Detection of tripartite entanglement based on principal basis matrix representations

Abstract

We study the entanglement in tripartite quantum systems by using the principal basis matrix representations of density matrices. Using the Schmidt decomposition and local unitary transformation, we first convert the general states to simpler forms and then construct some special matrices from the correlation tensors of the simplified density matrices. Based on the different linear combinations of these matrices, necessary conditions are presented to detect entanglement of tripartite states. Detailed examples show that our method can detect more entangled states than previous ones.

References in corpus (8)

• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Detection of genuinely entangled and non-separable $n$-partite quantum states
• Measure and detection of genuine multipartite entanglement for tripartite systems
• Objective Compressive Quantum Process Tomography
• Improved Separability Criteria Based on Bloch Representation of Density Matrices
• Detection of multipartite entanglement via quantum Fisher information
• Quantum Fisher information-based detection of genuine tripartite entanglement
• Generalized Bell states and principal realization of the Yangian Y(sl_N)

Cited by in corpus (1)

• Separability criteria based on the Weyl operators