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Minimal sets of dequantizers and quantizers for finite-dimensional quantum systems

arXiv:1609.08407 · doi:10.1016/j.physleta.2017.06.042

Abstract

The problem of finding and characterizing minimal sets of dequantizers and quantizers applied in the mapping of operators onto functions is considered, for finite-dimensional quantum systems. The general properties of such sets are determined. An explicit description of all the minimum self-dual sets of dequantizers and quantizers for a qubit system is derived. The connection between some known sets of dequantizers and quantizers and the derived formulae is presented.

13 pages, no figures