Geometry of the set of synchronous quantum correlations
Quantum Physics
2020-05-04 v3 Operator Algebras
Abstract
We provide a complete geometric description of the set of synchronous quantum correlations for the three experiment two outcome scenario. We show that these correlations form a closed set. Moreover, every correlation in this set can be realized using projection valued measures on a Hilbert space of dimension no more than 16.
Keywords
Cite
@article{arxiv.1905.06223,
title = {Geometry of the set of synchronous quantum correlations},
author = {Travis B. Russell},
journal= {arXiv preprint arXiv:1905.06223},
year = {2020}
}
Comments
32 pages, 3 figures. Corrected typos in proof of Lemma 3.5. Updated notation, rewrote some proofs for clarity, and added a few references based on referee feedback