5 papers
No-signaling values of quantum games--an operator algebra perspective
Roy Araiza, Marius Junge, Carlos Palazuelos
The aim of this work is to study two-prover quantum games (i.e., games with quantum inputs and outputs) from an operator-algebraic and operator-space point of view. We characterize…
On Matricial Order Operator Spaces
Roy Araiza, Timur Oikhberg
We investigate the category of ``matricial order operator spaces,'' which generalize operator systems, being equipped with both matricial norms and matricial order. For these objec…
Transportation cost and contraction coefficient for channels on von Neumann algebras
Roy Araiza, Marius Junge, Peixue Wu
We present a noncommutative optimal transport framework for quantum channels acting on von Neumann algebras. Our central object is the Lipschitz cost measure, a transportation-insp…
On a question of Blecher, Pisier, Shlyakhtenko
Roy Araiza, Marius Junge, Carlos Palazuelos
We show the failure of a matricial version of Grothendieck's theorem for operator spaces, thereby resolving a long-standing open question in the field. Moreover, by showing that su…
A note on the stabilizer formalism via noncommutative graphs
Roy Araiza, Jihong Cai, Yushan Chen +5
In this short note we formulate a stabilizer formalism in the language of noncommutative graphs. The classes of noncommutative graphs we consider are obtained via unitary represent…