 CARMA DISCRETE MATHEMATICS SEMINAR
 Speaker: Padraig Ó Catháin
 Title: Unbiased bases, uncertainty principles and trades in Hadamard matrices
 Location: Room VG25, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 1:00 pm, Wed, 27^{th} May 2015
 Abstract:
Arising originally from the analysis of a family of compressed sensing matrices, Ian Wanless and I recently investigated a number of linear algebra problems involving complex Hadamard matrices. I will discuss our main result, which relates rankone submatrices of Hadamard matrices to the number of nonzero terms in a representation of a fixed vector with respect to two unbiased bases of a finite dimensional vector space. Only a basic knowledge of linear algebra will be assumed.
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