S Salimi and R Radgohar 2009 J. Phys. A: Math. Theor. 42 475302 doi:10.1088/1751-8113/42/47/475302
S Salimi and R Radgohar
Show affiliationsWe study the effect of small decoherence in continuous-time quantum walks on long-range interacting cycles, which are constructed by connecting all the two nodes of distance m on the cycle graph. In our investigation, each node is continuously monitored by an individual point contact, which induces the decoherence process. We obtain the analytical probability distribution and the mixing time upper bound. Our results show that, for small rates of decoherence, the mixing time upper bound is independent of distance parameter m and is proportional to inverse of decoherence rate.
82C41 Dynamics of random walks, random surfaces, lattice animals, etc. (See also 60G50)
Issue 47 (27 November 2009)
Received 27 July 2009
Published 29 October 2009
S Salimi and R Radgohar 2009 J. Phys. A: Math. Theor. 42 475302
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