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An attempt toward the operational formulation of quantum thermodynamics is made by employing the recently proposed operations forming positive operator-valued measures for generating thermodynamic processes. The quantity of heat as well as…

Statistical Mechanics · Physics 2015-06-04 Sumiyoshi Abe , Yuki Aoyaghi

In this paper we study a class of physical systems that combine a finite number of mechanical and thermodynamic observables. We call them finite dimensional thermo-mechanical systems. We introduce these systems by means of simple examples.…

Mathematical Physics · Physics 2016-09-29 Hernán Cendra , Sergio Grillo , Maximiliano Palacios Amaya

In an ideal quantum measurement, the wave function of a quantum system collapses to an eigenstate of the measured observable, and the corresponding eigenvalue determines the measurement outcome. If the observable commutes with the system…

Quantum Physics · Physics 2020-02-13 Dayou Yang , Andrey Grankin , Lukas M. Sieberer , Denis V. Vasilyev , Peter Zoller

Despite compelling evidence to the contrary in recent years, the view still persists that quantum effects cannot survive very long within a warm, noisy and complex environment that washes out quantum effects at timescales far too short for…

Quantum Physics · Physics 2014-07-09 A. D. Godbeer , J. S. Al-Khalili , P. D. Stevenson

Generalized measurements may allow the control of its back-action on the quantum system by interpolating from a very weak to strong projective action. Such a measurement can fuel a quantum heat engine or extract work depending on the…

Quantum Physics · Physics 2022-12-05 V. F. Lisboa , P. R. Dieguez , J. R. Guimarães , J. F. G. Santos , R. M. Serra

A general scheme is presented for controlling quantum systems using evolution driven by non-selective von Neumann measurements, with or without an additional tailored electromagnetic field. As an example, a 2-level quantum system controlled…

Quantum Physics · Physics 2007-05-23 Alexander Pechen , Nikolai Il'in , Feng Shuang , Herschel Rabitz

We consider an ideal experiment in which unlimited nonprojective quantum measurements are sequentially performed on a system that is initially entangled with a distant one. At each step of the sequence, the measurements are randomly chosen…

Quantum Physics · Physics 2018-03-30 Armin Tavakoli , Adán Cabello

Heat capacity measurements are a powerful tool that researchers rely on when studying the relationship between microscopic degrees of freedom and macroscopic behavior in condensed matter. This uniqueness stems from heat capacity capturing…

Strongly Correlated Electrons · Physics 2026-04-15 K. Ramesh Kumar , Xudong Huai , Michał J. Winiarski , Allen O. Scheie , Thao T. Tran

In quantum mechanics, the process of measurement is a subtle interplay between extraction of information and disturbance of the state of the quantum system. A quantum non-demolition (QND) measurement minimizes this disturbance by using a…

Superconductivity · Physics 2015-06-25 A. Lupascu , S. Saito , T. Picot , P. C. de Groot , C. J. P. M. Harmans , J. E. Mooij

Non-local observables play an important role in quantum theory, from Bell inequalities and various post-selection paradoxes to quantum error correction codes. Instantaneous measurement of these observables is known to be a difficult…

Quantum Physics · Physics 2016-02-22 Aharon Brodutch , Eliahu Cohen

In quantum information theory, von Neumann entropy plays an important role. The entropies can be obtained analytically only for a few states. In continuous variable system, even evaluating entropy numerically is not an easy task since the…

Quantum Physics · Physics 2015-05-13 Xiao-yu Chen

We investigate quantum dynamical systems defined on a finite dimensional Hilbert space and subjected to an interaction with an environment. The rate of decoherence of initially pure states, measured by the increase of their von Neumann…

Quantum Physics · Physics 2009-11-10 Robert Alicki , Artur Lozinski , Prot Pakonski , Karol Zyczkowski

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…

Quantum Physics · Physics 2009-11-11 Francesc S. Roig

The heat flow between a quantum system and its reservoir is analyzed when initially both are in a separable thermal state and asymptotically approach a correlated equilibrium. General findings are illustrated for specific systems and…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Joachim Ankerhold , Jukka P. Pekola

Under which conditions do outcome probabilities of measurements possess a quantum-mechanical model? This kind of problem is solved here for the case of two dichotomic von Neumann measurements which can be applied repeatedly to a quantum…

Quantum Physics · Physics 2010-08-27 Tobias Fritz

Measurement is of central interest in quantum mechanics as it provides the link between the quantum world and the world of everyday experience. One of the features of the latter is its robust, objective character, contrasting the delicate…

Quantum Physics · Physics 2017-12-19 J. K. Korbicz , E. A. Aguilar , P. Ćwikliński , P. Horodecki

Long sequences of successive direct (projective) measurements or observations of a few "uninteresting" physical quantities of a quantum system may reveal indirect, but precise and unambiguous information on the values of some very…

Mathematical Physics · Physics 2015-06-04 Miguel Ballesteros , Martin Fraas , Jürg Fröhlich , Baptiste Schubnel

We introduce an ergotropy-based formulation of quantum thermodynamics, which provides a strong connection between average heat and von Neumann entropy. By adopting this formulation, we can reinterpret the infinitesimal average heat in terms…

Quantum Physics · Physics 2025-11-26 J. M. Z. Choquehuanca , P. A. C. Obando , M. S. Sarandy , F. M. de Paula

We show that, contrarily to the widespread belief, in quantum mechanics repeatable measurements are not necessarily described by orthogonal projectors--the customary paradigm of "observable". Nonorthogonal repeatability, however, occurs…

Quantum Physics · Physics 2007-05-23 F. Buscemi , G. M. D'Ariano , P. Perinotti

We investigate the effect of conditional null measurements on a quantum system and find a rich variety of behaviors. Specifically, quantum dynamics with a time independent $H$ in a finite dimensional Hilbert space are considered with…

Quantum Physics · Physics 2022-06-20 Quancheng Liu , Klaus Ziegler , David A. Kessler , Eli Barkai