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Phys. Rev. Lett. 77, 2818–2821 (1996)

Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels

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David Deutsch1, Artur Ekert1, Richard Jozsa2, Chiara Macchiavello1, Sandu Popescu3, and Anna Sanpera1
1Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
2School of Mathematics and Statistics, University of Plymouth, Plymouth, Devon PL4 8AA, United Kingdom
3Department of Electrical, Computer and Systems Engineering, Boston University, Boston, Massachusetts 02215

See Also: Erratum

Received 26 April 1996; published in the issue dated 23 September 1996

Existing quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the resulting schemes are difficult to analyze and have not been proved secure. We introduce the concept of quantum privacy amplification and a cryptographic scheme incorporating it which is provably secure over a noisy channel. The scheme uses an “entanglement purification” procedure which, because it requires only a few quantum controlled-not and single-qubit operations, could be implemented using technology that is currently being developed.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.2818
DOI:
10.1103/PhysRevLett.77.2818
PACS:
89.70.+c, 02.50.-r, 03.65.Bz, 89.80.+h

See Also

Erratum: David Deutsch, Artur Ekert, Richard Jozsa, Chiara Macchiavello, Sandu Popescu, and Anna Sanpera, Erratum: Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels [Phys. Rev. Lett. 77, 2818 (1996)], Phys. Rev. Lett. 80, 2022 (1998).