Effective dephasing for a qubit interacting with a transverse classical field

Abstract

We address the dynamics of a qubit interacting with a quasi static random classical field having both a longitudinal and a transverse component and described by a Gaussian stochastic process. In particular, we analyze in details the conditions under which the dynamics may be effectively approximated by a unitary operation or a pure dephasing without relaxation.

revised version, 6 pages, 1 figure

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