Fundamental monogamy relation between contextuality and nonlocality

TL;DR

This paper establishes a fundamental monogamy relation between quantum contextuality and nonlocality, showing that violating one restricts the violation of the other, indicating a deeper resource underlying entanglement.

Contribution

It derives a no-disturbance based tradeoff and quantum monogamy relation linking contextuality and nonlocality, revealing their fundamental interconnectedness.

Findings

Violation of one inequality forbids violation of the other.

Quantum monogamy relation for a qutrit-qubit system.

Contextuality and nonlocality are fundamentally monogamous.

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.