Impossibility of achieving Landauer's bound for almost every quantum state

The thermodynamic cost of resetting an arbitrary initial state to a particular desired is lower bounded by Landauer's bound. However, here we demonstrate that this bound necessarily unachievable for every (except possibly the single minimally dissipative input) any reliable reset mechanism. Since local heating threatens rapid decoherence, issue substantial importance beyond mere energy efficiency. For case qubit reset, find analytically protocol, in terms entropy-flow vector introduced here. This allows us verify recent theorem about initial-state dependence entropy production finite-time transformation, as it pertains quantum preparation.