A squeezing formalism for finite dimensional quantum systems

Details A squeezing formalism for finite dimensional quantum systems A squeezing formalism for finite dimensional quantum systems

2007-09-26

arxiv.org/abs/0709.4284v3

Physics

Quantum Physics

15 pages, 3 figures, subm. to J. Phys. A

Scientific paper

This article presents a squeezing transformation for quantum systems associated to finite vector spaces. The physical idea of squeezing here is taken from the action of the usual squeezing operator over wave functions defined on a real line, that is, a transformation capable to diminish (or enhance) the mean square deviation of a centered distribution. As it is discussed, the definition of such an operator on finite dimensional vector spaces is not a trivial matter, but, on the other hand, has obvious connections with problems such as spin squeezing and (finite) quantum state reproduction.

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