The Effect of Quantum Coins on the Spreading of Binary Disordered Quantum Walk
ZHAO Jing1, HU Ya-Yun1, TONG Pei-Qing1,2,3**
1Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023 2Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023 3Kavli Institute for Theoretical Physics China, Chinese Academy of Sciences, Beijing 100190
Abstract：The dynamical and static disordered quantum walks were extensively studied recently. It is found that, for the dynamical disorder case, the transport behavior of particles is diffusive, and for the static disorder case the transport behavior is localized. In this work, we study the effect of quantum coins on the transport behaviors of the binary disordered quantum walks. We find that once the coins satisfy certain conditions, the sub-ballistic spreading could be found in binary dynamical disorder quantum walks, and the sub-ballistic, diffusive and sub-diffusive spreadings could be found in binary static disorder quantum walks. We obtain the necessary conditions for those abnormal diffusive behaviors.
2015, Vol. 32 
