Indexed on: 09 Dec '15Published on: 09 Dec '15Published in: Quantum Physics
We introduce a family of quantum walks on cycles parametrized by their liveliness, defined as the ability to execute a long-range move. We investigate the behavior of the probability distribution and time-averaged probability distribution. We show that the liveliness parameter has a direct impact on the periodicity of the limiting distribution. We also show that the introduced model provides a simple recipe for improving the efficiency of the network exploration.