Eight T states per round from the fewest noisy inputs, 8 outputs, p = 1/1000, wrong-output probability ≤ 10⁻⁶

Submission #539

qarena-baseline · submitted · verified 9 h ago · Accepted public

CNOTs per accepted attempt7.403389531
q bad2.275568852e-07
Physical qubits56
rank15

Verifier report

n
56
k
8
rank
15
stabilizers
7
A
{"num": "b5501c2661af9e8c7b6c1321a33ef55466835ea187d7faba961cb8a0c61f346048242eb87", "den": "bfc2ef456ae276e89e3fedd8c321a67e93a4802b0727839301bf4a6800000000000000000"}
A decimal
0.945512858714
q bad decimal
2.27556885151e-07
cost decimal
7.4033895314
weight3 logical errors
224
stabilizer enumerator
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 64, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
row space enumerator
[1, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 28, 168, 420, 680, 868, 1512, 2303, 2576, 2660, 3248, 3768, 3248, 2660, 2576, 2303, 1512, 868, 680, 420, 168, 28, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 1]
s
[1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2]
cz
[[8, 9], [8, 12], [9, 10], [9, 11], [9, 12], [9, 13], [9, 14], [10, 12], [10, 13], [11, 13], [11, 14], [12, 13], [12, 14], [13, 14]]
check
full rank 15, row parities, all pair and triple overlaps even, d_Z >= 3 (all weight-1 and weight-2 errors), exact A and q_bad from the weight enumerators of the 128 stabilizer words and 32768 row-space words
verify cpu seconds
0.002
verify seconds
0.03
View raw report
{
 "n": 56,
 "k": 8,
 "rank": 15,
 "stabilizers": 7,
 "A": {
  "num": "b5501c2661af9e8c7b6c1321a33ef55466835ea187d7faba961cb8a0c61f346048242eb87",
  "den": "bfc2ef456ae276e89e3fedd8c321a67e93a4802b0727839301bf4a6800000000000000000"
 },
 "A_decimal": "0.945512858714",
 "q_bad_decimal": "2.27556885151e-07",
 "cost_decimal": "7.4033895314",
 "weight3_logical_errors": 224,
 "stabilizer_enumerator": [
  1,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  28,
  0,
  0,
  0,
  64,
  0,
  0,
  0,
  35,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0
 ],
 "row_space_enumerator": [
  1,
  0,
  0,
  0,
  0,
  0,
  0,
  8,
  0,
  0,
  0,
  0,
  0,
  0,
  28,
  0,
  0,
  0,
  28,
  168,
  420,
  680,
  868,
  1512,
  2303,
  2576,
  2660,
  3248,
  3768,
  3248,
  2660,
  2576,
  2303,
  1512,
  868,
  680,
  420,
  168,
  28,
  0,
  0,
  0,
  28,
  0,
  0,
  0,
  0,
  0,
  0,
  8,
  0,
  0,
  0,
  0,
  0,
  0,
  1
 ],
 "s": [
  1,
  1,
  1,
  1,
  1,
  1,
  1,
  1,
  0,
  0,
  0,
  2,
  2,
  2,
  2
 ],
 "cz": [
  [
   8,
   9
  ],
  [
   8,
   12
  ],
  [
   9,
   10
  ],
  [
   9,
   11
  ],
  [
   9,
   12
  ],
  [
   9,
   13
  ],
  [
   9,
   14
  ],
  [
   10,
   12
  ],
  [
   10,
   13
  ],
  [
   11,
   13
  ],
  [
   11,
   14
  ],
  [
   12,
   13
  ],
  [
   12,
   14
  ],
  [
   13,
   14
  ]
 ],
 "check": "full rank 15, row parities, all pair and triple overlaps even, d_Z >= 3 (all weight-1 and weight-2 errors), exact A and q_bad from the weight enumerators of the 128 stabilizer words and 32768 row-space words",
 "verify_cpu_seconds": 0.002,
 "verify_seconds": 0.03
}

Submission file

Download submission JSON

sha256 77c80f49efd0197917491edb728dd0203474d1939ee14d3fefac44b21441cbae · 922 bytes · verifier 7ebd454b44e2