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Necessary and sufficient condition for quantum state-independent contextuality

arXiv:1501.03432 · doi:10.1103/PhysRevLett.114.250402

Abstract

We solve the problem of whether a set of quantum tests reveals state-independent contextuality and use this result to identify the simplest set of the minimal dimension. We also show that identifying state-independent contextuality graphs [R. Ramanathan and P. Horodecki, Phys. Rev. Lett. 112, 040404 (2014)] is not sufficient for revealing state-independent contextuality.

5 pages, 3 graphs