{"id":"https://openalex.org/W2736806262","doi":"https://doi.org/10.1103/physrevb.96.045128","title":"Optimized contraction scheme for tensor-network states","display_name":"Optimized contraction scheme for tensor-network states","publication_year":2017,"publication_date":"2017-07-20","ids":{"openalex":"https://openalex.org/W2736806262","doi":"https://doi.org/10.1103/physrevb.96.045128","mag":"2736806262"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.96.045128","doi":"https://doi.org/10.1103/physrevb.96.045128","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.96.045128","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1705.08577","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002437867","display_name":"Z. Y. Xie","orcid":"https://orcid.org/0000-0002-7756-3552","observed_orcids":["https://orcid.org/0000-0002-7756-3552"]},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Z. Y. Xie","raw_affiliation_strings":["Department of Physics, Renmin University of China, Beijing 100872, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Renmin University of China, Beijing 100872, China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030654065","display_name":"Haijun Liao","orcid":"https://orcid.org/0000-0002-2624-8691","observed_orcids":["https://orcid.org/0000-0002-2624-8691"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"H. J. Liao","raw_affiliation_strings":["Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058830273","display_name":"Rui-Zhen Huang","orcid":"https://orcid.org/0000-0001-5393-8738","observed_orcids":["https://orcid.org/0000-0001-5393-8738"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"R. Z. Huang","raw_affiliation_strings":["Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"raw_affiliation_string":"School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006257322","display_name":"Haidong Xie","orcid":"https://orcid.org/0000-0002-2434-6300","observed_orcids":["https://orcid.org/0000-0002-2434-6300"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"H. D. Xie","raw_affiliation_strings":["Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"raw_affiliation_string":"School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":null,"display_name":"J. Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"J. Chen","raw_affiliation_strings":["Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"raw_affiliation_string":"School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100383206","display_name":"Ziyi Liu","orcid":"https://orcid.org/0000-0002-5561-3889","observed_orcids":["https://orcid.org/0000-0002-5561-3889"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Z. Y. Liu","raw_affiliation_strings":["Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China","School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]},{"raw_affiliation_string":"School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043563677","display_name":"Tao Xiang","orcid":"https://orcid.org/0000-0001-5998-7338","observed_orcids":["https://orcid.org/0000-0001-5998-7338"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210127494","display_name":"Collaborative Innovation Center of Quantum Matter","ror":"https://ror.org/03jn38r85","country_code":"CN","type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4210127494","https://openalex.org/I99065089"]},{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"T. Xiang","raw_affiliation_strings":["Collaborative Innovation Center of Quantum Matter, Beijing 100190, China","Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center of Quantum Matter, Beijing 100190, China","institution_ids":["https://openalex.org/I4210127494"]},{"raw_affiliation_string":"Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]},{"raw_affiliation_string":"School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6177,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.91117124,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"96","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":9.999999747378752e-05,"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/T12303","display_name":"Tensor decomposition and applications","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor-network-states","display_name":"tensor network states","score":0.7749999761581421},{"id":"https://openalex.org/keywords/tensor-network-contraction","display_name":"tensor network contraction","score":0.7329999804496765},{"id":"https://openalex.org/keywords/bond-dimension","display_name":"bond dimension","score":0.6959999799728394},{"id":"https://openalex.org/keywords/expectation-values","display_name":"expectation values","score":0.7360000014305115},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.6380000114440918}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.7704813480377197},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.6250693798065186},{"id":"https://openalex.org/C124007464","wikidata":"https://www.wikidata.org/wiki/Q428091","display_name":"Tensor contraction","level":3,"score":0.5425065755844116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5167078971862793},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.42878761887550354},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38305652141571045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.347159206867218},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2641047239303589},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16619661450386047},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.14927709102630615},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12373131513595581},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1070023775100708},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevb.96.045128","doi":"https://doi.org/10.1103/physrevb.96.045128","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.96.045128","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1705.08577","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.08577","pdf_url":"https://arxiv.org/pdf/1705.08577","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2620545727","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1705.08577","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1705.08577","doi":"https://doi.org/10.48550/arxiv.1705.08577","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1705.08577","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1705.08577","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.08577","pdf_url":"https://arxiv.org/pdf/1705.08577","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G6005412698","display_name":null,"funder_award_id":"2016YFA0300503","funder_id":"https://openalex.org/F4320321540","funder_display_name":"Ministry of Science and Technology of the People's Republic of China"},{"id":"https://openalex.org/G7176227681","display_name":"\u5f20\u91cf\u91cd\u6b63\u5316\u7fa4\u53ca\u5176\u5bf9\u91cf\u5b50\u81ea\u65cb\u6db2\u4f53\u95ee\u9898\u7684\u7814\u7a76","funder_award_id":"11474331","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321540","display_name":"Ministry of Science and Technology of the People's Republic of China","ror":"https://ror.org/027s68j25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1531177993","https://openalex.org/W1590605899","https://openalex.org/W1876287769","https://openalex.org/W1920957234","https://openalex.org/W1922629554","https://openalex.org/W1984674598","https://openalex.org/W1987034448","https://openalex.org/W1990325184","https://openalex.org/W1994584414","https://openalex.org/W2004203093","https://openalex.org/W2004218949","https://openalex.org/W2010492822","https://openalex.org/W2013681083","https://openalex.org/W2016131252","https://openalex.org/W2024689496","https://openalex.org/W2029100014","https://openalex.org/W2037768897","https://openalex.org/W2038811478","https://openalex.org/W2054423241","https://openalex.org/W2057183704","https://openalex.org/W2057666228","https://openalex.org/W2061035023","https://openalex.org/W2061503517","https://openalex.org/W2068918752","https://openalex.org/W2072287243","https://openalex.org/W2074365169","https://openalex.org/W2074426935","https://openalex.org/W2074814947","https://openalex.org/W2087838357","https://openalex.org/W2088160021","https://openalex.org/W2089599587","https://openalex.org/W2090558939","https://openalex.org/W2091393784","https://openalex.org/W2093043767","https://openalex.org/W2149287125","https://openalex.org/W2149354085","https://openalex.org/W2161021349","https://openalex.org/W2164812020","https://openalex.org/W2167325579","https://openalex.org/W2225236746","https://openalex.org/W2263153765","https://openalex.org/W2469000741","https://openalex.org/W2535048027","https://openalex.org/W2557654638","https://openalex.org/W3012936479","https://openalex.org/W3023240136","https://openalex.org/W3037108023","https://openalex.org/W4251024638"],"related_works":["https://openalex.org/W2620545727","https://openalex.org/W7039742136","https://openalex.org/W4391253782","https://openalex.org/W2128319993","https://openalex.org/W7138954653","https://openalex.org/W4401700013","https://openalex.org/W3038950000","https://openalex.org/W1975277392","https://openalex.org/W3005044149","https://openalex.org/W7152132359"],"abstract_inverted_index":{"In":[0],"the":[1,4,40,69,82,94,99,110,130],"tensor-network":[2,24,45,105,115,134],"framework,":[3],"expectation":[5,102],"values":[6,103],"of":[7,29,44,85,98,101,104,114,133],"two-dimensional":[8],"quantum":[9],"states":[10,46,116],"are":[11],"evaluated":[12],"by":[13,67],"contracting":[14],"a":[15,53],"double-layer":[16,70],"tensor":[17,71,77],"network":[18,72],"constructed":[19],"from":[20],"initial":[21],"and":[22,91,96,123,126],"final":[23],"states.":[25,106],"The":[26],"computational":[27],"cost":[28],"carrying":[30],"out":[31],"this":[32,65],"contraction":[33,61],"is":[34],"generally":[35],"very":[36],"high,":[37],"which":[38],"limits":[39],"largest":[41,111],"bond":[42,83,112],"dimension":[43,113],"that":[47],"can":[48,120],"be":[49,89,121],"accurately":[50],"studied":[51],"to":[52,63,88],"relatively":[54],"small":[55],"value.":[56],"We":[57],"propose":[58],"an":[59,74],"optimized":[60],"scheme":[62],"solve":[64],"problem":[66],"mapping":[68],"onto":[73],"intersected":[75],"single-layer":[76],"network.":[78],"This":[79],"reduces":[80],"greatly":[81],"dimensions":[84],"local":[86],"tensors":[87],"contracted":[90],"improves":[92],"dramatically":[93],"efficiency":[95],"accuracy":[97],"evaluation":[100],"It":[107],"almost":[108],"doubles":[109],"whose":[117],"physical":[118],"properties":[119],"efficiently":[122],"reliably":[124],"calculated,":[125],"it":[127],"extends":[128],"significantly":[129],"application":[131],"scope":[132],"methods.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2017-07-31T00:00:00"}