Alladi Ramakrishnan Hall

Geometry of the Quantum Set on No-Signaling Faces

Ashutosh Rai

International Institute of Physics, Federal University of Rio Grande do Norte, Natal, Brazil

Since Bell's theorem we know that quantum mechanics is incompatible with local hidden variable models, the phenomenon known as quantum nonlocality. However, in spite of steady progress over years, the precise characterization of the set of quantum correlations has remained an elusive quest. There are correlations compatible with the no-signaling principle and still beyond what can be achieved within quantum theory, what has motivated the search for physical principles and computational methods to decide the quantum or post-quantum behavior of correlations. Here we identify a yet new feature of Bell correlations that we call quantum voids: faces of the no-signaling set where all nonlocal correlations are postquantum. Considering the simplest possible Bell scenario we give a full characterization of quantum voids, also understanding its connections to known principles and its potential use as a dimension witness.

Reference: A. Rai, C. Duarte, S. Brito, R. Chaves, Into the Quantum Void: Geometry of the Quantum Set on no Signaling Faces,
quant-phys: arXiv:1812.06057 (Dec. 2018) [ Link: arxiv.org/abs/1812.06057 ].