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 hardwareindependent expression for this limit in the framework of stochastic processes. We derive a closedform 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.
 Publication:

Physical Review Letters
 Pub Date:
 November 2021
 DOI:
 10.1103/PhysRevLett.127.190602
 arXiv:
 arXiv:2106.00580
 Bibcode:
 2021PhRvL.127s0602Z
 Keywords:

 Quantum Physics;
 Condensed Matter  Statistical Mechanics
 EPrint:
 Discussions about the tightness and the application of the bound are added. References are updated. 7+10 pages, 3+1 figures