Quantifying measurement-induced nonbilocal correlation

TL;DR

This paper introduces a measure for quantifying nonbilocal correlations in entanglement-swapping experiments, providing analytical formulas for pure states, discussing computational aspects for mixed states, and establishing a tight upper bound.

Contribution

It presents a new quantifier for nonbilocal correlation, with analytical formulas for pure states and a tight upper bound for mixed states, advancing understanding of nonbilocality.

Findings

Analytical formulas for pure state inputs

Discussion on computational properties for mixed states

Derived a tight upper bound for the quantifier

Abstract

In the paper, we devote to defining an available measure to quantify the nonbilocal correlation in the entanglement-swapping experiment. Then we obtain analytical formulas to calculate the quantifier when the inputs are pure states. For the case of mixed inputs, we discuss the computational properties of the quantifier. Finally, we derive a tight upper bound to the nonbilocality quantifier.