Parametrizations of density matrices
Abstract
This article gives a brief overview of some recent progress in the characterization and parametrization of density matrices of finite dimensional systems. We discuss in some detail the Bloch-vector and Jarlskog parametrizations and mention briefly the coset parametrization. As applications of the Bloch parametrization we discuss the trace invariants for the case of time dependent Hamiltonians and in some detail the dynamics of three-level systems. Furthermore, the Bloch vector of two-qubit systems as well as the use of the polarization operator basis is indicated. As the main application of the Jarlskog parametrization we construct density matrices for composite systems. In addition, some recent related articles are mentioned without further discussion.
Cite
@article{arxiv.1103.4542,
title = {Parametrizations of density matrices},
author = {E. Brüning and H. Mäkelä and A. Messina and F. Petruccione},
journal= {arXiv preprint arXiv:1103.4542},
year = {2015}
}
Comments
31 pages. v2: 32 pages, Abstract and Introduction rewritten and Conclusion section added, references added