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A well-studied scenario in quantum parameter estimation theory arises when the parameter to be estimated is imprinted on the initial state by a Hamiltonian of the form $\theta G$. For such "phase shift Hamiltonians" it has been shown that…

量子物理 · 物理学 2017-07-05 Julien Mathieu Elias Fraisse , Daniel Braun

Quantum Fisher information matrix (QFIM) is a core concept in theoretical quantum metrology due to the significant importance of quantum Cram\'{e}r-Rao bound in quantum parameter estimation. However, studies in recent years have revealed…

量子物理 · 物理学 2020-03-27 Jing Liu , Haidong Yuan , Xiao-Ming Lu , Xiaoguang Wang

The Fisher information $F$ gives a limit to the ultimate precision achievable in a phase estimation protocol. It has been shown recently that the Fisher information for a linear two-mode interferometer cannot exceed the number of particles…

This paper gives an overview of parameter estimation and system identification for quantum input-output systems by continuous observation of the output field. We present recent results on the quantum Fisher information of the output with…

量子物理 · 物理学 2022-05-25 Hendra I. Nurdin , Madalin Guţǎ

Quantum metrology promises precision beyond classical limits, yet environmental noise typically degrades the quantum resources required for such enhancement. In this work, we investigate frequency estimation in noisy continuous-variable…

量子物理 · 物理学 2026-05-08 Ayan Patra , Manju , Aditi Sen De , Matteo G. A. Paris

In this paper, we propose a nonlinear interferometer with feedback loops and explore its efficiency for phase estimation. We analyse two feedback schemes, one where both modes of the interferometer are fed-back into the device and another…

量子物理 · 物理学 2025-07-24 Shivani Singh , Craig S. Hamilton , Igor Jex

We tackle the issue of estimating dynamical parameters in quantum electrodynamics. We numerically compute the quantum Fisher information matrix (QFIM) of physical parameters in electron-muon and Compton scattering at tree level. In…

量子物理 · 物理学 2025-09-08 Preslav Asenov , WenHan Zhang , Alessio Serafini

Entanglement is widely regarded as an essential resource for a number of tasks and can in some cases be quantified by figures of merit related to those tasks. In quantum metrology, this is showcased by the connections between the quantum…

量子物理 · 物理学 2026-03-24 Shaowei Du , Shuheng Liu , Matteo Fadel , Giuseppe Vitagliano , Qiongyi He

We address the characterization of the gain parameter of a non-deterministic noiseless linear amplifier (NLA) and compare the performances of different estimation strategies using tools from quantum estimation theory. At first, we show…

量子物理 · 物理学 2020-01-08 Hamza Adnane , Francesco Albarelli , Abdelhakim Gharbi , Matteo G. A Paris

In recent years, significant progress has been made in utilizing the divergence of spectrum response rate at the exceptional point (EP) for sensing in classical systems, while the use and characterization of quantum EPs for sensing have…

量子物理 · 物理学 2024-04-08 Chun-Hui Liu , Fu Li , Shengwang Du , Jianming Wen , Lan Yang , Chuanwei Zhang

We study quantized non-local order parameters, constructed by using partial time-reversal and partial reflection, for fermionic topological phases of matter in one spatial dimension protected by an orientation reversing symmetry, using…

强关联电子 · 物理学 2024-10-22 Kansei Inamura , Ryohei Kobayashi , Shinsei Ryu

Efficiently estimating the quantum Fisher information (QFI) is pivotal in quantum information science but remains an outstanding challenge for large systems due to its high nonlinearity. In this Letter, we tackle this long-standing…

量子物理 · 物理学 2025-03-21 Da-Jian Zhang , D. M. Tong

The Quantum Fisher Information Matrix (QFIM) is a fundamental quantity in various subfields of quantum physics. It plays a crucial role in the study of parameterized quantum states, as it quantifies their sensitivity to variations in its…

量子物理 · 物理学 2025-05-16 Rafael Gómez-Lurbe

By employing the Naimark dilation, we establish a fundamental connection between non-Hermitian quantum sensing and post-selected measurements. The sensitivity of non-Hermitian quantum sensors is determined by the effective quantum Fisher…

量子物理 · 物理学 2025-05-13 Neng Zeng , Tao Liu , Keyu Xia , Yu-Ran Zhang , Franco Nori

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

We investigate the quantum parameter estimation in circuit quantum electrodynamics via dispersive measurement. Based on the Metropolis Hastings (MH) algorithm and the Markov chain Monte Carlo (MCMC) integration, a new algorithm is proposed…

量子物理 · 物理学 2017-10-05 Beili Gong , Yang Yang , Wei Cui

Resolving frequencies in a time-dependent field is classically limited by the measurement bandwidth. Using tools from quantum metrology and quantum control may overcome this limit, yet the full advantage afforded by entanglement so far…

量子物理 · 物理学 2025-09-03 Anirban Dey , Sara Mouradian , Cosmo Lupo , Zixin Huang

Hamiltonian parameter estimation is crucial in condensed matter physics, but time and cost consuming in terms of resources used. With advances in observation techniques, high-resolution images with more detailed information are obtained,…

无序系统与神经网络 · 物理学 2019-11-15 Dingchen Wang , Songrui Wei , Anran Yuan , Fanghua Tian , Kaiyan Cao , Qizhong Zhao , Dezhen Xue , Sen Yang

The quantum Cram\'er-Rao theorem states that the quantum Fisher information (QFI) bounds the best achievable precision in the estimation of a quantum parameter $\xi$. This is true, however, under the assumption that the measurement employed…

量子物理 · 物理学 2018-09-26 Luigi Seveso , Matteo G. A. Paris

In an open quantum system, we study the evolution of a two-level atom as a detector which interacts with given environments. For a uniformly accelerated two-level atom coupled to a massless scalar field in the Minkowski vacuum, when it…

量子物理 · 物理学 2020-07-28 Zixu Zhao , Qiyuan Pan , Jiliang Jing