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A complete apparatus is defined as reacting to every state of the measured system. Standard quantum mechanics of indistinguishable particles is shown to imply that apparatuses must be incomplete or else they would be drowned out by noise.…

Quantum Physics · Physics 2016-06-14 Petr Hajicek

An uncertainty relation for the number and phase of a single-mode field state is derived. It is then used to find a lower bound on the phase noise of a classical state. Any state that violates this condition is nonclassical. An example of…

Quantum Physics · Physics 2023-09-18 Mark Hillery

Quantum measurement is physically realized through a finite dynamical interaction between a system and a measuring apparatus, giving rise to a continuous transition from weak to strong regimes. While this crossover is well understood under…

Theoretical and experimental work concerned with dynamic fluctuations has developed into a very active and fascinating subfield of mesoscopic physics. We present a review of this development focusing on shot noise in small electric…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Ya. M. Blanter , M. Buttiker

We consider frequency estimation in a noisy environment with noisy probes. This builds on previous studies, most of which assume that the initial probe state is pure, while the encoding process is noisy, or that the initial probe state is…

We propose to use the phenomenon of resonant tunneling for the detection of noise. The main idea of this method relies on the effect of homogeneous broadening of the resonant tunneling peak induced by the emission and absorption of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eugene V. Sukhorukov , Jonathan Edwards

We present an experimental analysis of force noise caused by stray electrostatic fields acting on a charged test mass inside a conducting enclosure, a key problem for precise gravitational experiments. Measurement of the average field that…

General Relativity and Quantum Cosmology · Physics 2012-05-09 F. Antonucci , A. Cavalleri , R. Dolesi , M. Hueller , D. Nicolodi , H. B. Tu , S. Vitale , W. J. Weber

We present a general framework to study the simultaneous estimation of multiple phases in the presence of noise as a discretized model for phase imaging. This approach can lead to nontrivial bounds of the precision for multiphase…

Quantum Physics · Physics 2014-08-12 Jie-Dong Yue , Yu-Ran Zhang , Heng Fan

Quantum filtering is a signal processing technique that estimates the posterior state of a quantum system under continuous measurements and has become a standard tool in quantum information processing, with applications in quantum state…

Quantum Physics · Physics 2014-08-19 Mankei Tsang

When modelling time series, it is common to decompose observed variation into a "signal" process, the process of interest, and "noise", representing nuisance factors that obfuscate the signal. To separate signal from noise, assumptions must…

Methodology · Statistics 2020-11-11 Richard Creswell , Ben Lambert , Chon Lok Lei , Martin Robinson , David Gavaghan

Additive measures for information and disturbance in quantum measurements of a system are defined from well-known multiplicative measures such as estimation and operation fidelities using a logarithm. This is motivated by the fact that…

Quantum Physics · Physics 2025-07-08 Hiroaki Terashima

Projective measurement can increase the entropy of a state $\rho$, the increased entropy is not only up to the basis of projective measurement, but also has something to do with the properties of the state itself. In this paper we define…

Quantum Physics · Physics 2016-10-03 Xing Chen

Measurement in quantum mechanics is generally described as an irreversible process that perturbs the wavefunction describing a quantum system. In this work we establish a formal connection between the measurement description within the…

Quantum Physics · Physics 2016-05-17 Fabio L. Traversa , Guillermo Albareda

We quantify how squeezed light can reduce quantum measurement noise to levels below the standard quantum limit in impulse measurements with mechanical detectors. The broadband nature of the signal implies that frequency-dependent squeezing…

Quantum Physics · Physics 2025-07-17 Tsai-Chen Lee , Jacob L. Beckey , Giacomo Marocco , Daniel Carney

This paper considers estimation of a quantized constant in noise when using uniform and nonuniform quantizers. Estimators based on simple arithmetic averages, on sample statistical moments and on the maximum-likelihood procedure are…

Signal Processing · Electrical Eng. & Systems 2018-04-30 Antonio Moschitta , Johan Schoukens , Paolo Carbone

A recent concept of local noise sensor is extended to measure the energy resolved electronic energy distribution $f(\varepsilon)$ at a given location inside a non-equilibrium normal metal interconnect. A quantitative analysis of…

Mesoscale and Nanoscale Physics · Physics 2017-09-25 S. U. Piatrusha , V. S. Khrapai

We derive the ultimate bounds on the performance of nonlinear measurement schemes in the presence of noise. In particular, we investigate the precision of the second-order estimation scheme in the presence of the two most detrimental types…

Quantum Physics · Physics 2014-02-17 Marcin Zwierz , Howard M. Wiseman

We show theoretically how a correlation of multiple measurements on a qubit undergoing pure dephasing can be expressed as environmental noise filtering. The measurement of such correlations can be used for environmental noise spectroscopy,…

Quantum Physics · Physics 2020-01-22 Fattah Sakuldee , Łukasz Cywiński

We consider the motion of a quantum particle whose position is measured in random places at random moments in time. We contrast this motion with the motion of a quantum particle in a potential which varies randomly in space and in time,…

Disordered Systems and Neural Networks · Physics 2025-07-10 Victor Gurarie

A new approach to the problem of measurement in quantum mechanics is proposed. In this approach, the process of measurement is described in the Heisenberg picture and divided into two stages. The first stage is to transduce the measured…

Quantum Physics · Physics 2007-05-23 Masanao Ozawa
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