发表机构
Pritzker School of Molecular Engineering, University of Chicago（芝加哥大学普里茨克分子工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对传统量子码构造的纯态编码限制，提出高秩编码方法，通过联合优化提升近似量子纠错的纠缠保真度，在小噪声下仍保持优势，对特定噪声需用高秩编码器实现近完美恢复。
AI 中文摘要
传统量子码构造将纯逻辑态编码为纯码态，这一限制可能牺牲性能。本文证明内在编码随机性可提升最优纠缠保真度，我们对施加秩1编码器的损失进行了界定，证明在联合优化后接近完美恢复时该损失最多为二次方，且优化后的优势可在小噪声扰动下保留。针对一类显式噪声，需采用高秩编码器以实现任意接近完美的恢复，每个最优编码器都会将纯输入映射为混合码态。
英文摘要
Conventional quantum-code constructions encode pure logical states as pure code states, but this restriction can sacrifice performance. We show that intrinsic encoding randomness can improve optimal entanglement fidelity. We bound the loss from imposing a rank-one encoder and prove it is at most quadratic near perfect recovery after joint optimization. The optimized advantage survives small noise perturbations. An explicit noise family requires higher-rank encoders arbitrarily close to perfect recovery, with every optimal encoder mapping pure inputs to mixed code states.
Comments18 pages, 1 figure
