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Phys. Rev. Lett. 101, 180504 (2008) [4 pages]

Optimal Cloning of Unitary Transformation

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Giulio Chiribella*, Giacomo Mauro D’Ariano, and Paolo Perinotti
QUIT Group, Dipartimento di Fisica “A. Volta” and INFN Sezione di Pavia, via Bassi 6, 27100 Pavia, Italy

Received 7 April 2008; published 30 October 2008

After proving a general no-cloning theorem for black boxes, we derive the optimal universal cloning of unitary transformations, from one to two copies. The optimal cloner is realized by quantum channels with memory, and greatly outperforms the optimal measure-and-reprepare cloning strategy. Applications are outlined, including two-way quantum cryptographic protocols.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.180504
DOI:
10.1103/PhysRevLett.101.180504
PACS:
03.67.Ac, 03.65.Ta, 03.67.Dd

*chiribella@fisicavolta.unipv.it

dariano@unipv.it

perinotti@fisicavolta.unipv.it

§http://www.qubit.it