Quantum walks driven by many coins

被引:131
|
作者
Brun, TA
Carteret, HA
Ambainis, A
机构
[1] Inst Adv Study, Princeton, NJ 08540 USA
[2] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
关键词
D O I
10.1103/PhysRevA.67.052317
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Quantum random walks have been much studied recently, largely due to their highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the discrete quantum random walk on the line: the use of multiple quantum "coins" (or more generally, coins of higher dimension) in order to diminish the effects of interference between paths. We find solutions to this system in terms of the single-coin random walk, and compare the asymptotic limit of these solutions to numerical simulations. We find exact analytical expressions for the time dependence of the first two moments, and show that in the long-time limit the "quantum-mechanical" behavior of the one-coin walk persists, even if each coin is flipped only twice. We further show that this is generic for a very broad class of possible walks, and that this behavior disappears only in the limit of a new coin for every step of the walk.
引用
收藏
页数:17
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