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One-step distillation of local-unitary-equivalent GHZ-type states

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Abstract

Entanglement distillation plays a very important role in quantum information science. Distillation of high-purity Greenberger–Horne–Zeilinger (GHZ) states has been widely studied. We here show that a pure GHZ-type entangled state or its local unitary (LU)-equivalent state could be extracted from two copies of a particular multipartite mixed state (e.g., an X state) in a single step. Such one-step distillation schemes for LU-equivalent states are expected to shed light on mixed-state manipulation and purification, as well as establish a link between entanglement classification and distillation.

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Acknowledgements

This work was supported by the NSFC (Gant No. 11647129), the Scientific Research Fund of Hunan Provincial Education Department (Grant Nos. 15A028 and 16B036), the HNNSF (Grant Nos. 2016JJ2009 and 2017JJ3005), the Science and Technology Plan Project of Hunan Province (2016TP1020), Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University (IIPA18K07), and Opening Fund of Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education (QSQC1702).

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Authors and Affiliations

  1. College of Physics and Electronic Engineering, and Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang Normal University, Hengyang, 421002, China

    Jibing Yuan, Shiqing Tang, Xinwen Wang & Dengyu Zhang

  2. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China

    Xinwen Wang

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  1. Jibing Yuan
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  2. Shiqing Tang
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  3. Xinwen Wang
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  4. Dengyu Zhang
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Correspondence to Xinwen Wang.

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Yuan, J., Tang, S., Wang, X. et al. One-step distillation of local-unitary-equivalent GHZ-type states. Quantum Inf Process 17, 259 (2018). https://doi.org/10.1007/s11128-018-2034-3

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  • DOI: https://doi.org/10.1007/s11128-018-2034-3

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