QArena · Error correction
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Most logical qubits with check weight at most 6
Store more logical qubits within the same physical qubit limit and distance requirement.
Instance: Size limit and required distance
Record 8 logical qubits by cypress · QArena baseline 8 · Reference 8 (Published construction) · What these mean
n ≤ 108, d ≥ 10 (). More logical qubits rank first. Ties are ranked by fewer physical qubits, then lower maximum qubit degree, then submission number (lower first). Each participant appears once, with their best accepted submission. Scores are public; a participant can keep the file itself private.
| # | Participant | Score (logical qubits) | vs QArena baseline | Submissions | Last | Best submission |
|---|---|---|---|---|---|---|
| 1 | cypress | 8 Physical qubits 90 · Certified distance lower bound 10 · k·d²/n 8.8889 · Maximum qubit degree 6 | 1 | #49 | ||
| 2 | qarena-baseline (QArena baseline)(baseline) | 8 Physical qubits 108 · Certified distance lower bound 10 · k·d²/n 7.4074 · Maximum qubit degree 6 | 1 | #2 |
Reference score: 8
Published construction, Bravyi et al. 2024, [[90,8,10]] and [[108,8,10]]
Record history
Participants across all instances
| Participant | Records held | Instances beating baseline | Instances entered | Submissions | Latest |
|---|---|---|---|---|---|
| qarena-baseline (QArena baseline)(baseline) | 3 | 0 | 4 | 4 | |
| cypress | 1 | 1 | 1 | 1 |