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This article discusses the concept of information and its intimate relationship with physics. After an introduction of all the necessary quantum mechanical and information theoretical concepts we analyze Landauer's principle that states…

Quantum Physics · Physics 2009-11-07 M. B. Plenio , V. Vitelli

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

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,…

Quantum Physics · Physics 2018-05-09 Roberto Longo

We present a fluctuation theorem for quantum bipartite systems in which the subsystems exchange information with each other. Our information fluctuation theorem includes correlations by introducing a quantum mechanical mutual information…

Quantum Physics · Physics 2020-06-24 Jung Jun Park , Sang Wook Kim , Vlatko Vedral

We develop a Landauer-B\"uttiker theory of entropy evolution in time-dependent strongly coupled electron systems. This formalism naturally avoids the problem of system-bath distinction caused by the strong hybridization of central system…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Anton Bruch , Caio Lewenkopf , Felix von Oppen

We compare the thermodynamic entropy of a quantum Brownian oscillator derived from the partition function of the subsystem with the von Neumann entropy of its reduced density matrix. At low temperatures we find deviations between these two…

Quantum Physics · Physics 2009-11-13 Christian Hoerhammer , Helmut Buettner

We demonstrate the validity of Landauer's erasure principle in the strong coupling quantum regime by treating the system-reservoir interaction in a consistent way. We show that the initial coupling to the reservoir modifies both energy and…

Quantum Physics · Physics 2013-09-17 Stefanie Hilt , Saroosh Shabbir , Janet Anders , Eric Lutz

We review and investigate the general theory of thermodynamics of computation, and derive the fundamental inequalities that set the lower bounds of the work requirement and the heat emission during a computation. These inequalities…

Statistical Mechanics · Physics 2015-06-17 Takahiro Sagawa

One of the outstanding challenges to information processing is the eloquent suppression of energy consumption in execution of logic operations. Landauer principle sets an energy constraint in deletion of a classical bit of information.…

Quantum Physics · Physics 2018-06-13 L. L. Yan , T. P. Xiong , K. Rehan , F. Zhou , D. F. Liang , L. Chen , J. Q. Zhang , W. L. Yang , Z. H. Ma , M. Feng

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

We assess two different non-equilibrium quantum Landauer bounds: the traditional approach based on the change in entropy, referred to as the `entropic bound', and one based on the details of the dynamical map, referred to as the…

Quantum Physics · Physics 2017-10-16 Steve Campbell , Giacomo Guarnieri , Mauro Paternostro , Bassano Vacchini

Landauer's bound relates changes in the entropy of a system with the inevitable dissipation of heat to the environment. The bound, however, becomes trivial in the limit of zero temperature. Here we show that it is possible to derive a…

Quantum Physics · Physics 2020-07-01 Andre M. Timpanaro , Jader P. Santos , Gabriel T. Landi

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…

Mathematical Physics · Physics 2015-06-19 Vojkan Jaksic , Claude-Alain Pillet

A known aspect of the Clausius inequality is that an equilibrium system subjected to a squeezing $\d S<0$ of its entropy must release at least an amount $|\dbarrm Q|=T|\d S|$ of heat. This serves as a basis for the Landauer principle, which…

Statistical Mechanics · Physics 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

Landauer's principle, often regarded as the foundation of the thermodynamics of information processing, holds that any logically irreversible manipulation of information, such as the erasure of a bit or the merging of two computation paths,…

Classical Physics · Physics 2011-01-11 Charles H. Bennett

Recent papers discussing thermodynamic processes in strongly coupled quantum systems claim a violation of Landauer's principle and imply a violation of the second law of thermodynamics. If true, this would have powerful consequences.…

Quantum Physics · Physics 2010-06-09 Janet Anders , Saroosh Shabbir , Stefanie Hilt , Eric Lutz

We discuss some features of thermodynamics in the presence of multiple conserved quantities. We prove a generalisation of Landauer principle illustrating tradeoffs between the erasure costs paid in different "currencies". We then show how…

Quantum Physics · Physics 2017-04-10 Matteo Lostaglio , David Jennings , Terry Rudolph

Transmitting energy and information are two essential aspects of nature. Recent findings suggest they are closely related, while a quantitative equivalence between them is still unknown. This thus motivates us to ask: Can information…

Quantum Physics · Physics 2025-02-07 Chung-Yun Hsieh

Upon reviewing the article by Allahverdyan and Nieuwenhuizen in PRE, we conclude that neither the Landauer principle nor the counterexamples presented by the authors have any relation (i) to thermodynamics, and (ii) to the interdependence…

Quantum Physics · Physics 2007-06-15 Elias P. Gyftopoulos , Michael R. von Spakovsky

Landauer's principle has seen a boom of interest in the last few years due to the growing interest in quantum information sciences. However, its relevance and validity in the contexts of quantum field theory (QFT) remain surprisingly…

Quantum Physics · Physics 2022-06-22 Hao Xu , Yen Chin Ong , Man-Hong Yung