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Entanglement Theory Quantum Correlations Quantum Foundations

Fundamental monogamy relation between contextuality and nonlocality

arXiv
Authors: Pawel Kurzynski, Adan Cabello, Dagomir Kaszlikowski

Year

2013

Paper ID

33524

Status

Preprint

Abstract Read

~2 min

Abstract Words

78

Citations

N/A

Abstract

We show that the no-disturbance principle imposes a tradeoff between locally 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 also obtain the corresponding monogamy relation imposed by quantum theory for a qutrit-qubit system. Our results show the existence of fundamental monogamy relations between contextuality and nonlocality that suggest that entanglement might be a particular form of a more fundamental resource.

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  • We show that the no-disturbance principle imposes a tradeoff between locally contextual correlations violating the Klyachko-Can-Binicioglu-Shumovski inequality and spatially...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1307.6710 [2] arXiv https://arxiv.org/abs/1307.6710 [3] Publisher https://arxiv.org/abs/1307.6710

Local Citation Graph (Related-Paper Links)

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