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We show under what conditions an accelerated detector (e.g., an atom/ion/molecule) thermalizes while interacting with the vacuum state of a quantum field in a setup where the detector's acceleration alternates sign across multiple optical…

量子物理 · 物理学 2021-11-09 Silas Vriend , Daniel Grimmer , Eduardo Martín-Martínez

Fisher Information is a key notion in the whole field of quantum metrology. It allows for a direct quantification of maximal achievable precision of estimation of parameters encoded in quantum states using the most general quantum…

量子物理 · 物理学 2023-04-25 Stanislaw Kurdzialek , Rafal Demkowicz-Dobrzanski

We derive a new variational principle for the quantum Fisher information leading to a simple iterative alternating algorithm, the convergence of which is proved. The case of a fixed measurement, i.e. the classical Fisher information, is…

量子物理 · 物理学 2013-12-06 Katarzyna Macieszczak

With the help of the coherent states' basis we establish an interesting connection among i) the so-called Wehrl entropy, ii) Fisher's information measure $I$, and iii) the canonical ensemble entropy for the one-dimensional quantum harmonic…

统计力学 · 物理学 2009-11-10 F. Pennini , A. Plastino

A uniformly accelerated atom in an inertial vacuum generally thermalizes and reaches a Gibbs state. This phenomenon is commonly known as the Unruh effect. Here, we show that the situation is entirely different for the many-atoms problem. In…

量子物理 · 物理学 2025-09-09 Saptarshi Saha , Chiranjeeb Singha , Pragna Das , Arpan Chatterjee

It was suggested by Unruh that a uniformly accelerated detector in vacuum would perceive a noise with a thermal distribution. We obtain a representation of solutions of the wave equation in two dimensions suitable for the Rindler regions.…

高能物理 - 理论 · 物理学 2013-02-28 I. Ya. Aref'eva , I. V. Volovich

Using the single-mode approximation, we first calculate entanglement measures such as negativity ($1-3$ and $1-1$ tangles) and von Neumann entropy for a tetrapartite W-Class system in noninertial frame and then analyze the whole…

量子物理 · 物理学 2019-11-11 Qian Dong , Ariadna J. Torres-Arenas , Guo-Hua Sun , Shi-Hai Dong

Whenever an experiment can be described classically, quantum physics must predict the same outcome. Intuitively, there is nothing quantum about an accelerating observer travelling through a vacuum. It is therefore not surprising that many…

量子物理 · 物理学 2026-03-24 Sara Kanzi , Daniel Hodgson , Almut Beige

We formulate a quantum arrival time measurement process for a Bosonic many-particle system, with the aim of extracting statistical information on single-particle properties. The arrival time is based on a dynamical multi-particle absorption…

量子物理 · 物理学 2025-05-28 Jukka Kiukas , Andreas Ruschhaupt

Fisher information, lies at the heart of parameter estimation theory, was recently found to have a close relation with multipartite entanglement (Pezz\'{e} and Smerzi, Phys. Rev. Lett. 102, 100401). We use Fisher information to distinguish…

量子物理 · 物理学 2009-05-05 Jian Ma , Xiaoguang Wang

Natural selection is general and powerful concept not only to explain evolutionary processes of biological organisms but also to design engineering systems such as genetic algorithms and particle filters. There is a surge of interest, both…

种群与进化 · 定量生物学 2021-06-09 So Nakashima , Tetsuya J. Kobayashi

In many statistical applications that concern mathematical psychologists, the concept of Fisher information plays an important role. In this tutorial we clarify the concept of Fisher information as it manifests itself across three different…

An Edgeworth-type expansion is established for the relative Fisher information distance to the class of normal distributions of sums of i.i.d. random variables, satisfying moment conditions. The validity of the central limit theorem is…

概率论 · 数学 2012-05-01 S. G. Bobkov , G. P. Chistyakov , F. Götze

The Unruh effect predicts an astonishing phenomenon that an accelerated detector would detect counts despite being in a quantum field vacuum in the rest frame. Since the required detector acceleration for its direct observation is…

量子物理 · 物理学 2025-10-29 Xu Cheng , Yue Li , Zehua Tian , Xingyu Zhao , Xi Qin , Yiheng Lin

This study presents the Fisher information for the position-dependent mass Schr\"odinger equation with hyperbolical potential {$V(x)=-V_0{\rm csch}^2(ax)$}. The analysis of the quantum-mechanical probability for the ground and exited states…

量子物理 · 物理学 2015-09-30 B. J. Falaye , F. A. Serrano , Shi-Hai Dong

In quantum metrology, the parameter estimation accuracy is bounded by quantum Fisher information. In this paper, we present coherence measures in terms of (quantum) Fisher information by directly considering the post-selective non-unitary…

量子物理 · 物理学 2023-07-06 Deng-hui Yu , Chang-shui Yu

A new information-theoretic approach to the central limit theorem for stable laws is presented. The main novelty is the concept of relative fractional Fisher information, which shares most of the properties of the classical one, included…

信息论 · 计算机科学 2015-04-28 Giuseppe Toscani

In this paper, we analyze the impact of compressed sensing with complex random matrices on Fisher information and the Cram\'{e}r-Rao Bound (CRB) for estimating unknown parameters in the mean value function of a complex multivariate normal…

We study the problem of parameter estimation in time series stemming from general stochastic processes, where the outcomes may exhibit arbitrary temporal correlations. In particular, we address the question of how much Fisher information is…

统计力学 · 物理学 2023-09-06 Joseph A. Smiga , Marco Radaelli , Felix C. Binder , Gabriel T. Landi

The quantum Fisher information matrix is a central object in multiparameter quantum estimation theory. It is usually challenging to obtain analytical expressions for it because most calculation methods rely on the diagonalization of the…

量子物理 · 物理学 2021-05-07 Lukas J. Fiderer , Tommaso Tufarelli , Samanta Piano , Gerardo Adesso
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