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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…

Statistical Mechanics · Physics 2015-05-13 Armen E. Allahverdyan , Dominik Janzing , Guenter Mahler

Identifying the origin of nonequilibrium characteristics in a generic interacting system having multiple degrees of freedom is a challenging task. In this context, information theoretic measures such as mutual information and related…

Statistical Mechanics · Physics 2025-07-24 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee

The capacity to integrate information is a prominent feature of biological and cognitive systems. Integrated Information Theory (IIT) provides a mathematical approach to quantify the level of integration in a system, yet its computational…

Neurons and Cognition · Quantitative Biology 2020-08-31 Miguel Aguilera , Ezequiel Di Paolo

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.…

Statistical Mechanics · Physics 2022-08-05 Emanuele Penocchio , Francesco Avanzini , Massimiliano Esposito

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…

Statistical Mechanics · Physics 2026-03-12 Tenta Tani

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…

Statistical Mechanics · Physics 2018-07-23 Sosuke Ito , Takahiro Sagawa

This paper studies the capacity of molecular communications in fluid media, where the information is encoded in the number of transmitted molecules in a time-slot (amplitude shift keying). The propagation of molecules is governed by random…

Information Theory · Computer Science 2016-04-29 Siavash Ghavami , Raviraj Adve , Farshad Lahouti

We investigate the nature of information flow in turbulence from an information-thermodynamic viewpoint. For the fully developed three-dimensional fluid turbulence described by the fluctuating Navier-Stokes equation, we prove that…

Statistical Mechanics · Physics 2023-10-10 Tomohiro Tanogami , Ryo Araki

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…

Statistical Mechanics · Physics 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

The advantages of quantum information processing are in many cases obtained as consequences of quantum interactions, especially for computational tasks where two-qubit interactions are essential. In this work, we establish the framework of…

Quantum Physics · Physics 2019-09-11 Sudipto Singha Roy , Joonwoo Bae

There is a vast body of recent literature on the reliability of communication through noisy channels, the recovery of community structures in the stochastic block model, the limiting behavior of the free entropy in spin glasses and the…

Combinatorics · Mathematics 2022-07-25 Konstantinos Panagiotou , Matija Pasch

The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns…

Mathematical Physics · Physics 2012-01-24 Nikolaj A. Veniaminov

Recent experiments have indicated that many biological systems self-organise near their critical point, which hints at a common design principle. While it has been suggested that information transmission is optimized near the critical…

Statistical Mechanics · Physics 2021-02-03 Matthijs Meijers , Sosuke Ito , Pieter Rein ten Wolde

Information must take up space, must weigh, and its flux must be limited. Quantum limits on communication and information storage leading to these conclusions are here described. Quantum channel capacity theory is reviewed for both steady…

Quantum Physics · Physics 2015-06-26 Jacob D. Bekenstein , Marcelo Schiffer

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,…

Information Theory · Computer Science 2007-07-16 Oded Kafri

"Bounds on information combining" are entropic inequalities that determine how the information (entropy) of a set of random variables can change when these are combined in certain prescribed ways. Such bounds play an important role in…

Quantum Physics · Physics 2019-08-27 Christoph Hirche , David Reeb

Mutual information is a theoretically grounded metric for quantifying cellular signaling pathways. However, its measurement demands characterization of both input and output distributions, limiting practical applications. Here, we present…

Quantitative Methods · Quantitative Biology 2025-07-08 Kento Nakamura , Hajime Fukuoka , Akihiko Ishijima , Tetsuya J. Kobayashi

Researchers have proposed formal definitions of quantitative information flow based on information theoretic notions such as the Shannon entropy, the min entropy, the guessing entropy, belief, and channel capacity. This paper investigates…

Cryptography and Security · Computer Science 2011-12-20 Hirotoshi Yasuoka , Tachio Terauchi

We discuss the problem of the information transfer (exchange of states configuration) between two interacting quantum systems along their evolution in time. We consider the specific case of two modes of the electromagnetic field with…

Quantum Physics · Physics 2009-10-31 M. C. de Oliveira , S. S. Mizrahi , V. V. Dodonov

We study an interacting particle system whose dynamics depends on an interacting random environment. As the number of particles grows large, the transition rate of the particles slows down (perhaps because they share a common resource of…

Probability · Mathematics 2009-02-16 Charles Bordenave , David McDonald , Alexandre Proutiere
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