Correlation complementarity yields Bell monogamy relations

TL;DR

This paper introduces a method linking the complementarity principle with quantum non-locality to derive stronger Bell monogamy relations, providing tight bounds and revealing complex violation patterns in multipartite quantum systems.

Contribution

It presents a novel approach to derive Bell monogamy relations that surpass previous no-signaling-based bounds, especially in multipartite scenarios.

Findings

Stronger Bell monogamy relations than no-signaling bounds.

Tight quantum bounds on Bell inequality violations.

Complex violation patterns in multipartite systems.

Abstract

We present a method to derive Bell monogamy relations by connecting the complementarity principle with quantum non-locality. The resulting monogamy relations are stronger than those obtained from the no-signaling principle alone. In many cases, they yield tight quantum bounds on violation of single and multiple qubit correlation Bell inequalities. In contrast with the two-qubit case, a rich structure of possible violation patterns is shown to exist in the multipartite scenario.