中国物理B ›› 2022, Vol. 31 ›› Issue (1): 10305-010305.doi: 10.1088/1674-1056/ac20c6

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Quantum multicast communication over the butterfly network

Xing-Bo Pan(潘兴博)1, Xiu-Bo Chen(陈秀波)1,†, Gang Xu(徐刚)2, Zhao Dou(窦钊)1, Zong-Peng Li(李宗鹏)3,4, and Yi-Xian Yang(杨义先)1   

  1. 1 Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2 School of Information Science and Technology, North China University of Technology, Beijing 100144, China;
    3 Huawei Technologies Co. Ltd, Shenzhen 518129, China;
    4 School of Computer Science, Wuhan University, Wuhan 430072, China
  • 收稿日期:2021-06-14 修回日期:2021-08-13 接受日期:2021-08-25 出版日期:2021-12-03 发布日期:2021-12-31
  • 通讯作者: Xiu-Bo Chen E-mail:cflyover100@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 92046001, 61671087, 61962009, and 61971021), the Fundamental Research Funds for the Central Universities (Grant Nos. 2019XD-A02 and 2020RC38), the Fund from Huawei Technologies Co. Ltd (Grant No. YBN2020085019), the Open Foundation of Guizhou Provincial Key Laboratory of Public Big Data (Grant No. 2018BDKFJJ018), the Fundamental Research Funds for Beijing Municipal Commission of Education, the Scientific Research Launch Funds of North China University of Technology, and Beijing Urban Governance Research Base of North China University of Technology.

Quantum multicast communication over the butterfly network

Xing-Bo Pan(潘兴博)1, Xiu-Bo Chen(陈秀波)1,†, Gang Xu(徐刚)2, Zhao Dou(窦钊)1, Zong-Peng Li(李宗鹏)3,4, and Yi-Xian Yang(杨义先)1   

  1. 1 Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2 School of Information Science and Technology, North China University of Technology, Beijing 100144, China;
    3 Huawei Technologies Co. Ltd, Shenzhen 518129, China;
    4 School of Computer Science, Wuhan University, Wuhan 430072, China
  • Received:2021-06-14 Revised:2021-08-13 Accepted:2021-08-25 Online:2021-12-03 Published:2021-12-31
  • Contact: Xiu-Bo Chen E-mail:cflyover100@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 92046001, 61671087, 61962009, and 61971021), the Fundamental Research Funds for the Central Universities (Grant Nos. 2019XD-A02 and 2020RC38), the Fund from Huawei Technologies Co. Ltd (Grant No. YBN2020085019), the Open Foundation of Guizhou Provincial Key Laboratory of Public Big Data (Grant No. 2018BDKFJJ018), the Fundamental Research Funds for Beijing Municipal Commission of Education, the Scientific Research Launch Funds of North China University of Technology, and Beijing Urban Governance Research Base of North China University of Technology.

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摘要： We propose a scheme where one can exploit auxiliary resources to achieve quantum multicast communication with network coding over the butterfly network. In this paper, we propose the quantum 2-pair multicast communication scheme, and extend it to k-pair multicast communication over the extended butterfly network. Firstly, an EPR pair is shared between each adjacent node on the butterfly network, and make use of local operation and classical communication to generate entangled relationship between non-adjacent nodes. Secondly, each sender adds auxiliary particles according to the multicast number k, in which the CNOT operations are applied to form the multi-particle entangled state. Finally, combined with network coding and free classical communication, quantum multicast communication based on quantum measurements is completed over the extended butterfly network. Not only the bottleneck problem is solved, but also quantum multicast communication can be completed in our scheme. At the same time, regardless of multicast number k, the maximum capacity of classical channel is 2 bits, and quantum channel is used only once.

关键词: quantum nondemolition measurement, special single particle basis, quantum network coding, quantum multicast communication

Abstract: We propose a scheme where one can exploit auxiliary resources to achieve quantum multicast communication with network coding over the butterfly network. In this paper, we propose the quantum 2-pair multicast communication scheme, and extend it to k-pair multicast communication over the extended butterfly network. Firstly, an EPR pair is shared between each adjacent node on the butterfly network, and make use of local operation and classical communication to generate entangled relationship between non-adjacent nodes. Secondly, each sender adds auxiliary particles according to the multicast number k, in which the CNOT operations are applied to form the multi-particle entangled state. Finally, combined with network coding and free classical communication, quantum multicast communication based on quantum measurements is completed over the extended butterfly network. Not only the bottleneck problem is solved, but also quantum multicast communication can be completed in our scheme. At the same time, regardless of multicast number k, the maximum capacity of classical channel is 2 bits, and quantum channel is used only once.

Key words: quantum nondemolition measurement, special single particle basis, quantum network coding, quantum multicast communication

中图分类号:  (Quantum communication)

  • 03.67.Hk
03.65.Ud (Entanglement and quantum nonlocality) 03.65.Aa (Quantum systems with finite Hilbert space) 03.67.-a (Quantum information)