Presentation 2012-05-18
Incompleteness of Criterion for Information Theoretically Secure Key Agreement
Osamu HIROTA,
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Abstract(in English) Despite theoretical haughty claim on the security of quantum key distribution (QKD), even the security for the basic model of the QKD is still not established rigorously. One of the main problems is that the wrong criterions are applied to the generated key in QKD. The current theory of the security of QKD is based on the trace distance by Renner. This idea comes from the indistinguishability theory in the mathematical cipher. In any criterion, when the upper bound is zero, these have no problem. However, these become non zero when the system parameters are finite that is an essential requirement for the realization of the system. Once when these are not zero, one needs the operational meaning as the cryptography. So far, H.P.Yuen and our group have warned the QKD community that the information theoretic security cannot be evaluated by a simple one criterion such as the trace distance. In this letter, we introduce the correct evaluation of QKD, and explain that any BB-84 QKD system cannot provide the crypto-system with unbreakable security under the real situation. As examples, we show that QKD systems analyzed by Tamaki (NTT) and Tsurumaru (Mitsubishi) have meaningless security, and that the key rate of NEC system becomes minus.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Information theoretic security / Quantum key distribution
Paper # ISEC2012-2
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Committee ISEC
Conference Date 2012/5/11(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Incompleteness of Criterion for Information Theoretically Secure Key Agreement
Sub Title (in English)
Keyword(1) Information theoretic security
Keyword(2) Quantum key distribution
1st Author's Name Osamu HIROTA
1st Author's Affiliation Quantum ICT Research Institute, Tamagawa University()
Date 2012-05-18
Paper # ISEC2012-2
Volume (vol) vol.112
Number (no) 39
Page pp.pp.-
#Pages 6
Date of Issue