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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

The amount of heat generated by computers is rapidly becoming one of the main problems for developing new generations of information technology. The thermodynamics of computation sets the ultimate physical bounds on heat generation. A lower…

Quantum Physics · Physics 2017-03-30 Daniel Bedingham , Owen Maroney

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

We review the physical foundations of Landauer's Principle, which relates the loss of information from a computational process to an increase in thermodynamic entropy. Despite the long history of the Principle, its fundamental rationale and…

Emerging Technologies · Computer Science 2019-01-30 Michael P. Frank

Thermodynamic trade-off relations dictate fundamental limits on the performance of thermodynamic tasks through costs such as heat dissipation. Here, we propose a framework called thermodynamic recycling to circumvent these limits in quantum…

Quantum Physics · Physics 2026-04-28 Nobumasa Ishida , Yoshihiko Hasegawa

Reversible computation has been proposed as a future paradigm for energy efficient computation, but so far few implementations have been realised in practice. Quantum circuits, running on quantum computers, are one construct known to be…

Energy consumption in solving computational problems has been gaining growing attention as one of the key performance measures for computers. Quantum computation is known to offer advantages over classical computation in terms of various…

Quantum Physics · Physics 2025-05-23 Florian Meier , Hayata Yamasaki

If the 20th century was known for the computational revolution, what will the 21st be known for? Perhaps the recent strides in the nascent fields of molecular programming and biological computation will help bring about the 'Coming Era of…

Statistical Mechanics · Physics 2022-03-14 Hannah Amelie Earley

The relation between entropy and information has great significance for computation. Based on the strict reversibility of the laws of microphysics, Landauer (1961), Bennett (1973), Priese (1976), Fredkin and Toffoli (1982), Feynman (1985)…

Quantum Physics · Physics 2021-11-16 Basil Evangelidis

According to the Landauer principle, any logically irreversible process accompanies entropy production, which results in heat dissipation in the environment. Erasing of information, one of the primary logically irreversible processes, has a…

Quantum Physics · Physics 2025-08-05 Pritam Chattopadhyay , Avijit Misra , Tanmoy Pandit , Goutam Paul

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-…

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

This article is an attempt to generalize the classical theory of reversible computing, principally developed by Bennet [IBM J. Res. Develop., 17(1973)] and by Fredkin and Toffoli [Internat. J. Theoret. Phys., 21(1982)], to the quantum case.…

Quantum Physics · Physics 2007-05-23 Massimo Pica Ciamarra

Modern digital electronics support remarkably reliable computing, especially given the challenge of controlling nanoscale logical components that interact in fluctuating environments. However, we demonstrate that the high-reliability limit…

Statistical Mechanics · Physics 2020-10-07 P. M. Riechers , A. B. Boyd , G. W. Wimsatt , J. P. Crutchfield

The emergence of irreversibility in physical processes, despite the fundamentally reversible nature of quantum mechanics, remains an open question in physics. This thesis explores the intricate relationship between quantum mechanics and…

Quantum Physics · Physics 2024-10-25 Alberto Rolandi

Framing computation as the transformation of metastable memories, we explore its fundamental thermodynamic limits. The true power of information follows from a novel decomposition of nonequilibrium free energy derived here, which provides a…

Statistical Mechanics · Physics 2018-08-13 Paul M. Riechers

Using the operational framework of completely positive, trace preserving operations and thermodynamic fluctuation relations, we derive a lower bound for the heat exchange in a Landauer erasure process on a quantum system. Our bound comes…

Quantum Physics · Physics 2015-02-11 John Goold , Mauro Paternostro , Kavan Modi

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,…

The fundamental energy cost of irreversible computing is given by the Landauer bound of $kT \ln2$~/bit. However, this limit is only achievable for infinite-time processes. We here determine the fundamental energy cost of finite-time…

Statistical Mechanics · Physics 2023-10-03 Michael Konopik , Till Korten , Eric Lutz , Heiner Linke

Landauer's principle provides a perspective on the physical meaning of information as well as on the minimum working cost of information processing. Whereas most studies have related the decrease in entropy during a computationally…

Quantum Physics · Physics 2020-06-18 Kazunari Hashimoto , Bassano Vacchini , Chikako Uchiyama
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