Harnessing Spatial Symmetries: From Probing Quantum Correlations to Theory-Independent Randomness Generation

Harnessing Spatial Symmetries: From Probing Quantum Correlations to Theory-Independent Randomness Generation

Seminar author:Albert Aloy

Event date and time:11/21/2024 02:30:pm

Event location:Seminar Room, GIQ

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In this talk, we explore how spatial symmetries, particularly the response of physical systems to rotations, constrain the probabilities of observable events. From a foundational point of view, we demonstrate that in simple scenarios, quantum correlations can be derived purely from rotational symmetry, without assuming the validity of quantum physics. This showcases an interesting interplay between key predictions of quantum theory and the structure of space, highlighting the potential of quantum information semi-device-independent approaches to deepen our understanding of physical principles. From a practical point of view, we leverage these insights to develop semi-device-independent protocols for secure randomness generation based on the breaking of spatial symmetries. Importantly, the security analysis and randomness extraction remain theory-independent, certified solely by the observed statistics under a meaningful physical assumption: a bound on a theory-independent notion of spin.