000203911 001__ 203911 000203911 005__ 20210129220413.0 000203911 0247_ $$2doi$$a10.1016/j.phpro.2015.07.109 000203911 0247_ $$2Handle$$a2128/9348 000203911 0247_ $$2WOS$$aWOS:000380514400010 000203911 037__ $$aFZJ-2015-05452 000203911 041__ $$aEnglish 000203911 082__ $$a530 000203911 1001_ $$0P:(DE-Juel1)164132$$aHall, J. S.$$b0 000203911 245__ $$aA Study of Spanning Trees on a D-Wave Quantum Computer 000203911 260__ $$aAmsterdam [u.a.]$$bElsevier$$c2015 000203911 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1445493329_1449 000203911 3367_ $$2DataCite$$aOutput Types/Journal article 000203911 3367_ $$00$$2EndNote$$aJournal Article 000203911 3367_ $$2BibTeX$$aARTICLE 000203911 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000203911 3367_ $$2DRIVER$$aarticle 000203911 520__ $$aThe performance of a 496 qubit D-Wave Two quantum computer was investigated for spanning tree problems. The chip has a Chimera interaction graph G, an 8x8 lattice of clusters of eight qubits. Problem input consists of values for the fields hj and for the two-qubit interactions Ji,j of an Ising spin-glass problem formulated on G. Output is returned in terms of a spin configuration {sj}, with sj = ±1. A tree is a connected, undirected subgraph of G that contains no cycles, and a spanning tree is a tree which includes all of the vertices of G. We generated random spanning trees (RSTs), uniformly distributed over all spanning trees of G. One hundred RSTs with random Ji,j = {-1,1} and hj = 0 were generated on the full 8x8 graph G of the chip. Each RST problem was solved up to one hundred times and the number of times the ground state energy was found was recorded. This procedure was repeated for square subgraphs G′, thereby providing results for portions of the chip with dimensions ranging from 2x2 to 8x8. 000203911 536__ $$0G:(DE-HGF)POF3-511$$a511 - Computational Science and Mathematical Methods (POF3-511)$$cPOF3-511$$fPOF III$$x0 000203911 588__ $$aDataset connected to CrossRef 000203911 7001_ $$0P:(DE-HGF)0$$aNovotny, M. A.$$b1$$eCorresponding author 000203911 7001_ $$0P:(DE-Juel1)132210$$aNeuhaus, T.$$b2 000203911 7001_ $$0P:(DE-Juel1)138295$$aMichielsen, Kristel$$b3 000203911 773__ $$0PERI:(DE-600)2455598-8$$a10.1016/j.phpro.2015.07.109$$gVol. 68, p. 56 - 60$$p56 - 60$$tPhysics procedia$$v68$$x1875-3892$$y2015 000203911 8564_ $$uhttps://juser.fz-juelich.de/record/203911/files/1-s2.0-S1875389215007191-main.pdf$$yOpenAccess 000203911 8564_ $$uhttps://juser.fz-juelich.de/record/203911/files/1-s2.0-S1875389215007191-main.gif?subformat=icon$$xicon$$yOpenAccess 000203911 8564_ $$uhttps://juser.fz-juelich.de/record/203911/files/1-s2.0-S1875389215007191-main.jpg?subformat=icon-1440$$xicon-1440$$yOpenAccess 000203911 8564_ $$uhttps://juser.fz-juelich.de/record/203911/files/1-s2.0-S1875389215007191-main.jpg?subformat=icon-180$$xicon-180$$yOpenAccess 000203911 8564_ $$uhttps://juser.fz-juelich.de/record/203911/files/1-s2.0-S1875389215007191-main.jpg?subformat=icon-640$$xicon-640$$yOpenAccess 000203911 8564_ $$uhttps://juser.fz-juelich.de/record/203911/files/1-s2.0-S1875389215007191-main.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000203911 909CO $$ooai:juser.fz-juelich.de:203911$$pdnbdelivery$$pVDB$$pdriver$$popen_access$$popenaire 000203911 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)132210$$aForschungszentrum Jülich GmbH$$b2$$kFZJ 000203911 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)138295$$aForschungszentrum Jülich GmbH$$b3$$kFZJ 000203911 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)138295$$aForschungszentrum Jülich GmbH$$b3$$kFZJ 000203911 9131_ $$0G:(DE-HGF)POF3-511$$1G:(DE-HGF)POF3-510$$2G:(DE-HGF)POF3-500$$3G:(DE-HGF)POF3$$4G:(DE-HGF)POF$$aDE-HGF$$bKey Technologies$$lSupercomputing & Big Data$$vComputational Science and Mathematical Methods$$x0 000203911 9141_ $$y2015 000203911 915__ $$0StatID:(DE-HGF)0300$$2StatID$$aDBCoverage$$bMedline 000203911 9201_ $$0I:(DE-Juel1)JSC-20090406$$kJSC$$lJülich Supercomputing Center$$x0 000203911 980__ $$ajournal 000203911 980__ $$aVDB 000203911 980__ $$aI:(DE-Juel1)JSC-20090406 000203911 980__ $$aUNRESTRICTED 000203911 9801_ $$aFullTexts