Temporal Fluctuations of Continuous-Time Quantum Random Walks on Circles

Abstract

This work deals with both instantaneous uniform mixing property and temporal standard deviation for continuous-time quantum random walks on circles in order to study their fluctuations comparing with discrete-time quantum random walks, and continuous- and discrete-time classical random walks.

11 pages, revised version

References in corpus (7)

• Quantum Computation and Decision Trees
• Exponential algorithmic speedup by quantum walk
• Controlling discrete quantum walks: coins and intitial states
• Weak limits for quantum random walks
• Quantum random walk on the line as a markovian process
• Quantum walks on cycles
• A note on graphs resistant to quantum uniform mixing