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Minimising the heat dissipation of maximal information erasure

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

Minimising the heat dissipation of maximal information erasure, Proc Quantum Thermodynamics Conf. - QTD, Palma de Mallorca, Spain, Vol. N/A, pp. N/A - N/A, April, 2015.

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We find the global unitary evolution that minimises the heat transfer to a thermal reservoir conditional on maximising the erasure of a qubit. We consider the case when the reservoir is a d-dimensional subspace of a harmonic oscillator, and show that the optimal case exceeds Landauer’s limit. We also consider the robustness, due to reservoir dimension, to energy-conserving dephasing. Finally, we consider two changes in the assumptions underlying
Landauer’s principle to attain better bounds.