Browsing by Subject "Tensor product"
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Item Open Access Geometry and matrix spectral problems(Bilkent University, 2002) Altunbulak, MuratThe aim of this thesis is to give a survey and applications of some recent work of Klyachko, Knutson and Tao that characterizes eigenvalues of sum of Hermitian matrices and decomposition of tensor products of representations of GLn(C). We also explain related applications to Grassmannian variety and Toric bundles.Item Open Access The three equivalent forms of completely positive maps on matrices(Editura Universitatea din Bucuresti, 2010) Gheondea, A.Motived by the importance of quantum operations in quantum information theory, we rigorously present the three equivalent (Stinespring, Kraus, and Choi) forms of completely positive maps on full C∗-algebras of matrices, as well as their connection with the Arveson’s Radon-Nikodym derivative. In order to make this accessible to a broader audience we employ mostly linear algebra facts and carefully review the prerequisites.