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Phys. Rev. A 72, 032340 (2005) [8 pages]

Robustness of a quantum key distribution with two and three mutually unbiased bases

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F. Caruso1, H. Bechmann-Pasquinucci2,3, and C. Macchiavello2
1Scuola Superiore di Catania, via S. Paolo 73, I-95123 Catania, Italy
2Dipartimento di Fisica “A. Volta,” Unità di Pavia, Via Bassi 6, I-27100 Pavia, Italy
3UCCI.IT, via Olmo 26, I-23888 Rovagnate, Italy

Received 23 May 2005; published 30 September 2005

We study the robustness of various protocols for quantum key distributions. We first consider the case of qutrits and study quantum protocols that employ two and three mutually unbiased bases. We then derive the optimal eavesdropping strategy for two mutually unbiased bases in dimension 4 and generalize the result to a quantum key distribution protocol that uses two mutually unbiased bases in arbitrary finite dimensions.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.032340
DOI:
10.1103/PhysRevA.72.032340
PACS:
03.67.Dd, 03.67.Hk