{"id":"https://openalex.org/W7147618191","doi":"https://doi.org/10.48550/arxiv.2603.28065","title":"Quantum-inspired Tensor Network for QUBO, QUDO and Tensor QUDO Problems with k-neighbors","display_name":"Quantum-inspired Tensor Network for QUBO, QUDO and Tensor QUDO Problems with k-neighbors","publication_year":2026,"publication_date":"2026-03-30","ids":{"openalex":"https://openalex.org/W7147618191","doi":"https://doi.org/10.48550/arxiv.2603.28065"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.28065","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.28065","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.28065","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5118616735","display_name":"Sergio Mu\u00f1iz Subi\u00f1as","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Subi\u00f1as, Sergio Mu\u00f1iz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102766432","display_name":"Alejandro Mata Ali","orcid":"https://orcid.org/0009-0006-7289-8827"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ali, Alejandro Mata","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105886122","display_name":"Jorge M. Martin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mart\u00edn, Jorge Mart\u00ednez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051151030","display_name":"Miguel Franco Hernando","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hernando, Miguel Franco","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020890536","display_name":"Javier Sedano","orcid":"https://orcid.org/0000-0002-4191-8438"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sedano, Javier","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058593839","display_name":"\u00c1ngel Miguel Garc\u00eda-Vico","orcid":"https://orcid.org/0000-0003-1583-2128"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Garc\u00eda-Vico, \u00c1ngel Miguel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.599399983882904,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.599399983882904,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.3467999994754791,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.005499999970197678,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-unconstrained-binary-optimization","display_name":"Quadratic unconstrained binary optimization","score":0.8672999739646912},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6200000047683716},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6122000217437744},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5746999979019165},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5562000274658203},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5077999830245972},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.47589999437332153}],"concepts":[{"id":"https://openalex.org/C177179195","wikidata":"https://www.wikidata.org/wiki/Q7268372","display_name":"Quadratic unconstrained binary optimization","level":4,"score":0.8672999739646912},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6200000047683716},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6122000217437744},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5746999979019165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5679000020027161},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5562000274658203},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5077999830245972},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.47589999437332153},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46230000257492065},{"id":"https://openalex.org/C145671259","wikidata":"https://www.wikidata.org/wiki/Q1493786","display_name":"Discrete optimization","level":3,"score":0.46160000562667847},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4205000102519989},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.39890000224113464},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35670000314712524},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.33869999647140503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3156000077724457},{"id":"https://openalex.org/C90952326","wikidata":"https://www.wikidata.org/wiki/Q3650511","display_name":"Tensor calculus","level":4,"score":0.2856999933719635},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.26460000872612},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.2621000111103058},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.25619998574256897}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.28065","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.28065","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.28065","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.28065","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.46046361327171326,"id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"work":[1],"presents":[2],"a":[3,69,89,103],"novel":[4],"tensor":[5,76],"network":[6],"algorithm":[7,32],"for":[8],"solving":[9],"Quadratic":[10,16,24],"Unconstrained":[11,17,25],"Binary":[12],"Optimization":[13,19,27],"(QUBO)":[14],"problems,":[15,21],"Discrete":[18,26],"(QUDO)":[20],"and":[22,50,62,78,88],"Tensor":[23],"(T-QUDO)":[28],"problems.":[29],"The":[30],"proposed":[31],"is":[33,100],"based":[34,73,81],"on":[35,74,82],"the":[36,79,95,109,112],"MeLoCoToN":[37],"methodology,":[38],"which":[39],"solves":[40],"combinatorial":[41],"optimization":[42,105],"problems":[43,64],"by":[44],"employing":[45],"superposition,":[46],"imaginary":[47],"time":[48],"evolution,":[49],"projective":[51],"measurements.":[52],"Additionally,":[53],"two":[54],"different":[55],"approaches":[56],"are":[57],"presented":[58],"to":[59,107],"solve":[60],"QUBO":[61],"QUDO":[63],"with":[65,102],"k-neighbors":[66],"interactions":[67],"in":[68,116],"lineal":[70],"chain,":[71],"one":[72],"4-order":[75],"contraction":[77],"other":[80],"matrix-vector":[83],"multiplication,":[84],"including":[85],"sparse":[86],"computation":[87],"new":[90],"technique":[91],"called":[92],"\"Waterfall\".":[93],"Furthermore,":[94],"performance":[96,110],"of":[97,111],"both":[98],"implementations":[99],"compared":[101],"quadratic":[104],"solver":[106],"demonstrate":[108],"method,":[113],"showing":[114],"advantages":[115],"several":[117],"problem":[118],"instances.":[119]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-02T00:00:00"}
