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Efficient Tripartite Quantum Operation Sharing with Five-Qubit Absolutely Maximally Entangled State

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Abstract

A tripartite quantum operation sharing protocol is proposed by utilizing a five-qubit absolutely maximally entangled (AME) state presented by Helwig et al. (Phys. Rev. A 86, 052335 (2012). The security of the proposed protocol is analyzed and ensured. The essential role of the state in this quantum task is explained. The protocol determinacy and the sharer asymmetry are identified. The experimental feasibility of the proposed protocol is discussed and confirmed. Moreover, the protocol is compared with Peng’s tripartite protocol using a six-qubit AME state [Quantum Inf Process 14, 4255 (2015)] and its distinct advantages of consuming less quantum resources, degrading the intensity of necessary operations, and owning the higher intrinsic efficiency, are revealed.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (NNSFC) under Grant Nos.12075205 and 11905131.

Funding

Prof. Z. Zhang is supported by NNSFC No.12075205, and B. Ye is supported by NNSFC No.11905131.

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Authors and Affiliations

  1. School of Information and Electronic Engineering (Sussex Artificial Intelligence Institute), Zhejiang Gongshang University, Hangzhou, 310018, China

    Zhanjun Zhang, Lei Zhang & Bin Zhuge

  2. School of Science, Zhejiang Sci-Tech University, Hangzhou, 310018, China

    Li Deng

  3. Quantum Information Research Center, Shangrao Normal University, Shangrao, 334001, China

    Biaoliang Ye

Authors
  1. Zhanjun Zhang
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  2. Li Deng
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  3. Lei Zhang
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  4. Bin Zhuge
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  5. Biaoliang Ye
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Contributions

Prof. Z. Zhang conceived and supervised the project. All authors reviewed the manuscript.

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Correspondence to Zhanjun Zhang.

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Zhang, Z., Deng, L., Zhang, L. et al. Efficient Tripartite Quantum Operation Sharing with Five-Qubit Absolutely Maximally Entangled State. Int J Theor Phys 60, 2583–2591 (2021). https://doi.org/10.1007/s10773-020-04684-x

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  • DOI: https://doi.org/10.1007/s10773-020-04684-x

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