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arxiv: 1501.03432 · v2 · pith:5VTFW3BKnew · submitted 2015-01-14 · 🪐 quant-ph

Necessary and sufficient condition for quantum state-independent contextuality

classification 🪐 quant-ph
keywords contextualitystate-independentquantumsufficientconditiondimensiongraphshorodecki
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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.

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