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Parametrizations of Positive Matrices With Applications

2006/10/03 by M. C. Tseng, Ming-Cheng Tseng, Hong Zhou +5
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Physical sciences #Matrix Theory and Algorithms #Quantum Physics (quant-ph) #graph theory and CDMA systems #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0610020

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

arxiv created 2006/10/03 · openalex publication_date 2006/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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