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Computational complexity is a particularly important objective. The idea of Landauer principle was extended through mapping three classic problems (sorting,ordered searching and max of N unordered numbers) into Maxwell demon thought…

Computational Complexity · Computer Science 2014-12-04 Feng Pan , Heng-liang Zhang , Qi Jie

According to Landauer's principle, a minimum amount of energy proportional to temperature must be dissipated during the erasure of a classical bit of information compensating the entropy loss, thereby linking the information and…

Mesoscale and Nanoscale Physics · Physics 2015-06-29 Kuntal Roy

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

External piecewise-constant feedback control can modify energetic and entropic balances, allowing in extreme scenarios for Maxwell demon operational modes. Without specifying the actual implementation of external feedback loops, one can…

Statistical Mechanics · Physics 2024-07-30 Gernot Schaller

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

It is widely accepted that information erasure entails heat dissipation. Here we analyze asymmetric memory states to show that this energy cost can be shuffled around to any step in a write-erase cycle and need not accompany the logically…

Statistical Mechanics · Physics 2007-05-23 M. Maissam Barkeshli

According to the microscopic formulation of Landauer's principle, when information is deleted the Von Neumann entropy of the system gets reduced with a corresponding energy cost. Although within the same perspective the growth of the…

High Energy Physics - Theory · Physics 2024-10-01 Massimo Giovannini

Landauer principle describes the minimum heat produced by an information-processing device. Recently a new term has been included in the minimum heat production: it's called conditional entropy and takes into account the microstates content…

Statistical Mechanics · Physics 2016-10-06 D. Chiuchiú , M. C. Diamantini , L. Gammaitoni

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

Quantum measurement of a system can change its mean energy, as well as entropy. A selective measurement (classical or quantum) can be used as a "Maxwell's demon" to power a single-temperature heat engine, by decreasing the entropy. Quantum…

Quantum Physics · Physics 2010-11-05 Noam Erez

Landauer's principle introduces a symmetry between computational and physical processes: erasure of information, a logically irreversible operation, must be underlain by an irreversible transformation dissipating energy. Monitoring micro-…

Recently, in a letter to Nature, del Rio et al.8 exploited the quantum viewpoint of the old but well-known thought experiment of Maxwell's demon, a tiny "man-machine" that processes only a single unit of information. In their work, they…

Information Theory · Computer Science 2013-01-21 Alexandre de Castro

Understanding how much energy is needed and dissipated as heat for a given computational system and for a given program is a physically interesting and practically important problem. However, the thermodynamic costs of computational systems…

Statistical Mechanics · Physics 2023-08-31 Daigo Yoshino , Yasuhiro Tokura

We consider an overdamped nanoparticle in a driven double-well potential as a generic model of an erasable one-bit memory. We study in detail the statistics of the heat dissipated during an erasure process and show that full erasure may be…

Statistical Mechanics · Physics 2010-04-12 Raoul Dillenschneider , Eric Lutz

In mathematical physical analyses of Szilard's engine and Maxwell's demon, a general assumption (explicit or implicit) is that one can neglect the energy needed for relocating the piston in Szilard's engine and for driving the trap door in…

General Physics · Physics 2012-06-26 Laszlo B. Kish , Claes G. Granqvist

The most succinct manifestation of the second law of thermodynamics is the limitation the Landauer principle imposes on the amount of heat a Maxwell demon (MD) can convert into free energy per single bit of information obtained in a…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 J. V. Koski , V. F. Maisi , J. P. Pekola , D. V. Averin

In a recent paper we have introduced a continuous version of the Maxwell demon (CMD) that is capable of extracting large amounts of work per cycle by repeated measurements of the state of the system. Here we underline its main features such…

Statistical Mechanics · Physics 2020-05-26 Marco Ribezzi-Crivellari , Felix Ritort

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

We study the physical mechanism of Maxwell's Demon (MD) helping to do extra work in thermodynamic cycles, by describing measurement of position, insertion of wall and information erasing of MD in a quantum mechanical fashion. The heat…

Quantum Physics · Physics 2015-05-19 H. Dong , D. Z. Xu , C. P. Sun

Resolution of the century-long paradox on Maxwell's demon reveals a deep connection between information theory and thermodynamics. Although initially introduced as a thought experiment, Maxwell's demon can now be implemented in several…