  In this paper, we have proposed $SU(2)$ non-Abelian electromagnetism gauge
theory. In the theory, photon has self-interaction and interaction, which can
explain photon entanglement phenomenon in quantum information. Otherwise, we
find there are three kinds photons $\gamma^{+}$, $\gamma^{-}$ and $\gamma^{0}$,
and they have electric charge $+e_{\gamma}$, $-e_{\gamma}$ and $0$,
respectively, which are accordance with some experiment results.
