{"id":"https://openalex.org/W4402597351","doi":"https://doi.org/10.22331/q-2026-04-29-2089","title":"Regular language quantum states","display_name":"Regular language quantum states","publication_year":2026,"publication_date":"2026-04-29","ids":{"openalex":"https://openalex.org/W4402597351","doi":"https://doi.org/10.22331/q-2026-04-29-2089"},"language":"en","primary_location":{"id":"doi:10.22331/q-2026-04-29-2089","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2026-04-29-2089","pdf_url":null,"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":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.22331/q-2026-04-29-2089","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5095767099","display_name":"Marta Florido-Llin\u00e0s","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"]},{"id":"https://openalex.org/I4210142743","display_name":"Munich Center for Quantum Science and Technology","ror":"https://ror.org/04xrcta15","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210142743","https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marta Florido-Llin\u00e0s","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany","Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany","institution_ids":["https://openalex.org/I4210120293"]},{"raw_affiliation_string":"Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I4210142743"]}]},{"author_position":"middle","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/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["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"],"raw_orcid":null,"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037099975","display_name":"David P\u00e9rez-Garc\u0131\u0301a","orcid":"https://orcid.org/0000-0003-2990-791X"},"institutions":[{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"David P\u00e9rez-Garc\u00eda","raw_affiliation_strings":["Departamento de An\u00e1lisis Matem\u00e1tico, Universidad Complutense de Madrid, 28040 Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de An\u00e1lisis Matem\u00e1tico, Universidad Complutense de Madrid, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]}]},{"author_position":"last","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"]},{"id":"https://openalex.org/I4210142743","display_name":"Munich Center for Quantum Science and Technology","ror":"https://ror.org/04xrcta15","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210142743","https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Ignacio Cirac","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany","Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany","institution_ids":["https://openalex.org/I4210120293"]},{"raw_affiliation_string":"Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I4210142743"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":6.7878,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.92735724,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"10","issue":null,"first_page":"2089","last_page":"2089"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.5981000065803528,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.5981000065803528,"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/quantum","display_name":"Quantum","score":0.45690858364105225},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3419189155101776},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3237612247467041},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.32230037450790405},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.27544593811035156}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.45690858364105225},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3419189155101776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3237612247467041},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.32230037450790405},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27544593811035156}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2026-04-29-2089","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2026-04-29-2089","pdf_url":null,"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:arXiv.org:2407.17641","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2407.17641","pdf_url":"https://arxiv.org/pdf/2407.17641","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,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.mpg.de:item_3619093","is_oa":true,"landing_page_url":"https://hdl.handle.net/21.11116/0000-0010-0282-8","pdf_url":"https://hdl.handle.net/21.11116/0000-0010-0284-6","source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:4ed21b0972264119a189547c2dea3858","is_oa":true,"landing_page_url":"https://doaj.org/article/4ed21b0972264119a189547c2dea3858","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 10, p 2089 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2407.17641","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2407.17641","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,"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:10.22331/q-2026-04-29-2089","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2026-04-29-2089","pdf_url":null,"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036"],"abstract_inverted_index":{"We":[0,92,118],"introduce":[1],"regular":[2,47,66,110,134],"language":[3,48,111],"states,":[4,85,112],"a":[5,15,46,70,95,103],"family":[6],"of":[7,18,31,41,65,82,109,123],"quantum":[8],"many-body":[9],"states.":[10],"They":[11,34],"are":[12,136],"built":[13],"from":[14],"special":[16],"class":[17],"formal":[19],"languages,":[20,67],"called":[21],"regular,":[22],"which":[23,98],"has":[24],"been":[25],"thoroughly":[26],"studied":[27],"in":[28,45,80],"the":[29,39,43,56,63,107,121],"field":[30],"computer":[32],"science.":[33],"can":[35],"be":[36],"understood":[37],"as":[38,55],"superposition":[40],"all":[42],"words":[44],"and":[49],"encompass":[50],"physically":[51],"relevant":[52],"states":[53],"such":[54],"GHZ-,":[57],"W-":[58],"or":[59],"Dicke-states.":[60],"By":[61],"leveraging":[62],"theory":[64,122],"we":[68,77],"develop":[69,94],"theoretical":[71],"framework":[72],"to":[73,89,101,126,131],"describe":[74],"them.":[75,91],"First,":[76],"express":[78],"them":[79],"terms":[81],"matrix":[83],"product":[84],"providing":[86],"efficient":[87,129],"criteria":[88],"recognize":[90],"then":[93],"canonical":[96],"form":[97],"allows":[99],"us":[100],"formulate":[102],"fundamental":[104],"theorem":[105],"for":[106],"equivalence":[108],"including":[113],"under":[114],"local":[115],"unitary":[116],"operations.":[117],"also":[119],"exploit":[120],"tensor":[124],"networks":[125],"find":[127],"an":[128],"criterion":[130],"determine":[132],"when":[133],"languages":[135],"shift-invariant.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2024-09-19T00:00:00"}
