CoSMoS 2013
نویسندگان
چکیده
We describe an algorithm which automates the generation of appropriate shift and coin operators for a discrete time quantum walk, given the adjacency matrix of the graph over which the walk is run. This gives researchers the freedom to numerically investigate any discrete time quantum walk over graphs of a computationally tractable size by greatly reducing the time required to initialise a given walk. We then describe two situations in which the swift initialisation of walks has enabled systematic investigations of walks over a large number of structures. The results of these simulations and their reliability, as well as the general suitability of numerical analysis as a tool for investigating discrete time quantum walks, are briefly discussed. We also mention specific Python packages which facilitate our simulations and analysis, motivating the use of high level programming languages in this context.
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