Quantum random walks with history dependence

Details Quantum random walks with history dependence Quantum random walks with history dependence

2003-11-04

arxiv.org/abs/quant-ph/0311009v1

J. Phys. A 37 (2004) 7581-7591

Physics

Quantum Physics

8 pages, 6 figures, RevTeX

Scientific paper

10.1088/0305-4470/37/30/013

We introduce a multi-coin discrete quantum random walk where the amplitude for a coin flip depends upon previous tosses. Although the corresponding classical random walk is unbiased, a bias can be introduced into the quantum walk by varying the history dependence. By mixing the biased random walk with an unbiased one, the direction of the bias can be reversed leading to a new quantum version of Parrondo's paradox.

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