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Fluctuation theorems impose fundamental bounds in the statistics of the entropy production, with the second law of thermodynamics being the most famous. Using information theory, we quantify the information of entropy production and find an…

Quantum Physics · Physics 2021-02-17 Domingos S. P. Salazar

Extending the quantum formulation of [Phys. Rev. X 3, 041003 (2013)] to a more general setting for studying the thermodynamics of information processing including initial correlations, we generalize the second law of thermodynamics to…

Quantum Physics · Physics 2025-11-13 Shou-I Tang , Emery Doucet , Akram Touil , Sebastian Deffner , Akira Sone

Even after over 150 years of discussion, the interpretation of the second law of thermodynamics continues to be a source of confusion and controversy in physics. This confusion has been accentuated by recent challenges to the second law and…

Statistical Mechanics · Physics 2015-06-24 T. Duncan , J. Semura

In this paper, we analyze the relationship between entropy and information in the context of the mixing process of two identical ideal gases. We will argue that entropy has a special information-based feature that is enfolded in the…

Quantum Physics · Physics 2015-06-26 Afshin Shafiee , Majid Karimi

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

Recent work using tools from quantum information theory has shown that at the nanoscale where quantum effects become prevalent, there is not one thermodynamical second law but many. Derivations of these laws assume that an experimenter has…

Quantum Physics · Physics 2018-12-19 Chris Perry , Piotr Ćwikliński , Janet Anders , Michał Horodecki , Jonathan Oppenheim

We prove the second law of thermodynamics and the nonequilibirum fluctuation theorem for pure quantum states.The entire system obeys reversible unitary dynamics, where the initial state of the heat bath is not the canonical distribution but…

Statistical Mechanics · Physics 2017-09-13 Eiki Iyoda , Kazuya Kaneko , Takahiro Sagawa

A microscopic definition of the thermodynamic entropy in an isolated quantum system must satisfy (i) additivity, (ii) extensivity and (iii) the second law of thermodynamics. We show that the diagonal entropy, which is the Shannon entropy in…

Statistical Mechanics · Physics 2015-03-30 Tatsuhiko N. Ikeda , Naoyuki Sakumichi , Anatoli Polkovnikov , Masahito Ueda

Statistical mechanics descriptions of the second law of thermodynamics generally imply point-like particles driven by a dissipative overall mechanism for their simultaneous time-evolution. As the number of involved particles grows larger,…

General Physics · Physics 2016-02-16 Hans R. Moser

Fluctuation theorems and the second law of thermodynamics are powerful relations constraining the behavior of out-of-equilibrium systems. While there exist generalizations of these relations to feedback controlled quantum systems, their…

Quantum Physics · Physics 2024-10-07 Kacper Prech , Patrick P. Potts

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

An essential role of information in microscopic thermodynamics (e.g. Maxwell's demon) opens a challenging question if there exists a formulation of the second law of thermodynamics based only on pure information ideas. Here, such a…

Statistical Mechanics · Physics 2022-04-29 Miroslav Holeček

We study thermodynamic limits when controllers operate with only partial observability of internal correlations in multipartite systems. Understanding the costs imposed by lack of information is crucial in settings where agents must act…

Statistical Mechanics · Physics 2025-09-25 Akihito Sudo

A new thermodynamic inequality is derived which leads to the maximum work that can be extracted from multi-heat baths with the assistance of discrete quantum feedback control. The maximum work is determined by the free-energy difference and…

Quantum Physics · Physics 2009-11-13 Takahiro Sagawa , Masahito Ueda

Landauer discussed the minimum energy necessary for computation and stated that erasure of information is accompanied by heat generation to the amount of kT ln2/bit. Modifying the above statement, we claim that erasure of information is…

chao-dyn · Physics 2009-10-31 Shunya Ishioka , Nobuko Fuchikami

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

In a previous paper [1] we considered the question, "What underlying property of nature is responsible for the second law?" A simple answer can be stated in terms of information: The fundamental loss of information gives rise to the second…

Statistical Mechanics · Physics 2012-02-21 T. L. Duncan , J. S. Semura

On the one hand, the dissipated heat of a thermodynamic work extraction process upper bounds the non-predictive information, which the associated system encodes about its environment. Thus, emergent information processing capabilities can…

Neurons and Cognition · Quantitative Biology 2020-09-10 Kai Ueltzhöffer

The second law of thermodynamics places a limitation into which states a system can evolve into. For systems in contact with a heat bath, it can be combined with the law of energy conservation, and it says that a system can only evolve into…

Quantum Physics · Physics 2015-11-20 Piotr Ćwikliński , Michał Studziński , Michał Horodecki , Jonathan Oppenheim

The Shannon information is shown to be different to the thermodynamic entropy, and indifferent to the Second Law of Thermodynamics.

Statistical Mechanics · Physics 2024-07-15 Phil Attard