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Phys. Rev. A 62, 012302 (2000) [7 pages]

Phase-covariant quantum cloning

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Dagmar Bruß1, Mirko Cinchetti2, G. Mauro D’Ariano2, and Chiara Macchiavello2
1Institut für Theoretische Physik, Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany
2Dipartimento di Fisica “A. Volta” and INFM-Unità di Pavia, Via Bassi 6, 27100 Pavia, Italy

Received 14 September 1999; published 7 June 2000

We consider an NM quantum cloning transformation acting on pure two-level states lying on the equator of the Bloch sphere. An upper bound for its fidelity is presented, by establishing a connection between optimal phase-covariant cloning and phase estimation. We give the explicit form of a cloning transformation that achieves the bound for the case N=1, M=2, and find a link between this case and optimal eavesdropping in the quantum cryptographic scheme BB84.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.62.012302
DOI:
10.1103/PhysRevA.62.012302
PACS:
03.67.Dd, 03.65.-w