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Phys. Rev. A 79, 012303 (2009) [7 pages]

Unambiguous comparison of unitary channels

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Michal Sedlák1,3 and Mário Ziman1,2
1Research Center for Quantum Information, Slovak Academy of Sciences, Dúbravská Cesta 9, 845 11 Bratislava, Slovakia
2Faculty of Informatics, Masaryk University, Botanická 68a, 602 00 Brno, Czech Republic
3Quniverse, Líščie údolie 116, 841 04 Bratislava, Slovakia

Received 25 September 2008; published 7 January 2009

We address the problem of an unambiguous comparison of a pair of unknown qudit unitary channels. Using the framework of process positive operator valued measures we characterize all solutions and identify the optimal ones. We prove that the entanglement is the key ingredient in designing the optimal experiment for comparison of unitary channels. Without entanglement the optimality cannot be achieved. The proposed scheme is also experimentally feasible.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.012303
DOI:
10.1103/PhysRevA.79.012303
PACS:
03.67.Lx, 02.50.Ga, 03.65.Ta