Eight T states per round from the fewest noisy inputs, 7 outputs, p = 1/1000, wrong-output probability ≤ 10⁻⁶ (debug)

Submission #537

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

CNOTs per accepted attempt8.30161694
q bad2.464879522e-07
Physical qubits55
rank14

Verifier report

n
55
k
7
rank
14
stabilizers
7
A
{"num": "38b78ddf8ffc11f8cfa766f001aa3cb6ec05b2b0fec694884f09a4df360f6068f1c174959b", "den": "3beceac5b166c528b173fa53bcfa84078e23680d723c591df08bc740800000000000000000"}
A decimal
0.946459336017
q bad decimal
2.46487952174e-07
cost decimal
8.3016169403
weight3 logical errors
243
stabilizer enumerator
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 12, 0, 24, 0, 40, 0, 33, 0, 11, 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, 4, 0, 0, 0, 0, 1, 2, 9, 6, 17, 42, 73, 116, 198, 337, 532, 816, 1140, 1433, 1668, 1797, 1797, 1668, 1433, 1140, 816, 532, 337, 198, 116, 73, 42, 17, 6, 9, 2, 1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1]
s
[3, 1, 0, 3, 0, 1, 0, 2, 1, 3, 0, 3, 0, 2]
cz
[[0, 2], [0, 6], [0, 8], [0, 12], [0, 13], [1, 3], [1, 6], [1, 11], [1, 12], [2, 3], [2, 4], [2, 6], [2, 7], [2, 8], [2, 9], [2, 13], [3, 7], [3, 9], [3, 10], [3, 11], [3, 12], [3, 13], [4, 6], [4, 8], [4, 9], [4, 11], [6, 10], [6, 12], [6, 13], [7, 8], [7, 12], [7, 13], [8, 9], [8, 11], [8, 12], [8, 13], [9, 11], [11, 12]]
check
full rank 14, 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 16384 row-space words
verify cpu seconds
0.002
verify seconds
0.06
View raw report
{
 "n": 55,
 "k": 7,
 "rank": 14,
 "stabilizers": 7,
 "A": {
  "num": "38b78ddf8ffc11f8cfa766f001aa3cb6ec05b2b0fec694884f09a4df360f6068f1c174959b",
  "den": "3beceac5b166c528b173fa53bcfa84078e23680d723c591df08bc740800000000000000000"
 },
 "A_decimal": "0.946459336017",
 "q_bad_decimal": "2.46487952174e-07",
 "cost_decimal": "8.3016169403",
 "weight3_logical_errors": 243,
 "stabilizer_enumerator": [
  1,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  1,
  0,
  0,
  0,
  0,
  0,
  0,
  0,
  6,
  0,
  12,
  0,
  24,
  0,
  40,
  0,
  33,
  0,
  11,
  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,
  4,
  0,
  0,
  0,
  0,
  1,
  2,
  9,
  6,
  17,
  42,
  73,
  116,
  198,
  337,
  532,
  816,
  1140,
  1433,
  1668,
  1797,
  1797,
  1668,
  1433,
  1140,
  816,
  532,
  337,
  198,
  116,
  73,
  42,
  17,
  6,
  9,
  2,
  1,
  0,
  0,
  0,
  0,
  4,
  0,
  0,
  0,
  0,
  0,
  0,
  1
 ],
 "s": [
  3,
  1,
  0,
  3,
  0,
  1,
  0,
  2,
  1,
  3,
  0,
  3,
  0,
  2
 ],
 "cz": [
  [
   0,
   2
  ],
  [
   0,
   6
  ],
  [
   0,
   8
  ],
  [
   0,
   12
  ],
  [
   0,
   13
  ],
  [
   1,
   3
  ],
  [
   1,
   6
  ],
  [
   1,
   11
  ],
  [
   1,
   12
  ],
  [
   2,
   3
  ],
  [
   2,
   4
  ],
  [
   2,
   6
  ],
  [
   2,
   7
  ],
  [
   2,
   8
  ],
  [
   2,
   9
  ],
  [
   2,
   13
  ],
  [
   3,
   7
  ],
  [
   3,
   9
  ],
  [
   3,
   10
  ],
  [
   3,
   11
  ],
  [
   3,
   12
  ],
  [
   3,
   13
  ],
  [
   4,
   6
  ],
  [
   4,
   8
  ],
  [
   4,
   9
  ],
  [
   4,
   11
  ],
  [
   6,
   10
  ],
  [
   6,
   12
  ],
  [
   6,
   13
  ],
  [
   7,
   8
  ],
  [
   7,
   12
  ],
  [
   7,
   13
  ],
  [
   8,
   9
  ],
  [
   8,
   11
  ],
  [
   8,
   12
  ],
  [
   8,
   13
  ],
  [
   9,
   11
  ],
  [
   11,
   12
  ]
 ],
 "check": "full rank 14, 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 16384 row-space words",
 "verify_cpu_seconds": 0.002,
 "verify_seconds": 0.06
}

Submission file

Download submission JSON

sha256 d667b8e6943bbba4e2f140551ff0a42a0d08cf8a6539bafda78a0c3519a506ce · 849 bytes · verifier 7ebd454b44e2