Parametrizations of Positive Matrices With Applications

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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.
Submitted for publication to the refereed book ``Mathematics of Quantum Computation and Technology", and is dedicated to the memory of Professor Tiberiu Constantinescu

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