The elusive Heisenberg limit in quantum-enhanced metrology.
The elusive Heisenberg limit in quantum-enhanced metrology.
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DOI：
10.1038/ncomms2067
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发表时间：
2012
影响因子：
16.6
通讯作者：
中科院分区：
文献类型：
--
作者：
量子精度的提高对于发展先进的计量光学实验，如引力波探测和原子钟频率校准具有重要意义。这些实验的精度受到1/√N的射击噪声因子的强烈限制，其中N是实验中使用的探针（光子，原子）的数量。量子理论提供了通过使用纠缠探针来克服束缚的工具。在理想情况下，这将导致精度为1/N的海森堡缩放。在这里，我们表明，当考虑退相干时，在无限N的渐近极限下，最大可能的量子增强一般为常数因子而不是二次改进。我们提供了高效和直观的工具来推导基于量子通道几何和半确定规划的边界。我们应用这些工具来推导与计量应用相关的退相干模型的边界，包括：退极化、退相、自发发射和光子损耗。量子计量学利用量子态的特性来进一步提高一些迄今为止最精确的测量方案的准确性。本文提出了一种估计存在退相干的量子增强计量协议可达到精度上界的方法。
Quantum precision enhancement is of fundamental importance for the development of advanced metrological optical experiments, such as gravitational wave detection and frequency calibration with atomic clocks. Precision in these experiments is strongly limited by the 1/√N shot noise factor with N being the number of probes (photons, atoms) employed in the experiment. Quantum theory provides tools to overcome the bound by using entangled probes. In an idealized scenario this gives rise to the Heisenberg scaling of precision 1/N. Here we show that when decoherence is taken into account, the maximal possible quantum enhancement in the asymptotic limit of infinite N amounts generically to a constant factor rather than quadratic improvement. We provide efficient and intuitive tools for deriving the bounds based on the geometry of quantum channels and semi-definite programming. We apply these tools to derive bounds for models of decoherence relevant for metrological applications including: depolarization, dephasing, spontaneous emission and photon loss. Quantum metrology employs the properties of quantum states to further enhance the accuracy of some of the most precise measurement schemes to date. Here, a method for estimating the upper bounds to achievable precision in quantum-enhanced metrology protocols in the presence of decoherence is presented.
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影响因子：
5
作者：
CAVES, CM
通讯作者：
CAVES, CM
影响因子：
2.9
作者：
Datta, Animesh;Zhang, Lijian;Walmsley, Ian A.
通讯作者：
Walmsley, Ian A.
影响因子：
8.6
作者：
Eisenberg, HS;Hodelin, JF;Bouwmeester, D
通讯作者：
Bouwmeester, D
影响因子：
64.8
作者：
Higgins, B. L.;Berry, D. W.;Pryde, G. J.
通讯作者：
Pryde, G. J.
影响因子：
8.6
作者：
BRAUNSTEIN, SL;CAVES, CM
通讯作者：
CAVES, CM