Inverse linear versus exponential scaling of work penalty in finite-time bit reset

Abstract

Bit reset is a basic operation in irreversible computing. This costs work and dissipates energy in the computer, creating a limit on speeds and energy efficiency of future irreversible computers. It was recently shown in [Phys. Rev. Lett. 127, 190602 (2021)] that for a finite-time reset protocol, the additional work on top of the quasistatic protocol can always be minimized by considering a two-level system, and then be lower bounded through a thermodynamical speed limit. An important question is to understand under what protocol parameters, including bit reset error and maximum energy shift, this penalty decreases exponentially vs inverse linearly in the protocol time. Here we provide several analytical results to address this question, as well as numerical simulations of specific examples of protocols.

arXiv comment10 pages, 9 figures; figures updated, discussions added

References in corpus (37)

• High-precision test of Landauer's principle in a feedback trap
• The thermodynamic meaning of negative entropy
• Experimental realization of a Szilard engine with a single electron
• Stochastic thermodynamics under coarse-graining
• Optimal finite-time processes in stochastic thermodynamics
• Second law and Landauer principle far from equilibrium
• Thermalizing Quantum Machines: Dissipation and Entanglement
• An improved Landauer Principle with finite-size corrections
• Truly work-like work extraction
• Speed Limit for Classical Stochastic Processes
• Optimal protocols and optimal transport in stochastic thermodynamics
• The physics of forgetting: Landauer's erasure principle and information theory
• Quantum stochastic processes and quantum non-Markovian phenomena
• The work value of information
• Finite-time Landauer principle
• A non-equilibrium quantum Landauer principle
• Experimental demonstration of information to energy conversion in a quantum system at the Landauer Limit
• Geometrical Bounds of the Irreversibility in Markovian Systems
• Landauer's principle in multipartite open quantum system dynamics
• Single-atom demonstration of quantum Landauer principle
• Thermodynamic length in open quantum systems
• Optimal finite-time erasure of a classical bit
• Memory erasure in small systems
• Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance
• Finite-Time Quantum Landauer Principle and Quantum Coherence
• Geometric optimisation of quantum thermodynamic processes
• Minimum entropy production, detailed balance and Wasserstein distance for continuous-time Markov processes
• A measure of majorisation emerging from single-shot statistical mechanics
• Quantum fluctuations hinder finite-time information erasure near the Landauer limit
• Universal Bound on Energy Cost of Bit Reset in Finite Time
• Optimal finite-time bit erasure under full control
• Above and Beyond the Landauer Bound: Thermodynamics of Modularity
• Landauer's principle at zero temperature
• Landauer's erasure, error correction and entanglement
• Guaranteed energy-efficient bit reset in finite time
• The impossibility of Landauer's bound for almost every quantum state
• Emergence of a fluctuation relation for heat in nonequilibrium Landauer processes

Cited by in corpus (6)

• Collective advantages in finite-time thermodynamics
• Minimally dissipative information erasure in a quantum dot via thermodynamic length
• Finite-time Landauer principle beyond weak coupling
• Optimal control of dissipation and work fluctuations for rapidly driven systems
• Generalized free energy and excess/housekeeping decomposition in nonequilibrium systems: from large deviations to thermodynamic speed limits
• Optimally Fast Qubit Reset