Abstract
We propose a secure quantum-network protocol using Greenberger–Horne–Zeilinger (GHZ) tripartite deformed states. Alice and Bob share a secure key by exchanging the entangled deformed states without basis reconciliation. We investigate a perfect transmission efficiency in a perfect quantum channel. The security of the protocol is ensured by the deformed and correlated tripartite states, which allows us to detect any eavesdropping easily.
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References
A. Ekert and R. Jozsa, Rev. Mod. Phys., 68, 733 (1996).
D. P. Divincenzo, Science, 270, 255 (1995).
C. H. Bennett, G. Brassard, Claude Crépeau, et al., Phys. Rev. Lett., 70, 1895 (1993).
A. K. Ekert, Phys. Rev. Lett., 67, 661 (1991).
C. H. Bennett, G. Brassard, and N. D. Mermin, Phys. Rev. Lett., 68, 557 (1992).
C. H. Bennett, F. Bessette, G. Brassard, et al., J. Cryptogr., 5, 3 (1992).
J. Perskill, Proc. R. Soc. London, 454, 385 (1998).
S. D. Huver, C. F. Wildfeuer, and J. P. Dowling, Phys. Rev. A, 78, 063828 (2008).
G. Brassard, N. Lütkenhaus, T. Mor, and B. C. Sanders, Phys. Rev. Lett., 85, 1330 (2000).
P. W. Shor and J. Preskill, Phys. Rev. Lett., 85, 441 (2000).
N. Lütkenhaus, Phys. Rev. A, 61, 052304 (2000).
V. Scarani, A. Acin, G. Ribordy, and N. Gisin, Phys. Rev. Lett., bf 92, 057901 (2004).
D. Gottesman, H.-K. Lo, N. Lütkenhaus, and J. Preskill, J. Quantum Inform. Comput., 4, 325 (2004).
V. Makarov, A. Anisimov, and J. Skaar, Phys. Rev. A, 74, 022313 (2006); Erratum, ibid., 78, 019905 (2008).
C.-H. F. Fung, K. Tamaki, B. Qi, et al., J. Quantum Inform. Comput., 9, 131 (2009).
J. Barrett, R. Colbeck, and A. Kent, Phys. Rev. Lett., 110, 010503 (2013).
S. Cova, M. Ghioni, A. Lotito, et al., J. Mod. Opt., 51, 1267 (2004).
V. Makarov and D. R. Hjelme, J. Mod. Opt., 52, 691 (2005).
A. Lamas-Linares and C. Kurtsiefer, Opt. Express, 15, 9388 (2007).
B. Qi, C.-H. F. Fung, H.-K. Lo, and X. Ma, J. Quantum Inform. Comput., 7, 73 (2007).
Y. Zhao, C.-H. F. Fung, B. Qi, et al., Phys. Rev. A, 78, 042333 (2008).
S. Nauerth, M. Fürst, T. Schmitt-Manderbach, et al., New J. Phys., 11, 065001 (2009).
L. Lydersen, C. Wiechers, C. Wittmann, et al., Nature Photonics, 4, 686 (2010).
A. El Allati, M. El Baz, and Y. Hassouni, J. Quantum Inform. Comput., 10, 589 (2011).
H. Eleuch and R. Bennaceur, J. Opt. B: Quantum Semiclass. Opt., 6, 189 (2004).
K. Berrada, M. El Baz, and Y. Hassouni, Phys. Lett. A, 375, 298 (2011).
K. Berrada, M. El Baz, and Y. Hassouni, J. Stat. Phys., 142, 510 (2011).
K. Berrada, M. El Baz, and Y. Hassouni, Rep. Math. Phys., 68, 23 (2011).
E. M. F. Curado, M. A. Rego-Monteiro, L. M. C. S. Rodrigues, and Y. Hassouni, Physica A, 371, 16 (2006).
R. J. Glauber, Phys. Rev., 131, 2766 (1963).
A. M. Perelomov, Commun. Math. Phys., 26, 222 (1972).
A. M. Perelomov, Generalized Coherent States and Their Applications, Springer, New York (1986).
V. V. Dodonov, I. A. Malkin, and V. I. Man’ko, Physica, 72, 597 (1974).
B. C. Sanders, Phys. Rev. A, 45, 6811 (1992).
X. Wang, B. C. Sanders, and S. H. Pan, J. Phys. A: Math. Gen., 33, 7451 (2000).
P. Domokos and M. G. Benedict, Phys. Lett. A, 372, 3792 (2008).
X. Wang, B. C. Sanders, and S. Pan, J. Phys. A. Math. Gen., 33, 7451 (2000).
J. R. Klauder and B. Skagertam, Physics and Mathematical Physics, World Scientific, Singapore (1985).
A. Inomata, H. Kuratsuji, and C. Gerry, Path integrals and coherent states of SU(2) and SU(1,1), World Scientific, Singapore (1992).
V. I. Man’ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria, Phys. Scr., 55, 528 (1997).
T. Oikonomou and G. B. Bagci, J. Math. Phys., 50, 103301 (2009).
S. Hill and W. K. Wootters, Phys. Rev. Lett., 78, 5022 (1997).
W. K. Wootters, Phys. Rev. Lett., 80, 2245 (1998).
C. H. Bennett and G. Brassard, in: Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing (Bangalore, India, December 1984), IEEE Publishers, New York (1984), p. 175.
C. H. Bennett, F. Bessette, G. Brassard, et al., J. Cryptogr., 5, 3 (1992).
C. H. Bennett, Phys. Rev. Lett., 68, 3121 (1992).
K. Boström and T. Felbinger, Phys. Rev. Lett., 89, 187902 (2002).
W. K. Wootters and W. H. Zurek, Nature, 299, 802 (1982).
F. Grosshans, G. Van Assche, J. Wenger, et al., Nature, 421, 238 (2003).
S. Iblisdir, G. Van Assche, and N. J. Cerf, Phys. Rev. Lett., 93, 170502 (2004).
R. Garca-Patrn and N. J. Cerf, Phys. Rev. Lett., 97, 190503 (2006).
R. Renner and J. I. Cirac, Phys. Rev. Lett., 102, 110504 (2009).
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Meslouhi, A., Amellal, H., Hassouni, Y. et al. A Secure Quantum Communication via Deformed Tripartite Coherent States. J Russ Laser Res 35, 369–382 (2014). https://doi.org/10.1007/s10946-014-9438-z
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DOI: https://doi.org/10.1007/s10946-014-9438-z