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Tripartite Quantum Operation Sharing with a Six-Qubit Absolutely Maximally Entangled State

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Abstract

A three-party scheme for sharing an arbitrary single-qubit operation on a distant target qubit is proposed by utilizing a six-qubit absolutely maximally entangled (AME) state in a given qubit distribution. The security of the proposed scheme is analyzed and ensured. The essential role which the AME state in the given qubit distribution plays in the QOS task is revealed. The important features including scheme determinacy and sharer symmetry are identified. The experimental feasibility of the proposed scheme is simply discussed and confirmed. The scheme is compared with a competing tripartite one proposed by Peng with a same six-qubit AME state but in another qubit distribution (Peng Quant. Inf. Process. 14, 4255, 2015). It is found that this scheme is also applicable and needs less necessary two-qubit operations in contrast to Peng’s.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (NNSFC) under Grant Nos. 12075205, 12001480 and 11905131, and the Natural Science Foundation of Jiangxi Province (20192BAB212005).

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Authors and Affiliations

  1. School of Information & Electronic Engineering, Zhejiang Gongshang University, Hangzhou, 310018, China

    Zhanjun Zhang, Lei Zhang & Bin Zhuge

  2. School of Physics and Materials Science, Anhui University, Hefei, 230039, China

    Hao Yuan

  3. School of Electrical & Optoelectronic Engineering, West Anhui University, Luan, 237012, China

    Hao Yuan

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

    Biaoliang Ye

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  1. Zhanjun Zhang
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  2. Lei Zhang
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  3. Bin Zhuge
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  4. Hao Yuan
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  5. Biaoliang Ye
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Correspondence to Zhanjun Zhang.

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Zhang, Z., Zhang, L., Zhuge, B. et al. Tripartite Quantum Operation Sharing with a Six-Qubit Absolutely Maximally Entangled State. Int J Theor Phys 60, 2520–2530 (2021). https://doi.org/10.1007/s10773-020-04652-5

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  • DOI: https://doi.org/10.1007/s10773-020-04652-5

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