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Proof of unconditional security of six-state quatum key distribution scheme

LoHoi-Kwong

We prove the unconditional security of the standard six-state scheme for quantum key distribution (QKD). We demonstrate its unconditional security up to a bit error rate of 12.7 percents, by allowi...

Quantum Information and ComputationAug 1, 20014 citations

Proof of unconditional security of six-state quantum key distribution scheme

Hoi‐Kwong Lo

We prove the unconditional security of the standard six-state scheme for quantum key distribution (QKD). We demonstrate its unconditional security up to a bit error rate of 12.7 percents, by allowing only one-way classical communications in the error correction/privacy amplification procedure between Alice and Bob. This shows a clear advantage of the six-state scheme over another standard scheme---BB84, which has been proven to be secure up to only about 11 percents, if only one-way classical communications are allowed. Our proof technique is a generalization of that of Shor-Preskill's proof of security of BB84. We show that a advantage of the six-state scheme lies in the Alice and Bob's ability to establish rigorously from their test sample the non-trivial mutual information between the bit-flip and phase error patterns. A modified version of the degenerate quantum codes studied by DiVincenzo, Shor and Smolin is employed in our proof.We prove the unconditional security of the standard six-state scheme for quantum key distribution (QKD). We demonstrate its unconditional security up to a bit error rate of 12.7 percents, by allowing only one-way classical communications in the error correction/privacy amplification procedure between Alice and Bob. This shows a clear advantage of the six-state scheme over another standard scheme---BB84, which has been proven to be secure up to only about 11 percents, if only one-way classical communications are allowed. Our proof technique is a generalization of that of Shor-Preskill's proof of security of BB84. We show that a advantage of the six-state scheme lies in the Alice and Bob's ability to establish rigorously from their test sample the non-trivial mutual information between the bit-flip and phase error patterns. A modified version of the degenerate quantum codes studied by DiVincenzo, Shor and Smolin is employed in our proof.

arXiv:quant-ph/0102138Feb 27, 20013 citations

Efficient Quantum Key Distribution Scheme and a Proof of Its Unconditional Security

Hoi‐Kwong Lo, H. F. Chau, M. Ardehali

Journal of CryptologyMar 3, 2004558 citations

Finite Key Analysis in Quantum Cryptography

Tim Meyer

In view of experimental realization of quantum key distribution schemes, the study of their efficiency becomes as important as the proof of their security. The latter is the subject of most of the theoretical work about quantum key distribution, and many important results such as the proof of unconditional security have been obtained. The

Jan 1, 20072 citations

Fundamental and practical problems of QKD security: the actual and perceived situation

Horace P. Yuen

It is widely believed that quantum key distribution (QKD) has been proved unconditionally secure for realistic models applicable to various current experimental schemes. Here we summarize briefly why this is not the case, from both the viewpoints of fundamental quantitative security and applicable models of security analysis, with some morals drawn.

arXiv:1109.1066Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEOct 6, 20113 citations

A Formal Approach to Unconditional Security Proofs for Quantum Key Distribution

Takahiro Kubota, Yoshihiko Kakutani, Go Kato +1 more

Lecture notes in computer scienceJan 1, 20112 citations

Proof of unconditional security of six-state quantum key distribution scheme

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Proof of unconditional security of six-state quantum key distribution scheme

Abstract

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