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Phys. Rev. A 71, 042327 (2005) [7 pages]

Economical phase-covariant cloning of qudits

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Francesco Buscemi*, Giacomo Mauro D’Ariano, and Chiara Macchiavello‡,§
QUIT Group, Dipartimento di Fisica “A. Volta,” Università di Pavia, via Bassi 6, I-27100 Pavia, Italy

Received 14 July 2004; published 19 April 2005

We derive the optimal NM phase-covariant quantum cloning for equatorial states in dimension d with M=kd+N, k integer. The cloning maps are optimal for both global and single-qudit fidelity. The map is achieved by an “economical” cloning machine, which works without ancilla.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.042327
DOI:
10.1103/PhysRevA.71.042327
PACS:
03.67.−a, 03.65.−w

*Electronic address: buscemi@fisicavolta.unipv.it

Electronic address: dariano@unipv.it

Electronic address: chiara@unipv.it

§URL: http://www.qubit.it/