Abstract
We propose two schemes to generate three-qubit decoherence-free state for atoms trapped in a cavity via quantum Zeno dynamics. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity of the entangled state is investigated. Numerical results show that the schemes are robust against the cavity decay since the evolution of the system is restricted to a subspace with null-excitation cavity fields. Moreover, no measurement, post selection and auxiliary bits are needed during the whole process.
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