Quantum walk transport properties on graphene structures (2016)
Journal Article
Bougroura, H., Aissaoui, H., Chancellor, N., & Kendon, V. (2016). Quantum walk transport properties on graphene structures. Physical Review A, 94(6), Article 062331. https://doi.org/10.1103/physreva.94.062331

We present numerical studies of quantum walks on C 60 and related graphene structures to investigate their transport properties. Also known as a honeycomb lattice, the lattice formed by carbon atoms in the graphene phase can be rolled up to form nano... Read More about Quantum walk transport properties on graphene structures.

A Direct Mapping of Max k-SAT and High Order Parity Checks to a Chimera Graph (2016)
Journal Article
Chancellor, N., Zohren, S., Warburton, P., Benjamin, S., & Roberts, S. (2016). A Direct Mapping of Max k-SAT and High Order Parity Checks to a Chimera Graph. Scientific Reports, 6, Article 37107. https://doi.org/10.1038/srep37107

We demonstrate a direct mapping of max k-SAT problems (and weighted max k-SAT) to a Chimera graph, which is the non-planar hardware graph of the devices built by D-Wave Systems Inc. We further show that this mapping can be used to map a similar class... Read More about A Direct Mapping of Max k-SAT and High Order Parity Checks to a Chimera Graph.

Maximum-entropy inference with a programmable annealer (2016)
Journal Article
Chancellor, N., Szoke, S., Vinci, W., Aeppli, G., & Warburton, P. (2016). Maximum-entropy inference with a programmable annealer. Scientific Reports, 6(1), Article 22318. https://doi.org/10.1038/srep22318

Optimisation problems typically involve finding the ground state (i.e. the minimum energy configuration) of a cost function with respect to many variables. If the variables are corrupted by noise then this maximises the likelihood that the solution i... Read More about Maximum-entropy inference with a programmable annealer.