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Key to biological success, the requisite variety that confronts an adaptive organism is the set of detectable, accessible, and controllable states in its environment. We analyze its role in the thermodynamic functioning of information…

Statistical Mechanics · Physics 2017-04-26 Alexander B. Boyd , Dibyendu Mandal , James P. Crutchfield

Maxwell's demon principle of extracting valuable resources through measuring fluctuations in the system already stimulated modern quantum physics. In contrast to classical physics, a free coupling to a probe and its free measurement…

Quantum Physics · Physics 2023-03-03 Atirach Ritboon , Radim Filip

We investigate fundamental limits on the performance of information processing systems from the perspective of information thermodynamics. We first extend the thermodynamic uncertainty relation (TUR) to a subsystem. Specifically, for a…

Statistical Mechanics · Physics 2024-01-04 Tomohiro Tanogami , Tan Van Vu , Keiji Saito

We study the coupled particle and energy transport in a prototype model of interacting one-dimensional system: the disordered hard-point gas, for which numerical data suggest that the thermoelectric figure of merit ZT diverges with the…

Statistical Mechanics · Physics 2010-10-26 Keiji Saito , Giuliano Benenti , Giulio Casati

We introduce a Maxwell demon which generates many-body entanglement robustly against bit-flip noises, which allows us to obtain quantum advantage. Adopting the protocol of the voter model used for opinion dynamics approaching consensus, the…

Statistical Mechanics · Physics 2022-04-13 Sungguen Ryu , Rosa López , Raúl Toral

We study microscopic engines that use a single active particle as their "working medium". Part of the energy required to drive the directed motion of the particle can be recovered as work, even at constant temperature. A wide class of…

Soft Condensed Matter · Physics 2022-01-20 Thomas Speck

Despite the wide usage of information as a concept in science, we have yet to develop a clear & concise scientific definition. This paper is aimed at laying the foundations for a new theory concerning the mechanics of information alongside…

General Physics · Physics 2017-07-13 Kiyam Lin , SongLing Lin

Information based thermodynamic logic is revisited. It consists of two parts: Part A applies the modern theory of probability in which an arbitrary convex function \phi is employed as an analytic "device" to express information as…

Statistical Mechanics · Physics 2023-12-07 Bing Miao , Hong Qian , Yong-Shi Wu

A stationary stochastic geometric model is proposed for analyzing the data compression method used in one-bit compressed sensing. The data set is an unconstrained stationary set, for instance all of $\mathbb{R}^n$ or a stationary Poisson…

Probability · Mathematics 2018-10-16 François Baccelli , Eliza O'Reilly

The Szil\'ard engine is a mechanism (akin to Maxwell's demon) for converting information into energy, which seemingly violates the second law of thermodynamics. Originally a classical thought experiment, it was extended to a quantized…

Quantum Physics · Physics 2022-08-29 Paul Davies , Logan Thomas , George Zahariade

Motivated by the recent proposed models of the information engine [D. Mandal and C. Jarzynski, Proc. Natl. Acad. Sci. 109, 11641 (2012)] and the information refrigerator [D. Mandal, H. T. Quan, and C. Jarzynski, Phys. Rev. Lett. 111, 030602…

Statistical Mechanics · Physics 2015-06-30 Yuansheng Cao , Zongping Gong , H. T. Quan

We use continuous weak measurements of a driven superconducting qubit to experimentally study the information dynamics of a quantum Maxwell's demon. We show how information gained by a demon who can track single quantum trajectories of the…

Quantum Physics · Physics 2018-07-25 M. Naghiloo , J. J. Alonso , A. Romito , E. Lutz , K. W. Murch

The remarkable progress of artificial intelligence (AI) has revealed the enormous energy demands of modern digital architectures, raising deep concerns about sustainability. In stark contrast, the human brain operates efficiently on only…

Biological Physics · Physics 2025-11-03 Toshio Yanagida , Keisuke Fujita , Mitsuhiro Iwaki

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…

Quantum Physics · Physics 2014-05-12 C. N. Gagatsos , A. I. Karanikas , G. I. Kordas

The study of feedback control inspired by Maxwell's demon is central to the understanding of the relationship between thermodynamics and information. In this paper, we establish fundamental lower limits on the work costs of system…

Quantum Physics · Physics 2026-03-10 Kaiyuan Ji , Gilad Gour , Mark M. Wilde

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi

We derive a bound on the efficiency of thermal engines that can be sharper than Carnot's limit. It is a function of statistical correlations between the engine internal state and Hamiltonian, can be saturated even in finite-time cycles, and…

Quantum Physics · Physics 2026-04-14 Anna Gabetti , Fabrizio Dolcini , Davide Girolami

Heat engines and information engines have each historically served as motivating examples for the development of thermodynamics. While these two types of systems are typically thought of as two separate kinds of machines, recent empirical…

Statistical Mechanics · Physics 2024-12-30 Matthew P. Leighton , Jannik Ehrich , David A. Sivak

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 constraint relation for efficiency and power is crucial to design optimal heat engines operating within finite time. We find a universal constraint between efficiency and output power for heat engines operating in the low-dissipation…

Quantum Physics · Physics 2018-10-09 Yu-Han Ma , Dazhi Xu , Hui Dong , Chang-Pu Sun