Limitations in quantum metrology approaches to imaging resolution.

IF 4.3 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-12-30 Epub Date: 2024-12-24 DOI:10.1098/rsta.2023.0332
S Iqbal, Y Xu, R W Boyd
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Abstract

Can a quantum advantage for imaging resolution be realized with the help of quantum estimation theory? We expect so, but we show that, presently, theoretical tools are insufficiently developed to answer this question for extended objects. Still, there is much to be learned from the current state of the art. In this review, we re-examine prominent results in the literature and probe the limits of quantum metrology in addressing imaging resolution. In particular, we show that under restrictive but well-defined conditions, any quantum advantage in one-dimensional phase imaging appears to diminish for increasingly detailed objects. We also show that a previous attempt at tackling this question, while incomplete, does predict an advantage for single-molecule localization microscopy, although this method may not be feasible in the near term. As for experimental claims of Heisenberg-limited imaging resolution, we briefly address the many inherent difficulties in demonstrating that such a thing has indeed been achieved.This article is part of the theme issue 'The quantum theory of light'.

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量子计量成像分辨率方法的局限性。
在量子估计理论的帮助下,能否实现成像分辨率的量子优势?我们希望如此,但我们表明,目前,理论工具还不够发达,无法回答这个问题的扩展对象。尽管如此,我们仍可以从当前的技术状态中学到很多东西。在这篇综述中,我们重新审视了文献中的突出结果,并探讨了量子计量在解决成像分辨率方面的局限性。特别是,我们表明,在限制性但定义良好的条件下,一维相位成像中的任何量子优势对于越来越详细的物体似乎都会减少。我们还表明,先前解决这个问题的尝试虽然不完整,但确实预测了单分子定位显微镜的优势,尽管这种方法在短期内可能不可行。至于海森堡有限成像分辨率的实验主张,我们简要地说明了证明这样的事情确实已经实现的许多固有困难。这篇文章是主题“光的量子理论”的一部分。
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
CiteScore
9.30
自引率
2.00%
发文量
367
审稿时长
3 months
期刊介绍: Continuing its long history of influential scientific publishing, Philosophical Transactions A publishes high-quality theme issues on topics of current importance and general interest within the physical, mathematical and engineering sciences, guest-edited by leading authorities and comprising new research, reviews and opinions from prominent researchers.
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