Non-stationary quantum walks on the cycle

Abstract

We consider quantum walks on the cycle in the non-stationary case where the `coin' operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the stationary case, it is possible to asymnptotically reach a uniform distribution among the nodes of the associated graph.

Revised version with minor changes

References in corpus (5)

• Controlling discrete quantum walks: coins and intitial states
• Quantum walks in higher dimensions
• Aperiodic Quantum Random Walks
• One dimensional quantum walk with unitary noise
• Quantum walks on cycles

Cited by in corpus (5)

• Quantum walks: a comprehensive review
• Connection Between Continuous and Discrete Time Quantum Walks on d-Dimensional Lattices; Extensions to General Graphs
• Quantum walks on two kinds of two-dimensional models
• The switching effect of the side chain on quantum walks on triple graphs
• Interference-induced localization in quantum random walk on clean cyclic graph