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A robust scheme for unknown entangled state transfer and C-Not gateimplemented between two spatially separated atoms is proposed. It is shownthat, in the effective three-atom Ising model, two-atom unknown entangled statecan be transferred from one pair of atoms to another deterministically by onlyrepeating a simple operation of turning on/off local laser field applied onatom for two times at controlling time $\frac{\pi}{2\Omega_{0}}$. The wholetime cost is less than $\frac{3\pi}{2\Omega_{0}}$. The successful probabilityand the fidelity are almost 100% for small atomic spontaneous emission rate.Deterministic two-atom C-Not gate can also be implemented in this model by justturning on/off the local laser field applied on the single target atom andleaving the controlling atom in its cavity alone for a while. The whole timecost is less than $\frac{\pi}{2\Omega_{0}}+\frac{3\pi \Delta}{2g^{2}}$. It isdemonstrated that the scheme is insensitive to cavity leakage and fiber loss.

Entanglement Transfer and C-Not Gate Implemented in A Fiber Connected 3-Atom System