Recently,Zhou et al.[Phys.Rev.A 79 (2009) 044304] proposed a scheme for transferring three-dimensionalquantum states between remote atomic qubits confined in cavities connected by fibers through adiabatic passage.Inorder to avoid the decoherence due to spontaneous emission,Zhou et ad.utilized the large detuning atom-field interaction.In the present paper,we discuss the influence of dissipation on the scheme in both the resonant atom-field interactioncase and the large detuning case.We numerically analyze the success probability and the transferring fidelity.It is shownthat the resonant case is a preferable choice for the technique of the stimulated Raman adiabatic passage (STIRAP) dueto the shorter operation time and the smaller probability of dissipation.
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