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Quantum fluctuation of light limits the sensitivity of advanced laser interferometric gravitational-wave detectors. It is one of the principal obstacles on the way towards the next-generation gravitational-wave observatories. The envisioned…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Stefan L. Danilishin , Farid Ya. Khalili , Haixing Miao

The Heisenberg uncertainty principle sets a lower bound on the sensitivity of continuous optical measurements of force. This bound, the standard quantum limit, can only be reached when a mechanical oscillator subjected to the force is…

We consider the use of quantum-limited mechanical force sensors to detect ultralight (sub-meV) dark matter candidates which are weakly coupled to the standard model. We show that mechanical sensors with masses around or below the milligram…

High Energy Physics - Phenomenology · Physics 2021-03-12 Daniel Carney , Anson Hook , Zhen Liu , Jacob M. Taylor , Yue Zhao

This paper develops a systematic approach to realising linear detectors with an optimised sensitivity, allowing for the detection of extremely weak signals. First, general constraints are derived on a specific class of input-output transfer…

Quantum Physics · Physics 2023-01-09 Joe Bentley , Hendra Nurdin , Yanbei Chen , Xiang Li , Haixing Miao

This paper studies quantum limits to dynamical sensors in the presence of decoherence. A modified purification approach is used to obtain tighter quantum detection and estimation error bounds for optical phase sensing and optomechanical…

Quantum Physics · Physics 2013-07-04 Mankei Tsang

The theory of linear quantum measurement has been developed for analysing the sensitivities of experimental devices that measure extremely weak signals, such as gravitational waves. It has successfully contributed to the theoretical…

Quantum Physics · Physics 2019-11-25 Yiqiu Ma , Xiang Li , Shengjun Yang , Yanbei Chen

Quantum Mechanics places limits on achievable transverse beam spot sizes of particle accelerators. We estimate this limit for a linear collider to be \Delta x > \hbar c f/E\delta_0 where f is the final focal length, E the beam energy, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christopher T. Hill

We study an electrostatic qubit monitored by a point-contact detector. Projecting an entire qubit-detector wave function on the detector eigenstates we determine the precision limit for the qubit measurements, allowed by quantum mechanics.…

Quantum Physics · Physics 2009-11-11 S. A. Gurvitz

We demonstrate that there is a fundamental limit to the sensitivity of phase-based detection of atoms with light for a given maximum level of allowable spontaneous emission. This is a generalisation of previous results for two-level and…

Quantum Physics · Physics 2009-11-10 J. J. Hope , J. D. Close

Recent advances in quantum sensing -- optical clocks at $5.5\times 10^{-19}$ systematic uncertainty, frequency-dependent squeezing below the standard quantum limit, quantum magnetometers approaching fundamental sensitivity limits -- raise a…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Sergio Gaudio

The fast progress in improving the sensitivity of the gravitational-wave (GW) detectors, we all have witnessed in the recent years, has propelled the scientific community to the point, when quantum behaviour of such immense measurement…

Quantum Physics · Physics 2015-06-04 Stefan L. Danilishin , Farid Ya. Khalili

In order to expand the astrophysical reach of gravitational wave detectors, several interferometer topologies have been proposed to evade the thermodynamic and quantum mechanical limits in future detectors. In this work, we make a…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Haixing Miao , Huan Yang , Rana X Adhikari , Yanbei Chen

We derive a lower bound on the sensitivity of generic mechanical and electromagnetic gravitational wave detectors. We consider both classical and quantum detection schemes, although we focus on the former. Our results allow for a simple…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Raffaele Tito D'Agnolo , Sebastian A. R. Ellis

Second-generation interferometric gravitational-wave detectors will be operating at the Standard Quantum Limit, a sensitivity limitation set by the trade off between measurement accuracy and quantum back action, which is governed by the…

General Relativity and Quantum Cosmology · Physics 2011-01-28 Yanbei Chen , Stefan L. Danilishin , Farid Ya. Khalili , Helge Müller-Ebhardt

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

We derive a quantum Cram\'er-Rao bound (QCRB) on the error of estimating a time-changing signal. The QCRB provides a fundamental limit to the performance of general quantum sensors, such as gravitational-wave detectors, force sensors, and…

Quantum Physics · Physics 2011-10-31 Mankei Tsang , Howard M. Wiseman , Carlton M. Caves

A general quantum limit to the sensitivity of particle position measurements is derived following the simple principle of the Heisenberg microscope. The value of this limit is calculated for particles in the Rayleigh and Mie scattering…

Optics · Physics 2014-09-04 Michael A. Taylor , Joachim Knittel , Warwick P. Bowen

We show that there are extremely simple signal detection schemes where the finiteness of energy resources places no limit to the resolution. On the contrary, larger resolution can be obtained with lower energy. To this end the generator of…

Quantum Physics · Physics 2013-01-17 Alfredo Luis

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

The capacity of a linear attenuating optical channel with the signal regenerated using quantum-limited phase-sensitive amplifiers is analyzed for conventional and generalized detection scenarios. The continuous model of distributed…

Quantum Physics · Physics 2023-08-09 Karol Łukanowski , Marcin Jarzyna , Konrad Banaszek