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Quantum correlations in Gaussian states via Gaussian channels: steering, entanglement, and discord

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Abstract

Here we study the quantum steering, quantum entanglement, and quantum discord for Gaussian Einstein–Podolsky–Rosen states via Gaussian channels. And the sudden death phenomena for Gaussian steering and Gaussian entanglement are theoretically observed. We find that some Gaussian states have only one-way steering, which confirms the asymmetry of quantum steering. Also we investigate that the entangled Gaussian states without Gaussian steering and correlated Gaussian states own no Gaussian entanglement. Meanwhile, our results support the assumption that quantum entanglement is intermediate between quantum discord and quantum steering. Furthermore, we give experimental recipes for preparing quantum states with desired types of quantum correlations.

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Acknowledgments

The authors gratefully acknowledge the support from the National Natural Science Foundation of China through Grants Nos. 11404031, 11175094, 91221205, and 61205117, the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications).

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Authors and Affiliations

  1. State Key Laboratory of Information photonics and Optical Communications, School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Zhong-Xiao Wang, Tie-Jun Wang & Chuan Wang

  2. State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China

    Shuhao Wang

  3. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Qiting Li

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  1. Zhong-Xiao Wang
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  2. Shuhao Wang
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  3. Qiting Li
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  4. Tie-Jun Wang
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  5. Chuan Wang
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Correspondence to Chuan Wang.

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Wang, ZX., Wang, S., Li, Q. et al. Quantum correlations in Gaussian states via Gaussian channels: steering, entanglement, and discord. Quantum Inf Process 15, 2441–2453 (2016). https://doi.org/10.1007/s11128-016-1276-1

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  • DOI: https://doi.org/10.1007/s11128-016-1276-1

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