.20) │
│ qiskit (Optimization level: 3 on fake_guadalupe)  │ 0.638 (3.64)  │
│ qiskit (Optimization level: 3 on fake_melbourne)  │ 6.892 (39.28) │
│ qiskit (Optimization level: 3 on fake_montreal)   │ 3.847 (21.93) │
│ qiskit (Optimization level: 3 on fake_rochester)  │ 4.396 (25.06) │
│ qiskit (Optimization level: 3 on fake_toronto)    │ 2.733 (15.58) │
│ qiskit (Optimization level: 3 on fake_washington) │ 2.226 (12.69) │
└───────────────────────────────────────────────────┴───────────────┘
raynelfss commented 2 years ago

This is the result after eliminating random benchmarking using the number 52 as the secret binary string:


                                                              Benchmark: Quantum Fourier Transform v1
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━┓
┃ Name                                              ┃ Min            ┃ Max            ┃ Mean           ┃ depth      ┃ size       ┃ xi            ┃ fidelity        ┃
┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━┩
│ qiskit (Optimization level: 1 on fake_melbourne)  │ 0.1173 (2.96)  │ 0.1371 (3.39)  │ 0.1276 (3.20)  │ 123 (1.17) │ 220 (1.14) │ 0.3944 (1.65) │ 0.03799 (4.63)  │
│ qiskit (Optimization level: 2 on fake_montreal)   │ 0.1112 (2.81)  │ 0.119 (2.94)   │ 0.1161 (2.91)  │ 122 (1.16) │ 221 (1.15) │ 0.3925 (1.64) │ 0.403 (49.09)   │
│ qiskit (Optimization level: 3 on fake_melbourne)  │ 0.489 (12.34)  │ 0.5413 (13.39) │ 0.5151 (12.90) │ 117 (1.11) │ 266 (1.38) │ 0.3089 (1.29) │ 0.1221 (14.87)  │
│ qiskit (Optimization level: 1 on fake_brooklyn)   │ 0.1312 (3.31)  │ 0.1499 (3.71)  │ 0.1408 (3.53)  │ 124 (1.18) │ 226 (1.17) │ 0.3836 (1.61) │ 0.2124 (25.88)  │
│ qiskit (Optimization level: 0 on fake_brooklyn)   │ 0.07348 (1.86) │ 0.1544 (3.82)  │ 0.101 (2.53)   │ 125 (1.19) │ 227 (1.18) │ 0.3818 (1.60) │ 0.2124 (25.88)  │
│ qiskit (Optimization level: 3 on fake_guadalupe)  │ 0.665 (16.79)  │ 0.7392 (18.28) │ 0.7021 (17.59) │ 121 (1.15) │ 227 (1.18) │ 0.3636 (1.52) │ 0.3532 (43.02)  │
│ qiskit (Optimization level: 0 on fake_melbourne)  │ 0.1791 (4.52)  │ 0.2117 (5.24)  │ 0.1954 (4.89)  │ 193 (1.84) │ 359 (1.86) │ 0.2386 (1.0)  │ 0.03799 (4.63)  │
│ qiskit (Optimization level: 1 on fake_montreal)   │ 0.1839 (4.64)  │ 0.2651 (6.56)  │ 0.2081 (5.21)  │ 124 (1.18) │ 226 (1.17) │ 0.3836 (1.61) │ 0.403 (49.09)   │
│ qiskit (Optimization level: 2 on fake_rochester)  │ 0.3228 (8.15)  │ 0.375 (9.28)   │ 0.3536 (8.86)  │ 112 (1.07) │ 198 (1.03) │ 0.4398 (1.84) │ 0.04752 (5.79)  │
│ qiskit (Optimization level: 2 on fake_brooklyn)   │ 0.3703 (9.35)  │ 0.4 (9.89)     │ 0.3829 (9.59)  │ 122 (1.16) │ 221 (1.15) │ 0.3925 (1.64) │ 0.3391 (41.31)  │
│ qiskit (Optimization level: 1 on fake_rochester)  │ 0.2128 (5.37)  │ 0.2893 (7.15)  │ 0.2617 (6.56)  │ 112 (1.07) │ 198 (1.03) │ 0.4398 (1.84) │ 0.04752 (5.79)  │
│ qiskit (Optimization level: 2 on fake_melbourne)  │ 0.1713 (4.33)  │ 0.2129 (5.27)  │ 0.1932 (4.84)  │ 124 (1.18) │ 225 (1.17) │ 0.3853 (1.61) │ 0.08824 (10.75) │
│ qiskit (Optimization level: 1 on fake_guadalupe)  │ 0.1215 (3.07)  │ 0.239 (5.91)   │ 0.1704 (4.27)  │ 124 (1.18) │ 226 (1.17) │ 0.3836 (1.61) │ 0.3405 (41.47)  │
│ qiskit (Optimization level: 3 on fake_montreal)   │ 0.2561 (6.46)  │ 0.2777 (6.87)  │ 0.2669 (6.69)  │ 121 (1.15) │ 227 (1.18) │ 0.3636 (1.52) │ 0.4162 (50.70)  │
│ qiskit (Optimization level: 1 on fake_toronto)    │ 0.1588 (4.01)  │ 0.2194 (5.43)  │ 0.1828 (4.58)  │ 124 (1.18) │ 226 (1.17) │ 0.3836 (1.61) │ 0.03549 (4.32)  │
│ qiskit (Optimization level: 0 on fake_rochester)  │ 1.407 (35.52)  │ 1.407 (34.80)  │ 1.407 (35.24)  │ 167 (1.59) │ 286 (1.48) │ 0.6129 (2.57) │ 0.01381 (1.68)  │
│ qiskit (Optimization level: 1 on fake_cairo)      │ 0.114 (2.88)   │ 0.1938 (4.79)  │ 0.1511 (3.79)  │ 124 (1.18) │ 226 (1.17) │ 0.3836 (1.61) │ 0.4524 (55.11)  │
│ qiskit (Optimization level: 2 on fake_washington) │ 0.3506 (8.85)  │ 0.5159 (12.76) │ 0.4003 (10.03) │ 122 (1.16) │ 221 (1.15) │ 0.3925 (1.64) │ 0.4285 (52.20)  │
│ qiskit (Optimization level: 0 on fake_washington) │ 0.03961 (1.0)  │ 0.04043 (1.0)  │ 0.03993 (1.0)  │ 125 (1.19) │ 227 (1.18) │ 0.3818 (1.60) │ 0.1047 (12.76)  │
│ qiskit (Optimization level: 3 on fake_cairo)      │ 0.6194 (15.64) │ 0.7957 (19.68) │ 0.7075 (17.72) │ 121 (1.15) │ 227 (1.18) │ 0.3636 (1.52) │ 0.4595 (55.98)  │
│ qiskit (Optimization level: 0 on fake_toronto)    │ 0.06798 (1.72) │ 0.3535 (8.74)  │ 0.1232 (3.09)  │ 177 (1.69) │ 305 (1.58) │ 0.5436 (2.28) │ 0.008209 (1.0)  │
│ qiskit (Optimization level: 3 on fake_rochester)  │ 0.5898 (14.89) │ 0.7453 (18.43) │ 0.6675 (16.72) │ 105 (1.0)  │ 193 (1.0)  │ 0.4301 (1.80) │ 0.05031 (6.13)  │
│ qiskit (Optimization level: 2 on fake_toronto)    │ 0.2106 (5.32)  │ 0.2695 (6.67)  │ 0.2298 (5.76)  │ 122 (1.16) │ 221 (1.15) │ 0.3925 (1.64) │ 0.03549 (4.32)  │
│ qiskit (Optimization level: 0 on fake_montreal)   │ 0.0824 (2.08)  │ 0.3808 (9.42)  │ 0.1734 (4.34)  │ 177 (1.69) │ 305 (1.58) │ 0.5436 (2.28) │ 0.153 (18.64)   │
│ qiskit (Optimization level: 0 on fake_guadalupe)  │ 0.7317 (18.47) │ 0.7317 (18.10) │ 0.7317 (18.33) │ 177 (1.69) │ 305 (1.58) │ 0.5436 (2.28) │ 0.1173 (14.29)  │
│ qiskit (Optimization level: 3 on fake_toronto)    │ 0.2344 (5.92)  │ 0.7197 (17.80) │ 0.4154 (10.40) │ 121 (1.15) │ 227 (1.18) │ 0.3636 (1.52) │ 0.04321 (5.26)  │
│ qiskit (Optimization level: 1 on fake_washington) │ 0.08069 (2.04) │ 0.1311 (3.24)  │ 0.1048 (2.62)  │ 124 (1.18) │ 226 (1.17) │ 0.3836 (1.61) │ 0.1047 (12.76)  │
│ qiskit (Optimization level: 2 on fake_cairo)      │ 0.1089 (2.75)  │ 0.165 (4.08)   │ 0.1386 (3.47)  │ 122 (1.16) │ 221 (1.15) │ 0.3925 (1.64) │ 0.4524 (55.11)  │
│ qiskit (Optimization level: 2 on fake_guadalupe)  │ 0.08883 (2.24) │ 0.1116 (2.76)  │ 0.09588 (2.40) │ 122 (1.16) │ 221 (1.15) │ 0.3925 (1.64) │ 0.3405 (41.47)  │
│ qiskit (Optimization level: 3 on fake_washington) │ 0.5757 (14.53) │ 0.8478 (20.97) │ 0.7382 (18.49) │ 121 (1.15) │ 227 (1.18) │ 0.3636 (1.52) │ 0.4403 (53.63)  │
│ qiskit (Optimization level: 0 on fake_cairo)      │ 0.04527 (1.14) │ 0.07121 (1.76) │ 0.05882 (1.47) │ 177 (1.69) │ 305 (1.58) │ 0.5436 (2.28) │ 0.1474 (17.95)  │
│ qiskit (Optimization level: 3 on fake_brooklyn)   │ 0.1825 (4.61)  │ 0.2442 (6.04)  │ 0.2057 (5.15)  │ 121 (1.15) │ 227 (1.18) │ 0.3636 (1.52) │ 0.3509 (42.75)  │
└───────────────────────────────────────────────────┴────────────────┴────────────────┴────────────────┴────────────┴────────────┴───────────────┴─────────────────┘

                                                             Benchmark: Quantum Fourier Transform v2
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┓
┃ Name                                              ┃ Min            ┃ Max            ┃ Mean           ┃ depth     ┃ size       ┃ xi            ┃ fidelity       ┃
┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━┩
│ qiskit (Optimization level: 2 on fake_cairo)      │ 0.07123 (3.42) │ 0.07851 (3.16) │ 0.07657 (3.50) │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.3807 (18.83) │
│ qiskit (Optimization level: 2 on fake_guadalupe)  │ 0.0488 (2.34)  │ 0.07234 (2.92) │ 0.06594 (3.01) │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.3181 (15.73) │
│ qiskit (Optimization level: 2 on fake_montreal)   │ 0.07148 (3.43) │ 0.07914 (3.19) │ 0.07473 (3.41) │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.3487 (17.25) │
│ qiskit (Optimization level: 3 on fake_guadalupe)  │ 0.1588 (7.61)  │ 0.3722 (15.00) │ 0.2584 (11.80) │ 62 (1.19) │ 140 (1.30) │ 0.3008 (1.32) │ 0.3263 (16.14) │
│ qiskit (Optimization level: 0 on fake_brooklyn)   │ 0.02085 (1.0)  │ 0.02481 (1.0)  │ 0.0219 (1.0)   │ 63 (1.21) │ 140 (1.30) │ 0.3158 (1.39) │ 0.2508 (12.41) │
│ qiskit (Optimization level: 2 on fake_brooklyn)   │ 0.08172 (3.92) │ 0.09699 (3.91) │ 0.08771 (4.00) │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.3279 (16.22) │
│ qiskit (Optimization level: 1 on fake_brooklyn)   │ 0.08223 (3.94) │ 0.1197 (4.82)  │ 0.0953 (4.35)  │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.2508 (12.41) │
│ qiskit (Optimization level: 1 on fake_guadalupe)  │ 0.09468 (4.54) │ 0.1292 (5.21)  │ 0.1064 (4.86)  │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.3181 (15.73) │
│ qiskit (Optimization level: 0 on fake_melbourne)  │ 0.09285 (4.45) │ 0.1701 (6.86)  │ 0.1429 (6.52)  │ 95 (1.83) │ 192 (1.78) │ 0.227 (1.0)   │ 0.07458 (3.69) │
│ qiskit (Optimization level: 3 on fake_toronto)    │ 0.371 (17.79)  │ 0.4886 (19.70) │ 0.4239 (19.36) │ 62 (1.19) │ 140 (1.30) │ 0.3008 (1.32) │ 0.1232 (6.09)  │
│ qiskit (Optimization level: 0 on fake_toronto)    │ 0.04412 (2.12) │ 0.08633 (3.48) │ 0.06274 (2.86) │ 93 (1.79) │ 179 (1.66) │ 0.4709 (2.07) │ 0.02295 (1.14) │
│ qiskit (Optimization level: 1 on fake_rochester)  │ 0.1465 (7.03)  │ 0.1976 (7.97)  │ 0.1728 (7.89)  │ 55 (1.06) │ 110 (1.02) │ 0.4078 (1.80) │ 0.0786 (3.89)  │
│ qiskit (Optimization level: 2 on fake_toronto)    │ 0.1913 (9.18)  │ 0.2665 (10.75) │ 0.2121 (9.69)  │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.1045 (5.17)  │
│ qiskit (Optimization level: 0 on fake_montreal)   │ 0.05473 (2.62) │ 0.06527 (2.63) │ 0.06093 (2.78) │ 93 (1.79) │ 179 (1.66) │ 0.4709 (2.07) │ 0.2 (9.89)     │
│ qiskit (Optimization level: 0 on fake_cairo)      │ 0.05166 (2.48) │ 0.06785 (2.74) │ 0.05744 (2.62) │ 93 (1.79) │ 179 (1.66) │ 0.4709 (2.07) │ 0.2476 (12.25) │
│ qiskit (Optimization level: 3 on fake_rochester)  │ 0.4609 (22.10) │ 0.4888 (19.71) │ 0.4753 (21.70) │ 52 (1.0)  │ 108 (1.0)  │ 0.396 (1.74)  │ 0.08235 (4.07) │
│ qiskit (Optimization level: 3 on fake_brooklyn)   │ 0.4951 (23.74) │ 0.573 (23.10)  │ 0.541 (24.70)  │ 62 (1.19) │ 141 (1.31) │ 0.2985 (1.31) │ 0.3347 (16.55) │
│ qiskit (Optimization level: 1 on fake_melbourne)  │ 0.07084 (3.40) │ 0.09598 (3.87) │ 0.08117 (3.71) │ 62 (1.19) │ 121 (1.12) │ 0.3684 (1.62) │ 0.07458 (3.69) │
│ qiskit (Optimization level: 0 on fake_rochester)  │ 0.05906 (2.83) │ 0.1939 (7.82)  │ 0.0947 (4.32)  │ 79 (1.52) │ 157 (1.45) │ 0.58 (2.55)   │ 0.02022 (1.0)  │
│ qiskit (Optimization level: 2 on fake_melbourne)  │ 0.2559 (12.27) │ 0.3291 (13.27) │ 0.2999 (13.69) │ 63 (1.21) │ 124 (1.15) │ 0.359 (1.58)  │ 0.1562 (7.73)  │
│ qiskit (Optimization level: 1 on fake_cairo)      │ 0.07476 (3.59) │ 0.1157 (4.67)  │ 0.09893 (4.52) │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.3807 (18.83) │
│ qiskit (Optimization level: 3 on fake_montreal)   │ 0.3058 (14.67) │ 0.3457 (13.94) │ 0.326 (14.88)  │ 62 (1.19) │ 140 (1.30) │ 0.3008 (1.32) │ 0.3557 (17.59) │
│ qiskit (Optimization level: 1 on fake_washington) │ 0.099 (4.75)   │ 0.154 (6.21)   │ 0.1318 (6.02)  │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.1653 (8.18)  │
│ qiskit (Optimization level: 2 on fake_rochester)  │ 0.145 (6.95)   │ 0.1845 (7.44)  │ 0.1679 (7.67)  │ 55 (1.06) │ 110 (1.02) │ 0.4078 (1.80) │ 0.0786 (3.89)  │
│ qiskit (Optimization level: 3 on fake_washington) │ 0.2071 (9.93)  │ 0.7444 (30.01) │ 0.3824 (17.46) │ 62 (1.19) │ 141 (1.31) │ 0.2985 (1.31) │ 0.3753 (18.56) │
│ qiskit (Optimization level: 1 on fake_toronto)    │ 0.08797 (4.22) │ 0.1281 (5.16)  │ 0.1 (4.57)     │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.1045 (5.17)  │
│ qiskit (Optimization level: 0 on fake_guadalupe)  │ 0.4593 (22.03) │ 0.5792 (23.35) │ 0.5308 (24.23) │ 93 (1.79) │ 179 (1.66) │ 0.4709 (2.07) │ 0.1906 (9.43)  │
│ qiskit (Optimization level: 0 on fake_washington) │ 0.03186 (1.53) │ 0.08561 (3.45) │ 0.04424 (2.02) │ 63 (1.21) │ 140 (1.30) │ 0.3158 (1.39) │ 0.1653 (8.18)  │
│ qiskit (Optimization level: 3 on fake_melbourne)  │ 0.2758 (13.23) │ 0.2927 (11.80) │ 0.2833 (12.93) │ 60 (1.15) │ 145 (1.34) │ 0.2899 (1.28) │ 0.1807 (8.94)  │
│ qiskit (Optimization level: 2 on fake_washington) │ 0.1149 (5.51)  │ 0.134 (5.40)   │ 0.1269 (5.79)  │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.3697 (18.29) │
│ qiskit (Optimization level: 1 on fake_montreal)   │ 0.0274 (1.31)  │ 0.05219 (2.10) │ 0.03616 (1.65) │ 63 (1.21) │ 138 (1.28) │ 0.3206 (1.41) │ 0.3487 (17.25) │
│ qiskit (Optimization level: 3 on fake_cairo)      │ 0.09918 (4.76) │ 0.1204 (4.85)  │ 0.111 (5.07)   │ 62 (1.19) │ 140 (1.30) │ 0.3008 (1.32) │ 0.384 (18.99)  │
└───────────────────────────────────────────────────┴────────────────┴────────────────┴────────────────┴───────────┴────────────┴───────────────┴────────────────┘

                                                                 TLDR
┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┓
┃ Name                                              ┃ Mean          ┃               ┃               ┃               ┃                ┃
┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━┩
│ qiskit (Optimization level: 0 on fake_brooklyn)   │ 1 (1.12)      │ 1 (1.20)      │ 1 (1.23)      │ 1 (1.49)      │ 1 (16.82)      │
│ qiskit (Optimization level: 0 on fake_cairo)      │ 1.236 (1.38)  │ 1.446 (1.74)  │ 1.311 (1.62)  │ 1.457 (2.17)  │ 0.8275 (13.92) │
│ qiskit (Optimization level: 0 on fake_guadalupe)  │ 13.25 (14.83) │ 1.446 (1.74)  │ 1.311 (1.62)  │ 1.457 (2.17)  │ 0.6477 (10.89) │
│ qiskit (Optimization level: 0 on fake_melbourne)  │ 3.553 (3.98)  │ 1.526 (1.83)  │ 1.473 (1.82)  │ 0.6703 (1.0)  │ 0.2306 (3.88)  │
│ qiskit (Optimization level: 0 on fake_montreal)   │ 2.186 (2.45)  │ 1.446 (1.74)  │ 1.311 (1.62)  │ 1.457 (2.17)  │ 0.7579 (12.75) │
│ qiskit (Optimization level: 0 on fake_rochester)  │ 7.761 (8.68)  │ 1.294 (1.55)  │ 1.189 (1.47)  │ 1.717 (2.56)  │ 0.07238 (1.22) │
│ qiskit (Optimization level: 0 on fake_toronto)    │ 1.869 (2.09)  │ 1.446 (1.74)  │ 1.311 (1.62)  │ 1.457 (2.17)  │ 0.05946 (1.0)  │
│ qiskit (Optimization level: 0 on fake_washington) │ 0.8937 (1.0)  │ 1 (1.20)      │ 1 (1.23)      │ 1 (1.49)      │ 0.57 (9.59)    │
│ qiskit (Optimization level: 1 on fake_brooklyn)   │ 2.463 (2.76)  │ 0.996 (1.20)  │ 0.9906 (1.22) │ 1.01 (1.51)   │ 1 (16.82)      │
│ qiskit (Optimization level: 1 on fake_cairo)      │ 2.6 (2.91)    │ 0.996 (1.20)  │ 0.9906 (1.22) │ 1.01 (1.51)   │ 1.798 (30.24)  │
│ qiskit (Optimization level: 1 on fake_guadalupe)  │ 2.863 (3.20)  │ 0.996 (1.20)  │ 0.9906 (1.22) │ 1.01 (1.51)   │ 1.426 (23.98)  │
│ qiskit (Optimization level: 1 on fake_melbourne)  │ 2.164 (2.42)  │ 0.9841 (1.18) │ 0.9152 (1.13) │ 1.098 (1.64)  │ 0.2306 (3.88)  │
│ qiskit (Optimization level: 1 on fake_montreal)   │ 1.845 (2.06)  │ 0.996 (1.20)  │ 0.9906 (1.22) │ 1.01 (1.51)   │ 1.624 (27.31)  │
│ qiskit (Optimization level: 1 on fake_rochester)  │ 4.521 (5.06)  │ 0.8844 (1.06) │ 0.8279 (1.02) │ 1.22 (1.82)   │ 0.2647 (4.45)  │
│ qiskit (Optimization level: 1 on fake_toronto)    │ 2.875 (3.22)  │ 0.996 (1.20)  │ 0.9906 (1.22) │ 1.01 (1.51)   │ 0.2638 (4.44)  │
│ qiskit (Optimization level: 1 on fake_washington) │ 2.498 (2.80)  │ 0.996 (1.20)  │ 0.9906 (1.22) │ 1.01 (1.51)   │ 0.57 (9.59)    │
│ qiskit (Optimization level: 2 on fake_brooklyn)   │ 3.897 (4.36)  │ 0.9879 (1.19) │ 0.9796 (1.21) │ 1.022 (1.52)  │ 1.444 (24.29)  │
│ qiskit (Optimization level: 2 on fake_cairo)      │ 2.191 (2.45)  │ 0.9879 (1.19) │ 0.9796 (1.21) │ 1.022 (1.52)  │ 1.798 (30.24)  │
│ qiskit (Optimization level: 2 on fake_guadalupe)  │ 1.691 (1.89)  │ 0.9879 (1.19) │ 0.9796 (1.21) │ 1.022 (1.52)  │ 1.426 (23.98)  │
│ qiskit (Optimization level: 2 on fake_melbourne)  │ 5.118 (5.73)  │ 0.996 (1.20)  │ 0.937 (1.16)  │ 1.071 (1.60)  │ 0.5086 (8.55)  │
│ qiskit (Optimization level: 2 on fake_montreal)   │ 1.981 (2.22)  │ 0.9879 (1.19) │ 0.9796 (1.21) │ 1.022 (1.52)  │ 1.624 (27.31)  │
│ qiskit (Optimization level: 2 on fake_rochester)  │ 5.182 (5.80)  │ 0.8844 (1.06) │ 0.8279 (1.02) │ 1.22 (1.82)   │ 0.2647 (4.45)  │
│ qiskit (Optimization level: 2 on fake_toronto)    │ 4.695 (5.25)  │ 0.9879 (1.19) │ 0.9796 (1.21) │ 1.022 (1.52)  │ 0.2638 (4.44)  │
│ qiskit (Optimization level: 2 on fake_washington) │ 4.792 (5.36)  │ 0.9879 (1.19) │ 0.9796 (1.21) │ 1.022 (1.52)  │ 1.724 (29.00)  │
│ qiskit (Optimization level: 3 on fake_brooklyn)   │ 7.094 (7.94)  │ 0.976 (1.17)  │ 1.004 (1.24)  │ 0.9488 (1.42) │ 1.485 (24.97)  │
│ qiskit (Optimization level: 3 on fake_cairo)      │ 5.958 (6.67)  │ 0.976 (1.17)  │ 1 (1.23)      │ 0.9524 (1.42) │ 1.82 (30.61)   │
│ qiskit (Optimization level: 3 on fake_guadalupe)  │ 9.058 (10.14) │ 0.976 (1.17)  │ 1 (1.23)      │ 0.9524 (1.42) │ 1.471 (24.73)  │
│ qiskit (Optimization level: 3 on fake_melbourne)  │ 8.123 (9.09)  │ 0.9442 (1.13) │ 1.102 (1.36)  │ 0.8617 (1.29) │ 0.6433 (10.82) │
│ qiskit (Optimization level: 3 on fake_montreal)   │ 6.272 (7.02)  │ 0.976 (1.17)  │ 1 (1.23)      │ 0.9524 (1.42) │ 1.667 (28.03)  │
│ qiskit (Optimization level: 3 on fake_rochester)  │ 11.98 (13.40) │ 0.8327 (1.0)  │ 0.8099 (1.0)  │ 1.189 (1.77)  │ 0.2788 (4.69)  │
│ qiskit (Optimization level: 3 on fake_toronto)    │ 8.924 (9.99)  │ 0.976 (1.17)  │ 1 (1.23)      │ 0.9524 (1.42) │ 0.316 (5.31)   │
│ qiskit (Optimization level: 3 on fake_washington) │ 11.3 (12.64)  │ 0.976 (1.17)  │ 1.004 (1.24)  │ 0.9488 (1.42) │ 1.761 (29.62)  │
└───────────────────────────────────────────────────┴───────────────┴───────────────┴───────────────┴───────────────┴────────────────┘