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We consider a general model of unitary parameter estimation in presence of Markovian noise, where the parameter to be estimated is associated with the Hamiltonian part of the dynamics. In absence of noise, unitary parameter can be estimated…

量子物理 · 物理学 2018-08-17 R. Demkowicz-Dobrzanski , J. Czajkowski , P. Sekatski

Phase transitions represent a compelling tool for classical and quantum sensing applications. It has been demonstrated that quantum sensors can in principle saturate the Heisenberg scaling, the ultimate precision bound allowed by quantum…

量子物理 · 物理学 2024-01-31 Louis Garbe , Obinna Abah , Simone Felicetti , Ricardo Puebla

Quantum metrology enhances the sensitivity of parameter estimation using the distinctive resources of quantum mechanics such as entanglement. It has been shown that the precision of estimating an overall multiplicative factor of a…

量子物理 · 物理学 2016-05-31 Shengshi Pang , Todd A. Brun

We derive ultimate precision bounds for estimating parameters encoded in \emph{time-dependent} Hamiltonians in the presence of general Markovian noise, allowing for arbitrary adaptive protocols with fast controls and noiseless ancillas.…

量子物理 · 物理学 2026-05-19 Luca Previdi , Francesco Albarelli

Quantum metrology enables parameter estimation beyond classical limits by exploiting nonclassical resources such as squeezing and entanglement. In distributed quantum sensing, Heisenberg scaling has been extended from $1/N^2$ to $1/(NM)^2$…

量子物理 · 物理学 2026-03-20 Hanbom Yoo , Hyukgun Kwon , Seongjin Hong

We introduce a new class of quantum models with time-dependent Hamiltonians of a special scaling form. By using a couple of time-dependent unitary transformations, the time evolution of these models is expressed in terms of related systems…

量子物理 · 物理学 2009-11-07 L. Samaj

Quantum metrology leverages quantum resources such as entanglement and squeezing to enhance parameter estimation precision beyond classical limits. While optimal quantum control strategies can assist to reach or even surpass the Heisenberg…

量子物理 · 物理学 2025-10-17 Qifei Wei , Shengshi Pang

Time is a valuable resource and it seems intuitive that longer time should lead to better precision in Hamiltonian parameter estimation. However recent studies have put this intuition into question, showing longer time may even lead to…

量子物理 · 物理学 2015-09-16 Haidong Yuan , Chi-Hang Fred Fung

A Markovian model for a quantum automata, i.e. an open quantum dynamical discrete-time system with input and output channels and a feedback, is described. A dynamical theory of quantum discrete-time adaptive measurements and multi-stage…

量子物理 · 物理学 2007-05-23 V. P. Belavkin

Quantum metrology has been studied for a wide range of systems with time-independent Hamiltonians. For systems with time-dependent Hamiltonians, however, due to the complexity of dynamics, little has been known about quantum metrology. Here…

量子物理 · 物理学 2017-03-10 Shengshi Pang , Andrew N. Jordan

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

Scaling behavior is studied of several dominant eigenvalues of spectra of Markov matrices and the associated correlation times governing critical slowing down in models in the universality class of the two-dimensional Ising model. A scheme…

凝聚态物理 · 物理学 2009-10-30 M. P. Nightingale , H. W. J. Bloete

Estimating the parameters that dictate the dynamics of a quantum system is an important task for quantum information processing and quantum metrology, as well as fundamental physics. In this paper we develop a method for parameter…

量子物理 · 物理学 2015-07-07 Jun Zhang , Mohan Sarovar

The paper investigates the techniques of quantum computation in metrological predictions, with a particular emphasis on enhancing prediction potential through variational parameter estimation. The applicability of quantum simulations and…

量子物理 · 物理学 2025-01-31 Vaidik A Sharma , N. Madurai Meenachi , B. Venkatraman

Most future quantum devices, including quantum computers, require control that is broadband, meaning that the rate of change of the time-dependent Hamiltonian is as fast or faster than the dynamics it generates. In many areas of quantum…

量子物理 · 物理学 2020-01-31 Gavin McCauley , Benjamin Cruikshank , Siddhartha Santra , Kurt Jacobs

We analyse the problem of estimating a scalar parameter $g$ that controls the Hamiltonian of a quantum system subject to Markovian noise. Specifically, we place bounds on the growth rate of the quantum Fisher information with respect to…

量子物理 · 物理学 2022-08-11 Kianna Wan , Robert Lasenby

We report on a time scaling technique to enhance the performances of quantum protocols in non-Hermitian systems. The considered time scaling involves no extra-couplings and yields a significant enhancement of the quantum fidelity for a…

量子物理 · 物理学 2021-12-08 F. Impens , F. M. D'Angelis , F. A. Pinheiro , D. Guéry-Odelin

Models for open quantum systems, which play important roles in electron transport problems and quantum computing, must take into account the interaction of the quantum system with the surrounding environment. Although such models can be…

量子物理 · 物理学 2024-07-17 Ke Wang , Xiantao Li

Measuring stochastic signals ("noise metrology") constitutes a central task in quantum sensing and the characterization of open quantum systems. Here we establish ultimate precision bounds for multiparameter estimation of stochastic signals…

量子物理 · 物理学 2026-04-17 Anthony J. Brady , Yu-Xin Wang , Luis Pedro García-Pintos , Alexey V. Gorshkov

In quantum metrology quantum properties such as squeezing and entanglement are exploited in the design of a new generation of clocks, sensors and other measurement devices that can outperform their classical counterparts. Applications of…

量子物理 · 物理学 2014-03-26 Mehdi Ahmadi , David Edward Bruschi , Ivette Fuentes
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