{"id":"https://openalex.org/W3010321387","doi":null,"title":"Topologically protected Hadamard, phase and Controlled-NOT gates for quantum computation with non-Abelian anyons in the Pfaffian quantum Hall state","display_name":"Topologically protected Hadamard, phase and Controlled-NOT gates for quantum computation with non-Abelian anyons in the Pfaffian quantum Hall state","publication_year":2006,"publication_date":"2006-07-05","ids":{"openalex":"https://openalex.org/W3010321387","mag":"3010321387"},"language":"en","primary_location":{"id":"mag:3010321387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/cond-mat/0607125","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cond-mat/0607125","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062965287","display_name":"Lachezar S. Georgiev","orcid":"https://orcid.org/0000-0001-8661-4297","observed_orcids":["https://orcid.org/0000-0001-8661-4297"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lachezar S. Georgiev","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8661-4297","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5062965287"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.3407999873161316,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.3407999873161316,"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":0.3188000023365021,"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":0.2287999987602234,"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/topological-quantum-computation","display_name":"topological quantum computation","score":0.9599999785423279},{"id":"https://openalex.org/keywords/non-abelian-anyons","display_name":"non-Abelian anyons","score":0.9800000190734863},{"id":"https://openalex.org/keywords/hadamard-gate","display_name":"Hadamard gate","score":0.8389999866485596},{"id":"https://openalex.org/keywords/phase-gate","display_name":"phase gate","score":0.7620000243186951},{"id":"https://openalex.org/keywords/cnot-gate","display_name":"CNOT gate","score":0.8180000185966492},{"id":"https://openalex.org/keywords/toffoli-gate","display_name":"Toffoli gate","score":0.9390000104904175},{"id":"https://openalex.org/keywords/braid-groups","display_name":"braid groups","score":0.7329999804496765},{"id":"https://openalex.org/keywords/universal-quantum-gate-set","display_name":"universal quantum gate set","score":0.6520000100135803}],"concepts":[{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.7779413461685181},{"id":"https://openalex.org/C182953411","wikidata":"https://www.wikidata.org/wiki/Q917713","display_name":"Controlled NOT gate","level":5,"score":0.7378663420677185},{"id":"https://openalex.org/C142465778","wikidata":"https://www.wikidata.org/wiki/Q2502619","display_name":"Toffoli gate","level":5,"score":0.6772326231002808},{"id":"https://openalex.org/C187483380","wikidata":"https://www.wikidata.org/wiki/Q7825042","display_name":"Topological quantum computer","level":3,"score":0.5874039530754089},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5349200367927551},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5325725674629211},{"id":"https://openalex.org/C2775956649","wikidata":"https://www.wikidata.org/wiki/Q1189744","display_name":"Pfaffian","level":2,"score":0.5301621556282043},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5173730254173279},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.5045589208602905},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.48933666944503784},{"id":"https://openalex.org/C200369452","wikidata":"https://www.wikidata.org/wiki/Q1047822","display_name":"Quantum Hall effect","level":3,"score":0.4802663326263428},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4427317976951599},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42624929547309875},{"id":"https://openalex.org/C59500034","wikidata":"https://www.wikidata.org/wiki/Q1464944","display_name":"Quantum Fourier transform","level":5,"score":0.42086851596832275},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3324456214904785},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3023892641067505},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.2593666613101959},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17369654774665833},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17337960004806519},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3010321387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/cond-mat/0607125","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3010321387","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/cond-mat/0607125","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2017582069","https://openalex.org/W2047038565","https://openalex.org/W2080859543","https://openalex.org/W2274527329","https://openalex.org/W4307207317","https://openalex.org/W4384133644","https://openalex.org/W2122843846","https://openalex.org/W3047750183","https://openalex.org/W7112730193","https://openalex.org/W1610962335"],"abstract_inverted_index":{"We":[0,42,107],"extend":[1],"the":[2,8,31,45,68,80,95,115],"topological":[3],"quantum":[4,10,40],"computation":[5],"scheme":[6],"using":[7],"Pfaffian":[9,61],"Hall":[11],"state,":[12],"which":[13,53],"has":[14],"been":[15],"recently":[16],"proposed":[17],"by":[18,75,101],"Das":[19],"Sarma":[20],"et":[21],"al.,":[22],"in":[23,92],"a":[24,36,48,87,102,110],"way":[25],"that":[26],"might":[27],"potentially":[28],"allow":[29],"for":[30,44,67],"topologically":[32,49,88,111],"protected":[33,50,89,112],"construction":[34],"of":[35,39,60,79,94,114],"universal":[37],"set":[38],"gates.":[41],"construct,":[43],"first":[46],"time,":[47],"Controlled-NOT":[51],"gate":[52,82,97,118],"is":[54],"entirely":[55],"based":[56,104],"on":[57],"quasihole":[58,76],"braidings":[59],"qubits.":[62],"All":[63],"single-qubit":[64],"gates,":[65],"except":[66],"pi/8":[69,81],"gate,":[70,91],"are":[71],"also":[72,108],"explicitly":[73],"implemented":[74],"braidings.":[77],"Instead":[78],"we":[83],"try":[84],"to":[85],"construct":[86],"Toffoli":[90],"terms":[93],"Controlled-phase":[96],"and":[98],"CNOT":[99],"or":[100],"braid-group":[103],"Controlled-Controlled-Z":[105],"precursor.":[106],"give":[109],"realization":[113],"Bravyi-Kitaev":[116],"two-qubit":[117],"g_3.":[119]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2020-03-13T00:00:00"}