Diagrammatic approach to quantum search

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Publication:2355585

DOI10.1007/S11128-015-0959-3zbMATH Open1317.81071arXiv1410.7201OpenAlexW2071677952MaRDI QIDQ2355585

Author name not available (Why is that?)

Publication date: 24 July 2015

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1410.7201



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