{"id":"https://openalex.org/W2021261832","doi":"https://doi.org/10.1016/j.entcs.2011.01.032","title":"Universal Quantum Computation with Abelian Anyon Models","display_name":"Universal Quantum Computation with Abelian Anyon Models","publication_year":2011,"publication_date":"2011-02-01","ids":{"openalex":"https://openalex.org/W2021261832","doi":"https://doi.org/10.1016/j.entcs.2011.01.032","mag":"2021261832"},"language":"en","primary_location":{"id":"doi:10.1016/j.entcs.2011.01.032","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.entcs.2011.01.032","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/j.entcs.2011.01.032","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061627219","display_name":"James R. Wootton","orcid":"https://orcid.org/0000-0003-1943-5306"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"James R. Wootton","raw_affiliation_strings":["School of Physics and Astronomy, University of Leeds, Leeds, UK","School of Physics & Astronomy, University of Leeds, Leeds, UK"],"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"School of Physics & Astronomy, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062105931","display_name":"Jiannis K. Pachos","orcid":"https://orcid.org/0000-0002-9775-4436"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jiannis K. Pachos","raw_affiliation_strings":["School of Physics and Astronomy, University of Leeds, Leeds, UK","School of Physics & Astronomy, University of Leeds, Leeds, UK"],"affiliations":[{"raw_affiliation_string":"School of Physics and Astronomy, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"School of Physics & Astronomy, University of Leeds, Leeds, UK","institution_ids":["https://openalex.org/I130828816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061627219","https://openalex.org/A5062105931"],"corresponding_institution_ids":["https://openalex.org/I130828816"],"apc_list":null,"apc_paid":null,"fwci":0.4464,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72637045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"270","issue":"2","first_page":"209","last_page":"218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9972000122070312,"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":0.9972000122070312,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.996399998664856,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.9958999752998352,"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/anyon","display_name":"Anyon","score":0.8781461715698242},{"id":"https://openalex.org/keywords/topological-quantum-computer","display_name":"Topological quantum computer","score":0.8222894668579102},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6833311319351196},{"id":"https://openalex.org/keywords/topological-entropy-in-physics","display_name":"Topological entropy in physics","score":0.5460205078125},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5393505096435547},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.5370579957962036},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.49936842918395996},{"id":"https://openalex.org/keywords/toric-code","display_name":"Toric code","score":0.47995784878730774},{"id":"https://openalex.org/keywords/topological-order","display_name":"Topological order","score":0.4707995653152466},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.44003215432167053},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.43261224031448364},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4191693365573883},{"id":"https://openalex.org/keywords/topological-quantum-number","display_name":"Topological quantum number","score":0.34482383728027344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32653942704200745},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3206147849559784},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.26107972860336304},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09406182169914246},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08287504315376282}],"concepts":[{"id":"https://openalex.org/C2777446375","wikidata":"https://www.wikidata.org/wiki/Q5528","display_name":"Anyon","level":4,"score":0.8781461715698242},{"id":"https://openalex.org/C187483380","wikidata":"https://www.wikidata.org/wiki/Q7825042","display_name":"Topological quantum computer","level":3,"score":0.8222894668579102},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6833311319351196},{"id":"https://openalex.org/C148908050","wikidata":"https://www.wikidata.org/wiki/Q11681505","display_name":"Topological entropy in physics","level":3,"score":0.5460205078125},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5393505096435547},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5370579957962036},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49936842918395996},{"id":"https://openalex.org/C84883863","wikidata":"https://www.wikidata.org/wiki/Q7825777","display_name":"Toric code","level":4,"score":0.47995784878730774},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.4707995653152466},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44003215432167053},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.43261224031448364},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4191693365573883},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.34482383728027344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32653942704200745},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3206147849559784},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26107972860336304},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09406182169914246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08287504315376282}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.entcs.2011.01.032","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.entcs.2011.01.032","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.entcs.2011.01.032","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.entcs.2011.01.032","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1509859452","https://openalex.org/W1535125923","https://openalex.org/W1610962335","https://openalex.org/W1625326841","https://openalex.org/W1967904928","https://openalex.org/W1974475341","https://openalex.org/W1977557377","https://openalex.org/W1979278498","https://openalex.org/W1981623649","https://openalex.org/W1990910798","https://openalex.org/W1995655451","https://openalex.org/W2044898822","https://openalex.org/W2045108970","https://openalex.org/W2060581750","https://openalex.org/W2069711632","https://openalex.org/W2069855057","https://openalex.org/W2077485894","https://openalex.org/W2088636071","https://openalex.org/W2097230271","https://openalex.org/W2102312357","https://openalex.org/W2119388976","https://openalex.org/W2135273380","https://openalex.org/W2138173932","https://openalex.org/W2143199603","https://openalex.org/W2147362196","https://openalex.org/W2170144687","https://openalex.org/W2951133781","https://openalex.org/W2963003713","https://openalex.org/W2963288994","https://openalex.org/W2997416708","https://openalex.org/W3099424267","https://openalex.org/W3100736866","https://openalex.org/W3101634061","https://openalex.org/W6685273742"],"related_works":["https://openalex.org/W1979591111","https://openalex.org/W3102900903","https://openalex.org/W4308668677","https://openalex.org/W3100569793","https://openalex.org/W4226109982","https://openalex.org/W2915553351","https://openalex.org/W3021361893","https://openalex.org/W4367189779","https://openalex.org/W2507686289","https://openalex.org/W1596613887"],"abstract_inverted_index":{"We":[0],"consider":[1],"topological":[2,26,57],"quantum":[3,21,52],"memories":[4],"for":[5,20],"a":[6],"general":[7],"class":[8],"of":[9,36],"abelian":[10,68],"anyon":[11],"models":[12,69],"defined":[13],"on":[14],"spin":[15,42],"lattices.":[16],"These":[17,46],"are":[18,44,47],"non-universal":[19],"computation":[22],"when":[23],"restricting":[24],"to":[25,49],"operations":[27],"alone,":[28],"such":[29,40],"as":[30,41],"braiding":[31],"and":[32,70],"fusion.":[33],"The":[34],"effects":[35],"additional":[37],"non-topological":[38],"operations,":[39],"measurements,":[43],"studied.":[45],"shown":[48],"allow":[50],"universal":[51],"computation,":[53],"while":[54],"still":[55],"utilizing":[56],"protection.":[58],"Our":[59],"work":[60],"gives":[61],"an":[62],"insight":[63],"into":[64],"the":[65],"relation":[66],"between":[67],"their":[71],"non-abelian":[72],"counterparts.":[73]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
