Periodicity and perfect state transfer in quantum walks on variants of cycles
Year: 2014
Type: preprint
Abstract: . We systematically investigated perfect state transfer between antipodal nodes of discrete time quantum walks on variants of the cycles C4, C6 and C8 for three choices of coin operator. Perfect state transfer was found, in general, to be very rare, only being preserved for a very small number of ways of modifying the cycles. We observed that some of our useful modifications of C4 could be generalised to an arbitrary num-ber of nodes, and present three families of graphs which admit quantum walks with interesting dynamics either in the continuous time walk, or in the discrete time walk for appropriate selections of coin and initial conditions. These dynamics are either periodicity, perfect state trans-fer, or very high fidelity state transfer. These families are modifications of families known not to exhibit periodicity or perfect state transfer in general. The robustness of the dynamics is tested by varying the initial state, interpolating between structures and by adding decoherence. 1
Authors: K. Barr, T. Proctor, D. Allen, V. Kendon
Institution: University of Leeds
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2201035134