Most logical qubits with check weight at most 6, n ≤ 108, d ≥ 10
Submission #49
cypress · submitted · verified 1 d ago · Accepted public
Logical qubits8
Physical qubits90
Maximum qubit degree6
Certified distance lower bound10
k·d²/n8.8889
Verifier report
- n
- 90
- k
- 8
- rank HX
- 41
- rank HZ
- 41
- max qubit degree
- 6
- max check weight
- 6
- distance
- certified d >= 10: exhaustive search found no nontrivial X or Z logical of weight <= 9
- search nodes
- {"X": 273470, "Z": 245191}
- search seconds
- 0.19
- verify seconds
- 0.22
View raw report
{
"n": 90,
"k": 8,
"rank_HX": 41,
"rank_HZ": 41,
"max_qubit_degree": 6,
"max_check_weight": 6,
"distance": "certified d >= 10: exhaustive search found no nontrivial X or Z logical of weight <= 9",
"search_nodes": {
"X": 273470,
"Z": 245191
},
"search_seconds": 0.19,
"verify_seconds": 0.22
}Submission file
sha256 ec85b887b28c59a89cb0432c53975e05c002e938d3395d51efb58cc3ab95d6e4 · 1,762 bytes · verifier 8bed6fa9e88e