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Eavesdropper's Optimal Information in Variations of Bennett-Brassard 1984 Quantum Key Distribution in the Coherent Attacks

Hwang, W Y, Ahn, D, Hwang, S W

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Abstract

First, we calculate eavesdropper's optimal information on raw bits in Bennett-Brassard 1984 quantum key distribution (BB84 QKD) scheme and six-states one in coherent attacks, using the method by Lo and Chau [Science {\\bf 283}, 2050 (1999)]. Next, we show that eavesdropper's optimal information in multiple-basis scheme is the same as that of six-states one. Then, we consider QKD without public announcement of bases [Phys. Lett. A {\\bf244}(1998), 489]: we find that eavesdropper's optimal information in it is the same as that of a corresponding QKD with public announcement of bases. This fact suggests that QKD without public announcement of bases is as secure as BB84 scheme even in coherent attacks.

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What this paper is about

First, we calculate eavesdropper's optimal information on raw bits in Bennett-Brassard 1984 quantum key distribution (BB84 QKD) scheme and six-states one in coherent attacks, using the method by Lo and Chau [Science {\\bf 283}, 2050 (1999)]. Next, we show that eavesdropper's optimal information in multiple-basis scheme is the same as that of six-states one. Then, we consider QKD without public announcement of bases [Phys. Lett. A {\\bf244}(1998), 489]: we find that eavesdropper's optimal information in it is the same as that of a corresponding QKD with public announcement of bases. This fact suggests that QKD without public announcement of bases is as secure as BB84 scheme even in coherent attacks.

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Available abstract

First, we calculate eavesdropper's optimal information on raw bits in Bennett-Brassard 1984 quantum key distribution (BB84 QKD) scheme and six-states one in coherent attacks, using the method by Lo and Chau [Science {\\bf 283}, 2050 (1999)]. Next, we show that eavesdropper's optimal information in multiple-basis scheme is the same as that of six-states one. Then, we consider QKD without public announcement of bases [Phys. Lett. A {\\bf244}(1998), 489]: we find that eavesdropper's optimal information in it is the same as that of a corresponding QKD with public announcement of bases. This fact suggests that QKD without public announcement of bases is as secure as BB84 scheme even in coherent attacks.

Key concepts: Quantum key distribution, BB84, Physics, Coherent states, Quantum cryptography, Key (lock), Quantum mechanics, Photon

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