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

• DOI: 10.1016/j.physleta.2017.06.042
• Publication Date: 2017-07-01T01:30:39Z
• Authors: P. Adam; V.A. Andreev; A. Isar; M.A. Man'ko; V.I. Man'ko
• Keywords: Quantum Physics; Q1 Science (General) / természettudomány általában; 0103 physical sciences; FOS: Physical sciences; Quantum Physics (quant-ph); 01 natural sciences

13 pages, no figures<br/>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.<br/>