60 citations · 141 across the 10 of their papers we have counts for
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The noncommutative Choquet boundary III: Operator systems in matrix algebras
William Arveson
We classify operator systems that act on finite dimensional Hilbert spaces by making use of the noncommutative Choquet boundary. S is said to be {\em red…
The noncommutative Choquet boundary II: Hyperrigidity
William Arveson
A (finite or countably infinite) set G of generators of an abstract C*-algebra A is called hyperrigid if for every faithful representation of A on a Hilbert space $A\subseteq \math…
Maximal vectors in Hilbert space and quantum entanglement
William Arveson
Let be a norm-closed subset of the unit sphere of a Hilbert space that is stable under multiplication by scalars of absolute value 1. A {\em maximal vector} (for ) is a…
Quantum channels that preserve entanglement
William Arveson
Let M and N be full matrix algebras. A unital completely positive (UCP) map ϕ:M\to N is said to preserve entanglement if its inflation ϕ\otimes \id_N : M\otimes N\to N\otimes N has…