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We show that both the classical as well as the quantum definitions of the Fisher information faithfully identify resourceful quantum states in general quantum resource theories, in the sense that they can always distinguish between states…

量子物理 · 物理学 2021-11-25 Kok Chuan Tan , Varun Narasimhachar , Bartosz Regula

The problem of quantum metrology under the context of a particular non-Markovian quantum evolution is explored. We study the dynamics of the quantum Fisher information (QFI) of a composite quantum probe coupled to a Lorentzian environment,…

量子物理 · 物理学 2020-09-02 Nicolás Mirkin , Martin Larocca , Diego Wisniacki

We derive a general upper bound to mutual information in terms of the Fisher information. The bound may be further used to derive a lower bound for the Bayesian quadratic cost. These two provide alternatives to other inequalities in the…

量子物理 · 物理学 2025-05-16 Wojciech Górecki , Xi Lu , Chiara Macchiavello , Lorenzo Maccone

We study quantum statistical inference tasks of hypothesis testing and their canonical variations, in order to review relations between their corresponding figures of merit---measures of statistical distance---and demonstrate the crucial…

量子物理 · 物理学 2020-09-25 Marcin Jarzyna , Jan Kolodynski

The Cramer-Rao bound, satisfied by classical Fisher information, a key quantity in information theory, has been shown in different contexts to give rise to the Heisenberg uncertainty principle of quantum mechanics. In this paper, we show…

量子物理 · 物理学 2022-11-23 Yakov Bloch , Eliahu Cohen

We work out the general theory of one-parameter families of partial entanglement properties and the resulting entanglement depth-like quantities. Special cases of these are the depth of partitionability, the depth of producibility (or…

量子物理 · 物理学 2025-12-12 Szilárd Szalay , Géza Tóth

Achieving the ultimate quantum precision in the estimation of multiple physical parameters simultaneously is a challenge in quantum metrology due to fundamental limitations and experimental challenges in harnessing the necessary quantum…

量子物理 · 物理学 2025-06-24 Atmadev Rai , Danilo Triggiani , Paolo Facchi , Vincenzo Tamma

Although the notion of entropy lies at the core of statistical mechanics, it is not often used in statistical mechanical models to characterize phase transitions, a role more usually played by quantities such as various order parameters,…

统计力学 · 物理学 2016-08-31 D. A. Johnston , W. Janke , R. Kenna

Recently new approaches for sensing the frequency of time dependent Hamiltonians have been presented, and it was shown that the optimal Fisher information scales as $T^{4}.$ We present here our interpretation of this new scaling, where the…

量子物理 · 物理学 2017-09-13 Tuvia Gefen , Fedor Jelezko , Alex Retzker

In quantum resource theory (QRT), asymmetry recognized as a valid resource for the advantage of various quantum information processing. In this paper, we establish the resource theory of asymmetry using quantum Fisher information (QFI). By…

量子物理 · 物理学 2021-10-07 R. Muthuganesan , V. K. Chandrasekar

Many typical Bell experiments can be described as follows. A source repeatedly distributes particles among two spacelike separated observers. Each of them makes a measurement, using an observable randomly chosen out of several possible…

量子物理 · 物理学 2015-01-08 Michael Epping , Hermann Kampermann , Dagmar Bruß

We propose a measurement-based quantum metrology protocol in a composite model, where the probe system (a spin ensemble) is coupled to an ancillary two-level system (qubit) with a general Heisenberg XXZ interaction. With an optimized and…

量子物理 · 物理学 2026-01-23 Peng Chen , Jun Jing

We present an extension of the Levenberg-Marquardt algorithm for fitting multichannel nuclear cross section data. Our approach offers a practical and robust alternative to conventional trust-region methods for analyzing experimental data.…

核理论 · 物理学 2025-09-15 M. Imbrišak , A. E. Lovell , M. R. Mumpower

We derive general upper bounds to pointwise mutual information in terms of stochastic Fisher information and show these bounds average to known results in the literature for bounds to mutual information in terms of Fisher information. These…

量子物理 · 物理学 2026-05-22 Pedro B. Melo

We describe a compact and reliable method to calculate the Fisher information for the estimation of a dynamical parameter in a continuously measured linear Gaussian quantum system. Unlike previous methods in the literature, which involve…

量子物理 · 物理学 2017-06-08 Marco G. Genoni

We explore the performance of the metrology scheme by employing a quantum time flip during encoding, a specific case of processes with indefinite time direction, which we refer to as indefinite time directed metrology (ITDM). In the case of…

量子物理 · 物理学 2025-07-15 Gaurang Agrawal , Pritam Halder , Aditi Sen De

We provide efficient and intuitive tools for deriving bounds on achievable precision in quantum enhanced metrology based on the geometry of quantum channels and semi-definite programming. We show that when decoherence is taken into account,…

量子物理 · 物理学 2012-09-19 Rafal Demkowicz-Dobrzanski , Jan Kolodynski , Madalin Guta

We show that contrary to the claim in Sci. Rep. 7, 15492 (2017), the quantum Fisher information itself is not a valid coherence measure based on the resource theory of coherence because it can increase via an incoherent operation.

量子物理 · 物理学 2017-11-29 Hyukjoon Kwon , Kok Chuan Tan , Seongjeon Choi , Hyunseok Jeong

Photonic states with large and fixed photon numbers, such as Fock states, enable quantum-enhanced metrology but remain an experimentally elusive resource. A potentially simple, deterministic and scalable way to generate these states…

量子物理 · 物理学 2019-04-17 V. Paulisch , M. Perarnau-Llobet , A. González-Tudela , J. I. Cirac

We propose a dynamic quantum sensing scheme by using a quantum many-spin system composed of a central spin interacting with many surrounding spins. Starting from a generalized Ising ring model, we investigate the error propagation formula…

量子物理 · 物理学 2022-07-20 Wenkui Ding , Yanxia Liu , Zhenyu Zheng , Shu Chen