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Thermodynamics and information have intricate inter-relations. The justification of the fact that information is physical, is done by inter-linking information and thermodynamics - through Landauer's principle. This modern approach towards…

Quantum Physics · Physics 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein

We present the minimal energy costs for the measurement and the information erase, using only the Helmholtz free energy and the entanglement of formation. The entanglement of formation appears in the form of difference which indicates the…

Quantum Physics · Physics 2013-11-07 Hiroyasu Tajima

Thermodynamics is based on the notions of energy and entropy. While energy is the elementary quantity governing physical dynamics, entropy is the fundamental concept in information theory. In this work, starting from first principles, we…

Statistical Mechanics · Physics 2017-10-25 Bernhard Altaner

According to the Landauer principle, any logically irreversible process accompanies entropy production, which results in heat dissipation in the environment. Erasing of information, one of the primary logically irreversible processes, has a…

Quantum Physics · Physics 2025-08-05 Pritam Chattopadhyay , Avijit Misra , Tanmoy Pandit , Goutam Paul

Phase transitions impose topological constraints on thermodynamic state variables, masking energetic fluctuations at the phase boundary. This constraint is most apparent in melting systems, where temperature remains pinned despite continued…

Atmospheric and Oceanic Physics · Physics 2026-02-09 Zhiang Xie

Landauer's bound is the minimum thermodynamic cost for erasing one bit of information. As this bound is achievable only for quasistatic processes, finite-time operation incurs additional energetic costs. We find a tight finite-time…

Statistical Mechanics · Physics 2022-10-05 Jae Sung Lee , Sangyun Lee , Hyukjoon Kwon , Hyunggyu Park

We present a general framework for determining the power-efficiency trade-off relations across arbitrary thermal machines, addressing the lack of unified optimization results stemming from their diverse functionalities (e.g., heat engines,…

Statistical Mechanics · Physics 2025-11-20 Yu-Han Ma , Cong Fu

Landauer's principle, often regarded as the foundation of the thermodynamics of information processing, holds that any logically irreversible manipulation of information, such as the erasure of a bit or the merging of two computation paths,…

Classical Physics · Physics 2011-01-11 Charles H. Bennett

The full optimization of a quantum heat engine requires operating at high power, high efficiency, and high stability (i.e. low power fluctuations). However, these three objectives cannot be simultaneously optimized - as indicated by the…

Quantum Physics · Physics 2023-05-04 Paolo Andrea Erdman , Alberto Rolandi , Paolo Abiuso , Martí Perarnau-Llobet , Frank Noé

Information flow between subsystems is a central concept in information thermodynamics, which provides the second-law-like inequalities for subsystems. This paper discusses the geometric decomposition of information flow, which was…

Statistical Mechanics · Physics 2025-12-30 Sosuke Ito , Yoh Maekawa , Ryuna Nagayama , Andreas Dechant , Kohei Yoshimura

Landauer's limit on heat dissipation during information erasure is critical as devices shrink, requiring optimal pure-state preparation to minimise errors. However, Nernst's third law states this demands infinite resources in energy, time,…

We establish universal relations between pattern formation and dissipation with a geometric approach to nonequilibrium thermodynamics of deterministic reaction-diffusion systems. We first provide a way to systematically decompose the…

Statistical Mechanics · Physics 2026-05-04 Ryuna Nagayama , Kohei Yoshimura , Artemy Kolchinsky , Sosuke Ito

Thermodynamic principles governing energy and information are important tools for a deeper understanding and better control of quantum systems. In this work, we experimentally investigate the interplay of the thermodynamic costs and…

Thermodynamic systems that preserve information against thermal fluctuations face a tradeoff distinct from transmission (Shannon) or erasure (Landauer). We formalize the preservation problem by defining the preservation stiffness…

Statistical Mechanics · Physics 2026-04-14 Amadeus Brandes

In this paper, we analyze the fundamental trade-off between information transfer and power gain by means of an information-theoretic framework in communications circuits. This analysis is of interest as many of today's applications require…

Information Theory · Computer Science 2014-04-22 Fabian Steiner , Amine Mezghani , Josef A. Nossek

Recently, in a letter to Nature, del Rio et al.8 exploited the quantum viewpoint of the old but well-known thought experiment of Maxwell's demon, a tiny "man-machine" that processes only a single unit of information. In their work, they…

Information Theory · Computer Science 2013-01-21 Alexandre de Castro

In this paper, we consider a model of two-level quantum heat engine to investigate the explicit analytic expression for the thermodynamics quantities in different condition under the finite-time operation. In this engine, the working…

Statistical Mechanics · Physics 2022-07-05 Yigermal Bassie , Tibebe Birhanu , Yoseph Abebe , Admasu Abawari

We review theory of information thermodynamics which incorporates effects of measurement and feedback into nonequilibrium thermodynamics of a small system, and discuss how the second law of thermodynamics should be extended for such…

Statistical Mechanics · Physics 2012-02-07 Takahiro Sagawa , Masahito Ueda

While Landauer's Principle sets a lower bound for the work required for a computation, that work is recoverable for efficient computations. However, practical physical computers, such as modern digital computers or biochemical systems, are…

Statistical Mechanics · Physics 2021-04-27 Alexander B. Boyd , Paul M. Riechers , Gregory W. Wimsatt , James P. Crutchfield , Mile Gu

For a general thermodynamic system described as a Markov process, we prove a general lower bound for dissipation in terms of the square of the heat current, thus establishing that nonvanishing current inevitably implies dissipation. This…

Statistical Mechanics · Physics 2016-11-02 Naoto Shiraishi , Keiji Saito , Hal Tasaki