TITLE:
Survival Probability of the Quantum Walk with Phase Parameters on the Two-Dimensional Trapped Lattice
AUTHORS:
Clement Ampadu, Meltem Gönülol, Ekrem Aydıner
KEYWORDS:
Quantum Walk; Survival Probability
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.3 No.2,
June
10,
2013
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.