513 citations · 524 across the 3 of their papers we have counts for
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The quantum walk search algorithm: Factors affecting efficiency
Neil B. Lovett, Matthew Everitt, Robert M. Heath +1
We numerically study the quantum walk search algorithm of Shenvi, Kempe and Whaley [PRA \textbf{67} 052307] and the factors which affect its efficiency in finding an individual sta…
Spatial search using the discrete time quantum walk
Neil B. Lovett, Matthew Everitt, Matthew Trevers +3
We study the quantum walk search algorithm of Shenvi, Kempe and Whaley [PRA 67 052307 (2003)] on data structures of one to two spatial dimensions, on which the algorithm is thought…
Universal quantum computation using the discrete time quantum walk
Neil B. Lovett, Sally Cooper, Matthew Everitt +2
A proof that continuous time quantum walks are universal for quantum computation, using unweighted graphs of low degree, has recently been presented by Childs [PRL 102 180501 (2009…