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Custom unembedding algorithms for Quantum Annealing

Repository for the paper Advanced unembedding techniques for quantum annealers

  • QUBO_Ising_formulation_generators.py contains functions which can generate QUBOs or Isings for the four NP-Hard problems that are studied, given in an input Networkx graph.
  • custom_Minimum_Vertex_Cover_unembed.py contains all source code for the custom unembedding algorithm for quantum annealer samples from minor embedded Minimum Vertex Cover problems
  • custom_Graph_Partitioning_unembed.py contains all source code for the custom unembedding algorithm for quantum annealer samples from minor embedded Graph Partitioning problems
  • custom_Maximum_Cut_unembed.py contains all source code for the custom unembedding algorithm for quantum annealer samples from minor embedded Maximum Cut problems
  • custom_Minimum_Vertex_Cover_unembed.py contains all source code for the custom unembedding algorithm for quantum annealer samples from minor embedded Maximum Clique problems

Authors

  • Elijah Pelofske: Information Sciences, Los Alamos National Laboratory
  • Georg Hahn: T.H. Chan School of Public Health, Harvard University
  • Hristo Djidjev: Information Sciences, Los Alamos National Laboratory and Institute of Information and Communication Technologies, Sofia, Bulgaria

How to cite?

@article{Pelofske_2020_unembedding,
	doi = {10.1109/icrc2020.2020.00001},
	url = {https://doi.org/10.1109%2Ficrc2020.2020.00001},
	archiveprefix = {arXiv},
	eprint = {2009.05028},
	year = {2020},
	month = {dec},
	publisher = {{IEEE}},
	author = {Elijah Pelofske and Georg Hahn and Hristo Djidjev},
	title = {Advanced unembedding techniques for quantum annealers},  
	booktitle = {2020 International Conference on Rebooting Computing ({ICRC})}
}

Copyright Notice:

© 2021. Triad National Security, LLC. All rights reserved. This program was produced under U.S. Government contract 89233218CNA000001 for Los Alamos National Laboratory (LANL), which is operated by Triad National Security, LLC for the U.S. Department of Energy/National Nuclear Security Administration. All rights in the program are reserved by Triad National Security, LLC, and the U.S. Department of Energy/National Nuclear Security Administration. The Government is granted for itself and others acting on its behalf a nonexclusive, paid-up, irrevocable worldwide license in this material to reproduce, prepare derivative works, distribute copies to the public, perform publicly and display publicly, and to permit others to do so.

LANL C Number: C21052

License:

This program is open source under the BSD-3 License. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

  1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

2.Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

3.Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.