{"id":"https://openalex.org/W4416025978","doi":"https://doi.org/10.1103/99sy-kggw","title":"Quantum doubles in symmetric blockade structures","display_name":"Quantum doubles in symmetric blockade structures","publication_year":2026,"publication_date":"2026-06-12","ids":{"openalex":"https://openalex.org/W4416025978","doi":"https://doi.org/10.1103/99sy-kggw"},"language":"en","primary_location":{"id":"doi:10.1103/99sy-kggw","doi":"https://doi.org/10.1103/99sy-kggw","is_oa":true,"landing_page_url":"https://doi.org/10.1103/99sy-kggw","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://doi.org/10.1103/99sy-kggw","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008317735","display_name":"Hans Peter B\u00fcchler","orcid":"https://orcid.org/0000-0002-7233-6828","observed_orcids":["https://orcid.org/0000-0002-7233-6828"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I4210113675","display_name":"Center for Integrated Quantum Science and Technology","ror":"https://ror.org/01z25am55","country_code":"DE","type":"facility","lineage":["https://openalex.org/I100066346","https://openalex.org/I149899117","https://openalex.org/I196349391","https://openalex.org/I4210088365","https://openalex.org/I4210113675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans Peter B\u00fcchler","raw_affiliation_strings":["Center for Integrated Quantum Science and Technology","University of Stuttgart"],"raw_orcid":"https://orcid.org/0000-0002-7233-6828","affiliations":[{"raw_affiliation_string":"Center for Integrated Quantum Science and Technology","institution_ids":["https://openalex.org/I4210113675"]},{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Tobias F. Maier","orcid":"https://orcid.org/0009-0009-2624-4138","observed_orcids":["https://orcid.org/0009-0009-2624-4138"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I4210113675","display_name":"Center for Integrated Quantum Science and Technology","ror":"https://ror.org/01z25am55","country_code":"DE","type":"facility","lineage":["https://openalex.org/I100066346","https://openalex.org/I149899117","https://openalex.org/I196349391","https://openalex.org/I4210088365","https://openalex.org/I4210113675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias F. Maier","raw_affiliation_strings":["Center for Integrated Quantum Science and Technology","University of Stuttgart"],"raw_orcid":"https://orcid.org/0009-0009-2624-4138","affiliations":[{"raw_affiliation_string":"Center for Integrated Quantum Science and Technology","institution_ids":["https://openalex.org/I4210113675"]},{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120305473","display_name":"Simon Fell","orcid":"https://orcid.org/0009-0002-3089-3199","observed_orcids":["https://orcid.org/0009-0002-3089-3199"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I4210113675","display_name":"Center for Integrated Quantum Science and Technology","ror":"https://ror.org/01z25am55","country_code":"DE","type":"facility","lineage":["https://openalex.org/I100066346","https://openalex.org/I149899117","https://openalex.org/I196349391","https://openalex.org/I4210088365","https://openalex.org/I4210113675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Simon Fell","raw_affiliation_strings":["Center for Integrated Quantum Science and Technology","University of Stuttgart"],"raw_orcid":"https://orcid.org/0009-0002-3089-3199","affiliations":[{"raw_affiliation_string":"Center for Integrated Quantum Science and Technology","institution_ids":["https://openalex.org/I4210113675"]},{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024879236","display_name":"Nicolai Lang","orcid":"https://orcid.org/0000-0003-1477-8625","observed_orcids":["https://orcid.org/0000-0003-1477-8625"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]},{"id":"https://openalex.org/I4210113675","display_name":"Center for Integrated Quantum Science and Technology","ror":"https://ror.org/01z25am55","country_code":"DE","type":"facility","lineage":["https://openalex.org/I100066346","https://openalex.org/I149899117","https://openalex.org/I196349391","https://openalex.org/I4210088365","https://openalex.org/I4210113675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nicolai Lang","raw_affiliation_strings":["Center for Integrated Quantum Science and Technology","University of Stuttgart"],"raw_orcid":"https://orcid.org/0000-0003-1477-8625","affiliations":[{"raw_affiliation_string":"Center for Integrated Quantum Science and Technology","institution_ids":["https://openalex.org/I4210113675"]},{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0187905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"6","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":0.9589999914169312,"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":0.9589999914169312,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.014800000004470348,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.005799999926239252,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/quantum-double","display_name":"quantum double","score":0.8920000195503235},{"id":"https://openalex.org/keywords/topological-order","display_name":"topological order","score":0.8899999856948853},{"id":"https://openalex.org/keywords/non-abelian-anyons","display_name":"non-Abelian anyons","score":0.9940000176429749},{"id":"https://openalex.org/keywords/rydberg-atoms","display_name":"Rydberg atoms","score":0.8560000061988831},{"id":"https://openalex.org/keywords/hamiltonian-design","display_name":"Hamiltonian design","score":0.8320000171661377},{"id":"https://openalex.org/keywords/non-abelian-statistics","display_name":"non-Abelian statistics","score":0.9190000295639038},{"id":"https://openalex.org/keywords/exactly-solvable-models","display_name":"exactly solvable models","score":0.6710000038146973},{"id":"https://openalex.org/keywords/ground-state-preparation","display_name":"ground state preparation","score":0.4309999942779541}],"concepts":[{"id":"https://openalex.org/C187483380","wikidata":"https://www.wikidata.org/wiki/Q7825042","display_name":"Topological quantum computer","level":3,"score":0.7390000224113464},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6244999766349792},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5845000147819519},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5842000246047974},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.4790000021457672},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45100000500679016},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4169999957084656},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4043999910354614},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.39489999413490295},{"id":"https://openalex.org/C192353077","wikidata":"https://www.wikidata.org/wiki/Q4682635","display_name":"Adiabatic quantum computation","level":4,"score":0.38269999623298645},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.35339999198913574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3490000069141388},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3425000011920929},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3384999930858612},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C2777446375","wikidata":"https://www.wikidata.org/wiki/Q5528","display_name":"Anyon","level":4,"score":0.3264000117778778},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.3246000111103058},{"id":"https://openalex.org/C116225407","wikidata":"https://www.wikidata.org/wiki/Q2178236","display_name":"Rydberg atom","level":5,"score":0.3244999945163727},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.31040000915527344},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.2872999906539917},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.28540000319480896},{"id":"https://openalex.org/C70747811","wikidata":"https://www.wikidata.org/wiki/Q661248","display_name":"Rydberg formula","level":4,"score":0.2847999930381775},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.27129998803138733},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.26330000162124634},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.26159998774528503},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/99sy-kggw","doi":"https://doi.org/10.1103/99sy-kggw","is_oa":true,"landing_page_url":"https://doi.org/10.1103/99sy-kggw","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2511.04414","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.04414","pdf_url":"https://arxiv.org/pdf/2511.04414","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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2511.04414","doi":"https://doi.org/10.48550/arxiv.2511.04414","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.04414","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":"Preprint"}],"best_oa_location":{"id":"doi:10.1103/99sy-kggw","doi":"https://doi.org/10.1103/99sy-kggw","is_oa":true,"landing_page_url":"https://doi.org/10.1103/99sy-kggw","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416025978.pdf","grobid_xml":"https://content.openalex.org/works/W4416025978.grobid-xml"},"referenced_works_count":77,"referenced_works":["https://openalex.org/W1513139303","https://openalex.org/W1516237134","https://openalex.org/W1521266393","https://openalex.org/W1567560680","https://openalex.org/W1749722592","https://openalex.org/W1864879456","https://openalex.org/W1976341577","https://openalex.org/W1980496924","https://openalex.org/W1984021697","https://openalex.org/W1985719526","https://openalex.org/W1986517262","https://openalex.org/W1993026778","https://openalex.org/W1993316773","https://openalex.org/W1998857670","https://openalex.org/W2003341284","https://openalex.org/W2006654930","https://openalex.org/W2009911686","https://openalex.org/W2013679555","https://openalex.org/W2013754283","https://openalex.org/W2014586701","https://openalex.org/W2019024022","https://openalex.org/W2029317558","https://openalex.org/W2031207338","https://openalex.org/W2036766789","https://openalex.org/W2043452671","https://openalex.org/W2045108970","https://openalex.org/W2046439097","https://openalex.org/W2053004469","https://openalex.org/W2055424520","https://openalex.org/W2063572899","https://openalex.org/W2069609973","https://openalex.org/W2073598303","https://openalex.org/W2077485894","https://openalex.org/W2092789006","https://openalex.org/W2094872150","https://openalex.org/W2113666471","https://openalex.org/W2128278093","https://openalex.org/W2135273380","https://openalex.org/W2135902788","https://openalex.org/W2141708961","https://openalex.org/W2152240519","https://openalex.org/W2158000927","https://openalex.org/W2172949211","https://openalex.org/W2174568001","https://openalex.org/W2534191796","https://openalex.org/W2552781946","https://openalex.org/W2595050667","https://openalex.org/W2735457220","https://openalex.org/W2753502842","https://openalex.org/W2775135308","https://openalex.org/W2889426946","https://openalex.org/W2949110438","https://openalex.org/W2965988389","https://openalex.org/W2966018830","https://openalex.org/W2999064855","https://openalex.org/W3002420108","https://openalex.org/W3007390772","https://openalex.org/W3015696517","https://openalex.org/W3022271612","https://openalex.org/W3082801304","https://openalex.org/W3099451552","https://openalex.org/W3108946329","https://openalex.org/W3117010896","https://openalex.org/W3193692058","https://openalex.org/W3216297445","https://openalex.org/W4225679052","https://openalex.org/W4256634823","https://openalex.org/W4283806959","https://openalex.org/W4320724826","https://openalex.org/W4386073805","https://openalex.org/W4386169384","https://openalex.org/W4389764289","https://openalex.org/W4393202274","https://openalex.org/W4396692690","https://openalex.org/W4406385641","https://openalex.org/W4411088209","https://openalex.org/W4412081410"],"related_works":["https://openalex.org/W4399363477","https://openalex.org/W2138173932","https://openalex.org/W4386601408","https://openalex.org/W1937339340","https://openalex.org/W4417517790","https://openalex.org/W7215035069","https://openalex.org/W4416186909","https://openalex.org/W2594014340","https://openalex.org/W1951722173","https://openalex.org/W4412081410"],"abstract_inverted_index":{"Exactly":[0],"solvable":[1],"models":[2],"of":[3,25,46,60,94,118],"topologically":[4],"ordered":[5],"phases":[6],"with":[7,41],"non-Abelian":[8,85,124,151],"anyons":[9],"typically":[10],"require":[11],"complicated":[12],"many-body":[13,27],"interactions":[14],"that":[15,35,79,121],"do":[16],"not":[17],"arise":[18],"naturally.":[19],"This":[20],"motivates":[21],"the":[22,92,98,114,149],"\u201cinverse":[23],"problem\u201d":[24],"quantum":[26,86,133,152],"physics:":[28],"How":[29],"to":[30,105,132],"design":[31],"a":[32,37,42,67],"microscopic":[33],"Hamiltonian":[34],"realizes":[36],"desired":[38],"topological":[39,81,95],"phase":[40],"given,":[43],"restricted":[44],"type":[45],"two-body":[47],"interactions?":[48],"Here,":[49],"we":[50,76],"address":[51],"this":[52,74],"problem":[53],"for":[54,113,139,148],"systems":[55],"where":[56],"elementary":[57],"two-level":[58],"degrees":[59],"freedom":[61],"couple":[62],"via":[63],"simple":[64],"blockade":[65],"interactions,":[66],"platform":[68],"motivated":[69],"by":[70,84],"Rydberg":[71],"atoms.":[72],"Within":[73],"framework,":[75],"construct":[77],"Hamiltonians":[78],"realize":[80],"orders":[82],"described":[83],"double":[87,153],"models.":[88],"We":[89,109,145],"analytically":[90],"prove":[91],"existence":[93],"order":[96],"in":[97],"ground":[99],"states":[100],"and":[101,130],"present":[102],"efficient":[103],"schemes":[104],"prepare":[106],"these":[107],"states.":[108],"also":[110],"introduce":[111],"protocols":[112],"controlled":[115],"adiabatic":[116],"braiding":[117,147],"anyonic":[119],"excitations":[120],"probe":[122],"their":[123],"statistics.":[125],"Our":[126],"construction":[127],"is":[128],"generic":[129],"applies":[131],"doubles":[134],"D":[135,154],"(":[136,155],"G":[137,143],")":[138,158],"arbitrary":[140],"finite":[141],"groups":[142],".":[144,159],"illustrate":[146],"simplest":[150],"S":[156],"3":[157]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2025-11-08T00:00:00"}
