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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

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 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

The thermodynamic cost of resetting an arbitrary initial state to a particular desired state is lower bounded by Landauer's bound. However, here we demonstrate that this lower bound is necessarily unachievable for nearly every initial…

Quantum Physics · Physics 2021-07-28 Paul M. Riechers , Mile Gu

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

Landauer's erasure principle states that the irreversible erasure of a one-bit memory, embedded in a thermal environment, is accompanied with a work input of at least $k_{\text{B}}T\ln2$. Fundamental to that principle is the assumption that…

Statistical Mechanics · Physics 2019-01-31 Jan Klaers

Landauer's Principle states that the energy cost of information processing must exceed the product of the temperature and the change in Shannon entropy of the information-bearing degrees of freedom. However, this lower bound is achievable…

Statistical Mechanics · Physics 2019-01-01 A. B. Boyd , A. Patra , C. Jarzynski , J. P. Crutchfield

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 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

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 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

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

The adiabatic quantum-flux-parametron (AQFP) is an energy-efficient superconductor logic family that utilizes adiabatic switching. AQFP gates are powered and clocked by ac excitation current; thus, to operate AQFP circuits at high clock…

Applied Physics · Physics 2021-02-15 Naoki Takeuchi , Hideo Suzuki , Coenrad J. Fourie , Nobuyuki Yoshikawa

Landauer's principle bounds the heat generated by logical operations, but in practice the thermodynamic cost of computation is dominated by the control systems that implement logic. CMOS gates dissipate energy far above the Landauer bound,…

Statistical Mechanics · Physics 2026-02-17 Stephen Whitelam

Nonequilibrium information thermodynamics determines the minimum energy dissipation to reliably erase memory under time-symmetric control protocols. We demonstrate that its bounds are tight and so show that the costs overwhelm those implied…

Statistical Mechanics · Physics 2021-04-28 Gregory W. Wimsatt , Alexander B. Boyd , Paul M. Riechers , James P. Crutchfield

Landauer's principle states that it costs at least kTln2 of work to reset one bit in the presence of a heat bath at temperature T. The bound of kTln2 is achieved in the unphysical infinite-time limit. Here we ask what is possible if one is…

Quantum Physics · Physics 2014-09-16 Cormac Browne , Andrew J. P. Garner , Oscar C. O. Dahlsten , Vlatko Vedral

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

In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the…

Quantum Physics · Physics 2018-05-16 Philip Taranto , Kavan Modi , Felix A. Pollock

The adiabatic quantum-flux parametron (AQFP) is a promising energy-efficient superconducting technology. Before technology mapping, additional buffer and splitter cells need to be inserted into AQFP circuits to fulfill two special…

Logic in Computer Science · Computer Science 2021-09-02 Siang-Yun Lee , Heinz Riener , Giovanni De Micheli

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