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Network coding for quantum cooperative multicast

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Abstract

Cooperative communication is starting to attract substantial research attention in quantum information theory. However, given a specific network, it is still unknown whether quantum cooperative communication can be successfully performed. In this paper, we investigate network coding for quantum cooperative multicast (QCM) over the classic butterfly network. A very reasonable definition of QCM is first introduced. It not only perfectly focuses on the basic idea of quantum cooperative communication, but also wonderfully reflects the characteristic of classical multicast over a specific network structure. Next, we design QCM protocol for two-level systems and generalize the protocol into d-dimensional Hilbert space. It is shown that our protocols have significant advantages in terms of resource cost and compatibility with classical multicast. Besides, the success probability, which only depends on the coefficients of the initial quantum states, is carefully analyzed. In particular if the source nodes choose the quantum equatorial states, success probability can reach 1.

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Acknowledgments

This work has been supported by NSFC (Grant Nos. 61272514, 61170272, 61121061, 61411146001), NCET (Grant No. NCET-13-0681), the National Development Foundation for Cryptological Research (Grant No. MMJJ201401012), the Fok Ying Tung Education Foundation (Grant No. 131067), the NSERC (RT733206) and China Scholarship Council (CSC).

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Authors and Affiliations

  1. School of Software Engineering, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Gang Xu & Cong Wang

  2. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Gang Xu, Xiu-Bo Chen, Jing Li & Yi-Xian Yang

  3. Department of Computer Science, University of Calgary, Calgary, AB, T2N 1N4, Canada

    Gang Xu & Zongpeng Li

Authors
  1. Gang Xu
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  2. Xiu-Bo Chen
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  3. Jing Li
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  4. Cong Wang
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  5. Yi-Xian Yang
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  6. Zongpeng Li
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Corresponding authors

Correspondence to Gang Xu or Xiu-Bo Chen.

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Xu, G., Chen, XB., Li, J. et al. Network coding for quantum cooperative multicast. Quantum Inf Process 14, 4297–4322 (2015). https://doi.org/10.1007/s11128-015-1098-6

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  • DOI: https://doi.org/10.1007/s11128-015-1098-6

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