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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

In traditional thermodynamical and statistical-mechanical approaches one has (some) detailed knowledge of the principles governing the microdynamics of a system. However in many instances we may not have a Hamiltonian or good information…

Statistical Mechanics · Physics 2007-05-23 David Ford

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

Thermodynamics is commonly presented as a theory of macroscopic systems in stable equilibrium, built upon assumptions of extensivity and scaling with system size. In this paper, we present a universal formulation of the elementary…

Quantum Physics · Physics 2026-03-26 Gian Paolo Beretta

The laws of thermodynamics, despite their wide range of applicability, are known to break down when systems are correlated with their environments. Here, we generalize thermodynamics to physical scenarios which allow presence of…

Quantum Physics · Physics 2018-02-06 Manabendra Nath Bera , Arnau Riera , Maciej Lewenstein , Andreas Winter

How much work can be extracted from a heat bath using a thermal machine? The study of this question has a very long tradition in statistical physics in the weak-coupling limit, applied to macroscopic systems. However, the assumption that…

Quantum Physics · Physics 2015-06-17 R. Gallego , A. Riera , J. Eisert

The minimum amount of thermodynamic work required in order to implement a quantum computation or a quantum state transformation can be quantified using frameworks based on the resource theory of thermodynamics, deeply rooted in the works of…

Quantum Physics · Physics 2026-01-29 Philippe Faist

Several recent results on thermodynamics have been obtained using the tools of quantum information theory and resource theories. So far, the resource theories utilised to describe thermodynamics have assumed the existence of an infinite…

Quantum Physics · Physics 2017-11-16 Carlo Sparaciari , Jonathan Oppenheim , Tobias Fritz

We present quantitative relations between work and information that are valid both for finite sized and internally correlated systems as well in the thermodynamical limit. We suggest work extraction should be viewed as a game where the…

Quantum Physics · Physics 2015-05-13 Oscar C. O. Dahlsten , Renato Renner , Elisabeth Rieper , Vlatko Vedral

This paper is a non-technical, informal presentation of our theory of the second law of thermodynamics as a law that is independent of statistical mechanics and that is derivable solely from certain simple assumptions about adiabatic…

Mathematical Physics · Physics 2009-10-31 Elliott H. Lieb , Jakob Yngvason

We revisit the problem of work extraction from a system in contact with a heat bath to a work storage system, and the reverse problem of state formation from a thermal system state in single-shot quantum thermodynamics. A physically…

Quantum Physics · Physics 2017-12-18 Shang-Yung Wang

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

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…

Generalized Probabilistic Theories (GPTs) provide a unified framework for describing probabilistic physical theories, encompassing classical and quantum theories as well as hypothetical theories beyond quantum mechanics. Since most GPTs are…

Quantum Physics · Physics 2026-05-14 Koki Ono , Shun Umekawa , Hiroyasu Tajima

We present a new proposal for distinguishing heat from work based on a control-theoretic observability decomposition. We derive a Hermitian operator representing instantaneous dissipation of observable energy, and suggest a generalization…

Quantum Physics · Physics 2024-03-28 William Rupush , Oscar Grånäs

Thomson's formulation of the second law - no work can be extracted from a system coupled to a bath through a cyclic process - is believed to be a fundamental principle of nature. For the equilibrium situation a simple proof is presented,…

Statistical Mechanics · Physics 2009-11-07 Armen E. Allahverdyan , Roger Balian , Theo M. Nieuwenhuizen

The principle called information causality has been used to deduce Tsirelson's bound. In this paper we derive information causality from monotonicity of divergence and relate it to more basic principles related to measurements on…

Quantum Physics · Physics 2020-02-10 Peter Harremoës

Thermodynamics is accepted as a universal truth, encompassing all macroscopic objects. Therefore, it is surprising to find that, within our current understanding, the photovoltaic effect has so far eluded the first and second laws of…

Statistical Mechanics · Physics 2020-12-22 Ido Frenkel , Avi Niv

Building on the fundamental equation, this study revisits key thermodynamic concepts in a cohesive and innovative manner. It demonstrates the consistency of thermodynamic theory while addressing and clarifying common misconceptions and…

Statistical Mechanics · Physics 2025-07-04 Joaquim Anacleto

We consider locally thermal states (for two qubits) with certain amount of quantum entanglement present between them. Unlike previous protocols we show how work can be extracted by performing local unitary operations on this state by…