  The correlations between T, E modes and B modes in cosmic microwave
background (CMB) radiation, which are expected to vanish under parity symmetry,
have become a sensitive probe of the new physics beyond the standard model. In
this paper, we forecast the estimation of TB and EB cross power spectra using
NILC and cILC on AliCPT-1 simulations. We find that, NILC performs better than
cILC on TB and EB correlations in light of its lower uncertainties. In terms of
the birefringence angle estimation without assuming systematic errors, the
combination of CMB TB and EB spectrum from NILC cleaned simulations could reach
a sensitivity of $-0.049^\circ<\beta<0.056^\circ$ (95% CL).
