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QI: Fachverband Quanteninformation

QI 34: Concepts and Methods III

QI 34.1: Vortrag

Freitag, 10. März 2023, 11:00–11:15, B302

Quantum Bell Inequalities from Information Causality — •Prabhav Jain¹, Mariami Gachechiladze¹, and Nikolai Miklin² — ¹TU Darmstadt, Germany — ²Heinrich-Heine-Universität Düsseldorf, Germany

Characterizing the set of quantum correlations in the space of all possible non-signalling theories is a hard but important problem. For a given Bell scenario, quantum bell inequalities which bound the set of possible observed correlation are relevant not only as a theoretical interest but for several applications such as QKD etc. A fundamental goal is to `derive' this quantum set from physical/empirical principles without assuming any of the formalism.

In this work, we propose to use information causality as one such physical principle. We derive new quantum Bell inequalities for arbitrary measurement settings and outcomes in a bipartite scenario while improving on some previous known results by obtaining the tightest bounds so far for such scenarios. We also investigate how our new polynomial inequalities in the observed probability distributions relate to other well known principles such as macroscopic locality and almost quantum correlations.