Economical realization of phase covariant devices in arbitrary dimensions

Details Economical realization of phase covariant devices in arbitrary dimensions Economical realization of phase covariant devices in arbitrary dimensions

2006-06-14

arxiv.org/abs/quant-ph/0606120v1

J. Opt. Soc. Am. B 24, 363 (2007)

Physics

Quantum Physics

18 pages, 1 fugure. This paper reviews and completes quant-ph/0407103 and quant-ph/0504016

Scientific paper

10.1364/JOSAB.24.000363

We describe a unified framework of phase covariant multi user quantum transformations for d-dimensional quantum systems. We derive the optimal phase covariant cloning and transposition tranformations for multi phase states. We show that for some particular relations between the input and output number of copies they correspond to economical tranformations, which can be achieved without the need of auxiliary systems. We prove a relation between the optimal phase covariant cloning and transposition maps, and optimal estimation of multiple phases for equatorial states.

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