随机相移估计的Heisenberg极限的普适性
Universality of the Heisenberg limit for estimates of random phase shifts
摘要：
海森伯极限传统上提供了相位不确定性标度的下限为1/<N>，其中<N>是探针中光子的平均数。然而，该限制具有许多可能被利用的漏洞，以实现更高精度的测量。在这里，我们关闭这些漏洞，证明了一个完全严格的形式海森堡极限的平均误差超过所有相移。我们的结果给出了海森堡极限的第一个完全一般的、无约束的和非渐近的陈述。它适用于所有相位估计方案，包括多次通过、非线性相移、多模式探测和任意测量。
英文摘要：
The Heisenberg limit traditionally provides a lower bound on the phase uncertainty scaling as 1/<N>, where <N> is the mean number of photons in the probe. However, this limit has a number of loopholes which potentially might be exploited, to achieve measurements with even greater accuracy. Here we close these loopholes by proving a completely rigorous form of the Heisenberg limit for the average error over all phase shifts. Our result gives the first completely general, constraint-free and non-asymptotic statement of the Heisenberg limit. It holds for all phase estimation schemes, including multiple passes, nonlinear phase shifts, multimode probes, and arbitrary measurements.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
