1210.3118 (Min Li et al.)

Average position in quantum walks with a U(2) coin    [PDF]

Min Li, YOng-Sheng Zhang, Guang-Can Guo

We investigated discrete-time quantum walks with an arbitary unitary coin. Here we discover that the average position $ =\max( \sin(\alpha+\gamma)$, while the initial state is $1/\sqrt{2}(\mid0L>+i\mid0R>)$. We prove the result and get some symmetry properties of quantum walks with a U(2) coin with $\mid0L>$ and $\mid0R>$ as the initial state.

View original: http://arxiv.org/abs/1210.3118