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We develop a statistical model of microscopic stochastic deviation from classical mechanics based on a stochastic processes with a transition probability that is assumed to be given by an exponential distribution of infinitesimal stationary…

Quantum Physics · Physics 2013-12-13 Agung Budiyono

We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We show that the weak value can be regarded as a…

Quantum Physics · Physics 2007-05-23 Yakir Aharonov , Alonso Botero

The conditional entropy power inequality is a fundamental inequality in information theory, stating that the conditional entropy of the sum of two conditionally independent vector-valued random variables each with an assigned conditional…

Quantum Physics · Physics 2019-02-01 Giacomo De Palma

We consider an ensemble of indistinguishable quantum machines and show that quantum statistical effects can give rise to a genuine quantum enhancement of the collective thermodynamic performance. When multiple indistinguishable bosonic work…

The universal quantum work relation connects a functional of an arbitrary observable averaged over the forward process to the free energy difference and another functional averaged over the time-reversed process. Here, we ask the question…

Quantum Physics · Physics 2012-04-18 Arun Kumar Pati , Mamata Sahoo , Biswajit Pradhan

Energy is at best defined quasilocally in general relativity. Quasilocal energy definitions depend on the conditions one imposes on the boundary Hamiltonian, i.e., how a finite region of spacetime is "isolated". Here, we propose a method to…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Nezihe Uzun

Measurements and feedback are essential in the control of any device operating at the quantum scale and exploiting the features of quantum physics. As the number of quantum components grows, it becomes imperative to consider the energetic…

Quantum Physics · Physics 2018-09-11 Kais Abdelkhalek , Yoshifumi Nakata , David Reeb

An operational approach to quantum state reduction, the state change of the measured system caused by a measurement of an observable conditional upon the outcome of measurement, is founded without assuming the projection postulate in any…

Quantum Physics · Physics 2011-08-04 Masanao Ozawa

The aim of this paper is to analyze the reconstructability of quantum mechanics from classical conditional probabilities representing measurement outcomes conditioned on measurement choices. We will investigate how the quantum mechanical…

Quantum Physics · Physics 2019-06-13 Gábor Hofer-Szabó

Quantum mechanical expectation values for subsets can differ substantially from those for the whole ensemble. This implies that the effect of interactions between two systems can be altered substantially by conditioning. Here we…

Quantum Physics · Physics 2020-07-01 Yiheng Duan , Mahdi Hosseini , Kristin M. Beck , Vladan Vuletić

We address how one can empirically infer properties of quantum states generated by dynamics involving measurements. Our focus is on many-body settings where the number of measurements is extensive, making brute-force approaches based on…

Quantum Physics · Physics 2024-07-19 Max McGinley

A quantum-controlled device may produce a scenario in which two general quantum operations can be performed in such a way that it is not possible to associate a definite order for the operations application. Such an indefinite causal order…

Quantum Physics · Physics 2023-02-21 Pedro R. Dieguez , Vinicius F. Lisboa , Roberto M. Serra

Quantum thermodynamics is an emerging research field aiming to extend standard thermodynamics and non-equilibrium statistical physics to ensembles of sizes well below the thermodynamic limit, in non-equilibrium situations, and with the full…

Quantum Physics · Physics 2017-07-05 Sai Vinjanampathy , Janet Anders

Thermal channels -- the free processes allowed in the resource theory of quantum thermodynamics -- are generalised to thermal instruments, which we interpret as implementing thermodynamically free quantum measurements; a Maxwellian demon…

Quantum Physics · Physics 2023-01-04 M. Hamed Mohammady

In the conventional two-point measurement scheme of quantum thermodynamics, quantum coherence is destroyed by the first measurement. But as we know the coherence really plays an important role in the quantum thermodynamics process, and how…

Quantum Physics · Physics 2018-05-30 Bao-Ming Xu , Jian Zou , Li-Sha Guo , Xiang-Mu Kong

The problem of defining the average kinetic energy of statistical systems is addressed. The conditions of applicability for the formula, relating the average kinetic energy with the mass derivative of the internal energy, are analysed. It…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

Resource theories are a generic approach used to manage any valuable resource, such as entanglement, purity, and asymmetry. Such frameworks are characterized by two main elements: a set of predefined (free) operations and states, that one…

Quantum Physics · Physics 2019-05-01 Nelly Ng , Mischa P. Woods

We propose a definition of externally measurable quantum work in driven systems. Work is given as a quantum observable on a control device which is forcing the system and can be determined without knowledge of the system Hamiltonian…

Quantum Physics · Physics 2020-10-07 Konstantin Beyer , Kimmo Luoma , Walter T. Strunz

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…

Quantum Physics · Physics 2009-11-06 Masanao Ozawa

At non-zero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for…

Quantum Physics · Physics 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin