Attack of Many Eavesdroppers via Optimal Strategy in Quantum Cryptography

Details Attack of Many Eavesdroppers via Optimal Strategy in Quantum Cryptography Attack of Many Eavesdroppers via Optimal Strategy in Quantum Cryptography

2009-01-14

arxiv.org/abs/0901.1932v1

Phys. Rev. A79 (2009) 032339

Physics

Quantum Physics

17 pages, 8 figures

Scientific paper

10.1103/PhysRevA.79.032339

We examine a situation that $n$ eavesdroppers attack the Bennett-Brassard cryptographic protocol via their own optimal and symmetric strategies. Information gain and mutual information with sender for each eavesdropper are explicitly derived. The receiver's error rate for the case of arbitrary $n$ eavesdroppers can be derived using a recursive relation. Although first eavesdropper can get mutual information without disturbance arising due to other eavesdroppers, subsequent eavesdropping generally increases the receiver's error rate. Other eavesdroppers cannot gain information on the input signal sufficiently. As a result, the information each eavesdropper gains becomes less than optimal one.

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