Quantum Information Processing

, Volume 14, Issue 6, pp 1767–1775 | Cite as

Diagrammatic approach to quantum search

Article

Abstract

We introduce a simple diagrammatic approach for estimating how a randomly walking quantum particle searches on a graph in continuous time, which involves sketching small weighted graphs with self-loops and considering degenerate perturbation theory’s effects on them. Using this method, we give the first example of degenerate perturbation theory solving search on a graph whose evolution occurs in a subspace whose dimension grows with \(N\).

Keywords

Quantum search Quantum walks Quantum algorithms  Perturbation theory Grover’s algorithm 

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Faculty of ComputingUniversity of LatviaRigaLatvia

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