Quantum walk on a comb with infinite teeth
Keyword(s):
Abstract We study continuous time quantum random walk on a comb with infinite teeth and show that the return probability to the starting point decays with time t as t−1. We analyse the diffusion along the spine and into the teeth and show that the walk can escape into the teeth with a finite probability and goes to infinity along the spine with a finite probability. The walk along the spine and into the teeth behaves qualitatively as a quantum random walk on a line. This behaviour is quite different from that of classical random walk on the comb.
2007 ◽
Vol 05
(06)
◽
pp. 781-793
◽
2006 ◽
Vol 364
(1849)
◽
pp. 3407-3422
◽
Keyword(s):
2014 ◽
Vol 414
◽
pp. 154-162
◽
Keyword(s):
Keyword(s):
Keyword(s):
2010 ◽
Vol 20
(6)
◽
pp. 1091-1098
◽
Keyword(s):
Keyword(s):