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Abstract: Some recent research on the tensor products of operator systems and ensuing nuclearity properties in this setting raised many stability problems. In this paper we examine the preservation of...
Minimal and Maximal Operator Spaces and Operator Systems in Entanglement Theory
operator space operator system quantum information theory entanglement
2010/11/11
We examine k-minimal and k-maximal operator spaces and operator systems, and investigate their relationships with the separability problem in quantum information theory. We show that the matrix norms ...
An approximation theorem for nuclear operator systems
operator system tensor product nuclear
2010/12/6
We prove that an operator system S is nuclear in the category of operator systems if and only if there exist nets of unital completely positive maps ' : S → Mnand : Mn → S such that ◦ '...