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• A Cost / Speed / Reliability Trade-off in Erasing a Bit  + (We present a Kullback-Leibler (KL) control … We present a Kullback-Leibler (KL) control treatment of the fundamental problem of erasing a bit. We introduce notions of '"`UNIQ--math-00000CE1-QINU`"' of information storage via a reliability timescale '"`UNIQ--math-00000CE2-QINU`"', and speed of erasing via an erasing timescale '"`UNIQ--math-00000CE3-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-00000CE4-QINU`"', which goes to '"`UNIQ--math-00000CE5-QINU`"' when '"`UNIQ--math-00000CE6-QINU`"'.NU`"' when '"`UNIQ--math-00000CE6-QINU`"'.)

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