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We propose a two step strategy for estimating one-dimensional dynamical parameters of a quantum Markov chain, which involves quantum post-processing the output using a coherent quantum absorber and a "pattern counting'' estimator computed…

量子物理 · 物理学 2025-08-28 Federico Girotti , Alfred Godley , Mădălin Guţă

We investigate quantum parameter estimation based on linear and Kerr-type nonlinear controls in an open quantum system, and consider the dissipation rate as an unknown parameter. We show that while the precision of parameter estimation is…

量子物理 · 物理学 2017-12-12 Beili Gong , Wei Cui

We consider the effective dynamics obtained by double-passing a far-detuned laser probe through a large atomic spin system. The net result of the atom-field interaction is a type of coherent positive feedback that amplifies the values of…

量子物理 · 物理学 2009-05-08 Bradley A. Chase , JM Geremia

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 study the fundamental bounds on precision measurements of parameters contained in a time-dependent nonlinear optomechanical Hamiltonian, which includes the nonlinear light-matter coupling, a mechanical displacement term, and a…

In this paper we provide the answer to the following question: given an arbitrary pure input state and a general, unbalanced, Mach-Zehnder interferometer, what transmission coefficient of the first beam splitter maximizes the quantum Fisher…

量子物理 · 物理学 2022-01-17 Stefan Ataman

Quantum metrology is a rapidly developing branch of quantum technologies. While various theories have been established on quantum metrology for Markovian processes, i.e., quantum channel estimation, quantum metrology for non-Markovian…

量子物理 · 物理学 2021-08-04 Anian Altherr , Yuxiang Yang

Quantum Fisher Information (QFI) is a measure quantifying the sensitivity of a quantum state with respect to changes in tuning parameters in quantum metrology, and defining quantum speed limits. We show that even if the quantum state is…

量子物理 · 物理学 2025-07-23 Alexander Kruchkov

The dissipative quantum Fisher information (DQFI) for a dynamic map with a general parameter in an open quantum system is investigated, which can be regarded as an analog of the quantum Fisher information (QFI) in the Liouville space. We…

量子物理 · 物理学 2023-08-22 Jia-Xin Peng , Baiqiang Zhu , Weiping Zhang , Keye Zhang

We present a framework for the detection and estimation of deformations applied to a grid of sources. Our formalism uses the Hamiltonian formulation of the quantum Fisher information matrix (\textsc{qfim}) as the figure of merit to quantify…

量子物理 · 物理学 2018-02-07 Jasminder S. Sidhu , Pieter Kok

We demonstrate that multipartite entanglement, witnessed by the quantum Fisher information (QFI), can characterize topological quantum phase transitions in the spin-$\frac{1}{2}$ toric code model on a square lattice with external fields. We…

量子物理 · 物理学 2022-06-14 Yu-Ran Zhang , Yu Zeng , Tao Liu , Heng Fan , J. Q. You , Franco Nori

Coherent ensembles of $N$ qubits present an advantage in quantum phase estimation over separable mixtures, but coherence decay due to classical phase diffusion reduces overall precision. In some contexts, the strength of diffusion may be…

量子物理 · 物理学 2013-07-02 Sergey I. Knysh , Gabriel A. Durkin

Entanglement plays a central role in quantum technologies, yet its characterization and control in materials remain challenging. Recent developments in spectrum-based entanglement witnesses have enabled new strategies for quantifying…

量子物理 · 物理学 2025-12-09 Zecheng Shen , Shuhan Ding , Zijun Zhao , Francesco A. Evangelista , Yao Wang

Recently, variational quantum metrology was proposed for Hamiltonians with multiplicative parameters, wherein the estimation precision can be optimized via variational circuits. However, systems with generic Hamiltonians still lack these…

量子物理 · 物理学 2023-09-25 Le Bin Ho

We define two ways of quantifying the quantum correlations based on quantum Fisher information (QFI) in order to study the quantum correlations as a resource in quantum metrology. By investigating the hierarchy of measurement-induced Fisher…

量子物理 · 物理学 2018-03-20 Sunho Kim , Longsuo Li , Asutosh Kumar , Junde Wu

This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a…

量子物理 · 物理学 2014-02-11 Ian R. Petersen

We construct uncertainty relation for arbitrary finite dimensional PT invariant non-Hermitian quantum systems within a special inner product framework. This construction is led by good observables which are a more general class of…

量子物理 · 物理学 2023-04-11 Namrata Shukla , Ranjan Modak , Bhabani Prasad Mandal

We address the discontinuities of the quantum Fisher information (QFI) that may arise when the parameter of interest takes values that change the rank of the quantum statistical model. We revisit the classical and the quantum Cram\'er-Rao…

量子物理 · 物理学 2025-01-23 Luigi Seveso , Francesco Albarelli , Marco G. Genoni , Matteo G. A. Paris

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

The phase diagram and the order parameters of the exactly solvable quantum 1D model are analysed. The model in its spin representation is the dimerized XY spin chain in the presence of uniform and staggered transverse fields. In the…

统计力学 · 物理学 2019-09-25 Gennady Y. Chitov , Toplal Pandey , P. N. Timonin