Pawel Kurzynski, Adan Cabello, Dagomir Kaszlikowski
We show that the no-disturbance principle imposes a monogamy relation between local contextual correlations violating the Klyachko-Can-Binicioglu-Shumovski inequality and spatially separated correlations violating the Clauser-Horne-Shimony-Holt inequality. The violation of one inequality forbids the violation of the other. We present a quantum version of this monogamy using a qutrit-qubit entangled system. Our result shows the existence of fundamental monogamy relations between local contextuality and nonlocality.
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http://arxiv.org/abs/1307.6710
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