Measurement-induced nonbilocal correlation based on Wigner-Yanase skew information

TL;DR

This paper introduces a new measure of nonbilocal correlation based on Wigner-Yanase skew information, extending the concept of measurement-induced nonlocality to bilocal scenarios with analytical and bound results.

Contribution

It proposes a novel nonbilocal correlation measure using Wigner-Yanase skew information and analyzes its properties and bounds for different quantum states.

Findings

Analytical expression for pure states

Upper bounds for mixed states

Relationship with existing MIN measure

Abstract

Measurement-induced nonlocality (MIN) was proposed for measure the maximum global effect caused by locally invariant measurements. Similarly, the Measurement-induced nonbilocal correlation is a generalization of MIN can be used to measure the maximal global influence caused by the local measurement in the bilocal scenario. In this paper, we propose a new nonbilocal correlation measure based on the Wigner-Yanase skew information. The relationship between the MIN based on Wigner-Yanase skew information and our measure is discussed. We present an analytical expression of our measure for pure input states and also provide upper bounds for input general mixed states.