Generation of five-photon hyperentangled cluster state with three-photon GHZ state and Bell state via weak cross-Kerr nonlinearity
摘要
We propose a scheme for generating a five-photon hyperentangled spatial-polarization cluster state based on weak cross-Kerr nonlinearity. Using Bell state and three-photon GHZ state as the initial states, this hyperentangled state in two degrees of freedom is generated. The success probability of our scheme can reach 100% without considering experimental conditions. Additionally, we apply a simpler and deterministic controlled-NOT gate in our scheme. Finally, we discuss the error probability of X-homodyne detection and the feasibility of implementing the scheme.