Physics – Quantum Physics
Scientific paper
2005-10-13
Physics
Quantum Physics
11 pages, no figures Submitted to Proc. of 3rd NEXT Sigma-Phi, Kolymbari Aug. 2005, Eds. G. Kaniadakis, A. Carbone, M. Lissia
Scientific paper
10.1016/j.physa.2006.01.008
Quantization and asymptotic behaviour of a variant of discrete random walk on integers are investigated. This variant, the $\epsilon_{V^{k}}$ walk, has the novel feature that it uses many identical quantum coins keeping at the same time characteristic quantum features like the quadratically faster than the classical spreading rate, and unexpected distribution cutoffs. A weak limit of the position probability distribution (pd) is obtained, and universal properties of this arch sine asymptotic distribution function are examined. Questions of driving the walk are investigated by means of a quantum optical interaction model that reveals robustness of quantum features of walker's asymptotic pd, against stimulated and spontaneous quantum noise on the coin system.
Ellinas Demosthenes
Smyrnakis Ioannis
No associations
LandOfFree
Quantization and Asymptotic Behaviour of $ε_{V^{k}}$ Quantum Random Walk on Integers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantization and Asymptotic Behaviour of $ε_{V^{k}}$ Quantum Random Walk on Integers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization and Asymptotic Behaviour of $ε_{V^{k}}$ Quantum Random Walk on Integers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-470215