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Many-party controlled remote implementations of multiple partially unknown quantum operations

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Abstract

In order to study the controlled remote implementation of quantum operation (RIO for short) for multiple partially unknown quantum operations, we first propose a scheme in the traditional sense for RIO of a partially unknown operation via the control of many agents in a network, which triggers that a new RIO scheme to teleporting multiple partially unknown quantum operations to a distant receiver via the control of one agent is put forwards. After that, we extend the above new method to the RIO of multiple partially unknown quantum operations via the control of many agents in a network. In the extended protocol, as long as all agents cooperate, the receiver can restore the partially unknown quantum operation acting on each qubit. However, even if one agent does not cooperate, the receiver cannot completely restore the partially unknown quantum operation acting on each qubit. This method works essentially through entangling quantum information during implementation, which greatly reduces the required auxiliary qubit resources, local operations and classical communication. Finally, the above scheme is further generalized to transmitting multiple partially unknown quantum operation-string for many distant receivers via the control of many agents in a network.

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Acknowledgements

This work is supported by National Science Foundation of Sichuan Province (No. 2022NSFSC0534), the Central Guidance on Local Science and Technology Development Fund of Sichuan Province (No. 22ZYZYTS0064), the Chengdu Key Research and Development Support Program (No. 2021-YF09-0016-GX), the key project of Sichuan Normal University (No. XKZX-02).

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Authors and Affiliations

  1. The School of Mathematics and Statistics, Yili Normal University, Yili, 835000, China

    Jia-Yin Peng

  2. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, 610068, China

    Jia-Yin Peng, Liang Tang, Zhen Yang & Ming-Qiang Bai

  3. School of Mathematics and Information Science Neijiang Normal University, Neijiang, 641100, Sichuan, China

    Jia-Yin Peng

  4. National-Local Joint Engineering Laboratory of System Credibility Automatic Verification, Research Center of Sichuan Normal University, Chengdu, 610066, China

    Liang Tang, Zhen Yang & Ming-Qiang Bai

  5. School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610068, China

    Liang Tang, Zhen Yang & Ming-Qiang Bai

  6. School of Computer Science and Technology, Taizhou University, Taizhou, 225300, Jiangsu, China

    Hong-xuan Lei

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  1. Jia-Yin Peng
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  2. Liang Tang
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Correspondence to Ming-Qiang Bai.

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Peng, JY., Tang, L., Yang, Z. et al. Many-party controlled remote implementations of multiple partially unknown quantum operations. Quantum Inf Process 22, 2 (2023). https://doi.org/10.1007/s11128-022-03750-z

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