Characterizing nonbilocal correlation: A geometric perspective

TL;DR

This paper introduces a new geometric measure for nonbilocal correlation based on measurement-induced nonlocality, providing relations and bounds for pure and mixed states, and analyzing various input state combinations.

Contribution

It presents a novel measure for nonbilocal correlation and derives bounds and relations for pure and mixed states, advancing understanding of nonbilocality.

Findings

Established a relation between nonlocal and nonbilocal measures for pure states

Derived upper bounds for the nonbilocal measure for mixed states

Analyzed nonbilocality across different input state combinations

Abstract

Exploiting the notion of measurement-induced nonlocality [Phys.Rev. Lett. 106, 120401 (2011)], we introduce a new measure to quantify the nonbilocal correlation. We establish a simple relation between the nonlocal and nonbilocal measures for the arbitrary pure input states. Considering the mixed states as inputs, we derive two upper bounds of affinity-based nonbilocal measure. Finally, we have studied the nonbilocality of a different combinations of input states.