Survival Probability of the Quantum Walk with Phase Parameters on the Two-Dimensional Trapped Lattice ()
ABSTRACT
We investigate the time dependence of the survival probability of quantum
walks governed by Fibonacci walks with phase parameters on the trapped
two-dimensional lattice. We have shown that the survival probability of the
quantum walk decays with time obey to the stretched exponential law for all
initial states of walkers. We have also shown that stretched exponential decay
parameter β can be arranged by phase parameter combination. Obtained numerical results
show that phase parameters can be used as a control parameter to determine the
decay rate of the survival probability of the quantum walk.
Share and Cite:
Ampadu, C. , Gönülol, M. and Aydıner, E. (2013) Survival Probability of the Quantum Walk with Phase Parameters on the Two-Dimensional Trapped Lattice.
Journal of Quantum Information Science,
3, 51-56. doi:
10.4236/jqis.2013.32010.