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Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error-correcting codes, teleportation, and reversing quantum measurements. We…

Quantum Physics · Physics 2009-10-30 M. A. Nielsen , Carlton M. Caves , Benjamin Schumacher , Howard Barnum

Landauer's principle states that the erasure of information must be a dissipative process. In this paper, we carefully analyze the recording and erasure of information on a physical memory. On the one hand, we show that in order to record…

Statistical Mechanics · Physics 2015-06-15 Léo Granger , Holger Kantz

New concepts from nonequilibrium thermodynamics are used to show that Landauer's principle can be understood in terms of time asymmetry in the dynamical randomness generated by the physical process of the erasure of digital information. In…

Statistical Mechanics · Physics 2009-11-13 D. Andrieux , P. Gaspard

By considering an explicit nonequilibrium model, we analyze the statistics of the irreversible work, $w_{\rm irr}$, and irreversible entropy production, $\Delta_i s$, within the stochastic energetics framework. Restating the second law of…

Statistical Mechanics · Physics 2022-12-21 Pedro V. Paraguassú , Lucianno Defaveri , Silvio M. Duarte Queirós , Welles A. M. Morgado

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…

In this paper we present an analysis of information transfer based on Landauer's principle (i.e. erasure of information is associated with an increase in entropy), as well as considerations of analyticity and causality. We demonstrate that…

Optics · Physics 2015-06-26 Michael C. Parker , Stuart D. Walker

Landauer's principle sets a fundamental limit on the heat dissipated when one classical bit of information is erased from a memory, thereby establishing a direct link between information theory and thermodynamics. With the advent of quantum…

Quantum Physics · Physics 2025-05-14 Carlos Octavio A. Ribeiro Neto , Bertúlio de Lima Bernardo

In the recent progress in nonequilibrium thermodynamics, information has been recognized as a kind of thermodynamic resource that can drive thermodynamic current without any direct energy injection. In this paper, we establish the framework…

Statistical Mechanics · Physics 2016-11-22 Shumpei Yamamoto , Sosuke Ito , Naoto Shiraishi , Takahiro Sagawa

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

This brief note argues that, contrary to the claim of Ishioka and Fuchikami (chao-dyn/9902012), Landauer's principle is concerned a priori with entropy generation in computing processes. The concept of heat, in this principle, is only…

chao-dyn · Physics 2007-05-23 Hugo Touchette

The Landauer principle bridges the energetic cost and information processing, showing that irreversible computation inevitably demands energy dissipation. As energy demands from computation continue to rise, approximate computing has…

Statistical Mechanics · Physics 2026-05-26 Yoshihiko Hasegawa

We establish that entropy production, which is crucial to the characterization of thermodynamic irreversibility, is obtained through a variational principle involving the Kulback-Leibler divergence. A simple application of this…

Statistical Mechanics · Physics 2021-03-11 Naoto Shiraishi , Keiji Saito

Landauer's erasure principle is generalized to nondeterministic processes on systems having an arbitrary number of non-symmetrical logical states. The condition that the process is applied in the same way, irrespective of the initial…

Statistical Mechanics · Physics 2009-04-03 S. Turgut

We present an axiomatic framework for thermodynamics that incorporates information as a fundamental concept. The axioms describe both ordinary thermodynamic processes and those in which information is acquired, used and erased, as in the…

Quantum Physics · Physics 2018-05-09 Austin Hulse , Benjamin Schumacher , Michael D. Westmoreland

The classic Landauer bound can be lowered when erasure errors are permitted. Here we point out that continuous phase transitions characterized by an order parameter can also be viewed as information erasure by resetting a certain number of…

Disordered Systems and Neural Networks · Physics 2014-05-30 M. C. Diamantini , C. A. Trugenberger

One of the primary motivations of the research in the field of computation is to optimize the cost of computation. The major ingredient that a computer needs is the energy to run a process, i.e., the thermodynamic cost. The analysis of the…

Quantum Physics · Physics 2024-08-28 Pritam Chattopadhyay , Goutam Paul

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…

Statistical Mechanics · Physics 2017-01-31 Jaco Fuchs , Sebastian Goldt , Udo Seifert

Conventional computing has many sources of heat dissipation, but one of these--the Landauer limit--poses a fundamental lower bound of 1 bit of entropy per bit erased. 'Reversible Computing' avoids this source of dissipation, but is…

Quantum Physics · Physics 2022-10-25 Hannah Earley

Within an inherently classical perspective, there is always an unavoidable energy cost associated with the information deletion and this common lore is at the heart of the Landauer's conjecture that does not impose, per se, any relevant…

Quantum Physics · Physics 2025-07-15 Massimo Giovannini

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
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