# Site- and bond-percolation thresholds in K_{n,n}-based lattices: Vulnerability of quantum annealers to random qubit and coupler failures on chimera topologies.

@article{Melchert2015SiteAB, title={Site- and bond-percolation thresholds in K\_\{n,n\}-based lattices: Vulnerability of quantum annealers to random qubit and coupler failures on chimera topologies.}, author={Oliver Melchert and Helmut G. Katzgraber and Mark A. Novotny}, journal={Physical review. E}, year={2015}, volume={93}, pages={ 042128 } }

We estimate the critical thresholds of bond and site percolation on nonplanar, effectively two-dimensional graphs with chimeralike topology. The building blocks of these graphs are complete and symmetric bipartite subgraphs of size 2n, referred to as K_{n,n} graphs. For the numerical simulations we use an efficient union-find-based algorithm and employ a finite-size scaling analysis to obtain the critical properties for both bond and site percolation. We report the respective percolation…

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