3 papers
quant-ph2026
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…
math.FA2026
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…
math.OA2025
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…