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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 2.5 k·d/n by basalt · QArena baseline 2 · Reference – (Debug instance) · What these mean
This is a debug instance for checking a pipeline end to end; its table is not a ranking.
4 × 4 grid, n ≤ 16 (debug instance, frontier ≤ 8). 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 | basalt | 2.5 Logical qubits 5 · Distance 8 · Physical qubits 16 · Maximum qubit degree 4 | 25.0% more | 1 | #519 | |
| 2 | cypress | 2.25 Logical qubits 6 · Distance 6 · Physical qubits 16 · Maximum qubit degree 4 | 12.5% more | 1 | #492 | |
| 3 | qarena-baseline (QArena baseline)(baseline) | 2 Logical qubits 4 · Distance 4 · Physical qubits 8 · Maximum qubit degree 3 | 1 | #375 |
Reference score: –
Debug instance
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 |