{"id":"https://openalex.org/W2069525126","doi":"https://doi.org/10.1007/s00453-008-9168-0","title":"A Polynomial Quantum Algorithm for Approximating the Jones Polynomial","display_name":"A Polynomial Quantum Algorithm for Approximating the Jones Polynomial","publication_year":2008,"publication_date":"2008-03-18","ids":{"openalex":"https://openalex.org/W2069525126","doi":"https://doi.org/10.1007/s00453-008-9168-0","mag":"2069525126"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-008-9168-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-008-9168-0","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005794608","display_name":"Dorit Aharonov","orcid":"https://orcid.org/0000-0002-9378-8495"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Dorit Aharonov","raw_affiliation_strings":["School of Computer Science and Engineering, The Hebrew University, Jerusalem, Israel","The Hebrew University, School of Computer Science and Engineering, Jerusalem, Israel#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, The Hebrew University, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"The Hebrew University, School of Computer Science and Engineering, Jerusalem, Israel#TAB#","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026491336","display_name":"Vaughan F. R. Jones","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vaughan Jones","raw_affiliation_strings":["Department of Mathematics, U.C. Berkeley, Berkeley, CA, USA","U.C. Berkeley, Department of Mathematics, Berkeley, CA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, U.C. Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"U.C. Berkeley, Department of Mathematics, Berkeley, CA, USA#TAB#","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088886462","display_name":"Zeph Landau","orcid":null},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zeph Landau","raw_affiliation_strings":["Department of Mathematics, The City College of New York, New York, NY, USA","The City College of New York, Department of Mathematics, New York, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The City College of New York, New York, NY, USA","institution_ids":["https://openalex.org/I125687163"]},{"raw_affiliation_string":"The City College of New York, Department of Mathematics, New York, NY, USA#TAB#","institution_ids":["https://openalex.org/I125687163"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005794608"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":18.2084,"has_fulltext":false,"cited_by_count":279,"citation_normalized_percentile":{"value":0.99514547,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"55","issue":"3","first_page":"395","last_page":"421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-quantum-field-theory","display_name":"Topological quantum field theory","score":0.7590416073799133},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6717530488967896},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.53016597032547},{"id":"https://openalex.org/keywords/braid-group","display_name":"Braid group","score":0.5168795585632324},{"id":"https://openalex.org/keywords/root-of-unity","display_name":"Root of unity","score":0.5134566426277161},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5046545267105103},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.5042747259140015},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.43764254450798035},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4294186234474182},{"id":"https://openalex.org/keywords/bracket-polynomial","display_name":"Bracket polynomial","score":0.42323383688926697},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.39575889706611633},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3941563367843628},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32173776626586914},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20677092671394348},{"id":"https://openalex.org/keywords/square-free-polynomial","display_name":"Square-free polynomial","score":0.17178115248680115},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.13442468643188477}],"concepts":[{"id":"https://openalex.org/C7503960","wikidata":"https://www.wikidata.org/wiki/Q721094","display_name":"Topological quantum field theory","level":2,"score":0.7590416073799133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6717530488967896},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.53016597032547},{"id":"https://openalex.org/C33840335","wikidata":"https://www.wikidata.org/wiki/Q220409","display_name":"Braid group","level":2,"score":0.5168795585632324},{"id":"https://openalex.org/C206343339","wikidata":"https://www.wikidata.org/wiki/Q756747","display_name":"Root of unity","level":3,"score":0.5134566426277161},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5046545267105103},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5042747259140015},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.43764254450798035},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4294186234474182},{"id":"https://openalex.org/C52007518","wikidata":"https://www.wikidata.org/wiki/Q4953698","display_name":"Bracket polynomial","level":5,"score":0.42323383688926697},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.39575889706611633},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3941563367843628},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32173776626586914},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20677092671394348},{"id":"https://openalex.org/C101525915","wikidata":"https://www.wikidata.org/wiki/Q7581979","display_name":"Square-free polynomial","level":4,"score":0.17178115248680115},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.13442468643188477},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00453-008-9168-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-008-9168-0","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.252.5589","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.5589","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/quant-ph/0511096v2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.253.1","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.253.1","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/quant-ph/0511096v1.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:905763","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/905763","pdf_url":null,"source":{"id":"https://openalex.org/S4306402194","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,"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":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1495116500","https://openalex.org/W1566547745","https://openalex.org/W1566813609","https://openalex.org/W1605715226","https://openalex.org/W1616071251","https://openalex.org/W1631356911","https://openalex.org/W1632226299","https://openalex.org/W1632584182","https://openalex.org/W1967088292","https://openalex.org/W1982027240","https://openalex.org/W1986188777","https://openalex.org/W1991632738","https://openalex.org/W2000368413","https://openalex.org/W2005028755","https://openalex.org/W2007185418","https://openalex.org/W2009948449","https://openalex.org/W2015411876","https://openalex.org/W2031470792","https://openalex.org/W2039763834","https://openalex.org/W2057065544","https://openalex.org/W2066153786","https://openalex.org/W2091401729","https://openalex.org/W2091919572","https://openalex.org/W2119968904","https://openalex.org/W2137459590","https://openalex.org/W2159723902","https://openalex.org/W2164171842","https://openalex.org/W2167050139","https://openalex.org/W2170767514","https://openalex.org/W2327745271","https://openalex.org/W2601750282","https://openalex.org/W2764347725","https://openalex.org/W2949110438","https://openalex.org/W2952958375","https://openalex.org/W2962956712","https://openalex.org/W3023478445","https://openalex.org/W3111297213","https://openalex.org/W4233432566","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1592333403","https://openalex.org/W4301140143","https://openalex.org/W2950681094","https://openalex.org/W2950481308","https://openalex.org/W1664380548","https://openalex.org/W2949730037","https://openalex.org/W4234033887","https://openalex.org/W2005587278","https://openalex.org/W4298085198","https://openalex.org/W2890221378"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":87},{"year":2022,"cited_by_count":25},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}