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The classical thermodynamic laws fail to capture the behavior of systems with energy Hamiltonian which is an explicit function of the temperature. Such Hamiltonian arises, for example, in modeling information processing systems, like…

统计力学 · 物理学 2009-11-13 Ori Shental , Ido Kanter

In this contribution, the Gaussian channel is represented as an equivalent thermal system allowing to express its input-output mutual information in terms of thermodynamic quantities. This thermodynamic description of the mutual information…

信息论 · 计算机科学 2008-06-20 Ori Shental , Ido Kanter

Thermal operations are quantum channels that have taken a prominent role in deriving fundamental thermodynamic limitations in quantum systems. We show that these channels are uniquely characterized by a purely quantum information theoretic…

量子物理 · 物理学 2025-07-23 Seok Hyung Lie , Jeongrak Son , Paul Boes , Nelly H. Y. Ng , Henrik Wilming

Three different approaches to derive mutual information via thermodynamics are presented where the temperature-dependent energy is given by: (a) $\beta \mathcal{E} = -\ln[P(X,Y)]$, (b) $\beta \mathcal{E} =-\ln[P(Y|X)]$ or (c) $\beta…

统计力学 · 物理学 2010-03-24 Yitzhak Peleg , Hadar Efraim , Ori Shental , Ido Kanter

We use mutual information as a measure of the entanglement between 'physical' and thermo-field double degrees of freedom in field theories at finite temperature. We compute this "thermo-mutual information" in simple toy models: a quantum…

高能物理 - 理论 · 物理学 2016-03-22 Ian A. Morrison , Matthew M. Roberts

The asymptotic mutual information (MI) analysis for multiple-input multiple-output (MIMO) systems over double-scattering channels has achieved engaging results, but the convergence rates of the mean, variance, and the distribution of the MI…

信息论 · 计算机科学 2023-01-18 Xin Zhang , Shenghui Song

We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simulated by an amount of classical communication equal to the quantum mutual information of the measurement, if sufficient shared randomness is…

量子物理 · 物理学 2014-11-25 Mario Berta , Joseph M. Renes , Mark M. Wilde

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the second law of thermodynamics, for situations involving information processing. To this end, we consider an information reservoir (representing, e.g. a…

统计力学 · 物理学 2013-10-21 Sebastian Deffner , Christopher Jarzynski

Similar to the energy flowing process in traditional heat engines, information could be considered to flow in the communication systems with the form of energy and entropy. Combining the thermodynamic Carnot machine and the classical…

信息论 · 计算机科学 2022-03-21 Muyuo Ruan , Xiaohu Ge

Information thermodynamics relates the rate of change of mutual information between two interacting subsystems to their thermodynamics when the joined system is described by a bipartite stochastic dynamics satisfying local detailed balance.…

统计力学 · 物理学 2022-08-05 Emanuele Penocchio , Francesco Avanzini , Massimiliano Esposito

We present novel results that relate energy and information transfer with sensitivity to initial conditions in chaotic multi-dimensional Hamiltonian systems. We show the relation among Kolmogorov-Sinai entropy, Lyapunov exponents, and upper…

混沌动力学 · 物理学 2015-06-17 Ch. G. Antonopoulos , E. Bianco-Martinez , M. S. Baptista

A communication theory for a transmitter broadcasting to many receivers is presented. In this case energetic considerations cannot be neglected as in Shannon theory. It is shown that, when energy is assigned to the information bit,…

信息论 · 计算机科学 2007-07-16 Oded Kafri

In this letter, a novel communication paradigm for simultaneous wireless information and power transfer (SWIPT) is proposed, which leverages the thermal characteristics of electromagnetic signals. In particular, the proposed scheme exploits…

信息论 · 计算机科学 2024-03-27 Elio Faddoul , Yuan Guo , Christodoulos Skouroumounis , Ioannis Krikidis

Extending the quantum formulation of [Phys. Rev. X 3, 041003 (2013)] to a more general setting for studying the thermodynamics of information processing including initial correlations, we generalize the second law of thermodynamics to…

量子物理 · 物理学 2025-11-13 Shou-I Tang , Emery Doucet , Akram Touil , Sebastian Deffner , Akira Sone

In the present work we are studying a bosonic quantum field system at finite temperature, and at zero and non-zero chemical potential. For a simple spatial partition we derive the corresponding mutual information, a quantity that measures…

量子物理 · 物理学 2014-05-12 C. N. Gagatsos , A. I. Karanikas , G. I. Kordas

This thesis uses a quantity that is defined and justified by information theory -- mutual information -- to examine models of condensed matter systems. More precisely, it studies models which are made up out of ferromagnetically interacting…

量子物理 · 物理学 2013-03-19 Johannes Wilms

We study a hidden Markov process which is the result of a transmission of the binary symmetric Markov source over the memoryless binary symmetric channel. This process has been studied extensively in Information Theory and is often used as…

动力系统 · 数学 2015-09-11 Evgeny Verbitskiy

A many-body system, whether in contact with a large environment or evolving under complex dynamics, can typically be modeled as occupying the thermal state singled out by Jaynes' maximum entropy principle. Here, we find analogous…

量子物理 · 物理学 2025-08-07 Philippe Faist , Sumeet Khatri

We construct a generic model for a heat engine using information theory concepts, attributing irreversible energy dissipation to the information transmission channels. Using several forms for the channel capacity, classical and quantum, we…

统计力学 · 物理学 2015-05-18 Yun Zhou , Dvira Segal

In a thermodynamic process with measurement and feedback, the second law of thermodynamics is no longer valid. In its place, various second-law-like inequalities have been advanced that each incorporate a distinct additional term accounting…

统计力学 · 物理学 2015-06-22 Jordan M. Horowitz , Henrik Sandberg
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