  Quantum duality is a far reaching concept in contemporary theoretical
physics. In the present paper, we reveal the quantum dualities in quantum
anomalous Hall (QAH) phases through concrete two bands Hamiltonian models. Our
models can realize QAH phases with arbitrary large Chern numbers. In real
materials these models may be realized by stacked $n$ layer systems of $c_1=1$
QAH insulators. The topological phase transitions that can change the Chern
numbers are studied. And we investigate the gapless edge modes of our models in
details, and find a new mechanism for the bulk boundary correspondence.
