A class of inequalities inducing new separability criteria for bipartite quantum systems

TL;DR

This paper introduces a new class of inequalities that serve as separability criteria for bipartite quantum systems, extending existing methods like the realignment criterion to better identify entangled states.

Contribution

The paper develops a novel set of inequalities that generalize the realignment criterion, providing a new tool for characterizing quantum entanglement in bipartite systems.

Findings

Derived inequalities are satisfied by all separable states.

The inequalities generalize the realignment criterion.

Potential to improve entanglement detection methods.

Abstract

Inspired by the realignment or computable cross norm criterion, we present a new result about the characterization of quantum entanglement. Precisely, an interesting class of inequalities satisfied by all separable states of a bipartite quantum system is derived. These inequalities induce new separability criteria that generalize the realignment criterion.