• 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, 27th 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 rank-one submatrices of Hadamard matrices to the number of non-zero 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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