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Thermodynamics of Computation

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A list of all pages that have property "Abstract" with value "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`"'.". Since there have been only a few results, also nearby values are displayed.

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    • A cost/speed/reliability tradeoff to erasing  + (We present a KL-control treatment of the fWe 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`"'.)