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Bell Inequalities with Overlapping Measurements.
Moisés Bermejo Morán, Alejandro Pozas-Kerstjens, Felix Huber·March 3, 2023·DOI: 10.1103/PhysRevLett.131.080201
MedicinePhysics
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Abstract
Which nonlocal correlations can be obtained, when a party has access to more than one subsystem? While traditionally nonlocality deals with spacelike separated parties, this question becomes important with quantum technologies that connect devices by means of small shared systems. Here, we study Bell inequalities where measurements of different parties can have overlap. This allows us to accommodate problems in quantum information such as the existence of quantum error correction codes in the framework of nonlocality. The scenarios considered show an interesting behavior with respect to Hilbert space dimension, overlap, and symmetry.