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- W3105319956 endingPage "8328" @default.
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- W3105319956 abstract "After Mayers (1996, 2001) gave a proof of the security of the Bennett-Brassard 1984 (BB84) quantum key distribution protocol, Shor and Preskill (2000) made a remarkable observation that a Calderbank-Shor-Steane (CSS) code had been implicitly used in the BB84 protocol, and suggested its security could be proven by bounding the fidelity, say F(n), of the incorporated CSS code of length n in the form 1-F(n) <= exp[-n E+o(n)] for some positive number E. This work presents such a number E=E(R) as a function of the rate of a code R, and a threshold R' such that E(R)>0 whenever R < R', which is larger than the achievable rate based on the Gilbert-Varshamov bound that is essentially due to Shor and Preskill (2000). The codes in the present work are robust against fluctuations of channel parameters, which fact is needed to establish the security rigorously and was not proved for rates above the Gilbert-Varshamov rate before in the literature. As a byproduct, the security of a modified BB84 protocol against any joint (coherent) attacks is proved quantitatively." @default.
- W3105319956 created "2020-11-23" @default.
- W3105319956 creator A5051920182 @default.
- W3105319956 date "2004-08-12" @default.
- W3105319956 modified "2023-09-25" @default.
- W3105319956 title "Reliability of Calderbank–Shor–Steane codes and security of quantum key distribution" @default.
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- W3105319956 doi "https://doi.org/10.1088/0305-4470/37/34/009" @default.
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