Entanglement detection via tighter local uncertainty relations

TL;DR

This paper introduces a stronger entanglement detection method based on local uncertainty relations that outperforms previous criteria for both discrete and continuous variables.

Contribution

A new, tighter local uncertainty relation criterion for entanglement detection that improves upon the original method and applies to various variable types.

Findings

Detects more entangled states than previous criteria

Applicable to both discrete and continuous variables

Provides a stronger theoretical foundation for entanglement detection

Abstract

We propose an entanglement criterion based on local uncertainty relations (LURs) in a stronger form than the original LUR criterion introduced in [H. F. Hofmann and S. Takeuchi, Phys. Rev. A \textbf{68}, 032103 (2003)]. Using arbitrarily chosen operators $\{\hat{A}_{k}\}$ and $\{\hat{B}_{k}\}$ of subsystems A and B, the tighter LUR criterion, which may be used not only for discrete variables but also for continuous variables, can detect more entangled states than the original criterion.