Inequalities detecting entanglement for arbitrary bipartite systems

TL;DR

This paper introduces new inequalities derived from $SU(n)$ generators that serve as sufficient conditions for detecting entanglement in bipartite quantum systems, offering an experimentally feasible method.

Contribution

It develops inequalities based on $SU(n)$ generators that detect entanglement in arbitrary bipartite systems, enhancing experimental detection methods.

Findings

Provides inequalities for $2 imes d$ and $M imes N$ systems

Offers a sufficient condition for entanglement detection in mixed states

Enables experimental implementation of entanglement detection

Abstract

Based on the generators of $SU(n)$ we present inequalities for detecting quantum entanglement for $2 \otimes d$ and $M \otimes N$ systems. These inequalities provide a sufficient condition of entanglement for bipartite mixed states and give rise to an experimental way of entanglement detection.