Extended Cahill-Glauber formalism for finite-dimensional spaces. II. Applications in quantum tomography and quantum teleportation

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2005-10-01

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Marchiolli, Marcelo A.
Ruzzi, Maurizio [UNESP]
Galetti, Diógenes [UNESP]

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By means of a mod(N)-invariant operator basis, s-parametrized phase-space functions associated with bounded operators in a finite-dimensional Hilbert space are introduced in the context of the extended Cahill-Glauber formalism, and their properties are discussed in details. The discrete Glauber-Sudarshan, Wigner, and Husimi functions emerge from this formalism as specific cases of s-parametrized phase-space functions where, in particular, a hierarchical process among them is promptly established. In addition, a phase-space description of quantum tomography and quantum teleportation is presented and new results are obtained. © 2005 The American Physical Society.

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Physical Review A - Atomic, Molecular, and Optical Physics, v. 72, n. 4, 2005.