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arXiv · 1706.03176

Swapping of Gaussian Einstein-Podolsky-Rosen steering

Meihong Wang·Zhongzhong Qin·Xiaolong Su
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Abstract

Einstein-Podolsky-Rosen (EPR) steering is a quantum mechanical phenomenon that allows one party to steer the state of a distant party by exploiting their shared entanglement. It has potential applications in secure quantum communication. In this paper, we present two swapping schemes of Gaussian EPR steering, single-channel and dual-channel schemes, by the technique of entanglement swapping. Two space-separated independent EPR steering states without a direct interaction present EPR steering after deterministic swapping. By comparing the EPR steering of the single-channel and dual-channel schemes, we show that the transmission distance of the single-channel scheme is much longer than that of the symmetric dual-channel scheme. Different from entanglement swapping, one-way EPR steering is presented after swapping over lossy channels. The most interesting thing is that the change of the EPR steering direction is observed in the dual-channel scheme. We also show that excess noise in a quantum channel will shorten the transmission distance of the swapping, even leading to the sudden death of EPR steering. The presented schemes provide a technical reference for remote quantum communications with EPR steering.

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Meihong Wang, Zhongzhong Qin, Xiaolong Su. 2017-06-10. Swapping of Gaussian Einstein-Podolsky-Rosen steering. https://doi.org/10.1103/physreva.95.052311

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