Diagrammatic approach to quantum search
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- Wong, T.G. Quantum Inf Process (2015) 14: 1767. doi:10.1007/s11128-015-0959-3
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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 \(N\).