Monogamy inequality for entanglement and local contextuality

TL;DR

This paper establishes a monogamy inequality linking entanglement and local contextuality in bipartite systems, showing that highly entangled states cannot violate certain noncontextuality inequalities, with implications for quantum correlations.

Contribution

It introduces a novel monogamy inequality connecting entanglement and contextuality, along with an explicit entanglement monotone satisfying this relation.

Findings

Global states can be highly entangled yet not violate local noncontextuality inequalities.

Derived a new entanglement monotone consistent with the monogamy inequality.

Established fundamental limits on simultaneous entanglement and contextuality in bipartite systems.

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.