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From Thermodynamics of Computation
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- A cost/speed/reliability tradeoff to erasing + (We present a KL-control treatment of the f … We present a KL-control treatment of the fundamental problem of erasing a bit. We introduce notions of "reliability" of information storage via a reliability timescale '"`UNIQ--math-00000CDB-QINU`"', and "speed" of erasing via an erasing timescale '"`UNIQ--math-00000CDC-QINU`"'. 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 '"`UNIQ--math-00000CDD-QINU`"', which goes to '"`UNIQ--math-00000CDE-QINU`"' when '"`UNIQ--math-00000CDF-QINU`"'.NU`"' when '"`UNIQ--math-00000CDF-QINU`"'.)