Physics – Quantum Physics
Scientific paper
2009-05-20
J. Phys. A Math. Theor. 43 (2010) 145302
Physics
Quantum Physics
LaTeX2e, 10 pages, no figure. Ver. 3 corrected typographical errors in indices of Eq. (1) and its previous equation and added
Scientific paper
10.1088/1751-8113/43/14/145302
We consider a modified version of the BB84 quantum key distribution protocol in which the angle between two different bases are less than $\pi/4$. We show that the channel parameter estimate becomes the same as the original protocol with sufficiently many transmitted qubits. On the other hand, the statistical correlation between bits transmitted in one basis and those received in the other basis becomes stronger as the angle between two bases becomes narrower. If the angle is very small, the statistical correlation between bits transmitted in one basis and those received in the other basis is as strong as those received in the same basis as transmitting basis, which means that the modified protocol can generate almost twice as long secret key as the original protocol, provided that Alice and Bob choose two different bases with almost the same probability. We also point out that the reverse reconciliation often gives different amount of secret key to the direct reconciliation over Pauli channels with our modified protocol.
Matsumoto Ryutaroh
Watanabe Shun
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