{"id":"https://openalex.org/W4400494809","doi":"https://doi.org/10.22331/q-2024-07-10-1401","title":"Matrix product state approximations to quantum states of low energy variance","display_name":"Matrix product state approximations to quantum states of low energy variance","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4400494809","doi":"https://doi.org/10.22331/q-2024-07-10-1401"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-07-10-1401","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-10-1401","pdf_url":"https://quantum-journal.org/papers/q-2024-07-10-1401/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2024-07-10-1401/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100499209","display_name":"Kshiti Sneh","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120293","display_name":"Max Planck Institute of Quantum Optics","ror":"https://ror.org/01vekys64","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210120293"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Kshiti Sneh Rai","raw_affiliation_strings":["Instituut-Lorentz, Niels Bohrweg 2, Leiden, NL-2333 CA, The Netherlands","Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Instituut-Lorentz, Niels Bohrweg 2, Leiden, NL-2333 CA, The Netherlands","institution_ids":[]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany","institution_ids":["https://openalex.org/I4210120293"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083228566","display_name":"J. I. Cirac","orcid":"https://orcid.org/0000-0003-3359-1743"},"institutions":[{"id":"https://openalex.org/I4210120293","display_name":"Max Planck Institute of Quantum Optics","ror":"https://ror.org/01vekys64","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210120293"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Ignacio Cirac","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany","institution_ids":["https://openalex.org/I4210120293"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085188489","display_name":"\u00c1lvaro M. Alhambra","orcid":"https://orcid.org/0000-0002-5889-4022"},"institutions":[{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"government","lineage":["https://openalex.org/I134820265"]},{"id":"https://openalex.org/I4210120293","display_name":"Max Planck Institute of Quantum Optics","ror":"https://ror.org/01vekys64","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210120293"]},{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["DE","ES"],"is_corresponding":false,"raw_author_name":"\u00c1lvaro M. Alhambra","raw_affiliation_strings":["Instituto de F\u00edsica Te\u00f3rica UAM/CSIC, C/ Nicol\u00e1s Cabrera 13-15, Cantoblanco, 28049 Madrid, Spain","Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica Te\u00f3rica UAM/CSIC, C/ Nicol\u00e1s Cabrera 13-15, Cantoblanco, 28049 Madrid, Spain","institution_ids":["https://openalex.org/I134820265","https://openalex.org/I63634437"]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany","institution_ids":["https://openalex.org/I4210120293"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100499209"],"corresponding_institution_ids":["https://openalex.org/I4210120293"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":2.0436,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86483703,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"1401","last_page":"1401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9973000288009644,"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":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix-product-state","display_name":"Matrix product state","score":0.6517742276191711},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.6388227343559265},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6249468922615051},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5432958602905273},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5398534536361694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4992537498474121},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.48314470052719116},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.43774205446243286},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4207211434841156},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.3999473750591278},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3609733283519745},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.31273043155670166},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31135794520378113},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20144203305244446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14010480046272278},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.11865252256393433},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08662912249565125}],"concepts":[{"id":"https://openalex.org/C2778351468","wikidata":"https://www.wikidata.org/wiki/Q17149634","display_name":"Matrix product state","level":4,"score":0.6517742276191711},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.6388227343559265},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6249468922615051},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5432958602905273},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5398534536361694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4992537498474121},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.48314470052719116},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.43774205446243286},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4207211434841156},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.3999473750591278},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3609733283519745},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.31273043155670166},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31135794520378113},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20144203305244446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14010480046272278},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.11865252256393433},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08662912249565125},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2024-07-10-1401","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-10-1401","pdf_url":"https://quantum-journal.org/papers/q-2024-07-10-1401/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:digital.csic.es:10261/414102","is_oa":true,"landing_page_url":"http://hdl.handle.net/10261/414102","pdf_url":null,"source":{"id":"https://openalex.org/S4306400616","display_name":"DIGITAL.CSIC (Spanish National Research Council (CSIC))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134820265","host_organization_name":"Consejo Superior de Investigaciones Cient\u00edficas","host_organization_lineage":["https://openalex.org/I134820265"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:scholarlypublications.universiteitleiden.nl:item_4175473","is_oa":true,"landing_page_url":"https://hdl.handle.net/1887/4175473","pdf_url":"https://scholarlypublications.universiteitleiden.nl/access/item%3A4175474/view","source":{"id":"https://openalex.org/S4306400850","display_name":"Leiden Repository (Leiden University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I121797337","host_organization_name":"Leiden University","host_organization_lineage":["https://openalex.org/I121797337"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:95b841962ede4e8e920939263884113f","is_oa":true,"landing_page_url":"https://doaj.org/article/95b841962ede4e8e920939263884113f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1401 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2024-07-10-1401","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-10-1401","pdf_url":"https://quantum-journal.org/papers/q-2024-07-10-1401/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8799999952316284}],"awards":[{"id":"https://openalex.org/G2262748287","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2339292572","display_name":"FIrst NEar-TErm ApplicationS of QUAntum Devices","funder_award_id":"101040729","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2734144814","display_name":null,"funder_award_id":"Munich","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G3463879373","display_name":null,"funder_award_id":"NextGenerationEU/PRTR","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3480869486","display_name":null,"funder_award_id":"13039","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G352791218","display_name":null,"funder_award_id":"(BMBF)","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G3576911842","display_name":null,"funder_award_id":"CEX2020-001007-S","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G3681454997","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4042783231","display_name":null,"funder_award_id":"501100011033","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4126322094","display_name":null,"funder_award_id":"01100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G661330594","display_name":null,"funder_award_id":"00110","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6685425346","display_name":null,"funder_award_id":"0011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G6913765328","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320308269","funder_display_name":"Alexander von Humboldt-Stiftung"},{"id":"https://openalex.org/G7084143925","display_name":null,"funder_award_id":"AEI/10","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G7266728691","display_name":null,"funder_award_id":"13039/501100011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8260616629","display_name":null,"funder_award_id":"011033","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8679735702","display_name":null,"funder_award_id":"13N16066","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400494809.pdf","grobid_xml":"https://content.openalex.org/works/W4400494809.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1701260311","https://openalex.org/W1860740507","https://openalex.org/W1922629554","https://openalex.org/W1964713133","https://openalex.org/W1990516747","https://openalex.org/W1995999485","https://openalex.org/W2001117044","https://openalex.org/W2014237348","https://openalex.org/W2020658897","https://openalex.org/W2034251480","https://openalex.org/W2035298342","https://openalex.org/W2077554328","https://openalex.org/W2086612234","https://openalex.org/W2337544700","https://openalex.org/W2552674253","https://openalex.org/W2770060084","https://openalex.org/W2786326317","https://openalex.org/W2791899439","https://openalex.org/W2907706663","https://openalex.org/W2954597801","https://openalex.org/W2987294005","https://openalex.org/W2994831797","https://openalex.org/W3033538967","https://openalex.org/W3045418111","https://openalex.org/W3099451552","https://openalex.org/W3100584420","https://openalex.org/W3103025498","https://openalex.org/W3105117884","https://openalex.org/W3109481812","https://openalex.org/W3133523757","https://openalex.org/W3135272905","https://openalex.org/W3161925181","https://openalex.org/W3162770100","https://openalex.org/W4224903679","https://openalex.org/W4288051764","https://openalex.org/W4366823930","https://openalex.org/W4380362775","https://openalex.org/W4386937053"],"related_works":["https://openalex.org/W2883805925","https://openalex.org/W3132248873","https://openalex.org/W3003329310","https://openalex.org/W2953085113","https://openalex.org/W3020887029","https://openalex.org/W4298016234","https://openalex.org/W4285148873","https://openalex.org/W2022122405","https://openalex.org/W4287876775","https://openalex.org/W4385232453"],"abstract_inverted_index":{"We":[0,24,128],"show":[1],"how":[2],"to":[3],"efficiently":[4],"simulate":[5],"pure":[6],"quantum":[7],"states":[8,40,75],"in":[9,81,93,141],"one":[10],"dimensional":[11],"systems":[12],"that":[13,36,53,72,87,98,135],"have":[14,89],"both":[15],"finite":[16],"energy":[17,22,42,123],"density":[18],"and":[19],"vanishingly":[20],"small":[21,56],"fluctuations.":[23],"do":[25],"so":[26],"by":[27],"studying":[28],"the":[29,46,82,85,108,117,122,142],"performance":[30],"of":[31,84,116,125,134,148],"a":[32,77,100,114,131],"tensor":[33],"network":[34],"algorithm":[35],"produces":[37],"matrix":[38],"product":[39,126],"whose":[41],"variance":[43],"decreases":[44],"as":[45,55,57],"bond":[47,66],"dimension":[48],"increases.":[49],"Our":[50,103],"results":[51],"imply":[52],"variances":[54],"∝1/log⁡N":[60],"can":[61],"be":[62,147],"achieved":[63],"with":[64,76,95,138],"polynomial":[65],"dimension.":[67],"With":[68],"this,":[69],"we":[70],"prove":[71],"there":[73],"exist":[74],"very":[78],"narrow":[79],"support":[80],"bulk":[83],"spectrum":[86],"still":[88],"moderate":[90],"entanglement":[91],"entropy,":[92],"contrast":[94],"typical":[96],"eigenstates":[97],"display":[99],"volume":[101],"law.":[102],"main":[104],"technical":[105],"tool":[106],"is":[107],"Berry-Esseen":[109],"theorem":[110,120],"for":[111,121],"spin":[112],"systems,":[113],"strengthening":[115],"central":[118],"limit":[119],"distribution":[124],"states.":[127],"also":[129],"give":[130],"simpler":[132],"proof":[133],"theorem,":[136],"together":[137],"slight":[139],"improvements":[140],"error":[143],"scaling,":[144],"which":[145],"should":[146],"independent":[149],"interest.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-25T14:56:36.534964","created_date":"2024-07-11T00:00:00"}