Embedding quadratization gadgets on Chimera and Pegasus graphs
Quantum Physics
2019-01-24 v1 Discrete Mathematics
Emerging Technologies
Abstract
We group all known quadratizations of cubic and quartic terms in binary optimization problems into six and seven unique graphs respectively. We then perform a minor embedding of these graphs onto the well-known Chimera graph, and the brand new Pegasus graph. We conclude with recommendations for which gadgets are best to use when aiming to reduce the total number of qubits required to embed a problem.
Cite
@article{arxiv.1901.07676,
title = {Embedding quadratization gadgets on Chimera and Pegasus graphs},
author = {Nike Dattani and Nick Chancellor},
journal= {arXiv preprint arXiv:1901.07676},
year = {2019}
}
Comments
We thank Nick Wormald of Monash University for helpful comments and suggestions regarding our gadget graphs