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The Kullback-Leibler inequality is a way of comparing any two density matrices. A technique to set up the density matrix for a physical system is to use the maximum entropy principle, given the entropy as a functional of the density matrix,…

统计力学 · 物理学 2009-11-07 A. K. Rajagopal , R. W. Rendell , Sumiyoshi Abe

We speculate whether the second law of thermodynamics has more to do with Turing machines than steam pipes. It states the logical reversibility of reality as a computation, i.e., the fact that no information is forgotten: nature computes…

量子物理 · 物理学 2018-10-15 Stefan Wolf

The study of Maxwell demon and quantum entanglement is important because of its foundational significance in physics and its potential applications in quantum information. Previous research on the Maxwell demon has primarily focused on…

量子物理 · 物理学 2024-04-25 Meng-Jun Hu , Xiao-Min Hu , Yong-Sheng Zhang

Landauer's principle states that the erasure of information generates a corresponding amount of entropy in the environment. We show that Landauer's principle provides an intuitive basis for Holevo bound on the classical capacity of a…

量子物理 · 物理学 2009-10-31 Martin B. Plenio

The Landauer principle establishes a lower bound in the amount of energy that should be dissipated in the erasure of one bit of information. The specific value of this dissipated energy is tightly related to the definition of entropy. In…

广义相对论与量子宇宙学 · 物理学 2024-11-13 L. Herrera

The Landauer principle asserts that the energy cost of erasure of one bit of information by the action of a thermal reservoir in equilibrium at temperature T is never less than $kTlog 2$. We discuss Landauer's principle for quantum…

数学物理 · 物理学 2015-06-19 Vojkan Jaksic , Claude-Alain Pillet

Quantum correlation, or entanglement, is now believed to be an indispensable physical resource for certain tasks in quantum information processing, for which classically correlated states cannot be useful. Besides information processing,…

量子物理 · 物理学 2009-11-10 K. Maruyama , F. Morikoshi , V. Vedral

Landauer's erasure principle exposes an intrinsic relation between thermodynamics and information theory: the erasure of information stored in a system, S, requires an amount of work proportional to the entropy of that system. This entropy,…

量子物理 · 物理学 2011-06-28 Lídia del Rio , Johan Aberg , Renato Renner , Oscar Dahlsten , Vlatko Vedral

It is generally accepted, following Landauer and Bennett, that the process of measurement involves no minimum entropy cost, but the erasure of information in resetting the memory register of a computer to zero requires dissipating heat into…

量子物理 · 物理学 2007-05-23 J. Bub

We show that any external intervention (insertion or removal of a partition) that destroys the equilibrium or brings it in a system always requires work and heat to ensure that the first law is obeyed, a fact that has been completely…

经典物理 · 物理学 2022-05-09 P. D. Gujrati

Stochastic dynamics with random resetting leads to a non-equilibrium steady state. Here, we consider the thermodynamics of resetting by deriving the first and second law for reset processes far from equilibrium. We identify the…

统计力学 · 物理学 2017-01-31 Jaco Fuchs , Sebastian Goldt , Udo Seifert

In Szilard's engine, a demon measures a one-particle gas and applies feedback to extract work from thermal fluctuations, embodying Maxwell's notion that information reduces thermodynamic entropy - an apparent second-law violation. The…

统计力学 · 物理学 2025-08-26 Xiangjun Xing

Landauer's principle sets fundamental thermodynamical constraints for classical and quantum information processing, thus affecting not only various branches of physics, but also of computer science and engineering. Despite its importance,…

Landauer's principle provides a link between Shannon's information entropy and Clausius' thermodynamical entropy. We set up here a basic formula for the incremental free energy of a quantum channel, possibly relative to infinite systems,…

量子物理 · 物理学 2018-05-09 Roberto Longo

Landauer's principle states that erasure of each bit of information in a system requires at least a unit of energy $k_B T \ln 2$ to be dissipated. In return, the blank bit may possibly be utilized to extract usable work of the amount $k_B T…

介观与纳米尺度物理 · 物理学 2018-06-20 A. Mert Bozkurt , Baris Pekerten , Inanc Adagideli

Landauer's principle bridges information theory and thermodynamics by linking the entropy change of a system during a process to the average energy dissipated to its environment. Although typically discussed in the context of erasing a…

The standard relations between information theory and thermodynamics are challenged. The Szilard engine is revisited and the bound proposed by Landauer is replaced by a different one which includes errors in information processing. Instead…

量子物理 · 物理学 2014-02-12 Robert Alicki

Entanglement is central both to the foundations of quantum theory and, as a novel resource, to quantum information science. The theory of entanglement establishes basic laws, such as the non-increase of entanglement under local operations,…

量子物理 · 物理学 2008-11-04 Fernando G. S. L. Brandao , Martin B. Plenio

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…

统计力学 · 物理学 2022-04-13 Sungguen Ryu , Rosa López , Raúl Toral

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…

量子物理 · 物理学 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein