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Conference Papers Year : 2007

Miscellaneous Applications of Quons

Abstract

This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We show the interest of such algebras for fractional supersymmetric quantum mechanics, angular momentum theory and quantum information. More precisely, quon algebras are used for (i) a realization of a generalized Weyl-Heisenberg algebra from which it is possible to associate a fractional supersymmetric dynamical system, (ii) a polar decomposition of SU_2 and (iii) a construction of mutually unbiased bases in Hilbert spaces of prime dimension. We also briefly discuss (symmetric informationally complete) positive operator valued measures in the spirit of (iii).

Dates and versions

in2p3-00175030 , version 1 (26-09-2007)

Identifiers

  • HAL Id : in2p3-00175030 , version 1
  • ARXIV : 0709.3698

Cite

M.R. Kibler. Miscellaneous Applications of Quons. 3-rd Microconference "Analytic and Algebraic Methods III", Jun 2007, Prague, Czech Republic. pp.092. ⟨in2p3-00175030⟩
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