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QI: Fachverband Quanteninformation
QI 36: Poster – Quantum Information (joint session QI/Q)
QI 36.63: Poster
Donnerstag, 13. März 2025, 17:00–19:00, Tent
A Weak Measurement Based Toy Model to Probe Quantum Properties in a Cosmological Setting — •Joel Huber1,2,3, Časlav Brukner3, and Igor Pikovski4 — 1Universität Siegen — 2ETH Zurich — 3IQOQI Vienna — 4Stevens Institute of Technology
Probing quantum properties in cosmology could offer profound insights into the fundamental nature of the universe. We present a novel perspective on the detectability of quantum properties in cosmology. Firstly, we motivate a set of fundamental limitations inherent to observational cosmology and translate them into operational constraints for a general quantum system. We then propose a toy model and show how the limitations can be successfully circumvented by studying weakly coupled pointer degrees of freedom. We find that the non-commutativity of observables can be inferred by comparing measurement statistics, even though limited by the weakness of the measurements. This result can provide a hint but not conclusive evidence, for the quantum nature of the system. Finally, we investigate generalised Leggett-Garg inequalities, which separate classical from non-classical temporal correlations. We demonstrate that they cannot be violated using three consecutive weak measurements while remaining agnostic about the underlying interactions.
Keywords: Cosmology; Weak measurement; Non-Commutativity; Leggett-Garg Inequalities