One-particle loss detection of genuine multipartite entanglement

We study detection of genuine multipartite entanglement based on one-particle loss operator. We obtain a criterion on detecting genuine pure tripartite entanglement. The results are then generalized to arbitrary pure multipartite states. For mixed states by using the correlation tensors of the Bloch representation of density matrices, we obtain an effective criterion of arbitrary dimensional genuine tripartite entanglement. Detailed examples are given to show that our criterion is able to detect more genuine tripartite entanglement states than some existing criteria.

Automated summary

This paper studies the detection of genuine multipartite entanglement using the one-particle loss operator. A criterion for detecting genuine pure tripartite entanglement is derived, which is then extended to arbitrary pure multipartite states. For mixed states, an effective criterion for arbitrary dimensional genuine tripartite entanglement is obtained using correlation tensors of the Bloch representation of density matrices. Detailed examples demonstrate that our criterion is capable of detecting more genuine tripartite entanglement states than some existing criteria.