Average position of quantum walks with an arbitrary initial state

Li Min, Cheng ZaiJun, Wang LingJie +1

We investigated discrete time quantum walks with an arbitrary initial state $\mid {\Psi }_0(\theta ,\varphi ,\phi )⟩=\cos \theta e^{i\varphi }\mid 0L⟩+\sin \theta e^{i\phi }\mid 0R⟩$ with a U(2) coin $U(\alpha ,\beta ,\gamma )$.…