AI 中文总结
该研究针对量子中国剩余时钟，提供最优初始态与海森堡极限量子测量，提出容错后处理协议，可在余数有误差时正确重构时间，拓展量子时钟量程。
AI 中文摘要
中国剩余定理在计量学中用于扩展量子时钟、雷达、干涉测量的量程，其中信号相位相对于一组不同周期的振荡器是已知的。本文研究量子力学中国剩余时钟的性能，该时钟由具有两两互素周期的原子/振荡器组成。我们提供测量至周期乘积的最优初始态及最优海森堡极限量子测量，还提出一种新型容错后处理协议，即使余数存在误差也能重构正确时间。
英文摘要
The Chinese remainder theorem is used in metrology for extending the range of quantum clocks/radar/interferometry, where the phase of a signal is known relative to a set of oscillators with different periods. This paper investigates the performance of a quantum-mechanical Chinese remainder clock, consisting of atoms/oscillators with pairwise coprime periods. We provide the optimal initial state and the optimal Heisenberg-limited quantum measurements for measuring time up to the product of the periods. We introduce a novel fault-tolerant post-processing protocol that allows reconstruction of the correct time even in the presence of errors in the remainders.
Comments4 pages, 2 figures
