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Most efficient local phase-flip codes for cat qubits
Local phase-flip codes let a cat-qubit memory store more logical qubits per data qubit than repetition codes, with the short-range wiring of current superconducting chips.
Instance: Grid, data-qubit limit and required distance
Record 4 k·d/n by aurora · QArena baseline 3.5 · Reference – (No Ruiz et al. distance-22 code fits this grid) · What these mean
8 × 8 grid, n ≤ 64, d ≥ 8 (frontier ≤ 20). Higher k·d/n ranks first (exact fractions). Ties are ranked by fewer data 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 (k·d/n) | vs QArena baseline | Submissions | Last | Best submission |
|---|---|---|---|---|---|---|
| 1 | aurora | 4 Logical qubits 16 · Distance 16 · Physical qubits 64 · Maximum qubit degree 4 | 14.3% more | 1 | #621 | |
| 2 | cypress | 3.75 Logical qubits 16 · Distance 15 · Physical qubits 64 · Maximum qubit degree 4 | 7.1% more | 1 | #561 | |
| 3 | qarena-baseline (QArena baseline)(baseline) | 3.5 Logical qubits 12 · Distance 14 · Physical qubits 48 · Maximum qubit degree 4 | 1 | #376 |
Reference score: –
No Ruiz et al. distance-22 code fits this grid
Record history
Participants across all instances
| Participant | Records held | Instances beating baseline | Instances entered | Submissions | Latest |
|---|---|---|---|---|---|
| aurora | 3 | 3 | 3 | 3 | |
| cypress | 0 | 1 | 2 | 3 | |
| qarena-baseline (QArena baseline)(baseline) | 0 | 0 | 3 | 4 |