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The von Neumann interaction between a particle and an apparatus has been considered in the measurement of the position of a particle when the interaction lasts for a finite amount of time. When the measurement has finite duration, both the…

量子物理 · 物理学 2009-11-11 Francesc S. Roig

The origin of non-classical correlations is difficult to identify since the uncertainty principle requires that information obtained about one observable invariably results in the disturbance of any other non-commuting observable. Here,…

量子物理 · 物理学 2014-07-01 Holger F. Hofmann

Generally, the measurement process consists in coupling a system to a detector that can give a continuous output. However, it may be interesting to use as a detector a system with a discrete spectrum, especially in view of applications to…

量子物理 · 物理学 2013-02-06 Antonio Di Lorenzo

We combine traditional pointer-based simultaneous measurements of conjugate observables with the concept of quantum Brownian motion of multipartite systems to phenomenologically model simultaneous measurements of conjugate observables in a…

量子物理 · 物理学 2014-05-14 Raoul Heese , Matthias Freyberger

We consider the problem of determining the state of a quantum system given one or more readings of the expectation value of an observable. The system is assumed to be a finite dimensional quantum control system for which we can influence…

量子物理 · 物理学 2009-11-10 Domenico D'Alessandro

The measurability by means of continuous measurements, of an observable $\A(t_0)$, at an instant, and of a time averaged observable, $\bar \A=1/T\int \A(t')dt'$, is examined for linear and in particular for non-linear quantum mechanical…

量子物理 · 物理学 2007-05-23 Y. Aharonov , B. Reznik

The more information a measurement provides about a quantum system's position statistics, the less information a subsequent measurement can provide about the system's momentum statistics. This information trade-off is embodied in the…

量子物理 · 物理学 2016-05-16 Gregory A. Howland , James Schneeloch , Daniel J. Lum , John C. Howell

Suppose a quantum system starts to evolve under a Hamiltonian from some initial state. When for the first time, will an observable attain a preassigned value? To answer this question, one method often adopted is to make instantaneous…

量子物理 · 物理学 2016-06-01 Shrabanti Dhar , Subinay Dasgupta

Measurements play a crucial role in doing physics: Their results provide the basis on which we adopt or reject physical theories. In this note, we examine the effect of subjecting measurements themselves to our experience. We require that…

量子物理 · 物理学 2020-01-28 Arne Hansen , Stefan Wolf

The process of measuring a two-level quantum system was examined by applying Hamiltonian formalism. For the measurement of an observable that does not commute with the system Hamiltonian, a non-trivial relationship among the strength of…

量子物理 · 物理学 2011-05-24 Takayuki Miyadera

A solution to the second measurement problem, determining what prior microscopic properties can be inferred from measurement outcomes ("pointer positions"), is worked out for projective and generalized (POVM) measurements, using consistent…

量子物理 · 物理学 2017-09-20 Robert B. Griffiths

A framework for a quantum information theory is introduced that is based on the measure of quantum information associated with probability distribution predicted by quantum measuring of state. The entanglement between states of measured…

量子物理 · 物理学 2007-05-23 Yi-Xin Chen

Quantum mechanics predicts the joint probability distributions of the outcomes of simultaneous measurements of commuting observables, but the current formulation lacks the operational definition of simultaneous measurements. In order to…

量子物理 · 物理学 2009-11-06 Masanao Ozawa

We consider pairs of quantum observables (POVMs) and analyze the relation between the notions of non-disturbance, joint measurability and commutativity. We specify conditions under which these properties coincide or differ---depending for…

量子物理 · 物理学 2010-09-10 Teiko Heinosaari , Michael M. Wolf

A general scheme to seek for the relations between entanglement and bservables is proposed in principle. In two-qubit systems with enough general Hamiltonian, we find the entanglement to be the functions of observables for six kinds of…

量子物理 · 物理学 2007-05-23 An Min Wang

Quantum measurement is ultimately a physical process, resulting from an interaction between the measured system and a measuring apparatus. Considering the physical process of measurement within a thermodynamic context naturally raises the…

量子物理 · 物理学 2021-12-09 M. Hamed Mohammady

The quantum theory of indirect measurements in physical systems is studied. The example of an indirect measurement of an observable represented by a self-adjoint operator $\mathcal{N}$ with finite spectrum is analysed in detail. The…

数学物理 · 物理学 2017-09-12 M. Ballesteros , N. Crawford , M. Fraas , J. Fröhlich , B. Schubnel

The term "measurement" in quantum theory (as well as in other physical theories) is ambiguous: It is used to describe both an experience - e.g., an observation in an experiment - and an interaction with the system under scrutiny. If doing…

量子物理 · 物理学 2019-04-03 Arne Hansen , Stefan Wolf

A model of an electrical point contact coupled to a mechanical system (oscillator) is studied to simulate the dephasing effect of measurement on a quantum system. The problem is solved at zero temperature under conditions of strong…

凝聚态物理 · 物理学 2015-06-24 D. Mozyrsky , I. Martin

Various approaches of defining and determining work performed on a quantum system are compared. Any operational definition of work, however, must allow for two facts, first, that work characterizes a process rather than an instantaneous…

量子物理 · 物理学 2016-03-02 Peter Talkner , Peter Hanggi
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