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Generation of steady three- and four-dimensional entangled states via quantum-jump-based feedback

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Abstract

A scheme is presented for generating steady three- (four-) dimensional entangled states for two atoms trapped in a strongly dissipative single-mode (double-mode) cavity via quantum-jump-based feedback. The cavity decay is no longer undesirable, but plays an integral part in the schemes. Numerical results show that the target states could be obtained from any initial states via quantum-jump-based feedback. Moreover, our scheme is insensitive to moderate fluctuations of experimental parameters and detection inefficiencies without atomic decay since the system can always reach the target state. Nevertheless, the atomic decay still plays a negative role in the current scheme. The scheme can be generalized to realize \(N\)-dimensional entanglement for two atoms.

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Acknowledgments

This project was supported by the National Natural Science Foundation of China under Grant Nos. 11064016 and 61068001.

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Correspondence to Xin Ji.

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Wu, QC., Ji, X. Generation of steady three- and four-dimensional entangled states via quantum-jump-based feedback. Quantum Inf Process 12, 3167–3178 (2013). https://doi.org/10.1007/s11128-013-0592-y

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