摘要

Entanglement shared by multipartite is an important resource for quantum technologies. Recently, thehexapartite entanglement generated from the four-wave mixing (FWM) process with a spatially structuredpump (SSP) has been experimentally demonstrated (Zhang et al., 2020). To further increase the number ofentangled beams, we theoretically propose a scheme for generating twelve-partite entanglement based ontwo independent symmetric FWM processes with a SSP and one linear beam splitter (BS). The entanglementproperties are analyzed by utilizing the positivity under partial transposition criterion, and we find that thereis twelve-partite entanglement in the whole interaction region and the degree of entanglement increases asthe interaction time increases. In addition, we investigate the dependence of entanglement characteristics ofthe system on transmissivity of BS and eigenmode structure embedded within the system as well to furtherstudy the underlying entanglement structure. Our results pave the way for the experimental generation ofmultipartite entanglement from the SSP-based FWM process.