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Open Quantum Systems Decoherence

Quantum walk-based search and centrality

arXiv
Authors: Scott D. Berry, Jingbo B. Wang

Year

2010

Paper ID

11001

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

Abstract

We study the discrete-time quantum walk-based search for a marked vertex on a graph. By considering various structures in which not all vertices are equivalent, we investigate the relationship between the successful search probability and the position of the marked vertex, in particular its centrality. We find that the maximum value of the search probability does not necessarily increase as the marked vertex becomes more central and we investigate an interesting relationship between the frequency of the successful search probability and the centrality of the marked vertex.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • We study the discrete-time quantum walk-based search for a marked vertex on a graph.

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