Restricted Distribution of Quantum Correlations in Bilocal Network

TL;DR

This paper investigates the shareability constraints of quantum correlations in bilocal networks, revealing that restrictions on nonbilocal correlations are consistent regardless of input configurations, thus advancing understanding of quantum network monogamy.

Contribution

It introduces a novel analysis of monogamy of nonbilocal correlations in quantum networks with independent sources, deriving input-independent restrictions on their distribution.

Findings

Restrictions on nonbilocal correlations are input-independent.

Monogamy relations constrain shareability of quantum correlations.

Results differ from traditional Bell-CHSH monogamy scenarios.

Abstract

Analyzing shareability of correlations arising in any physical theory may be considered as a fruitful technique of studying the theory. Our present topic of discussion involves an analogous approach of studying quantum theory. For our purpose, we have deviated from the usual procedure of assessing monogamous nature of quantum correlations in standard Bell-CHSH scenario. We have considered correlations arising in a quantum network involving independent sources. Precisely speaking, we have analyzed monogamy of nonbilocal correlations by deriving a relation restricting marginals. Interestingly, restrictions constraining distribution of nonbilocal correlations remain same irrespective of whether inputs of the nodal observers are kept fixed(in different bilocal networks) while studying nonbilocal nature of marginal correlations.