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Phys. Rev. Lett. 92, 117901 (2004) [4 pages]

Practical Limitation for Continuous-Variable Quantum Cryptography using Coherent States

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Ryo Namiki* and Takuya Hirano
CREST Research Team for Photonic Quantum Information, Department of Physics, Gakushuin University, Mejiro 1-5-1, Toshima-ku, Tokyo 171-8588, Japan

Received 20 May 2003; revised 8 January 2004; published 16 March 2004

In this Letter, first, we investigate the security of a continuous-variable quantum cryptographic scheme with a postselection process against individual beam splitting attack. It is shown that the scheme can be secure in the presence of the transmission loss owing to the postselection. Second, we provide a loss limit for continuous-variable quantum cryptography using coherent states taking into account excess Gausian noise on quadrature distribution. Since the excess noise is reduced by the loss mechanism, a realistic intercept-resend attack which makes a Gaussian mixture of coherent states gives a loss limit in the presence of any excess Gaussian noise.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.117901
DOI:
10.1103/PhysRevLett.92.117901
PACS:
03.67.Dd, 42.50.Lc

*Electronic address: namiki@qo.phys.gakushuin.ac.jp