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.

10 pages, 9 figures; figures updated, discussions added

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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