Simple and tight monogamy relations for a class of Bell inequalities

TL;DR

This paper derives simple, tight monogamy relations for Bell inequalities based on the no-signaling principle, linking nonlocal correlations to device-independent information measures.

Contribution

It introduces novel monogamy relations for Bell inequalities that are both simple and tight, grounded in the no-signaling principle, and connects these to guessing probabilities.

Findings

Derived tight monogamy relations for Bell inequalities

Linked monogamy constraints to guessing probability

Provided insights into nonlocal correlation distribution

Abstract

Physical principles constraints the way nonlocal correlations can be distributed among distant parties in a Bell-type experiment. These constraints are usually expressed by monogamy relations that bound the amount of Bell inequality violation observed by a set of parties by the violation observed by a different set of parties. Here we show that the no-signaling principle yields a simple and tight monogamy relations for an important class of bipartite and multipartite Bell inequalities. We also link these trade-offs to the guessing probability--a key quantity in the device-independent information processing.