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Quantum random walk on the integer lattice: examples and phenomena (2009)

Abstract
We apply results from Baryshnikov, Brady, Bressler and Pemantle (2008) to compute limiting probability profiles for various quantum random walks in one and two dimensions. Using analytic machinery we show some features of the limit distribution that are not evident in an empirical intensity plot of the time 10,000 distribution. Some conjectures are stated and computational techniques are discussed as well.

Publication details
Download http://arxiv.org/abs/0903.2967
Repository arXiv (United States)
Keywords Mathematics - Combinatorics, Mathematical Physics, 05A15
Type text