Analyzing the Quantum Annealing Approach for Solving Linear Least Squares Problems

dc.contributor.authorBorle, Ajinkya
dc.contributor.authorLomonaco, Samuel J.
dc.date.accessioned2018-10-17T17:05:59Z
dc.date.available2018-10-17T17:05:59Z
dc.date.issued2018-09-27
dc.description.abstractWith the advent of quantum computers, researchers are exploring if quantum mechanics can be leveraged to solve important problems in ways that may provide advantages not possible with conventional or classical methods. A previous work by O'Malley and Vesselinov in 2016 briefly explored using a quantum annealing machine for solving linear least squares problems for real numbers. They suggested that it is best suited for binary and sparse versions of the problem. In our work, we propose a more compact way to represent variables using two's and one's complement on a quantum annealer. We then do an in-depth theoretical analysis of this approach, showing the conditions for which this method may be able to outperform the traditional classical methods for solving general linear least squares problems. Finally, based on our analysis and observations, we discuss potentially promising areas of further research where quantum annealing can be especially beneficial.en_US
dc.description.urihttps://arxiv.org/abs/1809.07649en_US
dc.format.extent16 pagesen_US
dc.genreJournal article pre-printen_US
dc.identifierdoi:10.13016/M2X34MW34
dc.identifier.urihttp://hdl.handle.net/11603/11587
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjectQuantum Annealingen_US
dc.subjectSimulated Annealingen_US
dc.subjectQuantum Computingen_US
dc.subjectCombinatorial Optimizationen_US
dc.subjectLinear Least Squaresen_US
dc.subjectNumerical Methodsen_US
dc.titleAnalyzing the Quantum Annealing Approach for Solving Linear Least Squares Problemsen_US
dc.typeTexten_US

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