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A central concept in the connection between physics and information theory is entropy, which represents the amount of information extracted from the system by the observer performing measurements in an experiment. Indeed, Jaynes' principle…

量子物理 · 物理学 2018-11-13 Matheus Capela , Mikel Sanz , Enrique Solano , Lucas C. Céleri

We study a dynamical system with time dependent Hamiltonian by numerical experiments so as to find a relation between thermodynamics and chaotic nature of the system. Excess information loss, defined newly based on Lyapunov analysis, is…

chao-dyn · 物理学 2009-10-31 S. Sasa , T. S. Komatsu

From the Horowitz-Esposito stochastic thermodynamical description of information flows in dynamical systems [J. M. Horowitz and M. Esposito, Phys. Rev. X4, 031015 (2014)], it is known that while the second law of thermodynamics is satisfied…

统计力学 · 物理学 2016-03-23 Carlo Cafaro , Sean Alan Ali , Adom Giffin

Energy transfer and information transmission are two fundamental aspects of nature. They are seemingly unrelated, while recent findings suggest that a deep connection between them is to be discovered. This amounts to asking: Can we phrase…

量子物理 · 物理学 2025-02-07 Chung-Yun Hsieh

This paper discusses the thermodynamic irreversibility realized in high-dimensional Hamiltonian systems with a time-dependent parameter. A new quantity, the irreversible information loss, is defined from the Lyapunov analysis so as to…

统计力学 · 物理学 2009-10-31 Shin-ichi Sasa , Teruhisa S. Komatsu

For sensory networks, we determine the rate with which they acquire information about the changing external conditions. Comparing this rate with the thermodynamic entropy production that quantifies the cost of maintaining the network, we…

统计力学 · 物理学 2013-04-08 A. C. Barato , D Hartich , U. Seifert

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

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

统计力学 · 物理学 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

We consider Hamiltonian quantum systems with energy bandwidth \Delta E and show that each measurement that determines the time up to an error \Delta t generates at least the entropy (\hbar/(\Delta t \Delta E))^2/2. Our result describes…

量子物理 · 物理学 2007-05-23 Dominik Janzing , Thomas Beth

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

Modeling communication channels as thermal systems results in Hamiltonians which are an explicit function of the temperature. The first two authors have recently generalized the second thermodynamic law to encompass systems with…

统计力学 · 物理学 2008-07-29 Ido Kanter , Ori Shental , Hadar Efraim , Nadav Yacov

A basic task of information processing is information transfer (flow). Here we study a pair of Brownian particles each coupled to a thermal bath at temperature $T_1$ and $T_2$, respectively. The information flow in such a system is defined…

统计力学 · 物理学 2015-05-13 Armen E. Allahverdyan , Dominik Janzing , Guenter Mahler

In this work, we consider an upper bound for the quantum mutual information in thermal states of a bipartite quantum system. This bound is related with the interaction energy and logarithm of the partition function of the system. We…

量子物理 · 物理学 2015-03-20 Aleksey Fedorov , Evgeny Kiktenko

We extend the principles of information thermodynamics to study energy and information exchanges between coupled systems composed of one part undergoing a Markov jump process and another underdamped diffusion. We derive integral fluctuation…

统计力学 · 物理学 2024-12-05 Ashwin Gopal , Nahuel Freitas , Massimiliano Esposito

Transmitting energy and information are two essential aspects of nature. Recent findings suggest they are closely related, while a quantitative equivalence between them is still unknown. This thus motivates us to ask: Can information…

量子物理 · 物理学 2025-02-07 Chung-Yun Hsieh

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 this article, we review a general theoretical framework of thermodynamics of information on the basis of Bayesian networks. This framework can describe a broad class of nonequilibrium dynamics of multiple interacting systems with complex…

统计力学 · 物理学 2018-07-23 Sosuke Ito , Takahiro Sagawa

We theoretically investigate how information flows when two particles interact with each other. Understanding the physical mechanisms of directional information flow is crucial for advancing information thermodynamics and stochastic…

统计力学 · 物理学 2026-03-12 Tenta Tani

We experimentally probe the interplay of the quantum switch with the laws of thermodynamics. The quantum switch places two channels in a superposition of orders and may be applied to thermalizing channels. Quantum-switching thermal channels…

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