{"id":"https://openalex.org/W4210535193","doi":"https://doi.org/10.3390/sym14020305","title":"Qubit Regularization and Qubit Embedding Algebras","display_name":"Qubit Regularization and Qubit Embedding Algebras","publication_year":2022,"publication_date":"2022-02-02","ids":{"openalex":"https://openalex.org/W4210535193","doi":"https://doi.org/10.3390/sym14020305"},"language":"en","primary_location":{"id":"doi:10.3390/sym14020305","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020305","pdf_url":"https://www.mdpi.com/2073-8994/14/2/305/pdf?version=1644823122","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/2/305/pdf?version=1644823122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002390521","display_name":"Hanqing Liu","orcid":"https://orcid.org/0000-0003-3544-6048"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hanqing Liu","raw_affiliation_strings":["Department of Physics, Duke University, Durham, NC 27708, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Duke University, Durham, NC 27708, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080836099","display_name":"Shailesh Chandrasekharan","orcid":"https://orcid.org/0000-0002-3711-4998"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shailesh Chandrasekharan","raw_affiliation_strings":["Department of Physics, Duke University, Durham, NC 27708, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Duke University, Durham, NC 27708, USA","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080836099"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":3.47,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.93284868,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"14","issue":"2","first_page":"305","last_page":"305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998000264167786,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9997000098228455,"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/T11804","display_name":"Quantum many-body systems","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.721736490726471},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6277998685836792},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5775321125984192},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.4615703821182251},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.45038652420043945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4400509297847748},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.4308466911315918},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42319566011428833},{"id":"https://openalex.org/keywords/lattice-gauge-theory","display_name":"Lattice gauge theory","score":0.4118039309978485},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40564829111099243},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3969159424304962},{"id":"https://openalex.org/keywords/gauge-theory","display_name":"Gauge theory","score":0.38959893584251404},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.38180240988731384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23364949226379395}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.721736490726471},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6277998685836792},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5775321125984192},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4615703821182251},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.45038652420043945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4400509297847748},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4308466911315918},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42319566011428833},{"id":"https://openalex.org/C138817895","wikidata":"https://www.wikidata.org/wiki/Q386769","display_name":"Lattice gauge theory","level":3,"score":0.4118039309978485},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40564829111099243},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3969159424304962},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.38959893584251404},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.38180240988731384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23364949226379395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/sym14020305","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020305","pdf_url":"https://www.mdpi.com/2073-8994/14/2/305/pdf?version=1644823122","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:2e880b4758d747449bfe25606728b78e","is_oa":true,"landing_page_url":"https://doaj.org/article/2e880b4758d747449bfe25606728b78e","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":"Symmetry, Vol 14, Iss 2, p 305 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/2/305/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14020305","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"},{"id":"pmh:oai:osti.gov:1843898","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1843898","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:osti.gov:1981191","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1981191","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.3390/sym14020305","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14020305","pdf_url":"https://www.mdpi.com/2073-8994/14/2/305/pdf?version=1644823122","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1065316766","display_name":null,"funder_award_id":"Award","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1127810244","display_name":null,"funder_award_id":"89233218CNA0000","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1127952987","display_name":null,"funder_award_id":"FG02-05ER41368","funder_id":"https://openalex.org/F4320337512","funder_display_name":"Nuclear Physics"},{"id":"https://openalex.org/G1146855974","display_name":null,"funder_award_id":"KA2401032","funder_id":"https://openalex.org/F4320337511","funder_display_name":"High Energy Physics"},{"id":"https://openalex.org/G124228508","display_name":null,"funder_award_id":"KA2401032","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1346703392","display_name":null,"funder_award_id":"DE-FG02-05ER41368","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1406813184","display_name":null,"funder_award_id":"89233218CNA000","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G1527848044","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G2463017908","display_name":null,"funder_award_id":"KA2401032","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G3793674015","display_name":null,"funder_award_id":"9233218CNA000001","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G4137131732","display_name":null,"funder_award_id":"89233218CNA000001)","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4950733632","display_name":null,"funder_award_id":"000001","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5219260752","display_name":null,"funder_award_id":"DE-FG","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5507634267","display_name":"LATTICE AND EFFECTIVE FIELD THEORY STUDIES OF QUANTUM CHROMODYNAMICS","funder_award_id":"FG02-05ER41368","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5547477537","display_name":null,"funder_award_id":"KA2401032","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G604949671","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320337512","funder_display_name":"Nuclear Physics"},{"id":"https://openalex.org/G6083127429","display_name":null,"funder_award_id":"00001","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7038891139","display_name":null,"funder_award_id":"89233218","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G7186324567","display_name":null,"funder_award_id":"DE-FG02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7268470600","display_name":null,"funder_award_id":"DE-FG02-05ER41368","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G7500863821","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G7851296133","display_name":null,"funder_award_id":"9233218CNA000001","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8221419671","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320337511","funder_display_name":"High Energy Physics"},{"id":"https://openalex.org/G8399427228","display_name":null,"funder_award_id":"DE-FG02-05ER41368","funder_id":"https://openalex.org/F4320337512","funder_display_name":"Nuclear Physics"},{"id":"https://openalex.org/G8659807574","display_name":null,"funder_award_id":"89233218CNA000001","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8684078510","display_name":null,"funder_award_id":"DE-FG02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8770029225","display_name":null,"funder_award_id":"No. 89233218CNA000001","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G8803809456","display_name":null,"funder_award_id":"89233218CNA00000","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G996238640","display_name":null,"funder_award_id":"89233218CNA00000","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337511","display_name":"High Energy Physics","ror":"https://ror.org/035m6g344"},{"id":"https://openalex.org/F4320337512","display_name":"Nuclear Physics","ror":"https://ror.org/02atag894"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4210535193.pdf","grobid_xml":"https://content.openalex.org/works/W4210535193.grobid-xml"},"referenced_works_count":78,"referenced_works":["https://openalex.org/W916150657","https://openalex.org/W1797418550","https://openalex.org/W1889784738","https://openalex.org/W1918709909","https://openalex.org/W1963939684","https://openalex.org/W1967800207","https://openalex.org/W1968970832","https://openalex.org/W1969538961","https://openalex.org/W1982899292","https://openalex.org/W1990574598","https://openalex.org/W1997759269","https://openalex.org/W1999114609","https://openalex.org/W2017474131","https://openalex.org/W2019200003","https://openalex.org/W2027330396","https://openalex.org/W2035413341","https://openalex.org/W2035504349","https://openalex.org/W2039097705","https://openalex.org/W2042383482","https://openalex.org/W2042518996","https://openalex.org/W2054073783","https://openalex.org/W2056448235","https://openalex.org/W2057341444","https://openalex.org/W2064604254","https://openalex.org/W2064857546","https://openalex.org/W2067763535","https://openalex.org/W2089264389","https://openalex.org/W2090564176","https://openalex.org/W2092595805","https://openalex.org/W2108235570","https://openalex.org/W2127527212","https://openalex.org/W2160049695","https://openalex.org/W2394549188","https://openalex.org/W2593024776","https://openalex.org/W2781738013","https://openalex.org/W2784059933","https://openalex.org/W2794902311","https://openalex.org/W2796002198","https://openalex.org/W2807924415","https://openalex.org/W2897256113","https://openalex.org/W2899668578","https://openalex.org/W2901441600","https://openalex.org/W2901601408","https://openalex.org/W2919787791","https://openalex.org/W2922006006","https://openalex.org/W2944838167","https://openalex.org/W2945544467","https://openalex.org/W2947075885","https://openalex.org/W2952783763","https://openalex.org/W2955693155","https://openalex.org/W2968297985","https://openalex.org/W2970186195","https://openalex.org/W2970647225","https://openalex.org/W2989469896","https://openalex.org/W2995270135","https://openalex.org/W3037853801","https://openalex.org/W3041702559","https://openalex.org/W3089251802","https://openalex.org/W3098320405","https://openalex.org/W3098479653","https://openalex.org/W3100931082","https://openalex.org/W3101721439","https://openalex.org/W3101820739","https://openalex.org/W3102011347","https://openalex.org/W3103987134","https://openalex.org/W3104244784","https://openalex.org/W3105228778","https://openalex.org/W3108007183","https://openalex.org/W3123840042","https://openalex.org/W3146239690","https://openalex.org/W3154031057","https://openalex.org/W3174680652","https://openalex.org/W3186259228","https://openalex.org/W3186595868","https://openalex.org/W4308326495","https://openalex.org/W6638681576","https://openalex.org/W6642460911","https://openalex.org/W6756895839"],"related_works":["https://openalex.org/W3105631397","https://openalex.org/W1997467212","https://openalex.org/W2092842497","https://openalex.org/W2000762246","https://openalex.org/W2950522345","https://openalex.org/W1982128003","https://openalex.org/W2963462022","https://openalex.org/W2045839197","https://openalex.org/W2344425458","https://openalex.org/W56616060"],"abstract_inverted_index":{"Qubit":[0],"regularization":[1,52,80],"is":[2,22],"a":[3,17,23,35,78,84],"procedure":[4,86],"to":[5,16,28,71,87],"regularize":[6],"the":[7,39,48,64,91,97,105,113,116,132,139,143],"infinite":[8],"dimensional":[9,19],"local":[10],"Hilbert":[11],"space":[12],"of":[13,47,66,104,115,131,142],"bosonic":[14],"fields":[15,43],"finite":[18],"one,":[20],"which":[21],"crucial":[24],"step":[25],"when":[26],"trying":[27],"simulate":[29],"lattice":[30,41,93,99],"quantum":[31,36,42,60,145],"field":[32,146],"theories":[33],"on":[34,58],"computer.":[37],"When":[38],"qubit-regularized":[40],"preserve":[44],"important":[45],"symmetries":[46],"original":[49],"theory,":[50],"qubit":[51,67,79],"naturally":[53],"enforces":[54],"certain":[55],"algebraic":[56,74],"structures":[57],"these":[59],"fields.":[61],"We":[62,82],"introduce":[63],"concept":[65],"embedding":[68],"algebras":[69],"(QEAs)":[70],"characterize":[72],"this":[73],"structure":[75],"associated":[76],"with":[77],"scheme.":[81],"show":[83],"systematic":[85],"derive":[88],"QEAs":[89,106,123,133],"for":[90],"O(N)":[92],"spin":[94],"models":[95],"and":[96],"SU(N)":[98],"gauge":[100],"theories.":[101,147],"While":[102],"some":[103],"we":[107],"find":[108],"were":[109],"discovered":[110],"earlier":[111],"in":[112,137],"context":[114],"D-theory":[117],"approach,":[118],"our":[119],"method":[120],"shows":[121],"that":[122],"are":[124],"far":[125],"richer.":[126],"A":[127],"more":[128],"complete":[129],"understanding":[130],"could":[134],"be":[135],"helpful":[136],"recovering":[138],"fixed":[140],"points":[141],"desired":[144]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
