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Conventional computing has many sources of heat dissipation, but one ofthese--the Landauer limit--poses a fundamental lower bound of 1 bit of entropyper bit erased. 'Reversible Computing' avoids this source of dissipation, butis dissipationless computation possible? In this paper, a general proof isgiven for open quantum systems showing that a computer thermally coupled to itsenvironment will necessarily dissipate entropy (and hence heat). Specifically,a lower bound is obtained that corresponds to the adiabatic regime, in whichthe amount of entropy dissipated per computational operation is proportional tothe rate of computation.

A Universal Constraint on Computational Rates in Physical Systems