  We present an efficient scheme for the complete analysis of hyperentangled
Greenberger-Horne-Zeilinger (GHZ) state in polarization and time-bin degrees of
freedom with two steps. First, the polarization GHZ state is distinguished
completely and nondestructively, resorting to the controlled phase flip (CPF)
gate constructed by the cavity-assisted interaction. Subsequently, the time-bin
GHZ state is analyzed by using the preserved polarization entanglement. With
the help of CPF gate and self-assisted mechanism, our scheme can be directly
generalized to the complete N-photon hyperentangled GHZ state analysis, and it
may have potential applications in the hyperentanglement-based quantum
communication.
