Speaker
Mr
Hazmatally Goolam Hossen
(UKZN)
Description
A model of non-reversal quantum walk is introduced. In such a walk, the walker cannot go back to previously visited sites but it can stay on the same site or move to a new site. The process is introduced on a line using the formalism of Open Quantum Walks (OQWs). Afterwards, the non-reversal OQW is demonstrated in 2D. The ``quantum coin'' used consists of Kraus operators, each representing one direction. Examples of some trajectories and distributions are given. An interesting relationship is formulated between the radius of the spread and the number of steps of the walk. The results are compared with the ordinary OQW and the classical Self-Avoiding Walk.
Level for award<br> (Hons, MSc, <br> PhD, N/A)?
PhD
Main supervisor (name and email)<br>and his / her institution
Supervisor: Professor Francesco Petruccione
Petruccione@ukzn.ac.za
Co-supervisor: Doctor Ilya Sinayskiy
Sinayskiy@ukzn.ac.za
Apply to be<br> considered for a student <br> award (Yes / No)?
Yes
Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)?
Yes
Primary author
Mr
Hazmatally Goolam Hossen
(UKZN)
Co-authors
Prof.
Francesco Petruccione
(UKZN)
Dr
Ilya Sinayskiy
(UKZN)
