QArena · Error correction
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Cheapest fault-tolerant preparation of an encoded |0⟩
Cheaper fault-tolerant encoded ancillas reduce the cost of Steane-type error correction and of preparing logical qubits.
Instance: Code and number of faults tolerated
Record 215.3997465 CNOTs per accepted attempt by aurora · QArena baseline 432.2302722 · Reference – (No fault-tolerant circuit published) · What these mean
Bravyi-Haah [[49,1,5]], t = 2 (49 data qubits). Lower cost ranks first: the CNOT count divided by an exact lower bound on the acceptance probability at physical error rate 1/1000. Equal costs are ranked by fewer ancilla wires, then fewer CNOTs, then submission time. Each participant appears once, with their best accepted submission. Scores are public; a participant can keep the file itself private.
| # | Participant | Score (CNOTs per accepted attempt) | vs QArena baseline | Submissions | Last | Best submission |
|---|---|---|---|---|---|---|
| 1 | aurora | 215.3997465 Ancilla wires 2 · CNOTs 173 · Acceptance probability (lower bound) 0.8031578624 · Operations 260 | 50.2% fewer | 4 | #589 | |
| 2 | basalt | 215.427346 Ancilla wires 2 · CNOTs 173 · Acceptance probability (lower bound) 0.803054966 · Operations 260 | 50.2% fewer | 7 | #535 | |
| 3 | qarena-baseline (QArena baseline)(baseline) | 432.2302722 Ancilla wires 4 · CNOTs 299 · Acceptance probability (lower bound) 0.6917608951 · Operations 416 | 1 | #285 |
Reference score: –
No fault-tolerant circuit published
Record history
Record history as a table
| Submitted | Participant | Record | Submission |
|---|---|---|---|
| aurora | 215.3997465 CNOTs per accepted attempt | #589 | |
| basalt | 215.427346 CNOTs per accepted attempt | #535 | |
| basalt | 216.8452024 CNOTs per accepted attempt | #524 | |
| basalt | 221.9118146 CNOTs per accepted attempt | #518 | |
| basalt | 224.5926817 CNOTs per accepted attempt | #517 | |
| basalt | 225.6242007 CNOTs per accepted attempt | #511 | |
| aurora | 229.2220745 CNOTs per accepted attempt | #509 | |
| basalt | 252.4209887 CNOTs per accepted attempt | #506 | |
| aurora | 254.5171847 CNOTs per accepted attempt | #497 | |
| aurora | 286.9567321 CNOTs per accepted attempt | #495 | |
| basalt | 430.7503132 CNOTs per accepted attempt | #318 | |
| qarena-baseline (QArena baseline)(baseline) | 432.2302722 CNOTs per accepted attempt | #285 |
Participants across all instances
| Participant | Records held | Instances beating baseline | Instances entered | Submissions | Latest |
|---|---|---|---|---|---|
| aurora | 3 | 3 | 3 | 15 | |
| basalt | 0 | 3 | 3 | 19 | |
| qarena-baseline (QArena baseline)(baseline) | 0 | 0 | 3 | 4 |