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In a thermodynamic process with measurement and feedback, the second law of thermodynamics is no longer valid. In its place, various second-law-like inequalities have been advanced that each incorporate a distinct additional term accounting…

Statistical Mechanics · Physics 2015-06-22 Jordan M. Horowitz , Henrik Sandberg

We derive integral quantum fluctuation theorems and quantum Jarzynski equalities for a feedback-controlled system and a memory which registers outcomes of the measurement. The obtained equalities involve the information content, which…

Statistical Mechanics · Physics 2014-01-30 Ken Funo , Yu Watanabe , Masahito Ueda

We investigate a measurement-feedback process of repeated operations with time delay. During a finite-time interval, measurement on the system is performed and the feedback protocol derived from the measurement outcome is applied with time…

Statistical Mechanics · Physics 2020-01-08 Chulan Kwon , Jaegon Um , Hyunggyu Park

We investigate thermodynamics of feedback processes driven by measurement. Regarding system and memory device as a composite system, mutual information as a measure of correlation between the two constituents contributes to the entropy of…

Statistical Mechanics · Physics 2017-04-12 Chulan Kwon

We derive a general information-theoretic equality for a system undergoing two projective measurements separated by a general temporal evolution. The equality implies the non-negativity of the mutual information between the measurement…

Quantum Physics · Physics 2015-06-04 Vlatko Vedral

Information dynamics is an emerging description of information processing in complex systems which describes systems in terms of intrinsic computation, identifying computational primitives of information storage and transfer. In this paper…

Statistical Mechanics · Physics 2018-10-03 Richard E. Spinney , Joseph T. Lizier , Mikhail Prokopenko

The relation between the work performed to a system and the change of its free energy during a certain process is important in nonequilibrium statistical mechanics. In particular, the work relation with measurement and feedback control has…

Statistical Mechanics · Physics 2018-11-26 Hideyuki Miyahara , Kazuyuki Aihara

Feedback can be utilized to convert information into useful work, making it an effective tool for increasing the performance of thermodynamic engines. Using feedback reversibility as a guiding principle, we devise a method for designing…

Statistical Mechanics · Physics 2015-06-03 Jordan M. Horowitz , Juan M. R. Parrondo

The Jarzynski equality is generalized to situations in which nonequilibrium systems are subject to a feedback control. The new terms that arise as a consequence of the feedback describe the mutual information content obtained by measurement…

Statistical Mechanics · Physics 2015-05-13 Takahiro Sagawa , Masahito Ueda

Thermodynamics establishes that information acquired through measurement can be converted into work, as exemplified by Maxwell's demon and Szilard engines. Most experimental realizations of information engines, however, implicitly assume…

Soft Condensed Matter · Physics 2026-03-09 Lokesh Muruga , Felix Ginot , Sarah A. M. Loos , Clemens Bechinger

Work is a process-based quantity, and its measurement typically requires interaction with a measuring device multiple times. While classical systems allow for non-invasive and accurate measurements, quantum systems present unique challenges…

Quantum Physics · Physics 2025-06-17 Giulia Rubino , Karen V. Hovhannisyan , Paul Skrzypczyk

Connections between information theory and thermodynamics have proven to be very useful to establish bounding limits for physical processes. Ideas such as Landauer's erasure principle and information assisted work extraction have greatly…

Quantum Physics · Physics 2013-12-17 Kaonan Micadei , Roberto M. Serra , Lucas C. Celeri

We obtain generalizations of the Kelvin-Planck, Clausius, and Carnot statements of the second law of thermodynamics, for situations involving information processing. To this end, we consider an information reservoir (representing, e.g. a…

Statistical Mechanics · Physics 2013-10-21 Sebastian Deffner , Christopher Jarzynski

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

Statistical Mechanics · Physics 2014-11-17 Andre C. Barato , Udo Seifert

We investigate fundamental connections between thermodynamics and quantum information theory. First, we show that the operational framework of thermal operations is nonequivalent to the framework of Gibbs-preserving maps, and we comment on…

Quantum Physics · Physics 2016-07-13 Philippe Faist

Renormalization is an essential technique in field-theoretic descriptions of natural phenomena, where the absence of a UV-complete description yields an abundance of divergent quantities. While the renormalization prescription has been…

High Energy Physics - Theory · Physics 2025-11-14 Brenden Bowen , Albert Farah , Spasen Chaykov , Nishant Agarwal

We provide a unified thermodynamic formalism describing information transfers in autonomous as well as nonautonomous systems described by stochastic thermodynamics. We demonstrate how information is continuously generated in an auxiliary…

Statistical Mechanics · Physics 2014-08-06 Jordan M. Horowitz , Massimiliano Esposito

An information engine based on a two level system in contact with a thermal reservoir is studied analytically. The model incorporates delay time between the measurement of the state of the system and the feedback. The engine efficiency and…

Statistical Mechanics · Physics 2023-12-27 Kiran V , Toby Joseph

We investigate the information distribution among different entities in the weak measurements protocol. Focusing on multilevel, decaying systems under continuous (no-click) monitoring, we derive exact, conservation-type information…

Quantum Physics · Physics 2026-01-30 Yusef Maleki , Luis D. Zambrano Palma , M. Suhail Zubairy

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
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