Parametrizations of Positive Matrices With Applications
Quantum Physics
2007-05-23 v1
Abstract
This paper reviews some characterizations of positive matrices and discusses which lead to useful parametrizations. It is argued that one of them, which we dub the Schur-Constantinescu parametrization is particularly useful. Two new applications of it are given. One shows all block-Toeplitz states are PPT. The other application is to relaxation rates.
Cite
@article{arxiv.quant-ph/0610020,
title = {Parametrizations of Positive Matrices With Applications},
author = {M. C. Tseng and Hong Zhou and V. Ramakrishna},
journal= {arXiv preprint arXiv:quant-ph/0610020},
year = {2007}
}
Comments
Submitted for publication to the refereed book ``Mathematics of Quantum Computation and Technology", and is dedicated to the memory of Professor Tiberiu Constantinescu