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Phys. Rev. A 67, 014303 (2003) [3 pages]

Minimal measurements of the gate fidelity of a qudit map

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E. Bagan, M. Baig, and R. Muñoz-Tapia
Grup de Física Teòrica and IFAE, Facultat de Ciències, Edifici Cn, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain

Received 6 August 2002; published 23 January 2003

We obtain a simple formula for the average gate fidelity of a linear map acting on qudits. It is given in terms of minimal sets of pure state preparations alone, which may be interesting from the experimental point of view. These preparations can be seen as the outcomes of certain minimal positive operator valued measures. The connection of our results with these generalized measurements is briefly discussed.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.014303
DOI:
10.1103/PhysRevA.67.014303
PACS:
03.67.-a, 89.70.+c, 03.65.Wj