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Precise estimation of physical parameters underpins both scientific discovery and technological development. A central goal of quantum metrology and sensing is to exploit quantum resources like entanglement to devise optimal strategies for…

量子物理 · 物理学 2026-03-09 Zhao-Yi Zhou , Da-Jian Zhang

With the progress of optical detection technology, the classical diffraction limit raised a hundred years ago has been continuously broken through. In previous experiments within fluorescence sources, one of the techniques used is detecting…

量子物理 · 物理学 2016-07-20 Xiao Liang , Yong-Sheng Zhang

This is a tutorial aimed at illustrating some recent developments in quantum parameter estimation beyond the Cram\`er-Rao bound, as well as their applications in quantum metrology. Our starting point is the observation that there are…

量子物理 · 物理学 2020-03-06 Luigi Seveso , Matteo G. A. Paris

The Cram\'{e}r-Rao bound plays a central role in both classical and quantum parameter estimation, but finding the observable and the resulting inversion estimator that saturates this bound remains an open issue for general multi-outcome…

量子物理 · 物理学 2019-05-01 J. Z. Wang , Z. Q. Yang , A. X. Chen , W. Yang , G. R. Jin

Multimode Gaussian quantum light, including multimode squeezed and/or multipartite quadrature entangled light, is a very general and powerful quantum resource with promising applications to quantum information processing and metrology…

量子物理 · 物理学 2010-08-05 Olivier Pinel , Julien Fade , Nicolas Treps , Claude Fabre

We present a sensing scheme for estimating the frequency difference of two non-entangled photons. The technique consists of time-resolving sampling measurements at the output of a beam splitter. With this protocol, the frequency shift…

量子物理 · 物理学 2025-12-10 Luca Maggio , Danilo Triggiani , Paolo Facchi , Vincenzo Tamma

Quantum metrology derives its capabilities from the careful employ of quantum resources for carrying out measurements. This advantage, however, relies on refined data postprocessing, assessed based on the variance of the estimated…

The power of quantum sensing rests on its ultimate precision limit, quantified by the quantum Cramer-Rao bound (QCRB), which can surpass classical bounds. In multi-parameter estimation, the QCRB is not always saturated as the quantum nature…

量子物理 · 物理学 2024-05-24 Changhao Li , Mo Chen , Paola Cappellaro

Precision measurement has been an important research area in sensing and metrology. In classical physics, the Fisher information determines the maximum extractable information from statistically unknown signals, based on a joint probability…

量子物理 · 物理学 2024-09-04 Byoung S. Ham

We investigate the ultimate precision achievable in Gaussian quantum metrology. We derive general analytical expressions for the quantum Fisher information matrix and for the measurement compatibility condition, ensuring asymptotic…

量子物理 · 物理学 2018-07-18 Rosanna Nichols , Pietro Liuzzo-Scorpo , Paul A. Knott , Gerardo Adesso

An interferometer with effectively infinite maximum optical path difference removes the dominant resolution limitation for interferometric spectroscopy. We present mass-correlated rotational Raman spectra that represent the world's highest…

光学 · 物理学 2023-04-12 Thomas Schultz , In Heo , Jong Chan Lee , Begüm Rukiye Özer

There has been much recent interest in quantum optical interferometry for applications to metrology, sub-wavelength imaging, and remote sensing, such as in quantum laser radar (LADAR). For quantum LADAR, atmospheric absorption rapidly…

量子物理 · 物理学 2015-05-13 Yang Gao , Christoph F. Wildfeuer , Petr M. Anisimov , Hwang Lee , Jonathan P. Dowling

Many results in the quantum metrology literature use the Cram\'er-Rao bound and the Fisher information to compare different quantum estimation strategies. However, there are several assumptions that go into the construction of these tools,…

量子物理 · 物理学 2018-01-31 Jesús Rubio , Paul Knott , Jacob Dunningham

We discuss advantages of using non-classical states of light for two aspects of optical imaging: creating of miniature images on photosensitive substrates, which constitutes the foundation for optical lithography, and imaging of micro…

量子物理 · 物理学 2009-11-07 Dmitry Strekalov , Jonathan Dowling

A recent paper [Z. Yu and S. Prasad, "Quantum limited superresolution of an incoherent source pair in three dimensions," arXiv:1805.09227v2 [quant-ph] (2018)] considered the problem of quantum limited estimation of the separation vector for…

量子物理 · 物理学 2019-02-27 Sudhakar Prasad , Zhixian Yu

The quantum Cram\'er-Rao (QCR) bound sets the ultimate local precision limit for unbiased multiparameter estimation. Yet, unlike in the single-parameter case, its saturability is not generally guaranteed and is often assessed through…

量子物理 · 物理学 2026-02-13 Satoya Imai , Jing Yang , Luca Pezzè

We generalize the approach by Braunstein and Caves [Phys. Rev. Lett. 72, 3439 (1994)] to quantum multi-parameter estimation with general states. We derive a matrix bound of the classical Fisher information matrix due to each measurement…

量子物理 · 物理学 2019-09-10 Jing Yang , Shengshi Pang , Yiyu Zhou , Andrew N. Jordan

We present a new proof of the quantum Cramer-Rao bound for precision parameter estimation [1-3] and extend it to a more general class of measurement procedures. We analyze a generalized framework for parameter estimation that covers most…

量子物理 · 物理学 2010-01-28 Garry Goldstein , Mikhail D. Lukin , Paola Cappellaro

Conventional incoherent imaging based on measuring the spatial intensity distribution in the image plane faces the resolution hurdle described by the Rayleigh diffraction criterion. Here, we demonstrate theoretically using the concept of…

Sub-diffraction-limit resolution, or super-resolution, had been successfully demonstrated by recent theoretical and experimental studies for two-point sources with ideal equal-brightness and strict incoherenceness. Unfortunately, practical…

量子物理 · 物理学 2022-12-14 Abdelali Sajia , X. -F. Qian