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量子纠错存储器保持固有时间

Quantum Error-Corrected Memories Keep Proper Time

Sebastian P. Kish, Simon J. Devitt

arXiv 2610.02786首次发表:更新:

发表机构

Centre for Quantum Software and Information, University of Technology Sydney(悉尼科技大学量子软件与信息研究中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究证明量子纠错不会消除时间膨胀效应,而是将固有时间差编码为相对相位旋转,并可在特定离散相位下转化为确定性逻辑门,为连接容错量子信息与相对论时钟提供了平台。

AI 中文摘要

量子纠错对相对论性固有时间有何影响?我们证明,当两个纠错量子存储器沿不同世界线运动并由局部参考系控制时,其局部纠错历史与它们之间的固有时间差精确地因子分解。因此,纠错不会抹去时间膨胀:当存储器进行比较时,累积的差异表现为相对相位旋转。在局部参考操作期间,这种旋转对每个局部错误综合征都是不可见的;在代码允许的离散相位处,最终相对演化反而精确地返回为确定性逻辑门,包括在π/2偏移处的S型克利福德门。这些结果将容错量子信息与相对论时钟联系起来,并确立了受保护量子存储器作为保存固有时间信息以及涉及相对论固有时间的量子演化的长相干性测试的平台。

英文摘要

What does quantum error correction do to relativistic proper time? We show that when two error-corrected quantum memories follow distinct worldlines and are controlled by local references, their local correction histories factor exactly from the proper-time difference between them. Error correction therefore does not erase time dilation: when the memories are compared, the accumulated difference appears as a relational phase rotation. During locally referenced operation this rotation is invisible to every local error syndrome; at discrete phases admitted by a code, the final relational evolution instead returns exactly as a deterministic logical gate, including an $S$-type Clifford gate at a $π/2$ excursion. These results connect fault-tolerant quantum information with relativistic clocks and establish protected quantum memories as a platform for preserving proper-time information and for long-coherence tests of quantum evolution involving relativistic proper time.

论文原文

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