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MPA

Seminar

On Random Matrices Related to Quantum Informatics

Pastur, L (National Academy of Sciences of Ukraine)
Monday 17 September 2012, 09:30-10:10

Seminar Room 1, Newton Institute

Abstract

We consider two ensembles of random matrices related to certain problems of quantum informatics. The rst ensemble is a generalization of the Wishart Ensemble viewed as the sum of independent rank-one operators. However, in contrast to the Wishart Ensemble the corresponding independent random vectors are the tensor products of a xed number p  2 of other independent vectors. The second ensemble is also similar to the Wishart Ensemble viewed as the product of matrix with independent entries and the transposed (hermitian conjugate) matrix. However, in contrast to the Wishart Ensemble the corresponding matrix is triangular. We show that the limiting Normalized Counting Measures can be found from certain functional equations and discuss their new properties.

Presentation

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