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We present a protocol in which sequential weak measurements of a quantum harmonic oscillator enable simultaneous estimation of both quadratures of a displacement channel. Calculations of the quantum Fisher information show that the…

量子物理 · 物理学 2026-05-04 Koray Mentesoglu , Rahul Trivedi , Sara Mouradian

Quantum thermometry refers to the study of measuring ultra-low temperatures in quantum systems. The precision of such a quantum thermometer is limited by the degree to which temperature can be estimated by quantum measurements. More…

统计力学 · 物理学 2025-10-15 Sebastian Deffner

Determining critical points of phase transitions from partial data is essential to avoid abrupt system collapses and reducing experimental or computational costs. However, the complex physical systems and phase transition phenomena have…

统计力学 · 物理学 2025-10-24 Tianyi Zhang , Caihua Wan , Xiufeng Han

Quantum mechanics gives a new breakthrough to the field of parameter estimation. In the realm of quantum metrology, the precision of parameter estimation is limited by the quantum Fisher information. We introduce the measures of partial…

量子物理 · 物理学 2024-11-14 Dong-Ping Xuan , Zhong-Xi Shen , Wen Zhou , Hua Nan , Shao-Ming Fei , Zhi-Xi Wang

Quantum learning (in metrology and machine learning) involves estimating unknown parameters from measurements of quantum states. The quantum Fisher information matrix can bound the average amount of information learnt about the unknown…

量子物理 · 物理学 2021-04-21 Joe H. Jenne , David R. M. Arvidsson-Shukur

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 consider a quantum mechanical system represented in phase space (referred to hereafter as "Wigner space"), coupled to a harmonic oscillator bath. We derive quantum hierarchal Fokker-Planck (QHFP) equations not only in real time, but also…

统计力学 · 物理学 2015-04-16 Yoshitaka Tanimura

We study current-induced vibrational cooling, heating, and instability in a donor-acceptor rectifying molecular junction using a full counting statistics approach. In our model, electron-hole pair excitations are coupled to a given…

介观与纳米尺度物理 · 物理学 2017-08-23 L. Simine , D. Segal

In this paper we address the problem of optimizing an unbalanced Mach-Zehnder interferometer, for a given pure input state and considering a specific detection scheme. While the optimum transmission coefficient of the first beam splitter…

量子物理 · 物理学 2022-08-31 Karunesh K. Mishra , Stefan Ataman

We provide a general framework for handling the effects of a unitary disturbance on the estimation of the amplitude $\lambda$ associated to a unitary dynamics. By computing an analytical and general expression for the quantum Fisher…

量子物理 · 物理学 2013-11-20 A. De Pasquale , D. Rossini , P. Facchi , V. Giovannetti

An observer based adaptive detection methodology (ADM) is proposed for estimating frequency and its rate of change (RoCoF) of the voltage and/or current measurements acquired from an instrument transformer. With guaranteed convergence and…

系统与控制 · 电气工程与系统科学 2021-05-04 Abdul Saleem Mir , Abhinav Kumar Singh , Nilanjan Senroy

We determine the small signal gain and noise response of an amplifier based on the nonlinear response of a quantum nanomechanical resonator. The resonator is biased in the nonlinear regime by a strong harmonic bias force and we determine…

量子物理 · 物理学 2009-11-13 E. Babourina-Brooks , A. Doherty , G. J. Milburn

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

We consider the problem of distributed estimation of a Gaussian vector with linear observation model. Each sensor makes a scalar noisy observation of the unknown vector, quantizes its observation, maps it to a digitally modulated symbol,…

信息论 · 计算机科学 2020-05-01 Mojtaba Shirazi , Azadeh Vosoughi

Detection of radiation signals is at the heart of precision metrology and sensing. In this article we show how the fluctuations in photon counting signals can be exploited to optimally extract information about the physical parameters that…

量子物理 · 物理学 2014-05-13 Alexander Holm Kiilerich , Klaus Mølmer

The problem of determining the intrinsic quality of a signal processing system with respect to the inference of an unknown deterministic parameter $\theta$ is considered. While the Fisher information measure $F(\theta)$ forms a classical…

信息论 · 计算机科学 2018-05-30 Manuel Stein , Josef A. Nossek

Continuous-time measurements are instrumental for a multitude of tasks in quantum engineering and quantum control, including the estimation of dynamical parameters of open quantum systems monitored through the environment. However, such…

量子物理 · 物理学 2023-04-12 Alfred Godley , Madalin Guta

We study the time-dependent quantum Fisher information (QFI) in an open quantum system satisfying the Gorini-Kossakowski-Sudarshan-Lindblad master equation. We also study the dynamics of the system from an effective non-Hermitian dynamics…

量子物理 · 物理学 2023-06-12 Zain H. Saleem , Anil Shaji , Stephen K. Gray

We determine a fundamental upper bound on the performance of any adaptive protocol for discrimination or estimation of a channel which has an unknown parameter encoded in the state of its environment. Since our approach relies on the…

量子物理 · 物理学 2016-11-29 Masahiro Takeoka , Mark M. Wilde

Quantum Fisher information (QFI) and skew information (SI) plays a key role in the quantum resource theory. Understanding these measures in the physical system has practical significance in the state parameter estimation and quantum…

量子物理 · 物理学 2021-11-17 R. Muthuganesan , V. K. Chandrasekar
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