English

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

Quantum Physics 2018-09-26 v1

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.

Keywords

Cite

@article{arxiv.1609.08407,
  title  = {Minimal sets of dequantizers and quantizers for finite-dimensional quantum systems},
  author = {P. Adam and V. A. Andreev and A. Isar and M. A. Man'ko and V. I. Man'ko},
  journal= {arXiv preprint arXiv:1609.08407},
  year   = {2018}
}

Comments

13 pages, no figures

R2 v1 2026-06-22T16:02:44.583Z