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We develop a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities, such as free energy, energy, statistical mechanical entropy, and specific heat, into algorithmic…

Information Theory · Computer Science 2009-04-09 Kohtaro Tadaki

The thermodynamic uncertainty relation quantifies a trade-off between the relative fluctuations of trajectory currents and the thermodynamic cost, indicating that the current precision is fundamentally constrained by entropy production. In…

Quantum Physics · Physics 2026-03-16 Ryotaro Honma , Tan Van Vu

Self-organizing systems consume energy to generate internal order. The concept of thermodynamic efficiency, drawing from statistical physics and information theory, has previously been proposed to characterise a change in control parameter…

Adaptation and Self-Organizing Systems · Physics 2025-12-12 Qianyang Chen , Nihat Ay , Mikhail Prokopenko

Information processing at the molecular scale is limited by thermal fluctuations. This can cause undesired consequences in copying information since thermal noise can lead to errors that can compromise the functionality of the copy. For…

Subcellular Processes · Quantitative Biology 2015-12-16 Pablo Sartori , Simone Pigolotti

Do quantum correlations lead to better performance with respect to several different systems working independently? For quantum thermal machines, the question is whether a working medium (WM) made of $N$ constituents exhibits better…

We report on a lossless information engine that converts nearly all available information from an error-free feedback protocol into mechanical work. Combining high-precision detection at resolution of 1 nm with ultrafast feedback control,…

Statistical Mechanics · Physics 2018-02-07 Govind Paneru , Dong Yun Lee , Tsvi Tlusty , Hyuk Kyu Pak

Quantum correlation, or entanglement, is now believed to be an indispensable physical resource for certain tasks in quantum information processing, for which classically correlated states cannot be useful. Besides information processing,…

Quantum Physics · Physics 2009-11-10 K. Maruyama , F. Morikoshi , V. Vedral

The thermodynamic uncertainty relation expresses a universal trade-off between precision and entropy production, which applies in its original formulation to current observables in steady-state systems. We generalize this relation to…

Statistical Mechanics · Physics 2018-12-06 Timur Koyuk , Udo Seifert , Patrick Pietzonka

In Szilard's engine, measurement and feedback allows to extract work from an equilibrium environment, a process otherwise forbidden by the laws of thermodynamics. Recent theoretical developments have established fluctuation theorems and…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 David Barker , Sebastian Lehmann , Kimberly A. Dick , Peter Samuelsson , Ville Maisi , Patrick P. Potts

In recent years, the unified theory of information and thermodynamics has been intensively discussed in the context of stochastic thermodynamics. The unified theory reveals that information theory would be useful to understand…

Statistical Mechanics · Physics 2018-07-23 Sosuke Ito

We address a new setting where the second law is under question: thermalizations in a quantum superposition of causal orders, enacted by the so-called quantum switch. This superposition has been shown to be associated with an increase in…

Quantum Physics · Physics 2023-10-19 Xiangjing Liu , Daniel Ebler , Oscar Dahlsten

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…

Quantum Physics · Physics 2018-11-13 Matheus Capela , Mikel Sanz , Enrique Solano , Lucas C. Céleri

The ability to store information is of fundamental importance to any computer, be it classical or quantum. To identify systems for quantum memories which rely, analogously to classical memories, on passive error protection…

Quantum Physics · Physics 2015-05-14 Stefano Chesi , Beat Röthlisberger , Daniel Loss

We investigate a mutual relationship between information and energy during early phase of LTP induction and maintenance in a large-scale system of mutually coupled dendritic spines, with discrete internal states and probabilistic dynamics,…

Neurons and Cognition · Quantitative Biology 2024-08-07 Jan Karbowski , Paulina Urban

Information about external world is delivered to the brain in the form of structured in time spike trains. During further processing in higher areas, information is subjected to a certain condensation process, which results in formation of…

Neurons and Cognition · Quantitative Biology 2015-03-17 Alexander K. Vidybida

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 theory and the framework of information dynamics have been used to provide tools to characterise complex systems. In particular, we are interested in quantifying information storage, information modification and information…

Information Theory · Computer Science 2013-03-25 Oliver Obst , Joschka Boedecker , Benedikt Schmidt , Minoru Asada

The information-thermodynamics link is revisited, going back to the analysis of Szilard's engine. It is argued that instead of equivalence rather complementarity of physical entropy and information theoretical one is a correct concept.…

Quantum Physics · Physics 2014-06-24 Robert Alicki

We review recent work on the foundations of thermodynamics in the light of quantum information theory. We adopt a resource-theoretic perspective, wherein thermodynamics is formulated as a theory of what agents can achieve under a particular…

Mandal and Jarzynski have proposed a fully autonomous information heat engine, consisting of a demon, a mass and a memory register interacting with a thermal reservoir. This device converts thermal energy into mechanical work by writing…

Statistical Mechanics · Physics 2023-01-24 Zhiyu Cao , Ruicheng Bao , Jiming Zheng , Zhonghuai Hou