Parametrizations of Positive Matrices With Applications

Details Parametrizations of Positive Matrices With Applications Parametrizations of Positive Matrices With Applications

2006-10-03

arxiv.org/abs/quant-ph/0610020v1

Physics

Quantum Physics

Submitted for publication to the refereed book ``Mathematics of Quantum Computation and Technology", and is dedicated to the m

Scientific paper

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.

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