One Dimensional Quantum Walks with Memory

Details One Dimensional Quantum Walks with Memory One Dimensional Quantum Walks with Memory

2009-11-09

arxiv.org/abs/0911.1653v2

Quantum Information and Computation, Vol. 10, No. 5&6 (2010) 0509-0524

Physics

Quantum Physics

18 pages, 3 figures: second version has small changes: some corrections, extra references, better diagrams.

Scientific paper

We investigate the quantum versions of a one-dimensional random walk, whose
corresponding Markov Chain is of order 2. This corresponds to the walk having a
memory of up to two previous steps. We derive the amplitudes and probabilities
for these walks, and point out how they differ from both classical random
walks, and quantum walks without memory.

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