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On the resistance of quantum cryptography with mixed bases on composite photons, polarization qutrits

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Abstract

An experimental scheme for the preparation and measurement of correlated pairs of photons, i.e., polarization qutrits, was previously proposed. The resistance of quantum key distribution on polarization qubits has been analyzed in this work. The joint use of unmixed and mixed bases allows a significant increase in the critical error as compared to other protocols.

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References

  1. H. Bechmann-Pasquinucci and N. Gisin, Phys. Rev. A 59, 4238 (1999).

    Article  MathSciNet  ADS  Google Scholar 

  2. N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127902 (2002).

    Article  ADS  Google Scholar 

  3. C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computer Systems and Signal Processing (Bangalore, India, 1984), p. 175.

    Google Scholar 

  4. P. Shor and J. Preskill, Phys. Rev. Lett. 85, 441 (2000).

    Article  ADS  Google Scholar 

  5. N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, Phys. Rev. Lett. 88, 127902–1 (2002).

    Article  ADS  Google Scholar 

  6. F. Caruso, H. Bechmann-Pasquinucc, and C. Macchiavello, Phys. Rev. A 72, 032340–1 (2005).

    Article  ADS  Google Scholar 

  7. L. Sheridan and V. Scarani, Phys. Rev. A 82, 030301(R) (2010).

    Article  ADS  Google Scholar 

  8. I. D. Ivanovic, J. Phys. A 14, 3241 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  9. W. K. Wootters and B. D. Fields, Ann. Phys. 191, 363 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  10. A. Klappenecker and M. Rötteler, Constructions of Mutually Unbiased Bases (Springer, Berlin, 2004).

    Google Scholar 

  11. M. Grassl, quant-ph/0406175.

  12. C. Archer, J. Math. Phys. 46, 022106 (2005); quantph/0312204.

    Article  MathSciNet  ADS  Google Scholar 

  13. I. Bengtsson, W. Bruzda, A. Ericsson, J.-A. Larsson, W. Tadej, and K. Zyczkowski, quant-ph/0610161.

  14. P. Wocjan and T. Beth, quant-ph/0407081.

  15. S. P. Kulik, S. N. Molotkov, and I. V. Radchenko, JETP Lett. 96, 336 (2012).

    Article  ADS  Google Scholar 

  16. D. N. Klyshko, Report on All-Union Workshop on Nonlinear Properties of Mediums, Chernogolovka, 1966; D. N. Klyshko, JETP Lett. 6, 23 (1967).

    Google Scholar 

  17. D. N. Klyshko, A. N. Penin, and B. F. Polkovnikov, JETP Lett. 11, 5 (1970).

    ADS  Google Scholar 

  18. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).

    MATH  Google Scholar 

  19. R. Renner, PhD Thesis (ETH Zürich, 2005).

  20. A. S. Kholevo, Quantum Systems, Channels, Information (MTsMO, Moscow, 2010), p. 327 [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

    S. N. Molotkov

  2. Academy of Cryptography of the Russian Federation, Novyi Arbat 19, Moscow, 103025, Russia

    S. N. Molotkov

  3. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    S. N. Molotkov

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  1. S. N. Molotkov
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Correspondence to S. N. Molotkov.

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Original Russian Text © S.N. Molotkov, 2014, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 99, No. 12, pp. 832–836.

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Molotkov, S.N. On the resistance of quantum cryptography with mixed bases on composite photons, polarization qutrits. Jetp Lett. 99, 720–724 (2014). https://doi.org/10.1134/S0021364014120108

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  • DOI: https://doi.org/10.1134/S0021364014120108

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