量子估算返回的比特数

IF 2.9 2区物理与天体物理 Q2 Physics and Astronomy

Physical Review A Pub Date : 2024-09-05 DOI:10.1103/physreva.110.032405

Xi Lu, Wojciech Górecki, Chiara Macchiavello, Lorenzo Maccone

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引用次数: 0

摘要

我们给出了任意量子估计策略中互信息的两个上限。第一个上限基于估计装置的一些简单傅里叶特性。第二个上界是利用第一个上界推导出来的，但有趣的是，它只取决于参数的费雪信息，因此即使在量子估计之外也是有效的。我们通过描述存在噪声时的量子相位估计算法，来说明这些约束的实用性。此外，对于无噪声情况，我们将分析扩展到了应用边界之外，并讨论了最优纠缠策略和自适应策略，澄清了文献中出现的有关这一主题的不准确之处。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Number of bits returned by a quantum estimation

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Number of bits returned by a quantum estimation

We give two upper bounds to the mutual information in arbitrary quantum estimation strategies. The first is based on some simple Fourier properties of the estimation apparatus. The second is derived using the first, but, interestingly, depends only on the Fisher information of the parameter, so it is valid even beyond quantum estimation. We illustrate the usefulness of these bounds by characterizing the quantum phase estimation algorithm in the presence of noise. In addition, for the noiseless case, we extend the analysis beyond applying the bound and we discuss the optimal entangled and adaptive strategies, clarifying inaccuracies appearing on this topic in the literature.

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来源期刊

Physical Review A 物理-光学

CiteScore

5.40

自引率

24.10%

发文量

审稿时长

2.2 months

期刊介绍： Physical Review A (PRA) publishes important developments in the rapidly evolving areas of atomic, molecular, and optical (AMO) physics, quantum information, and related fundamental concepts. PRA covers atomic, molecular, and optical physics, foundations of quantum mechanics, and quantum information, including: -Fundamental concepts -Quantum information -Atomic and molecular structure and dynamics; high-precision measurement -Atomic and molecular collisions and interactions -Atomic and molecular processes in external fields, including interactions with strong fields and short pulses -Matter waves and collective properties of cold atoms and molecules -Quantum optics, physics of lasers, nonlinear optics, and classical optics