PT Journal
AU Perez, A
   Romanelli, A
TI Spatially Dependent Decoherence and Anomalous Diffussion of Quantum Walks
SO Journal of Computational and Theoretical Nanoscience
JI J. Comput. Theor. Nanosci.
PY 2013
BP 1591
EP 1595
VL 10
IS 7
DI 10.1166/jctn.2013.3093
LA English
DE Decoherence; Quantum Walk; Non-Translational Invariance
AB We analyze the long time behavior of a discrete time quantum walk subject to decoherence with a strong spatial dependence, acting on one half of the lattice. We show that, except for limiting cases on the decoherence parameter, the quantum walk at late times behaves sub-ballistically, meaning that the characteristic features of the quantum walk are not completely spoiled. Contrarily to expectations, the asymptotic behavior is non Markovian, and depends on the amount of decoherence. This feature can be clearly shown on the long time value of the Generalized Chiral Distribution (GCD).
ER