Formulating Mixed Dominating Set Problems for Adiabatic Quantum Computers

Dinneen, MJ; Hooshmandasl, MR; Hua, R

dc.contributor.author	Dinneen, MJ	en
dc.contributor.author	Hooshmandasl, MR	en
dc.contributor.author	Hua, R	en
dc.date.accessioned	2018-07-18T04:42:51Z	en
dc.date.available	2018-07-18T04:42:51Z	en
dc.date.issued	2017	en
dc.identifier.citation	CDMTCS Research Reports CDMTCS-507 (2017)	en
dc.identifier.issn	1178-3540	en
dc.identifier.uri	http://hdl.handle.net/2292/37494	en
dc.description.abstract	In this paper, we present e cient quadratic unconstrained binary optimization (QUBO) formulations for the mixed dominating set and the weighted mixed dominating set problems, which are both NP-hard. By using a D-Wave 2X quantum computer with 1098 active qubits, the QUBO formulation of the unweighted mixed dominating set is tested on several small graphs. In every test graph, 30K samples were taken on the D-Wave computer in two di erent execution modes (with and without post-processing optimization). The experimental results achieved optimal answers in the majority of the cases. The correctness of the formulations are proven, establishing empirical evidence that our formulation and their implementations are correct.	en
dc.publisher	Department of Computer Science, The University of Auckland, New Zealand	en
dc.relation.ispartofseries	CDMTCS Research Report Series	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.source.uri	https://www.cs.auckland.ac.nz/research/groups/CDMTCS/researchreports/index.php	en
dc.title	Formulating Mixed Dominating Set Problems for Adiabatic Quantum Computers	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research	en
dc.rights.holder	The author(s)	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/OpenAccess	en
dc.relation.isnodouble	656972	*