量子干涉测量精度标度律与最佳态的分岔景观
Scaling laws for precision in quantum interferometry and bifurcation landscape of optimal state
摘要:
在大光子数$N\gg 1$的限制下,研究了最佳双通道量子干涉术中的相位精度,其中一个或两个通道都有损耗。对于一个通道中的损耗,随着损耗或光子数的增加,最佳状态经历了一系列有趣的局部分叉。我们进一步表明,固定的损失paramater确定量子精密测量的尺度-一个交叉值的光子数$N_c$超过超经典的精度逐渐丢失。对于大的损失,最佳状态也有一个不同的结构,从以前考虑的。
英文摘要:
Phase precision in optimal 2-channel quantum interferometry is studied in the limit of large photon number $N\gg 1$, for losses occurring in either one or both channels. For losses in one channel an optimal state undergoes an intriguing sequence of local bifurcations as the losses or the number of photons increase. We further show that fixing the loss paramater determines a scale for quantum metrology -- a crossover value of the photon number $N_c$ beyond which the supra-classical precision is progressively lost. For large losses the optimal state also has a different structure from those considered previously.
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