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Landauer's principle shows that the minimum energy cost to reset a classical bit in a bath with temperature $T$ is $k_{B}T\ln2$ in the infinite time. However, the task to reset the bit in finite time has posted a new challenge, especially…

Quantum Physics · Physics 2023-10-31 Hong-Bo Huang , Geng Li , Hui Dong

Landauer's principle laid the main foundation for the development of modern thermodynamics of information. However, in its original inception the principle relies on semiformal arguments and dissipative dynamics. Hence, if and how…

Quantum Physics · Physics 2021-08-04 Sebastian Deffner

Landauer's principle asserts that any computation has an unavoidable energy cost that grows proportionally to its degree of logical irreversibility. But even a logically reversible operation, when run on a physical processor that operates…

Quantum Physics · Physics 2021-05-31 Giulio Chiribella , Yuxiang Yang , Renato Renner

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

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

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

We consider how the energy cost of bit reset scales with the time duration of the protocol. Bit reset necessarily takes place in finite time, where there is an extra penalty on top of the quasistatic work cost derived by Landauer. This…

Quantum Physics · Physics 2023-01-23 Yi-Zheng Zhen , Dario Egloff , Kavan Modi , Oscar Dahlsten

We study the thermodynamic cost associated with the erasure of one bit of information over a finite amount of time. We present a general framework for minimizing the average work required when full control of a system's microstates is…

Statistical Mechanics · Physics 2020-09-09 Karel Proesmans , Jannik Ehrich , John Bechhoefer

The Landauer principle states that any logically irreversible information processing must be accompanied by dissipation into the environment. In this study, we investigate the heat dissipation associated with finite-time information erasure…

Statistical Mechanics · Physics 2022-01-05 Tan Van Vu , Keiji Saito

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

The Landauer principle sets a fundamental thermodynamic constraint on the minimum amount of heat that must be dissipated to erase one logical bit of information through a quasi-statically slow protocol. For finite time information erasure,…

Statistical Mechanics · Physics 2023-04-28 L. T. Giorgini , R. Eichhorn , M. Das , W. Moon , J. S. Wettlaufer

The erasure of a bit of information encoded in a physical system is an irreversible operation bound to dissipate an amount of energy $Q = k_\text{B} T\ln 2$. As a result, work $W \geq Q$ has to be applied to the physical system to restore…

A lower bound on the amount of energy needed to carry out an elementary logical operation on a qubit system, with a given accuracy and in a given time, has been recently postulated. This paper is an attempt to formalize this bound and…

Quantum Physics · Physics 2007-05-23 Julio Gea-Banacloche

The energy cost of erasing a bit of information was fundamentally lower bounded by Landauer, in terms of the temperature of its environment: $W\geq k_\mathrm{B} T \ln 2$. However, in real electronic devices, the information-bearing system…

The Landauer principle states that at least $k_B T \ln 2$ of energy is required to erase a 1-bit memory, with $k_B T$ the thermal energy of the system. We study the effects of inertia on this bound using as one-bit memory an underdamped…

Statistical Mechanics · Physics 2021-05-26 Salambô Dago , Jorge Pereda , Nicolas Barros , Sergio Ciliberto , Ludovic Bellon

The Landauer principle bridges the energetic cost and information processing, showing that irreversible computation inevitably demands energy dissipation. As energy demands from computation continue to rise, approximate computing has…

Statistical Mechanics · Physics 2026-05-26 Yoshihiko Hasegawa

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

Inspired by environmental sciences, we develop a framework to quantify the energy needed to generate quantum entanglement via noisy quantum channels, focusing on the hardware-independent, i.e. fundamental cost. Within this framework, we…

Landauer's bound is the minimum thermodynamic cost for erasing one bit of information. As this bound is achievable only for quasistatic processes, finite-time operation incurs additional energetic costs. We find a tight finite-time…

Statistical Mechanics · Physics 2022-10-05 Jae Sung Lee , Sangyun Lee , Hyukjoon Kwon , Hyunggyu Park

This thesis deals with the problematics of the scalability of fault-tolerant quantum computing. This question is studied under the angle of estimating the resources needed to set up such computers. What we call a resource is, in principle,…

Quantum Physics · Physics 2022-02-15 Marco Fellous-Asiani
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