Regensburg 2022 – scientific programme

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QI: Fachverband Quanteninformation

QI 14: Quantum Foundations

QI 14.3: Talk

Friday, September 9, 2022, 10:15–10:30, H9

Non-locality with overlapping marginals — •Moisés Bermejo Morán — Jagiellonian University, Krakow, Poland

We investigate how non-locality can be shared in multi-partite physical systems. Going beyond the standard scenario with disjoint subsystems, we focus on the case where the subsystems participating in the Bell inequality can have overlap. The analytical methods are limited in generality and the standard numerical tools do not effectively provide good bounds when measurements with overlapping support are involved. We overcome these limitations by considering the Navascués-Pironio-Acín hierarchy for finite-dimensional systems, for a fixed dimension. Finding the optimal value via convex combinations of random states and PVMs. These allow us to find non-trivial monogamy bounds in simple scenarios.