The quantum walk search algorithm: factors affecting efficiency

@article{Lovett2018TheQW,
  title={The quantum walk search algorithm: factors affecting efficiency},
  author={Neil B. Lovett and Matthew S. Everitt and Robert M. Heath and Viv Kendon},
  journal={Mathematical Structures in Computer Science},
  year={2018},
  volume={29},
  pages={389 - 429}
}
We carry out a numerical study of the quantum walk search algorithm of Shenvi, Kempe and Whaley Shenvi et al. (2003) and the factors that affect its efficiency in finding an individual state from an unsorted set. Previous work has focused purely on the effects of the dimensionality of the dataset to be searched. In the current paper we consider the effects of interpolating between dimensions, the connectivity of the dataset and the possibility of disorder in the underlying substrate: all these… 
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