Detection of genuine tripartite entanglement based on Bloch representation of density matrices

We study the genuine multipartite entanglement in tripartite quantum systems. By using Schmidt decomposition and local unitary transformation, we convert general states to simpler forms consider certain matrices from correlation tensors Bloch representation of simplified density matrices. Using these special matrices, obtain new criteria for entanglement. Detail examples show that our are able detect more entangled than some existing criteria.