{"id":"https://openalex.org/W17736847","doi":null,"title":"Quantum universality by distilling certain one- and two-qubit states with stabilizer operations","display_name":"Quantum universality by distilling certain one- and two-qubit states with stabilizer operations","publication_year":2006,"publication_date":"2006-08-09","ids":{"openalex":"https://openalex.org/W17736847","mag":"17736847"},"language":"en","primary_location":{"id":"mag:17736847","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0608085v1","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","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/abs/quant-ph/0608085v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065994445","display_name":"Ben W. Reichardt","orcid":"https://orcid.org/0000-0002-4934-8732","observed_orcids":["https://orcid.org/0000-0002-4934-8732"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ben W. Reichardt","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4934-8732","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5065994445"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":12,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9897000193595886,"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":0.9897000193595886,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.008799999952316284,"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":0.0006000000284984708,"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/quantum-fault-tolerance","display_name":"quantum fault tolerance","score":0.6710000038146973},{"id":"https://openalex.org/keywords/fault-tolerance-threshold","display_name":"fault tolerance threshold","score":0.6880000233650208},{"id":"https://openalex.org/keywords/gottesman-knill-theorem","display_name":"Gottesman-Knill theorem","score":0.9850000143051147},{"id":"https://openalex.org/keywords/post-selection","display_name":"post-selection","score":0.6890000104904175},{"id":"https://openalex.org/keywords/mixed-states","display_name":"mixed states","score":0.6600000262260437},{"id":"https://openalex.org/keywords/two-qubit-states","display_name":"two-qubit states","score":0.996999979019165}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.7934862375259399},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.6151275634765625},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5560794472694397},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5017282962799072},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.486637681722641},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46724772453308105},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3976624608039856},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.366036981344223},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33683788776397705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30295330286026},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.176398366689682},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06267726421356201}],"mesh":[],"locations_count":2,"locations":[{"id":"mag:17736847","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0608085v1","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},{"id":"pmh:oai:cds.cern.ch:977682","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/977682","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"mag:17736847","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0608085v1","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W68066231","https://openalex.org/W1545271014","https://openalex.org/W1547035555","https://openalex.org/W1631356911","https://openalex.org/W1656594904","https://openalex.org/W1679863022","https://openalex.org/W1969246646","https://openalex.org/W2005170092","https://openalex.org/W2006351171","https://openalex.org/W2023747038","https://openalex.org/W2032147770","https://openalex.org/W2035757233","https://openalex.org/W2052146120","https://openalex.org/W2079152399","https://openalex.org/W2079294297","https://openalex.org/W2090829264","https://openalex.org/W2094347113","https://openalex.org/W2102008187","https://openalex.org/W2137373135","https://openalex.org/W2159673235","https://openalex.org/W2159862444","https://openalex.org/W2160212841","https://openalex.org/W2585536869","https://openalex.org/W2950857050","https://openalex.org/W3099972812","https://openalex.org/W3104100960"],"related_works":["https://openalex.org/W4290102522","https://openalex.org/W1656594904","https://openalex.org/W2011867118","https://openalex.org/W4210694755","https://openalex.org/W7172022371","https://openalex.org/W2302021122","https://openalex.org/W2963322582","https://openalex.org/W7124739290","https://openalex.org/W2026989800","https://openalex.org/W1969246646"],"abstract_inverted_index":{"Quantum":[0],"universality":[1],"can":[2],"be":[3],"achieved":[4],"using":[5,36],"stabilizer":[6,54,61,72],"operations":[7],"and":[8],"repeated":[9],"preparation":[10],"of":[11,25,53,71,77],"certain":[12],"ancilla":[13,16],"states.":[14,73],"Which":[15],"states":[17,28],"suffice":[18],"for":[19,57],"universality?":[20],"We":[21],"extend":[22],"the":[23,96],"range":[24],"single-qubit":[26],"mixed":[27,46],"which":[29,48,58],"are":[30,99],"known":[31],"to":[32,66,81],"give":[33],"universality,":[34],"by":[35],"a":[37,44,51,69],"simple":[38],"parity-checking":[39],"operation.":[40],"Additionally,":[41],"we":[42],"display":[43],"two-qubit":[45],"state":[47],"is":[49,80],"not":[50],"mixture":[52,70],"states,":[55],"but":[56],"every":[59],"postselected":[60],"reduction":[62],"from":[63],"two":[64],"qubits":[65],"one":[67],"outputs":[68],"The":[74],"main":[75],"application":[76],"these":[78],"techniques":[79],"quantum":[82],"fault":[83],"tolerance.":[84],"Our":[85],"results":[86],"imply":[87],"that":[88],"recent":[89],"fault-tolerance":[90],"threshold":[91],"upper":[92],"bounds":[93],"based":[94],"on":[95],"Gottesman-Knill":[97],"theorem":[98],"tight.":[100]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}