Minimizing heat dissipation of bit erasure by controlling a finite-size quantum reservoir

Event: 
IICQI 2014
Talk type: 
Contributed
Abstract: 

We consider reset of a qubit by means of a controlled interaction with a finite-dimensional reservoir within the framework of Landauer’s principle. If the two systems are initially uncorrelated, we give a protocol for finding the optimal unitary operator acting on the composite system that minimises heat dissipation conditional on maximising the probability of bit reset. A specific model is presented where the qubit is initially in a maximally mixed state, and the Hamiltonian of the reservoir has an even-gapped, non-degenerate spectrum. We show that the presence of initial thermal correlations, so as to be consistent with the framework of Landauer’s principle, are not sufficient to constitute a resource for bit erasure.

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