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Quantum Network Coding Based on Entanglement Distribution

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Artificial Intelligence and Security (ICAIS 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11635))

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Abstract

Quantum network coding (QNC) is a new technology of quantum network communication. Since QNC can maximize the communication efficiency of quantum communication networks, it receives wide attention. As an important quantum communication resource, quantum entanglement plays a key role in the field of quantum communication and quantum computation, of course, including QNC. Several typical QNC schemes require quantum entanglement to achieve lossless quantum communication. However, none of these previous schemes mentioned the formation and distribution of quantum entanglement. Moreover, the entangled resources required by these schemes are more demanding and the required experimental environment is harsh, which is difficult to operate in practice. Therefore, with the help of entanglement distribution by separable states and probabilistic cloning, we propose a novel quantum network coding scheme based on entanglement distribution. This scheme can successfully achieve quantum entanglement distribution in the butterfly network. It is efficient in the use of quantum resources and has stronger resistance to environmental noise and other disturbances. We also point out that quantum discord, as a more general quantum communication resource, controls the realization of the whole communication process.

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References

  1. Tan, X.Q., Li, X.C., Yang, P.: Perfect quantum teleportation via Bell states. Comput. Mater. Continua 57(3), 495–503 (2018)

    Article  Google Scholar 

  2. Zhong, J.F., Liu, Z.H., Xu, J.: Analysis and improvement of an efficient controlled quantum secure direct communication and authentication protocol. Comput. Mater. Continua 57(3), 621–633 (2018)

    Article  Google Scholar 

  3. Hayashi, M., Iwama, K., Nishimura, H., Raymond, R., Yamashita, S.: Quantum network coding. In: Thomas, W., Weil, P. (eds.) STACS 2007. LNCS, vol. 4393, pp. 610–621. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-70918-3_52

    Chapter  Google Scholar 

  4. Buzek, V., Hillery, M.: Quantum copying: beyond the no-cloning theorem. Phys. Rev. A 54, 1844 (1996)

    Article  MathSciNet  Google Scholar 

  5. Hayashi, M.: Prior entanglement between senders enables perfect quantum network coding with modification. Phys. Rev. A 76(4), 538–538 (2012)

    MathSciNet  Google Scholar 

  6. Kobayashi, H., Le Gall, F., Nishimura, H., Rötteler, M.: General scheme for perfect quantum network coding with free classical communication. In: Albers, S., Marchetti-Spaccamela, A., Matias, Y., Nikoletseas, S., Thomas, W. (eds.) ICALP 2009. LNCS, vol. 5555, pp. 622–633. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-02927-1_52

    Chapter  Google Scholar 

  7. Bennett, C.H., Divincenzo, D.P.: Quantum information and computation. Nature 48(10), 24–30 (1995)

    Google Scholar 

  8. Cubitt, T.S., Verstraete, F., Dr, W., Cirac, J.I.: Separable states can be used to distribute entanglement. Phys. Rev. Lett. 91(3), 037902 (2003)

    Article  Google Scholar 

  9. Bennett, C.H., Divincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54(5), 3824 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  10. Vidal, G., Tarrach, R.: Robustness of entanglement. Phys. Rev. A 59(1), 141–155 (1999)

    Article  MathSciNet  Google Scholar 

  11. Braunstein, S.L., Caves, C.M., Jozsa, R., Linden, N., Popescu, S., Schack, R.: Separability of very noisy mixed states and implications for NMR quantum computing. Physics 83(5), 1054–1057 (1998)

    Google Scholar 

  12. Kay, A.: Using separable bell-diagonal states to distribute entanglement. Phys. Rev. Lett. 109(8), 080503 (2012)

    Article  Google Scholar 

  13. Fedrizzi, A., Zuppardo, M., Gillett, G.G., Broome, M.A., Almeida, M.P., Paternostro, M., et al.: Experimental distribution of entanglement with separable carriers. Phys. Rev. Lett. 111(23), 230504 (2013)

    Article  Google Scholar 

  14. Satoh, T., Le Gall, F., Imai, H.: Quantum network coding for quantum repeaters. Phys. Rev. A 86(3), 032331 (2012)

    Article  Google Scholar 

  15. Wang, M.H., Cai, Q.Y.: High fidelity quantum cloning of two known nonorthogonal quantum states via weak measurement. arXiv:1806.08112v1 [quant-ph] (2018)

  16. Mozyrsky, D., Privman, V., Hillery, M.: A Hamiltonian for quantum copying. Phys. Lett. A 226(5), 253–256 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  17. Gisin, N., Massar, S.: Optimal quantum cloning machines. Phys. Rev. Lett. 79(11), 2153–2156 (1997)

    Article  Google Scholar 

  18. Duan, L.M., Guo, G.C.: Probabilistic cloning and identification of linearly independent quantum states. Physics 80(22), 4999–5002 (1998)

    Google Scholar 

  19. Duan, L.M., Guo, G.C.: A probabilistic cloning machine for replicating two non-orthogonal states. Phys. Lett. A 243(5–6), 261–264 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  20. Piani, M., Gharibian, S., Adesso, G., Calsamiglia, J., Horodecki, P., Winter, A.: All nonclassical correlations can be activated into distillable entanglement. Phys. Rev. Lett. 106(22), 220403 (2011)

    Article  Google Scholar 

  21. Nielsen, M.A., Isaac, C.: Quantum Computation and Quantum Information. Cambridge (2002)

    Google Scholar 

  22. Bennett, C.H., Shor, P.W.: Quantum information theory. Rep. Math. Phys. 10(1), 43–72 (1998)

    MathSciNet  MATH  Google Scholar 

  23. Abeyesinghe, A., Devetak, I., Hayden, P., Winter, A.: The mother of all protocols: restructuring quantum information’s family tree. Proc. Math. Phys. Eng. Sci. 465(2108), 2537–2563 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  24. Madhok, V., Animesh, D.: Quantum discord as a resource in quantum communication. Int. J. Modern Phys. B 27(01n03), 1345041 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  25. Killoran, N., Steinhoff, F.E., Plenio, M.B.: Converting nonclassicality into entanglement. Phys. Rev. Lett. 116(8), 080402 (2015)

    Article  Google Scholar 

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Acknowledgment

This project was supported by the National Natural Science Foundation of China (No. 61571024) for valuable helps.

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Correspondence to Tao Shang .

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Shang, T., Liu, R., Fang, C., Liu, J. (2019). Quantum Network Coding Based on Entanglement Distribution. In: Sun, X., Pan, Z., Bertino, E. (eds) Artificial Intelligence and Security. ICAIS 2019. Lecture Notes in Computer Science(), vol 11635. Springer, Cham. https://doi.org/10.1007/978-3-030-24268-8_2

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  • DOI: https://doi.org/10.1007/978-3-030-24268-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-24267-1

  • Online ISBN: 978-3-030-24268-8

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