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arXiv · 1410.7201

Diagrammatic Approach to Quantum Search

Thomas G. Wong
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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 $N$.

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Thomas G. Wong. 2015-02-09. Diagrammatic Approach to Quantum Search. https://doi.org/10.1007/s11128-015-0959-3

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