Ryutaroh Matsumoto and Shun Watanabe 2010 J. Phys. A: Math. Theor. 43 145302 doi:10.1088/1751-8113/43/14/145302
Narrow basis angle doubles secret key in the BB84 protocol
Ryutaroh Matsumoto1 and Shun Watanabe2
Show affiliationsWe consider a modified version of the BB84 quantum key distribution protocol in which the angle between two different bases is less than π/4. We show that the channel parameter estimate becomes the same as the original protocol with sufficiently 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 the transmitting basis, which means that the modified protocol can generate almost twice as long secret key as in 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 a different amount of secret key to the direct reconciliation over Pauli channels with our modified protocol.
- PACS
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03.67.Dd Quantum cryptography and communication security
84.40.Ua Telecommunications: signal transmission and processing; communication satellites
03.67.Lx Quantum computation architectures and implementations
- MSC
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81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
- Dates
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Issue 14 (9 April 2010)
Received 29 May 2009
Published 16 March 2010
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Narrow basis angle doubles secret key in the BB84 protocol
Ryutaroh Matsumoto and Shun Watanabe 2010 J. Phys. A: Math. Theor. 43 145302
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