Forbidden regimes in the distribution of bipartite quantum correlations due to multiparty entanglement

TL;DR

This paper demonstrates that genuine multipartite entanglement imposes upper bounds on bipartite quantum correlations in multiqubit systems, revealing fundamental limits on how quantum correlations are distributed.

Contribution

It establishes universal bounds on monogamy scores based on multipartite entanglement for pure multiqubit states and identifies conditions for violations.

Findings

Monogamy scores are bounded by functions of multipartite entanglement in most pure states.

Universal bounds are proven for all three-qubit pure states.

Necessary conditions for violations are derived and numerically verified.

Abstract

Monogamy is a nonclassical property that limits the distribution of quantum correlation among subparts of a multiparty system. We show that monogamy scores for different quantum correlation measures are bounded above by functions of genuine multipartite entanglement for a large majority of pure multiqubit states. The bound is universal for all three-qubit pure states. We derive necessary conditions to characterize the states that violate the bound, which can also be observed by numerical simulation for a small set of states, generated Haar uniformly. The results indicate that genuine multipartite entanglement restricts the distribution of bipartite quantum correlations in a multiparty system.