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

Mohammady, M. ; Mohseni, M. ; Omar, Y.

Minimizing heat dissipation of bit erasure by controlling a finite-size quantum reservoir , Proc International Iran Conf. on Quantum Information 2014 - IICQI 2014, Esfehan, Iran, Vol. N/A, pp. N/A - N/A, September, 2014.

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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.