Electronic Proceedings in Theoretical Computer Science · 2017 · 17 citations · 14 references
Natural SciencesMathematicsAlgebraTopologyAbstract AlgebraCommutative AlgebraLinear AlgebraOperator TheoryDilation TheoryOperator AlgebrasStinespring DilationVon Neumann Algebras
In 1973 Paschke defined a factorization for completely positive maps between C*-algebras. In this paper we show that for normal maps between von Neumann algebras, this factorization has a universal property, and coincides with Stinespring's dilation for normal maps into B(H).
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Optimal cloning of pure states
Reinhard F. Werner · Physical Review A · 1998 · 553 citations · Full text