{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T14:56:27Z","timestamp":1777042587976,"version":"3.51.4"},"reference-count":45,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"},{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001863","name":"New Energy and Industrial Technology Development Organization","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001863","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Comput."],"published-print":{"date-parts":[[2022,1,1]]},"DOI":"10.1109\/tc.2020.3045112","type":"journal-article","created":{"date-parts":[[2020,12,15]],"date-time":"2020-12-15T21:22:07Z","timestamp":1608067327000},"page":"223-234","source":"Crossref","is-referenced-by-count":22,"title":["How to Reduce the Bit-Width of an Ising Model by Adding Auxiliary Spins"],"prefix":"10.1109","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8611-9624","authenticated-orcid":false,"given":"Daisuke","family":"Oku","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1065-3393","authenticated-orcid":false,"given":"Masashi","family":"Tawada","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0871-3836","authenticated-orcid":false,"given":"Shu","family":"Tanaka","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3400-3587","authenticated-orcid":false,"given":"Nozomu","family":"Togawa","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1038\/nature10012"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TASC.2014.2318294"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-018-0410-x"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/ISEC.2017.8314195"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.7566\/JPSJ.88.061012"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/JSSC.2015.2498601"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.15803\/ijnc.7.2_154"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ICRC.2017.8123652"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.3389\/fphy.2019.00048"},{"key":"ref10","article-title":"Digital annealer : Fujitsu global","year":"2020"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1126\/science.aah4243"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1126\/science.aah5178"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.aav2372"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/BF02980577"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.3389\/fphy.2014.00005"},{"key":"ref16","volume-title":"Quantum Spin Glasses, Annealing and Computation","author":"Tanaka","year":"2017"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/VLSI-DAT.2018.8373233"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/ICCE-Berlin47944.2019.8966207"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.7566\/jpsj.88.061010"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/ICCE-Berlin47944.2019.8966167"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-010-0200-3"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.5.031040"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.1500838"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.92.042310"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-017-1569-z"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-018-1863-4"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1587\/transinf.2018EDP7411"},{"key":"ref28","article-title":"A practical heuristic for finding graph minors","author":"Cai","year":"2014"},{"key":"ref29","article-title":"qbsolv","year":"2020"},{"key":"ref30","article-title":"D-Wave ocean software documentation \u2014 Ocean documentation 0.0.1 documentation","year":"2020"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/HPEC.2016.7761616"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.98.184304"},{"key":"ref33","article-title":"Quantum annealing in the presence of disorder","author":"Brugger","year":"2018"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1126\/science.220.4598.671"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1143\/ptp.56.1454"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.65.1604"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms4243"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.91.042302"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1038\/npjqi.2016.17"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-015-1201-z"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1038\/s41534-019-0210-7"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.91.042314"},{"key":"ref43","article-title":"ICE: Dynamic ranges in h and J values \u2014 D-Wave system documentation documentation","year":"2020"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-2001-2_9"},{"key":"ref45","first-page":"2020","article-title":"AG-Monien | SuiteSparse matrix collection"}],"container-title":["IEEE Transactions on Computers"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/12\/9650776\/09294135.pdf?arnumber=9294135","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,9]],"date-time":"2024-01-09T23:04:31Z","timestamp":1704841471000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9294135\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,1]]},"references-count":45,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tc.2020.3045112","relation":{},"ISSN":["0018-9340","1557-9956","2326-3814"],"issn-type":[{"value":"0018-9340","type":"print"},{"value":"1557-9956","type":"electronic"},{"value":"2326-3814","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1,1]]}}}