Violation of Bell Monogamy Relations

TL;DR

This paper demonstrates that Bell monogamy relations, which restrict nonlocality sharing among subsystems, can be violated through local filtering operations in symmetric multipartite pure states like W states.

Contribution

It reveals that Bell monogamy relations are not absolute and can be violated using local filtering, challenging previous assumptions about nonlocality sharing constraints.

Findings

Bell monogamy relations can be violated with local filtering.

Permutation-symmetric states like W states exhibit these violations.

Challenges the notion of strict nonlocality sharing limits.

Abstract

The entangled multipartite systems, specially in pure states, exhibit the phenomenon entanglement monogamy. Such systems also display the phenomenon of Bell nonlocality. Like entanglement monogamy relations, there are Bell monogamy relations. These relations suggest a sharing of nonlocality across the subsystems. The nonlocality, as characterized by Bell inequalities, of one subsystem limits the nonlocality exhibited by another subsystem. We show that the Bell monogamy relations can be violated by using local filtering operations. We consider permutation-symmetric multipartite pure states, in particular $W$ states, to demonstrate the violation.