TY  - JOUR
AU  - Perez, A.
AU  - Romanelli, A.
PY  - 2013
DA  - 2013//
TI  - Spatially Dependent Decoherence and Anomalous Diffussion of Quantum Walks
T2  - J. Comput. Theor. Nanosci.
JO  - Journal of Computational and Theoretical Nanoscience
SP  - 1591
EP  - 1595
VL  - 10
IS  - 7
PB  - Amer Scientific Publishers
KW  - Decoherence
KW  - Quantum Walk
KW  - 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).
SN  - 1546-1955
UR  - http://arxiv.org/abs/1109.0122
UR  - https://doi.org/10.1166/jctn.2013.3093
DO  - 10.1166/jctn.2013.3093
LA  - English
N1  - WOS:000322605800007
ID  - Perez+Romanelli2013
ER  -