Abstract
We propose two schemes to generate multi-atom asymmetric W state and cluster state via long-range off-resonant Raman coupling for distant atoms trapped in separate cavities connected by optical fibers. In these schemes the cavity decay, atomic spontaneous emission, and fiber loss are efficiently suppressed because the effective long-range off-resonant interaction is mediated by the vacuum fields of the fiber and cavity and the total system evolves in the decoherence-free subspace in which no system is excited. Furthermore, the entanglement fidelities of the states are assessed showing that the effects of the deviation on the fidelities of the states are very small.
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