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Quantum sensors driven into the quantum chaotic regime can have dramatically enhanced sensitivity, which, however, depends intricately on the details of the underlying classical phase space. Here, we develop an accurate semiclassical…

量子物理 · 物理学 2026-01-26 Mahdi RouhbakhshNabati , Daniel Braun , Henning Schomerus

We consider parameter estimations with probes being the boundary driven/dissipated non- equilibrium steady states of XXZ spin 1/2 chains. The parameters to be estimated are the dissipation coupling and the anisotropy of the spin-spin…

量子物理 · 物理学 2017-08-22 Ugo Marzolino , Tomaž Prosen

We prove that two well-known measures of information are interrelated in interesting and useful ways when applied to nonequilibrium circumstances. A nontrivial form of the lower bound for the Fisher information measure is derived in…

统计力学 · 物理学 2012-04-06 Takuya Yamano

In this work, we investigate the non-Markovianity, quantum Fisher information (QFI) and quantum coherence of a qubit in a nonequilibrium environment and have obtained the expressions of QFI and quantum coherence as well as their…

量子物理 · 物理学 2020-12-30 Danping Lin , Hong-Mei Zou , Jianhe Yang

This paper deals with the problem of estimating the coupling constant $\theta$ of a mixing quantum Markov chain. For a repeated measurement on the chain's output we show that the outcomes' time average has an asymptotically normal…

量子物理 · 物理学 2011-06-23 Madalin Guta

We address the fundamental limits of learning unknown parameters of any stochastic process from time-series data, and discover exact closed-form expressions for how optimal inference scales with observation length. Given a parametrized…

机器学习 · 计算机科学 2023-10-09 Paul M. Riechers

We consider an antiferromagnetic Bose-Einstein condensate in a traverse magnetic field with a fixed macroscopic magnetization. The system exhibits two different critical behaviors corresponding to transitions from polar to…

量子气体 · 物理学 2020-05-07 Safoura S. Mirkhalaf , Emilia Witkowska , Luca Lepori

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

The unavoidable interaction between a quantum system and the external noisy environment can be mimicked by a sequence of stochastic measurements whose outcomes are neglected. Here we investigate how this stochasticity is reflected in the…

量子物理 · 物理学 2018-03-30 Matthias M. Müller , Stefano Gherardini , Augusto Smerzi , Filippo Caruso

A non-isolated physical system typically loses information to its environment, and when such loss is irreversible the evolution is said to be Markovian. Non-Markovian effects are studied by monitoring how information quantifiers, such as…

量子物理 · 物理学 2025-07-15 Paolo Abiuso , Matteo Scandi , Dario De Santis , Jacopo Surace

The Cram\'er-Rao bound and the quantum Fisher information have been tools used extensively for interferometric phase sensitivity. Most scenarios considering a Mach-Zehnder interferometer with two input sources focused on the phase-matched…

量子物理 · 物理学 2019-05-08 Anca Preda , Stefan Ataman

The efficient sensing of weak environmental perturbations via special degeneracies called exceptional points in non-Hermitian systems has gained enormous traction in the last few decades. However, in contrast to the extensive literature on…

量子物理 · 物理学 2022-03-02 J. Wang , D. Mukhopadhyay , G. S. Agarwal

Quantum Fisher information (QFI) is a measure of multipartite quantum entanglement that can be obtained from inelastic neutron scattering data on quantum magnets. In this work, we demonstrate that the QFI can distinguish an unconventional…

强关联电子 · 物理学 2026-03-23 Zhengbang Zhou , Chengkang Zhou , Menghan Song , Yong Baek Kim , Zi Yang Meng

Concepts of the complex partition functions and the Fisher zeros provide intrinsic statistical mechanisms for finite temperature and real time dynamical phase transitions. We extend the utility of these complexifications to quantum phase…

强关联电子 · 物理学 2024-09-25 Yang Liu , Songtai Lv , Yang Yang , Haiyuan Zou

Braunstein and Caves (1994) proposed to use Helstrom's {\em quantum information} number to define, meaningfully, a metric on the set of all possible states of a given quantum system. They showed that the quantum information is nothing else…

量子物理 · 物理学 2009-10-31 O. E. Barndorff-Nielsen , R. D. Gill

The importance of the quantum Fisher information metric is testified by the number of applications that this has in very different fields, ranging from hypothesis testing to metrology, passing through thermodynamics. Still, from the rich…

量子物理 · 物理学 2024-04-30 Matteo Scandi , Paolo Abiuso , Jacopo Surace , Dario De Santis

We deal with the maximization of classical Fisher information in a quantum system depending on an unknown parameter. This problem has been raised by physicists, who defined [Helstrom (1967) Phys. Lett. A 25 101-102] a quantum counterpart of…

统计理论 · 数学 2007-06-13 Alessandra Luati

We derive upper bounds on the quantum Fisher information in interferometry with $N$ subsystems, e.g. two-level atoms or Gaussian modes, in the presence of arbitrarily correlated Gaussian dephasing including independent and collective…

量子物理 · 物理学 2014-03-06 Katarzyna Macieszczak

In this paper, we investigate steered quantum coherence, i.e., the $l_1$ norm of steered coherence and the relative entropy of steered coherence, and the quantum Fisher information in the Gibbs state of two-qubit $XXZ$ systems. Their…

量子物理 · 物理学 2023-12-18 Biao-Liang Ye , Yao-Kun Wang , Shao-Ming Fei

Non-equilibrium phase transitions of open quantum systems generically exhibit diverging classical but not quantum correlations. Still entanglement -- characterizing the latter correlations -- can be sensitive to the phase transition.…