Entanglement detection via tighter local uncertainty relations

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.

6 pages, 2 figures

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• Detecting non-Markovianity via uncertainty relations
• Entanglement Criteria Based on Quantum Fisher Information
• Detection of bound entanglement in continuous variable systems
• Minimum Uncertainty and Entanglement
• Criteria of genuine multipartite entanglement based on correlation tensors
• Multipartite entanglement detection via generalized Wigner-Yanase skew information
• Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty Relation
• $su(d)$-squeezing and many-body entanglement geometry in finite-dimensional systems
• An Effective Way to Determine the Separability of Quantum State
• Efficient detection for quantum states containing fewer than $k$ unentangled particles in multipartite quantum systems