Einstein-Podolsky-Rosen (EPR) steering has important practical applications in secure quantum communication because of its unique characters. Multicolor and multipartite EPR steering is an important resource for connecting different physical systems in the quantum networks with several nodes. We investigate three-color and tripartite steering properties based on the intracavity cascaded nonlinear processes of down conversion and sum frequency. Based on the criteria proposed by Kogias [Phys. Rev. Lett. 114, 060403 (2015)], the steering parameters among down-conversion fields and sum-frequency field versus the normalized frequency and the pump parameter are studied. Our research shows that the direction of steering and steerability can be manipulated flexibly. We also show that quantum secret sharing can be realized in our scheme. And the results of asymmetric quantum steering and joint quantum steering among different modes provide a technical reference for the construction of secure quantum information network.

In a quantum communication network, multipartite Einstein–Podolsky–Rosen (EPR) steering has become an important resource and has attracted much attention because of its important role in quantum secret sharing and quantum secure communication. In this paper, we investigate the multipartite EPR steering characteristics of symmetric and asymmetric structures based on four-wave mixing (FWM) processes. Multipartite quantum steering, among the four output light fields produced by two structures, is theoretically analyzed. We find that both symmetric and asymmetric structures can verify Gaussian steered monogamous relationships, but the asymmetric structure produces stronger steering and has more flexibility to manipulate monogamous relationships. The results presented here may find potential applications in secure quantum information manipulation processes.