2012/01/01 by Adán Cabello, Adan Cabello, Cabello, Adan
Engineering · Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Slime Mold and Myxomycetes Research #quant-ph
paper · pdf · doi:10.48550/arxiv.1201.0374
REVTeX4, 2 pages
openalex publication_date 2012/01/01 · arxiv created 2012/01/04 · arxiv updated 2012/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It has been recently shown that state-independent contextuality (SIC) is a fundamental resource linked with a type of nonlocality which cannot be improved by nonsignaling resources. Therefore, it is of fundamental importance to identify the simplest sets of quantum observables needed to prove SIC. We show that d+10 rank-1 projectors are sufficient to prove SIC for any physical system in dimension d>2. This result outperforms both the best Kochen-Specker proofs and the results presented by Yu and Oh in arXiv:1112.5513v1.