{"id":"https://openalex.org/W2066651691","doi":"https://doi.org/10.1145/1250790.1250874","title":"Search via quantum walk","display_name":"Search via quantum walk","publication_year":2007,"publication_date":"2007-06-11","ids":{"openalex":"https://openalex.org/W2066651691","doi":"https://doi.org/10.1145/1250790.1250874","mag":"2066651691"},"language":"en","primary_location":{"id":"doi:10.1145/1250790.1250874","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1250790.1250874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the thirty-ninth annual ACM symposium on Theory of computing","raw_type":"proceedings-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/A5045780938","display_name":"Fr\u00e9d\u00e9ric Magniez","orcid":"https://orcid.org/0000-0003-2384-9026"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Frederic Magniez","raw_affiliation_strings":["Universite Paris-Sud: CNRS, Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite Paris-Sud: CNRS, Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017951192","display_name":"Ashwin Nayak","orcid":"https://orcid.org/0000-0001-9866-9316"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ashwin Nayak","raw_affiliation_strings":["University of Waterloo: and Perimeter Institute, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo: and Perimeter Institute, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I183974707","https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040968296","display_name":"J\u00e9r\u00e9mie Roland","orcid":"https://orcid.org/0000-0003-0556-0376"},"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":"Jeremie Roland","raw_affiliation_strings":["University of California - Berkeley, Berkeley, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California - Berkeley, Berkeley, CA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046562790","display_name":"Mikl\u00f3s S\u00e1ntha","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Miklos Santha","raw_affiliation_strings":["Universite Paris-Sud: CNRS, Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite Paris-Sud: CNRS, Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":23.2512,"has_fulltext":false,"cited_by_count":132,"citation_normalized_percentile":{"value":0.99489392,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"575","last_page":"584"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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":1.0,"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":0.9969000220298767,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.8590892553329468},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6684902310371399},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6266283392906189},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5733310580253601},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5465251803398132},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5012686252593994},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.4727880656719208},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.4543927311897278},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.448606014251709},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4386867880821228},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4375486373901367},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.43709105253219604},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4061712622642517},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3204852044582367},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3196730613708496},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12825161218643188},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09510985016822815},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08110013604164124},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07689869403839111}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.8590892553329468},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6684902310371399},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6266283392906189},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5733310580253601},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5465251803398132},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5012686252593994},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.4727880656719208},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.4543927311897278},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.448606014251709},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4386867880821228},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4375486373901367},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.43709105253219604},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4061712622642517},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3204852044582367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3196730613708496},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12825161218643188},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09510985016822815},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08110013604164124},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07689869403839111},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1250790.1250874","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1250790.1250874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the thirty-ninth annual ACM symposium on Theory of computing","raw_type":"proceedings-article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/117206","is_oa":false,"landing_page_url":"https://dipot.ulb.ac.be/dspace/bitstream/2013/117206/3/2007_Search_via_quantum_walk.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"In: 39th ACM Symposium on Theory of Computing (STOC'07)","raw_type":"info:ulb-repo/semantics/openurl/proceeding"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320316838","display_name":"Kempe Foundation","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W247655530","https://openalex.org/W1561344775","https://openalex.org/W1618756527","https://openalex.org/W1770148716","https://openalex.org/W1849372438","https://openalex.org/W1872909421","https://openalex.org/W1966082679","https://openalex.org/W1968991779","https://openalex.org/W1993000433","https://openalex.org/W2006290558","https://openalex.org/W2010265317","https://openalex.org/W2010275623","https://openalex.org/W2020918964","https://openalex.org/W2025956887","https://openalex.org/W2034038586","https://openalex.org/W2054665888","https://openalex.org/W2059959102","https://openalex.org/W2081891996","https://openalex.org/W2084652510","https://openalex.org/W2101697221","https://openalex.org/W2109741106","https://openalex.org/W2121981260","https://openalex.org/W2127608358","https://openalex.org/W2165264713","https://openalex.org/W2592752739","https://openalex.org/W2951504820","https://openalex.org/W2962738101","https://openalex.org/W3101846364","https://openalex.org/W3106123690","https://openalex.org/W3124716999","https://openalex.org/W3217033513","https://openalex.org/W6641773193","https://openalex.org/W6642435035","https://openalex.org/W6656983194","https://openalex.org/W6678686510"],"related_works":["https://openalex.org/W2089342336","https://openalex.org/W2949694831","https://openalex.org/W3114654323","https://openalex.org/W1968287309","https://openalex.org/W2883913628","https://openalex.org/W2800432156","https://openalex.org/W1566596544","https://openalex.org/W638834885","https://openalex.org/W4320736706","https://openalex.org/W2025956887"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,11,19,27,73,114],"new":[3,45],"method":[4],"for":[5],"designing":[6],"quantum":[7,28,50,145],"search":[8],"algorithms":[9,142],"forfinding":[10],"\"marked\"":[12],"element":[13],"in":[14,37,56,67,96,129,137],"the":[15,40,54,77,80,91,105,109,130],"state":[16],"space":[17],"of":[18,39,79,93,98,108,117,140],"classical":[20],"Markovchain.":[21],"The":[22,43],"algorithm":[23,89],"is":[24,35,47,122],"based":[25,143],"on":[26,144],"walk":[29],"\u00e0":[30],"la":[31],"Szegedy":[32,86],"[25]":[33],"that":[34],"defined":[36],"terms":[38,97],"Markov":[41,118],"chain.":[42,119],"main":[44],"idea":[46],"to":[48,53,58,100,113,135],"apply":[49],"phase":[51],"estimation":[52],"quantumwalk":[55],"order":[57],"implement":[59],"an":[60,68],"approximate":[61],"reflection":[62],"operator.":[63],"Thisoperatoris":[64],"then":[65],"used":[66],"amplitude":[69],"amplification":[70],"scheme.":[71],"As":[72],"result":[74],"weconsiderably":[75],"expand":[76],"scope":[78],"previous":[81,131],"approaches":[82,95],"ofAmbainis":[83],"[6]":[84],"and":[85,133],"[25].":[87],"Our":[88],"combines":[90],"benefits":[92],"these":[94],"beingable":[99],"find":[101],"marked":[102],"elements,":[103],"incurring":[104],"smaller":[106],"cost":[107],"two,and":[110],"being":[111],"applicable":[112],"larger":[115],"class":[116],"In":[120],"addition,it":[121],"conceptually":[123],"simple,":[124],"avoids":[125],"several":[126,141],"technical":[127],"difficulties":[128],"analyses,":[132],"leads":[134],"improvements":[136],"various":[138],"aspects":[139],"walk.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":16}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}