Abstract
This paper proposes a quantum network coding scheme for general repeater networks so as to support long-distance quantum communication over quantum repeater networks with complex topology. The scheme includes three core parts: graph transformation, quantum channel generation, quantum information transmission. Concretely, the degree-3 \(({{D}_{3}})\) graph transformation scheme is introduced, the quantum channel generation schemes for the cases of one-to-many, many-to-one, and many-to-many are given, and quantum information is transmitted by means of quantum teleportation. Without limitation of preparation, entangled states with arbitrary entanglement degree can be consumed as a resource of quantum communication. Scheme analysis shows that the proposed quantum network coding scheme can realize high-rate and long-distance transmission of quantum information in general networks.










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Acknowledgments
The authors acknowledge the support provided by the Research Promotion Grants-in-Aid for KUT Graduates of Special Scholarship Program, the National Basic Research Program of China (No. 2012CB315905), the National Natural Science Foundation of China (No. 61272501), and the Fundamental Research Funds for Central Universities (No. YWF15GJSYS059) for valuable helps.
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Shang, T., Li, J., Pei, Z. et al. Quantum network coding for general repeater networks. Quantum Inf Process 14, 3533–3552 (2015). https://doi.org/10.1007/s11128-015-1066-1
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DOI: https://doi.org/10.1007/s11128-015-1066-1