Geometry of the set of synchronous quantum correlations
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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- May 2020
- DOI:
- 10.1063/1.5115010
- arXiv:
- arXiv:1905.06223
- Bibcode:
- 2020JMP....61e2201R
- Keywords:
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- Quantum Physics;
- Mathematics - Operator Algebras
- E-Print:
- 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