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Phys. Rev. A 76, 032102 (2007) [13 pages]

Discrete squeezed states for finite-dimensional spaces

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Marcelo A. Marchiolli*, Maurizio Ruzzi, and Diógenes Galetti
Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SP, Brazil

Received 19 April 2007; revised 13 June 2007; published 5 September 2007

We show how discrete squeezed states in an N2-dimensional phase space can be properly constructed out of the finite-dimensional context. Such discrete extensions are then applied to the framework of quantum tomography and quantum information theory with the aim of establishing an initial study on the interference effects between discrete variables in a finite phase space. Moreover, the interpretation of the squeezing effects is seen to be direct in the present approach, and has some potential applications in different branches of physics.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.032102
DOI:
10.1103/PhysRevA.76.032102
PACS:
03.65.Wj, 03.67.Lx, 03.67.Hk

*mamarchi@ift.unesp.br

mruzzi@ift.unesp.br

galetti@ift.unesp.br