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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

The field of quantum metrology seeks to apply quantum techniques and/or resources to classical sensing approaches with the goal of enhancing the precision in the estimation of a parameter beyond what can be achieved with classical…

In recent times, distributed sensing has been extensively studied using squeezed states. While this is an excellent development, it is desirable to investigate the use of other quantum probes, such as entangled states of light. In this…

量子物理 · 物理学 2025-01-14 Jiaxuan Wang , Girish Agarwal

We find a large class of pure and mixed input states with which the phase estimation precision saturates the Cramer-Rao bound under the compound measurements of parity and particle number. We further propose a quantum-phase-estimation…

量子物理 · 物理学 2019-04-23 Haijun Xing , Libin Fu , Su Yi

For the optical testing of a large mirror with a long radius of curvature, it is generally necessary to use a single-shot phase-shifting interferometer to take several measurements because the influence of air turbulence on air…

图像与视频处理 · 电气工程与系统科学 2020-05-26 Ohgan Kim , Bong Ju Lee , Yun-Woo Lee , Ho-Soon Yang

Phase transitions represent a compelling tool for classical and quantum sensing applications. It has been demonstrated that quantum sensors can in principle saturate the Heisenberg scaling, the ultimate precision bound allowed by quantum…

量子物理 · 物理学 2024-01-31 Louis Garbe , Obinna Abah , Simone Felicetti , Ricardo Puebla

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

Quantum phase estimation based on Gaussian states plays a crucial role in many application fields. In this paper, we study the precision bound for the scheme using two-mode squeezed Gaussian states. The quantum Fisher information is…

量子物理 · 物理学 2024-11-27 Jian-Dong Zhang , Chuang Li , Lili Hou , Shuai Wang

With high sensitivity imaging arrays, accurate calibration is essential to achieve the limits of detection of space observatories. One can simultaneously extract information about the scene being observed and the calibration properties of…

天体物理学 · 物理学 2009-10-31 Richard G. Arendt , D. J. Fixsen , S. Harvey Moseley

Assessing the quality of parameter estimates for models describing the motion of single molecules in cellular environments is an important problem in fluorescence microscopy. We consider the fundamental data model, where molecules emit…

定量方法 · 定量生物学 2021-09-15 A. Marie d'Avigneau , S. S. Singh , R. J. Ober

The Planet Hunting and Asteroseismology Explorer Spectrophotometer, PHASES, is a concept for a space-borne instrument to obtain flux calibrated spectra and measure micro-magnitude photometric variations of nearby stars. The science drivers…

天体物理仪器与方法 · 物理学 2010-01-13 Carlos del Burgo , Carlos Allende Prieto , Tully Peacocke

A wideband phase comparator for precise measurements of phase difference of high current shunts has been developed at INRIM. The two-input digital phase detector is realized with a precision wideband digitizer connected through a pair of…

仪器与探测器 · 物理学 2015-05-30 Umberto Pogliano , Bruno Trinchera , Danilo Serazio

Critical metrology relies on the precise preparation of a system in its ground state near a quantum phase transition point where quantum correlations get very strong. Typically this increases the quantum Fisher information with respect to…

量子物理 · 物理学 2024-02-12 Christoph Hotter , Helmut Ritsch , Karol Gietka

Recent works identified resolution limits for the distance between incoherent point sources. However, it remains unclear how to choose suitable observables and estimators to reach these limits in practical situations. Here, we show how…

量子物理 · 物理学 2021-09-22 Giacomo Sorelli , Manuel Gessner , Mattia Walschaers , Nicolas Treps

We establish the multiparameter quantum Cram\'er-Rao bound for simultaneously estimating the centroid, the separation, and the relative intensities of two incoherent optical point sources using alinear imaging system. For equally bright…

量子物理 · 物理学 2017-12-13 J. Rehacek , Z. Hradil , B. Stoklasa , M. Paur , J. Grover , A. Krzic , L. L. Sanchez-Soto

Being complex-valued and low in signal-to-noise ratios, magnitude-based diffusion MRI is confounded by the noise-floor that falsely elevates signal magnitude and incurs bias to the commonly used diffusion indices, such as fractional…

计算机视觉与模式识别 · 计算机科学 2021-06-15 Liu Feihong , Yang Junwei , He Xiaowei , Zhou Luping , Feng Jun , Shen Dinggang

We design a system-level architecture for approaching the shot noise limit for passive triangulation of a quasi-monochromatic point source. Our emphasis is not in the novelty of the basic physics, but that existing systems lose fundamental…

光学 · 物理学 2026-05-07 John C. Howell , Andrew N. Jordan

The presence of loss limits the precision of an approach to phase measurement using maximally entangled states, also referred to as NOON states. A calculation using a simple beam-splitter model of loss shows that, for all nonzero values L…

量子物理 · 物理学 2009-11-13 Mark A. Rubin , Sumanth Kaushik

We calculate the quantum Cram\'er--Rao bound for the sensitivity with which one or several parameters, encoded in a general single-mode Gaussian state, can be estimated. This includes in particular the interesting case of mixed Gaussian…

量子物理 · 物理学 2017-02-08 Olivier Pinel , Pu Jian , Claude Fabre , Nicolas Treps , Daniel Braun

We calculate the quantum Cram\'er--Rao bound for the sensitivity with which one or several parameters, encoded in a general single-mode Gaussian state, can be estimated. This includes in particular the interesting case of mixed Gaussian…

量子物理 · 物理学 2015-06-16 O. Pinel , P. Jian , N. Treps , C. Fabre , and D. Braun