Couplers for Non-Locality Swapping

TL;DR

This paper explores non-locality swapping in generalized theories, introducing couplers that perform joint measurements on non-local states, revealing connections to Bell inequalities and Tsirelson's bound.

Contribution

It defines consistent couplers for theories with arbitrary non-locality and introduces perfect and minimal couplers, linking non-locality swapping to foundational quantum bounds.

Findings

Tsirelson's bound naturally emerges in the framework

Defined perfect and minimal couplers for non-local theories

Connected non-locality swapping to Bell inequalities

Abstract

Studying generalized non-local theories brings insight to the foundations of quantum mechanics. Here we focus on non-locality swapping, the analogue of quantum entanglement swapping. In order to implement such a protocol, one needs a coupler that performs the equivalent of quantum joint measurements on generalized `box-like' states. Establishing a connection to Bell inequalities, we define consistent couplers for theories containing an arbitrary amount of non-locality, which leads us to introduce the concepts of perfect and minimal couplers. Remarkably, Tsirelson's bound for quantum non-locality naturally appears in our study.