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Phys. Rev. Lett. 103, 170503 (2009) [4 pages]

Unconditional Security of Single-Photon Differential Phase Shift Quantum Key Distribution

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Kai Wen1, Kiyoshi Tamaki2,3, and Yoshihisa Yamamoto1,4
1Edward L. Ginzton Laboratory, Stanford University, Stanford, California 94305, USA
2NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato Wakamiya Atsugi-Shi, Kanagawa, 243-0198, Japan
3CREST, JST Agency, 4-1-8 Honcho, Kawaguchi, Saitana, 332-0012, Japan
4National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo, 101-843, Japan

Received 16 June 2008; published 22 October 2009

In this Letter, we prove the unconditional security of the single-photon differential phase shift quantum key distribution (DPS-QKD) protocol, based on the conversion to an equivalent entanglement-based protocol. We estimate the upper bound of the phase error rate from the bit error rate, and show that the DPS-QKD protocol can generate an unconditionally secure key when the bit error rate is not greater than 4.12%. This proof is the first step to the unconditional security proof of a coherent state DPS-QKD.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.170503
DOI:
10.1103/PhysRevLett.103.170503
PACS:
03.67.Dd, 03.67.Hk