Beyond the Quantum Cramér-Rao Bound

IF 8.1 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
J. R. Hervas, A. Z. Goldberg, A. S. Sanz, Z. Hradil, J. Řeháček, L. L. Sánchez-Soto
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引用次数: 0

Abstract

The quantum Cramér-Rao bound (QCRB) stands as a cornerstone of quantum metrology. Yet, akin to its classical counterpart, it provides only local information and overlooks higher-order details. We leverage the theory of higher-order asymptotics to circumvent these issues, providing corrections to the performance of estimators beyond the QCRB. While the QCRB often yields a whole family of optimal states and several optimal measurements, our approach allows us to identify optimal states and measurements within the family that are otherwise equivalent according to the QCRB alone; these are requisite for optimal metrology before reaching the asymptotic limit. These results are especially pertinent when dealing with unitary processes. Published by the American Physical Society 2025
超越量子cramsamr - rao边界
量子cram - rao界(QCRB)是量子计量学的基石。然而,与经典版本类似,它只提供局部信息,而忽略了更高层次的细节。我们利用高阶渐近理论来规避这些问题,为超出QCRB的估计器的性能提供修正。虽然QCRB通常会产生整个最佳状态族和几个最佳测量值,但我们的方法允许我们识别家族中的最佳状态和测量值,否则仅根据QCRB是等效的;在达到渐近极限之前,这些是最佳计量所必需的。这些结果在处理单一过程时尤其适用。2025年由美国物理学会出版
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Physical review letters
Physical review letters 物理-物理:综合
CiteScore
16.50
自引率
7.00%
发文量
2673
审稿时长
2.2 months
期刊介绍: Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks
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