Security Against Collective Attacks of a Modified BB84 QKD Protocol with Information only in One Basis

Michel Boyer, Rotem Liss, Tal Mor

2017

Abstract

The Quantum Key Distribution (QKD) protocol BB84 has been proven secure against several important types of attacks: the collective attacks and the joint attacks. Here we analyze the security of a modified BB84 protocol, for which information is sent only in the z basis while testing is done in both the z and the x bases, against collective attacks. The proof follows the framework of a previous paper (Boyer et al., 2009), but it avoids the classical information-theoretical analysis that caused problems with composability. We show that this modified BB84 protocol is as secure against collective attacks as the original BB84 protocol, and that it requires more bits for testing.

References

  1. Bennett, C. H. and Brassard, G. (1984). Quantum cryptography: Public key distribution and coin tossing. In International Conference on Computers, Systems & Signal Processing, IEEE, 1984, pages 175-179.
  2. Biham, E., Boyer, M., Boykin, O. P., Mor, T., and Roychowdhury, V. (2006). A proof of the security of quantum key distribution. J. Cryptol., 19(4):381-439.
  3. Biham, E., Boyer, M., Brassard, G., van de Graaf, J., and Mor, T. (2002). Security of quantum key distribution against all collective attacks. Algorithmica, 34(4):372-388.
  4. Biham, E. and Mor, T. (1997a). Bounds on information and the security of quantum cryptography. Phys. Rev. Lett., 79:4034-4037.
  5. Biham, E. and Mor, T. (1997b). Security of quantum cryptography against collective attacks. Phys. Rev. Lett., 78:2256-2259.
  6. Boyer, M., Gelles, R., and Mor, T. (2009). Security of the bennett-brassard quantum key distribution protocol against collective attacks. Algorithms, 2(2):790- 807.
  7. Christandl, M., König, R., and Renner, R. (2009). Postselection technique for quantum channels with applications to quantum cryptography. Phys. Rev. Lett., 102:020504.
  8. Mayers, D. (2001). Unconditional security in quantum cryptography. J. ACM, 48(3):351-406.
  9. Nielsen, M. A. and Chuang, I. L. (2010). Quantum computation and quantum information. Cambridge university press.
  10. Renner, R. (2008). Security of quantum key distribution. Int. J. Quantum Inf., 6(01):1-127.
  11. Renner, R., Gisin, N., and Kraus, B. (2005). Informationtheoretic security proof for quantum-key-distribution protocols. Phys. Rev. A, 72:012332.
  12. Shor, P. W. and Preskill, J. (2000). Simple proof of security of the bb84 quantum key distribution protocol. Phys. Rev. Lett., 85:441-444.
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Paper Citation


in Harvard Style

Boyer M., Liss R. and Mor T. (2017). Security Against Collective Attacks of a Modified BB84 QKD Protocol with Information only in One Basis . In Proceedings of the 2nd International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS, ISBN 978-989-758-244-8, pages 23-29. DOI: 10.5220/0006241000230029


in Bibtex Style

@conference{complexis17,
author={Michel Boyer and Rotem Liss and Tal Mor},
title={Security Against Collective Attacks of a Modified BB84 QKD Protocol with Information only in One Basis},
booktitle={Proceedings of the 2nd International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS,},
year={2017},
pages={23-29},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006241000230029},
isbn={978-989-758-244-8},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 2nd International Conference on Complexity, Future Information Systems and Risk - Volume 1: COMPLEXIS,
TI - Security Against Collective Attacks of a Modified BB84 QKD Protocol with Information only in One Basis
SN - 978-989-758-244-8
AU - Boyer M.
AU - Liss R.
AU - Mor T.
PY - 2017
SP - 23
EP - 29
DO - 10.5220/0006241000230029