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Two-dimensional and absolutely entanglement-breaking subspaces
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Entanglement-breaking(EB)subspaces determine the additivity of entanglement of formation(EOF),which is a long-standing issue in quantum information.We explicitly construct the two-dimensional EB subspaces of any bipartite system,when system dimensions are equal,and we apply the subspaces to construct EB spaces of arbitrary dimensions.We also present partial construction when system dimensions are different.Then,we present the notion and properties of EB subspaces for some systems,and in particular the absolute EB subspaces.We construct some examples of absolute EB subspaces,as well as EB subspaces for some systems by using multiqubit Dicke states.
entanglement-breaking subspacesentanglement of formationabsolutely EB subspacesentanglement costadditivity
Jian Yan、Lin Chen
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LMIB(Beihang University),Ministry of Education,and School of Mathematical Sciences,Beihang University,Beijing 100191,China
International Research Institute for Multidisciplinary Science,Beihang University,Beijing 100191,China
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