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Optimal eavesdropping in quantum cryptography. I. Information bound and optimal strategy

Fuchs, Christopher A., Gisin, Nicolas, Griffiths, Robert B., Niu, Chi-Sheng, Peres, Asher·1997·Physical Review A

Abstract

We 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 rates in the conjugate bases, we show that both bounds can be attained simultaneously by an optimal eavesdropping probe. The probe interaction and its 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.

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Metadata

Authors
Fuchs, C. A., Gisin, N., Griffiths, R. B., Niu, C.-S., & Peres, A.
Venue
Physical Review A
Published
1997-08-01
Volume
56
Issue
2
Pages
1163-1172
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
OpenAlex
W2060333719
Cited by
474
References
3
FWCI
23.78
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Optimal eavesdropping in quantum cryptography. I. Information bound and optimal strategy. https://app.cochat.ai/papers/10.1103/physreva.56.1163
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Fuchs, C. A., Gisin, N., Griffiths, R. B., Niu, C.-S., & Peres, A. (1997). Optimal eavesdropping in quantum cryptography. I. Information bound and optimal strategy. Physical Review A. https://doi.org/10.1103/physreva.56.1163

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