{"id":"https://openalex.org/W2182476013","doi":null,"title":"Polynomial Quantum algorithms for additive approximations of the Potts model and other points of the Tutte plane Preliminary Version","display_name":"Polynomial Quantum algorithms for additive approximations of the Potts model and other points of the Tutte plane Preliminary Version","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2182476013","mag":"2182476013"},"language":"en","primary_location":{"id":"mag:2182476013","doi":null,"is_oa":false,"landing_page_url":"http://www.cs.huji.ac.il/~elade/files/Tutte.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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","observed_orcids":["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":false,"raw_author_name":"Dorit Aharonov","raw_affiliation_strings":["[Hebrew university of Jerusalem]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Hebrew university of Jerusalem]","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010322438","display_name":"Itai Arad","orcid":"https://orcid.org/0009-0005-5481-6333","observed_orcids":["https://orcid.org/0009-0005-5481-6333"]},"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":false,"raw_author_name":"Itai Arad","raw_affiliation_strings":["[Hebrew university of Jerusalem]"],"raw_orcid":"https://orcid.org/0009-0005-5481-6333","affiliations":[{"raw_affiliation_string":"[Hebrew university of Jerusalem]","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044999818","display_name":"Elad Eban","orcid":null,"observed_orcids":[]},"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":false,"raw_author_name":"Elad Eban","raw_affiliation_strings":["[Hebrew university of Jerusalem]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Hebrew university of Jerusalem]","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088886462","display_name":"Zeph A. Landau","orcid":"https://orcid.org/0009-0009-7316-7585","observed_orcids":["https://orcid.org/0009-0009-7316-7585"]},"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":false,"raw_author_name":"Zeph Landau","raw_affiliation_strings":["[Hebrew university of Jerusalem]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Hebrew university of Jerusalem]","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"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":0.9887999892234802,"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":0.9887999892234802,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.006800000090152025,"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/T11804","display_name":"Quantum many-body systems","score":0.0012000000569969416,"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/tutte-polynomial","display_name":"Tutte polynomial","score":0.8330000042915344},{"id":"https://openalex.org/keywords/potts-model","display_name":"Potts model","score":0.9480000138282776},{"id":"https://openalex.org/keywords/planar-graphs","display_name":"planar graphs","score":0.7319999933242798},{"id":"https://openalex.org/keywords/additive-approximation","display_name":"additive approximation","score":0.9639999866485596},{"id":"https://openalex.org/keywords/temperley-lieb-algebra","display_name":"Temperley-Lieb algebra","score":0.8939999938011169},{"id":"https://openalex.org/keywords/non-unitary-representations","display_name":"non-unitary representations","score":0.9290000200271606},{"id":"https://openalex.org/keywords/partition-function","display_name":"partition function","score":0.7730000019073486}],"concepts":[{"id":"https://openalex.org/C14447369","wikidata":"https://www.wikidata.org/wiki/Q7857002","display_name":"Tutte polynomial","level":5,"score":0.8492842316627502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6694494485855103},{"id":"https://openalex.org/C126385604","wikidata":"https://www.wikidata.org/wiki/Q1087609","display_name":"Chromatic polynomial","level":3,"score":0.6642370820045471},{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.654387354850769},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5003061294555664},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.49622827768325806},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4822021722793579},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47702738642692566},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4664769768714905},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.416599839925766},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3127363920211792},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3047524690628052},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.23070001602172852},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.18193790316581726},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10423538088798523},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2182476013","doi":null,"is_oa":false,"landing_page_url":"http://www.cs.huji.ac.il/~elade/files/Tutte.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1484165462","https://openalex.org/W1488435683","https://openalex.org/W1502669108","https://openalex.org/W1522757610","https://openalex.org/W1530042113","https://openalex.org/W1531965102","https://openalex.org/W1590167836","https://openalex.org/W1594342725","https://openalex.org/W1620946649","https://openalex.org/W1631356911","https://openalex.org/W1661198567","https://openalex.org/W1965036827","https://openalex.org/W1965511886","https://openalex.org/W1991632738","https://openalex.org/W2003582562","https://openalex.org/W2005028755","https://openalex.org/W2007185418","https://openalex.org/W2021838836","https://openalex.org/W2039763834","https://openalex.org/W2052169397","https://openalex.org/W2057004846","https://openalex.org/W2068674173","https://openalex.org/W2084019889","https://openalex.org/W2092272609","https://openalex.org/W2119968904","https://openalex.org/W2122765404","https://openalex.org/W2137459590","https://openalex.org/W2155365991","https://openalex.org/W2159018842","https://openalex.org/W2159793005","https://openalex.org/W2164171842","https://openalex.org/W2164850427","https://openalex.org/W2167050139","https://openalex.org/W2170767514","https://openalex.org/W2171389569","https://openalex.org/W2417515446","https://openalex.org/W2950843936","https://openalex.org/W3015358064"],"related_works":["https://openalex.org/W1632584182","https://openalex.org/W4280521745","https://openalex.org/W7095192178","https://openalex.org/W85898295","https://openalex.org/W2623598361","https://openalex.org/W2093786499","https://openalex.org/W2793605908","https://openalex.org/W2408698893","https://openalex.org/W7020209194","https://openalex.org/W1968794149"],"abstract_inverted_index":{"In":[0,232],"the":[1,16,23,36,40,63,75,104,153,156,159,167,170,177,180,186,214,217,229,233,237,264],"first":[2,119],"part":[3,235],"of":[4,15,35,39,103,155,158,169,179,213,216,236,256],"this":[5,122,138,193],"paper,":[6],"we":[7,73,161,198,207,239],"provide":[8,210,240],"polynomial":[9,112,149],"quantum":[10,131],"algorithms":[11],"for":[12,26,43,85,228,252],"additive":[13,33],"approximations":[14,54,164],"Tutte":[17,24,67],"polynomial,":[18],"at":[19,48,118],"any":[20,27,44,49,86],"point":[21],"in":[22,81,150,183,261],"plane,":[25],"planar":[28],"graph.":[29],"This":[30],"includes":[31],"an":[32,211,241],"approximation":[34,141,181,249],"partition":[37],"function":[38],"Potts":[41],"model":[42],"weighted":[45],"planer":[46],"graph":[47,59,87],"temperature,":[50],"as":[51,53,99],"well":[52],"to":[55,83,110,126,136,146,200,209],"many":[56],"other":[57],"combinatorial":[58],"properties":[60],"described":[61],"by":[62,129,258],"(multivariate":[64],"or":[65],"not)":[66],"polynomial.":[68],"To":[69],"achieve":[70],"these":[71],"algorithms,":[72],"generalize":[74],"Temperley":[76,105],"Lieb":[77,106],"algebra":[78,107],"representations,":[79],"used":[80],"[6],":[82],"apply":[84,127],"(not":[88],"necessarily":[89],"coming":[90],"from":[91],"a":[92,130,204,253],"braid).":[93],"Moreover,":[94],"our":[95,203,248],"representations":[96,102],"are":[97,100,165,205],"non-unitary,":[98],"all":[101],"not":[108],"corresponding":[109],"Jones":[111],"related":[113],"parameters.":[114],"It":[115],"might":[116,173],"seem":[117],"sight":[120],"that":[121,202,247,260],"makes":[123],"it":[124],"impossible":[125],"them":[128],"circuit.":[132],"We":[133],"show":[134],"how":[135],"do":[137],"nevertheless.":[139],"The":[140],"window":[142],"size":[143,178],"turns":[144],"out":[145,192],"be":[147,174],"inverse":[148],"|G|":[151],"times":[152],"product":[154],"norms":[157],"operators":[160],"apply.":[162],"Additive":[163],"tricky;":[166],"range":[168,255],"possible":[171],"outcomes,":[172],"smaller":[175],"than":[176],"window,":[182],"which":[184,219],"case":[185],"outcome":[187],"is":[188,195,220,250],"meaningless.":[189],"Unfortunately,":[190],"ruling":[191],"possibility":[194],"difficult:":[196],"If":[197],"want":[199],"argue":[201],"meaningful,":[206],"have":[208],"estimate":[212],"scale":[215],"problem,":[218],"difficult":[221],"here":[222],"exactly":[223],"because":[224],"no":[225],"efficient":[226],"algorithm":[227],"problem":[230],"exists!":[231],"second":[234],"paper":[238],"indirect":[242],"but":[243],"very":[244],"convincing":[245],"proof":[246],"meaningful":[251],"large":[254],"parameters,":[257],"showing":[259],"those":[262],"cases,":[263],"problems":[265]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}