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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

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 introduce a positive Hermitian operator, the Fisher operator, and use it to examine a measurement process incorporating unitary dynamics and complete measurements. We develop the idea of information complement, the minimization of which…

量子物理 · 物理学 2009-02-20 Gabriel A. Durkin

We calculate quantum and classical Fisher informations for gravity sensors based on matterwave interference, and find that current Mach-Zehnder interferometry is not optimally extracting the full metrological potential of these sensors. We…

量子物理 · 物理学 2018-08-29 Michail Kritsotakis , Stuart S. Szigeti , Jacob A. Dunningham , Simon A. Haine

Quantum Fisher information, as an intrinsic quantity for quantum states, is a central concept in quantum detection and estimation. When quantum measurements are performed on quantum states, classical probability distributions arise, which…

量子物理 · 物理学 2012-09-04 Xiao-Ming Lu , Shunlong Luo , C. H. Oh

The recent advent of noisy intermediate-scale quantum devices, especially near-term quantum computers, has sparked extensive research efforts concerned with their possible applications. At the forefront of the considered approaches are…

量子物理 · 物理学 2021-09-15 Johannes Jakob Meyer

Quantum Fisher information characterizes the phase sensitivity of qubits in the spin-boson model with a finite bandwidth spectrum. In contrast with Markovian reservoirs, the quantum Fisher information will flow from the environments to…

量子物理 · 物理学 2015-06-18 Xiang Hao , Ninghua Tong , Shiqun Zhu

Quantum synchronization has emerged as a crucial phenomenon in quantum nonlinear dynamics with potential applications in quantum information processing. Multiple measures for quantifying quantum synchronization exist. However, there is…

量子物理 · 物理学 2023-08-02 Yuan Shen , Hong Yi Soh , Leong-Chuan Kwek , Weijun Fan

We develop a new framework to optimize and understand uncertainty from in situ strong field measurements of laser field parameters. We present the first derivation of quantum and classical Fisher information for an electron undergoing…

量子物理 · 物理学 2021-08-06 A. S. Maxwell , A. Serafini , S. Bose , C. Figueira de Morisson Faria

In this contribution, quantum Fisher information is utilized to estimate the parameters of a central qubit interacting with a single-spin qubit. The effect of the longitudinal, transverse and the rotating strengths of the magnetic field on…

量子物理 · 物理学 2018-04-04 N. Metwally

Variance and Fisher information are ingredients of the Cramer-Rao inequality. We regard Fisher information as a Riemannian metric on a quantum statistical manifold and choose monotonicity under coarse graining as the fundamental property of…

量子物理 · 物理学 2009-11-07 Denes Petz

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

The subject of this paper is a mathematical transition from the Fisher information of classical statistics to the matrix formalism of quantum theory. If the monotonicity is the main requirement, then there are several quantum versions…

量子物理 · 物理学 2017-08-23 Denes Petz , Catalin Ghinea

The quantum Fisher information (QFI) is a fundamental quantity of interest in many areas from quantum metrology to quantum information theory. It can in particular be used as a witness to establish the degree of multi-particle entanglement…

量子物理 · 物理学 2023-01-26 Aniket Rath , Cyril Branciard , Anna Minguzzi , Benoît Vermersch

Quantum systems used for metrology can offer enhanced precision over their classical counterparts. The design of quantum sensors can be optimized by maximizing the quantum Fisher information (QFI), which characterizes the precision of…

量子物理 · 物理学 2025-08-26 George Mihailescu , Anthony Kiely , Andrew K. Mitchell

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 advancements have revealed new links between information geometry and classical stochastic thermodynamics, particularly through the Fisher information (FI) with respect to time. Recognizing the non-uniqueness of the quantum Fisher…

量子物理 · 物理学 2025-10-07 Laetitia P. Bettmann , John Goold

Noise affects the performance of quantum technologies, hence the importance of elaborating operative figures of merit that can capture its impact in exact terms. In quantum metrology, the introduction of the Fisher information measurement…

量子物理 · 物理学 2024-09-30 Francesco Albarelli , Ilaria Gianani , Marco G. Genoni , Marco Barbieri

In most quantum technologies, measurements need to be performed on the parametrized quantum states to transform the quantum information to classical information. The measurements, however, inevitably distort the information. The…

量子物理 · 物理学 2022-06-28 Hongzhen Chen , Yu Chen , Haidong Yuan

Relativistic effects on the precision of quantum metrology for particle detectors, such as two-level atoms are studied. The quantum Fisher information is used to estimate the phase sensitivity of atoms in non-inertial motions or in…

量子物理 · 物理学 2016-06-22 Xiang Hao , Yinzhong Wu
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