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We propose a scheme for generating three-dimensional entanglement between twoatoms trapped in two spatially separated cavities reapectively via shortcuts toadi- abatic passage based on the approach of Lewis-Riesenfeld invariants incavity quan- tum electronic dynamics. By combining Lewis-Riesenfeld invariantswith quantum Zeno dynamics, we can generate three dimensional entanglement ofthe two atoms with high fidelity. The Numerical simulation results show thatthe scheme is ro- bust against the decoherences caused by the photon leakageand atomic spontaneous emission.

Generation of three-dimensional entanglement between two spatially separated atoms via shortcuts to adiabatic passage