This is a collection of quantum graph algorithms that run on the D-Wave quantum annealer. Graph partioning and community detection have been formulated as quadratic unconstrained binary optimization (QUBO) problems that run on the D-Wave.

• Quantum Graph Partitioning
• Quantum Community Detection

• Susan M. Mniszewski [email protected]
• Christian F. A. Negre [email protected]
• Hayato M. Ushijima-Mwesigwa

python_version >= '3.8'

@INPROCEEDINGS{Ushijima-Mwesigwa2017,
title     = "Graph Partitioning Using Quantum Annealing on the {D-Wave} System",
booktitle = "Proceedings of the Second International Workshop on Post Moores Era Supercomputing (PMES'17)",
author    = "Ushijima-Mwesigwa, Hayato and Negre, Christian F A and Mniszewski, Susan M",
publisher = "ACM New York, NY, USA",
pages     = "22--29",
year      =  2017,
keywords  = "Community detection, Graph-partitioning, Quantum Annealing",
location  = "Denver, CO, USA"
}

@ARTICLE{Negre2020,
title    = "Detecting Multiple Communities Using Quantum Annealing on the {D-Wave} System",
author   = "Negre, Christian F A and Ushijima-Mwesigwa, Hayato and Mniszewski, Susan M",
journal  = "PLOS ONE",
volume   = 15,
number   = 2,
pages    = "e0227538",
year     =  2020
}

@ARTICLE{Mniszewski2021,
author = {Mniszewski, Susan M. and Dub, Pavel A. and Tretiak, Sergei and Anisimov, Petr M. and Zhang, Yu and Negre, Christian F. A.},
title = {Reduction of the molecular hamiltonian matrix using quantum community detection},
journal = {Sci. Rep.},
volume = {11},
number = {1},
pages = {4099},
ISSN = {2045-2322},
DOI = {10.1038/s41598-021-83561-x},
url = {https://doi.org/10.1038/s41598-021-83561-x},
year = {2021},
type = {Journal Article}
}

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