Abstract
We present an efficient protocol to rapidly generate a three-dimensional entangled state for two atoms trapped in a cavity with quantum Zeno dynamics and Lewis–Riesenfeld invariants. The required time for the protocol is much shorter than that with adiabatic passage. The influence of various decoherence processes such as atomic spontaneous emission and photon loss on the fidelity of the three-dimensional entangled state is investigated. Numerical simulation demonstrates that the protocol is robust against both the atomic spontaneous emission and cavity decay. Different from Lin et al. (J Opt Soc Am B 33(4):519–524, 2016), the three-dimensional entangled state can be fast generated with only one step. Furthermore, the protocol can be generalized to generate N-dimensional entanglement state. Therefore, we hope the protocol may be useful in quantum information field.











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Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 11575045 and 11374054, and the Major State Basic Research Development Program of China under Grant No. 2012CB921601.
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Yang, YF., Chen, YH., Wu, QC. et al. Rapid generation of a three-dimensional entangled state for two atoms trapped in a cavity via shortcuts to adiabatic passage. Quantum Inf Process 16, 15 (2017). https://doi.org/10.1007/s11128-016-1453-2
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DOI: https://doi.org/10.1007/s11128-016-1453-2