Biased-Noise Quantum Reed-Solomon Codes and a Tornado Concatenation for Cat Qubits
Cheng-You Ho, Daniel Wang, Simba Shi, Justin Luo, Henry Ng, et al. · 2026 · arXiv 2026
| 编号 QE201 | 主题 玻色子码 | 链接 arXiv:2607.13105 |
摘要
摘要保留原文（英文）
摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。
Dissipative cat qubits exponentially suppress one Pauli error channel with the mean photon number, leaving the conjugate bit-flip error as the dominant failure mode. This strong noise bias makes the full machinery of general quantum error correction unnecessary: a code need only protect against a single error type, and any classical linear code can be promoted to a Clifford stabilizer code that does exactly this. We use this observation to build a bit-flip-only quantum Reed-Solomon (RS) code. Starting from the maximum-distance-separable RS code [7, 3, 5] over GF(), we binary-expand it to the linear code [21, 9, 6] over GF(2) and realize it as a [[21, 9, ]] bit-flip code whose stabilizers are products of operators. Because no phase-flip correction is attempted, the construction discards the redundancy that standard quantum RS codes spend on correcting errors — which a strongly biased cat qubit renders unnecessary — and yields a shallow Clifford circuit that samples directly in Stim. Errors are decoded by an optimal bounded-distance syndrome-lookup table. We then introduce a Tornado architecture: a two-layer concatenation that wraps every position of the outer RS code in an inner distance-three repetition code, yielding a [[63, 9, 18]] code decoded by a two-stage inner majority vote and outer lookup decoder. Monte-Carlo simulation shows that at a physical bit-flip rate the Tornado code reaches a logical error rate , below both parent codes, and that its logical error rate scales as at low , in contrast to for the repetition code and for the standalone RS code. We give the exact construction, the error and circuit model, an asymptotic scaling analysis, and an honest account of the overhead cost and single-shot assumptions.
本站词条在引用该文献时，会以 wikilink（sources/QE201）链接到本页；右侧「反向链接」面板自动列出所有引用它的词条。