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A class of special matrices and quantum entanglement
Authors:Shao-Ming Fei
Affiliation:a Department of Mathematics, Capital Normal University, Beijing 100037, P.R. China
b Institut für Angewandte Mathematik, Universität Bonn, 53115 Bonn, Germany; Max-Planck-Institute for Mathematics in the Sciences, 04103 Leipzig, Germany
Abstract:We present a kind of construction for a class of special matrices with at most two different eigenvalues, in terms of some interesting multiplicators which are very useful in calculating eigenvalue polynomials of these matrices. This class of matrices defines a special kind of quantum states — d-computable states. The entanglement of formation for a large class of quantum mixed states is explicitly presented.
Keywords:entanglement of formation   generalized concurrence   d-computable states
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