  We present an efficient scheme for the complete hyperentangled Bell state
analysis (HBSA) of photon system with polarization and two longitudinal
momentum degrees of freedom (DOFs), resorting to weak cross-Kerr nonlinearity,
linear optical elements and single photon detectors. In the process of
distinguishing the 64 hyperentangled Bell states in three DOFs, the
self-assisted mechanism is embedded, which makes our scheme simple and
realizable. Moreover, we have discussed the applications of this complete HBSA
scheme for high-capacity quantum communication protocols that are based on
photonic hyperentanglement in three DOFs.
