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The topic of quantum noise has become extremely timely due to the rise of quantum information physics and the resulting interchange of ideas between the condensed matter and AMO/quantum optics communities. This review gives a pedagogical…

Mesoscale and Nanoscale Physics · Physics 2010-04-16 A. A. Clerk , M. H. Devoret , S. M. Girvin , F. Marquardt , R. J. Schoelkopf

We consider the quantum measurement properties of a driven cavity with a Kerr-type nonlinearity which is used to amplify a dispersively coupled input signal. Focusing on an operating regime which is near a bifurcation point, we derive…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 Catherine Laflamme , Aashish A. Clerk

We show that the detection sensitivity of a linear detector is lower bounded by some quantum limits. For the force detection, relevant for atomic force microscopes, the lower bound is given by the so-called ultimate quantum limit. For the…

Quantum Physics · Physics 2017-03-08 Yang Gao

An inequality about quantum noise is presented with the imprecise measurement theory, which is used to analyse the quantum limit in continuous quantum measurement. Different from the linear-response approach based on the quantum relation…

Quantum Physics · Physics 2012-04-11 ChengGang Shao

We formulate general conditions necessary for a linear-response detector to reach the quantum limit of measurement efficiency, where the measurement-induced dephasing rate takes on its minimum possible value. These conditions are applicable…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. A. Clerk , S. M. Girvin , A. D. Stone

We prove that the force sensitivity of the conventional optomechanical detector associated with the optical quadrature measurement of the output beam is lower bounded by the so-called ultimate quantum limit (UQL), i.e., the absolute value…

Quantum Physics · Physics 2016-07-15 Yang Gao , Hopui Ho , Haixi Zhang

We investigate the trade-off between vacuum insensitivity and sensitivity to excitations in finite-size detectors, taking measurement locality as a fundamental constraint. We derive an upper bound on the detectability of vacuum excitation,…

Quantum Physics · Physics 2026-03-05 Riccardo Falcone , Claudio Conti

A conventional resonant detector is often subject to a trade-off between bandwidth and peak sensitivity that can be traced back to quantum Cramer-Rao Bound. Anomalous dispersion has been shown to improve it by signal amplification and is…

Quantum Physics · Physics 2020-12-03 Xiang Li , Maxim Goryachev , Yiqiu Ma , Michael E. Tobar , Chunnong Zhao , Rana X Adhikari , Yanbei Chen

Long-distance fiber communication stands as a cornerstone of modern technology. One of the underlying principles, preventing signal levels from diminishing below the detectability threshold, is optical amplification. In particular,…

Quantum Physics · Physics 2023-09-15 Karol Łukanowski , Konrad Banaszek , Marcin Jarzyna

Quantum target detection aims to utilise quantum technologies to achieve performances in target detection not possible through purely classical means. Quantum illumination is an example of this, based on signal-idler entanglement, promising…

Quantum Physics · Physics 2022-09-09 Athena Karsa , Masoud Ghalaii , Stefano Pirandola

We investigate the continuous weak measurement of a solid-state qubit by single electron transistors in nonlinear response regime. It is found that the signal-to-noise ratio can violate the universal upper bound imposed quantum mechanically…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 HuJun Jiao , Shi-Kuan Wang , Feng Li , Xin-Qi Li

The problem of continuous quantum measurement of coherent oscillations in an individual quantum two-state system is studied for a generic model of the measuring device. It is shown that for a symmetric detector, the signal-to-noise ratio of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. V. Averin

In quantum sensing and metrology, an important class of measurement is the continuous linear measurement, in which the detector is coupled to the system of interest linearly and continuously in time. One key aspect involved is the quantum…

Quantum Physics · Physics 2017-01-26 Haixing Miao

Linear response theory describes quantum measurement with an arbitrary detector weakly coupled to a measured system. This description produces generic quantitative relation characterizing the detector that is analogous to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Averin

The quantum limit is a fundamental lower bound on the uncertainty when estimating a parameter in a system dominated by the minimum amount of noise (quantum noise). For the first time, we derive and demonstrate a quantum limit for…

Signal Processing · Electrical Eng. & Systems 2025-05-12 Huwei Wang , Roman Ermakov , Francesco Da Ros , Darko Zibar

Nonlinear amplifiers such as the transistor are ubiquitous in classical technology, but their quantum analogues are not well understood. We introduce a class of nonlinear amplifiers that amplify any normal operator and add only a…

Quantum Physics · Physics 2021-05-17 Jeffrey M. Epstein , K. Birgitta Whaley , Joshua Combes

We give a systematic theoretical treatment of linear quantum detectors used in modern high energy physics experiments, including dark matter cavity haloscopes, gravitational wave detectors, and impulsive mechanical sensors. We show how to…

High Energy Physics - Phenomenology · Physics 2026-04-20 Jacob Beckey , Daniel Carney , Giacomo Marocco

It has been shown that a macroscopic system being in a high-temperature thermal coherent state can be, in principle, driven into a non-classical state by coupling to a microscopic system. Therefore, thermal coherent states do not truly…

Quantum Physics · Physics 2019-04-22 Arash Tirandaz , Farhad Taher Ghahramani , Ali Asadian , Mehdi Golshani

Amplification of quantum states is inevitably accompanied with the introduction of noise at the output. For protocols that are probabilistic with heralded success, noiseless linear amplification in theory may still possible. When the…

Quantum Physics · Physics 2017-04-28 Syed Assad , Mark Bradshaw , Ping Koy Lam

General quantum restrictions on the noise performance of linear transistor amplifiers are used to identify the region in parameter space where the quantum-limited performance is achievable and to construct a practical procedure for…

Other Condensed Matter · Physics 2009-11-11 U. Gavish , B. Yurke , Y. Imry
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