A note on extremal decompositions of covariances

Zoltán Léka

doi:10.1216/RMJ-2016-46-2-571

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Home > Journals > Rocky Mountain J. Math. > Volume 46 > Issue 2 > Article

2016 A note on extremal decompositions of covariances

Zoltán Léka

Rocky Mountain J. Math. 46(2): 571-580 (2016). DOI: 10.1216/RMJ-2016-46-2-571

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Abstract

We shall present an elementary approach to extremal decompositions of (quantum) covariance matrices determined by densities. We give a new proof on former results and provide a sharp estimate of the ranks of the densities that appear in the decomposition theorem.

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Zoltán Léka. "A note on extremal decompositions of covariances." Rocky Mountain J. Math. 46 (2) 571 - 580, 2016. https://doi.org/10.1216/RMJ-2016-46-2-571