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Thermodynamics of Computation

A Cost / Speed / Reliability Trade-off in Erasing a Bit

From Thermodynamics of Computation
reference groups
Computer Science Theory
General Non-equilibrium Statistical Physics
Stochastic Thermodynamics
author-supplied keywords
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authors
Manoj Gopalkrishnan
title
A Cost / Speed / Reliability Trade-off in Erasing a Bit
type
journal
year
2015
abstract
We present a Kullback-Leibler (KL) control treatment of the fundamental problem of erasing a bit. We introduce notions of of information storage via a reliability timescale , and speed of erasing via an erasing timescale . Our problem formulation captures the tradeoff between speed, reliability, and the Kullback-Leibler (KL) cost required to erase a bit. We show that rapid erasing of a reliable bit costs at least , which goes to when .


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