Universal Bound on Energy Cost of Bit Reset in Finite Time

Abstract

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 extra energy is dissipated as heat in the computer, inducing a fundamental limit on the speed of irreversible computers. We formulate a hardware-independent expression for this limit in the framework of stochastic processes. We derive a closed-form lower bound on the work penalty as a function of the time taken for the protocol and bit reset error. It holds for discrete as well as continuous systems, assuming only that the master equation respects detailed balance.

Discussions about the tightness and the application of the bound are added. References are updated. 7+10 pages, 3+1 figures

References in corpus (10)

• Quantum speed limits in open system dynamics
• High-precision test of Landauer's principle in a feedback trap
• The thermodynamic meaning of negative entropy
• Finite-time Landauer principle
• Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates
• Erasure without work in an asymmetric, double-well potential
• Finite-time erasing of information stored in fermionic bits
• Quantum speed limits and the maximal rate of information production
• Optimal finite-time bit erasure under full control
• Time-optimal navigation through quantum wind

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