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The clean world of digital information is based on noisy physical devices. Landauer's principle provides a deep connection between information processing and the underlying thermodynamics by setting a lower limit on the energy consumption…

Landauer principle states that erasure of $N$ bit information requires an entropic cost of $Nk_B \ln 2$. This fact can easily be demonstrated by relaxation of an ideal gas consisting of $N$ particles inside a fixed volume. In this paper we…

Statistical Mechanics · Physics 2017-03-16 P. S. Pal , A. M. Jayannavar

A restricted form of Landauer's Principle, independent of computational considerations, is shown to hold for thermal systems by reference to the joint entropy associated with conjugate observables. It is shown that the source of the…

Quantum Physics · Physics 2024-01-15 R. E. Kastner , Andreas Schlatter

An important step to incorporate information in the second law of thermodynamics was done by Landauer, showing that the erasure of information implies an increase in heat. Most attempts to justify Landauer's erasure principle are based on…

Statistical Mechanics · Physics 2023-04-04 Xavier Oriols , Hrvoje Nikolić

A known aspect of the Clausius inequality is that an equilibrium system subjected to a squeezing $\d S$ 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 2009-10-31 A. E. Allahverdyan , Th. M. Nieuwenhuizen

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

Landauer's principle states that information erasure requires heat dissipation. Landauer's original result focused on equilibrium memories. We here investigate the reset of information stored in a nonequilibrium state of a symmetric…

Statistical Mechanics · Physics 2018-06-05 Michael Konopik , Alexander Friedenberger , Nikolai Kiesel , Eric Lutz

The erasure of a classical bit of information is a dissipative process. The minimum heat produced during this operation has been theorized by Rolf Landauer in 1961 to be equal to $k_B T \ln 2$ and takes the name of Landauer limit, Landauer…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Igor Neri , Miquel López-Suárez

We measured the energy efficiency of information erasure using silicon DRAM cells capable of counting charges on capacitors at the single-electron level. Our measurements revealed that the efficiency decreased as the erasure error…

Statistical Mechanics · Physics 2026-04-01 Takase Shimizu , Kensaku Chida , Gento Yamahata , Katsuhiko Nishiguchi

Information is central to thermodynamics, providing the grounds to the formulation of the theory in powerful abstract statistical terms. One must not forget, however, that, as put by Landauer, {\it information is physical}. This means that…

Quantum Physics · Physics 2019-05-01 T. Croucher , J. Wright , A. R. R. Carvalho , S. M. Barnett , J. A. Vaccaro

Landauer's principle states that erasing a bit of information at fixed temperature T costs at least kT ln 2 units of work. Here we investigate erasure at varying temperature, to which Landauer's result does not apply. We formulate bit…

Statistical Mechanics · Physics 2023-12-29 Stephen Whitelam

A Brownian particle in a symmetric double well potential is used as a representation for a single bit memory, where, the location of the particle in either well denotes one of the two states of a single bit memory. This article analyzes the…

Statistical Mechanics · Physics 2018-04-06 Saurav Talukdar , Shreyas Bhaban , James Melbourne , Murti V. Salapaka

We study driven finite quantum systems in contact with a thermal reservoir in the regime in which the system changes slowly in comparison to the equilibration time. The associated isothermal adiabatic theorem allows us to control the full…

Mathematical Physics · Physics 2016-09-22 Tristan Benoist , Martin Fraas , Vojkan Jaksic , Claude-Alain Pillet

Information is physical but information is also processed in finite time. Where computing protocols are concerned, finite-time processing in the quantum regime can dynamically generate coherence. Here we show that this can have significant…

Quantum Physics · Physics 2020-10-19 Harry J. D. Miller , Giacomo Guarnieri , Mark T. Mitchison , John Goold

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

Quantum state engineering and quantum computation rely on information erasure procedures that, up to some fidelity, prepare a quantum object in a pure state. Such processes occur within Landauer's framework if they rely on an interaction…

Quantum Physics · Physics 2016-01-26 M. Hamed Mohammady , Masoud Mohseni , Yasser Omar

We show that information in quantum memory can be erased and recovered perfectly if it is necessary. That the final states of environment are completely determined by the initial states of the system allows that an easure operation can be…

Quantum Physics · Physics 2009-11-10 Qing-Yu Cai

Landauer's Principle that information loss from a computation implies entropy increase can be rigorously proved from mathematical physics. However, carefully examining its detailed formulation reveals that the traditional identification of…

Emerging Technologies · Computer Science 2018-06-28 Michael P. Frank

While Landauer's Principle sets a lower bound for the work required for a computation, that work is recoverable for efficient computations. However, practical physical computers, such as modern digital computers or biochemical systems, are…

Statistical Mechanics · Physics 2021-04-27 Alexander B. Boyd , Paul M. Riechers , Gregory W. Wimsatt , James P. Crutchfield , Mile Gu

Landauer argued that the process of erasing the information stored in a memory device incurs an energy cost in the form of a minimum amount of mechanical work. We find, however, that this energy cost can be reduced to zero by paying a cost…

Quantum Physics · Physics 2011-06-02 Joan A. Vaccaro , Stephen M. Barnett