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arXiv 1801.07071quant-ph
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量子精密测量的信息论分析

Information Theoretical Analysis of Quantum Metrology

Yi Peng, Heng Fan

摘要:

我们解决的框架分析量子精密测量的信息理论图片。首先,我们展示了如何通过在开始时对探针进行适当的状态初始化和在结束时进行量子测量来提取最大量的信息。我们的分析可以应用于单参数和多参数估计过程以及任何其他量子信息处理过程。然后,我们建立了量子精密测量的信息论图像与其传统的方差-协方差图像之间的直接联系,证明了任何估计过程在方差-协方差图像上达到海森堡极限也可以在渐近意义上达到信息论海森堡极限。作为一个直接的结果,我们认为,纠缠测量是不必要的,以实现海森堡极限的信息论图片,这是明确说明了量子经典并行策略的量子精密测量与一个可分离的测量和海森堡极限饱和的两个图片。

英文摘要:

We address the framework of analysing quantum metrology in the information-theoretic picture. Firstly we show how to extract the maximum amount of information in general via suitable state initialization of the probes at the beginning and a quantum measurement at the end. Our analysis can apply to both the single-parameter and the multi-parameter estimation procedures as well as to any other quantum information processing procedures. We then establish a direct connection between the information-theoretic picture of quantum metrology and its conventional variance-covariance picture, by showing that any estimation procedure achieves Heisenberg limit in variance-covariance picture can also reach the information-theoretic Heisenberg limit in the asymptotic sense. As a direct consequence, we argue that the entangled measurement is not necessary for achieving Heisenberg limit in the information-theoretic pictures, which is explicitly illustrated for the Quantum-Classical parallel strategy of quantum metrology with a separable measurement employed and the Heisenberg limit saturated in both pictures.

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。

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