Optimal Eavesdropping in Quantum Cryptography. I

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dc.creatorFuchs, Christopher A.
dc.creatorGisin, Nicolas
dc.creatorGriffiths, Robert B.
dc.creatorNiu, Chi-Sheng
dc.creatorPeres, Asher
dc.date1997-01-30
dc.date.accessioned2026-07-07T06:14:08Z
dc.date.available2026-07-07T06:14:08Z
dc.descriptionWe consider the Bennett-Brassard cryptographic scheme, which uses two conjugate quantum bases. An eavesdropper who attempts to obtain information on qubits sent in one of the bases causes a disturbance to qubits sent in the other basis. We derive an upper bound to the accessible information in one basis, for a given error rate in the conjugate basis. Independently fixing the error rate in the conjugate bases, we show that both bounds can be attained simultaneously by an optimal eavesdropping probe, consisting of two qubits. The qubits' interaction and their subsequent measurement are described explicitly. These results are combined to give an expression for the optimal information an eavesdropper can obtain for a given average disturbance when her interaction and measurements are performed signal by signal. Finally, the relation between quantum cryptography and violations of Bell's inequalities is discussed.
dc.description26 pages, LaTeX, no special macros, 3 PostScript figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9701039
dc.identifierhttp://arxiv.org/abs/quant-ph/9701039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93350
dc.subjectQuantum Physics
dc.titleOptimal Eavesdropping in Quantum Cryptography. I
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