Detecting the genuine multipartite two-way steerability with linear steering inequalities

TL;DR

This paper develops a general scheme for designing linear steering inequalities to detect genuine multipartite two-way steerability in bipartite and multipartite quantum systems, expanding the tools for quantum steerability detection.

Contribution

It introduces a unified framework for constructing linear steering inequalities for both bipartite and multipartite systems, including new types beyond existing criteria.

Findings

Designed LSIs can detect two-way steerability in complex systems

The scheme incorporates LSIs from known criteria and Bell operators

Enhances detection capabilities for genuine multipartite steerability

Abstract

According to the fundamental idea that a steering inequality can be constructed by just considering the measurements performed by Bob, and from the definitions of steering from Alice to Bob, a general scheme for designing two different kinds of linear steering inequalities (LSIs) is developed to detect the two-way steerability for bipartite system and the genuine multipartite two-way steerability for multipartite system, respectively. Besides the LSIs constructed from the known one-way criteria and the Bell operators, several other types of LSIs are also considered.