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arXiv · 1507.04774

Fast clique minor generation in Chimera qubit connectivity graphs

Kelly Boothby·Andrew D. King·Aidan Roy
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Abstract

The current generation of D-Wave quantum annealing processor is designed to minimize the energy of an Ising spin configuration whose pairwise interactions lie on the edges of a {\em Chimera} graph $\mathcal C_{M,N,L}$. In order to solve an Ising spin problem with arbitrary pairwise interaction structure, the corresponding graph must be minor-embedded into a Chimera graph. We define a combinatorial class of {\em native clique minors} in Chimera graphs with vertex images of uniform, near minimal size, and provide a polynomial-time algorithm that finds a maximum native clique minor in a given induced subgraph of a Chimera graph. These minors allow improvement over recent work and have immediate practical applications in the field of quantum annealing.

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Kelly Boothby, Andrew D. King, Aidan Roy. 2015-07-16. Fast clique minor generation in Chimera qubit connectivity graphs. https://arxiv.org/abs/1507.04774

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