Monogamy inequality for entanglement and local contextuality

Abstract

We derive a monogamy inequality for entanglement and local contextuality, for any finite bipartite system. It essentially results from the relations between the purity of a local state and the entanglement of the global state, and between the purity of a state and its ability to violate a given noncontextuality inequality. We build an explicit entanglement monotone that satisfies the found monogamy inequality. An important consequence of this inequality, is that there are global states too entangled to violate the local noncontextuality inequality.

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• Experimentally testable state-independent quantum contextuality
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Cited by in corpus (10)

• Monogamy inequality for any local quantum resource and entanglement
• Internal entanglement and external correlations of any form limit each other
• Measure-independent anomaly of nonlocality
• Realization of the tradeoff between internal and external entanglement
• Monogamy of Entanglement Measures Based on Fidelity in Multiqubit Systems
• Monogamy of Logarithmic Negativity and Logarithmic Convex-Roof Extended Negativity
• Entanglement partners and monogamy in de Sitter universes
• Observation of the tradeoff between internal quantum nonseparability and external classical correlations
• Trade-off relations between Bell nonlocality and local Kochen-Specker contextuality in generalized Bell scenarios
• Probe of Generic Quantum Contextuality and Nonlocal Resources for Qubits