89 citations · 817 across the 73 of their papers we have counts for
84 papers
Amenable traces and the joint numerical radius
Vern I. Paulsen, Mizanur Rahaman, Ebrahim Samei
We provide necessary and sufficient characterizations of the existence of an amenable trace on a C-algebra in terms of the joint free numerical radius of tuples of unitaries, i…
Exactness and LLP Results via Operator System Methods
Kenneth R. Davidson, Vern I. Paulsen, Mizanur Rahaman
In this paper, we employ operator system techniques to investigate structural properties of C*-algebras. In particular, we provide more direct proofs of results concerning exactnes…
Unique Games and Games Based on Groups
Rupert H. Levene, Vern I. Paulsen
We study unique games and estimate some of their values. We prove that if a unique game has a quantum-assisted value close to 1, then it must have a perfect deterministic strategy.…
Completely Bounded Norms of -positive Maps
Guillaume Aubrun, Kenneth R. Davidson, Alexander Müller-Hermes +2
Given an operator system , we define the parameters (resp. ) defined as the maximal value of the completely bounded norm of a unit…
Positive maps and entanglement in real Hilbert spaces
Giulio Chiribella, Kenneth R. Davidson, Vern I. Paulsen +1
The theory of positive maps plays a central role in operator algebras and functional analysis, and has countless applications in quantum information science. The theory was origina…
Counterexamples to the extendibility of positive unital norm-one maps
Giulio Chiribella, Kenneth R. Davidson, Vern I. Paulsen +1
Arveson's extension theorem guarantees that every completely positive map defined on an operator system can be extended to a completely positive map defined on the whole C*-algebra…