{"id":"https://openalex.org/W2006096862","doi":"https://doi.org/10.1137/090745854","title":"Search via Quantum Walk","display_name":"Search via Quantum Walk","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2006096862","doi":"https://doi.org/10.1137/090745854","mag":"2006096862"},"language":"en","primary_location":{"id":"doi:10.1137/090745854","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090745854","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/quant-ph/0608026","any_repository_has_fulltext":true},"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":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Magniez","raw_affiliation_strings":["magniez@liafa.jussieu.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"magniez@liafa.jussieu.fr#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017951192","display_name":"Ashwin Nayak","orcid":"https://orcid.org/0000-0001-9866-9316"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ashwin Nayak","raw_affiliation_strings":["ashwin.nayak@uwaterloo.ca#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ashwin.nayak@uwaterloo.ca#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040968296","display_name":"J\u00e9r\u00e9mie Roland","orcid":"https://orcid.org/0000-0003-0556-0376"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00e9mie Roland","raw_affiliation_strings":["jroland@nec-labs.com#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"jroland@nec-labs.com#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046562790","display_name":"Mikl\u00f3s S\u00e1ntha","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miklos Santha","raw_affiliation_strings":["santha@lri.fr#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"santha@lri.fr#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":19.7841,"has_fulltext":false,"cited_by_count":296,"citation_normalized_percentile":{"value":0.99359041,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"40","issue":"1","first_page":"142","last_page":"164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9882000088691711,"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":0.9871000051498413,"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":0.8722803592681885},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7036757469177246},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5973211526870728},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5215356349945068},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.49642783403396606},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48821523785591125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47884535789489746},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4624045491218567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4372534155845642},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.42133116722106934},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4162028729915619},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38679036498069763},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3708128333091736},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09815815091133118},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0782926082611084}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.8722803592681885},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7036757469177246},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5973211526870728},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5215356349945068},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.49642783403396606},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48821523785591125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47884535789489746},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4624045491218567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4372534155845642},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.42133116722106934},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4162028729915619},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38679036498069763},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3708128333091736},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09815815091133118},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0782926082611084},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":13,"locations":[{"id":"doi:10.1137/090745854","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090745854","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:quant-ph/0608026","is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0608026","pdf_url":"https://arxiv.org/pdf/quant-ph/0608026","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.126.5200","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.126.5200","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uwaterloo.ca/~anayak/papers/MagniezNRS06.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.188.4235","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.188.4235","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uwaterloo.ca/%7Eanayak/papers/MagniezNRS.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.215.6456","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.6456","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lri.fr/~magniez/PAPIERS/mnrs-full08.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.220.9461","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.9461","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uwaterloo.ca/%7Eanayak/papers/MagniezNRS11.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.221.3038","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.221.3038","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lri.fr/%7Esantha/Papers/mnros11.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.251.6211","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.251.6211","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/0608026v3.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.251.9889","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.251.9889","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/0608026v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.252.1657","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.252.1657","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/0608026v2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.81.9726","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.81.9726","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lri.fr/~santha/Papers/mnrs07.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:976277","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/976277","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":""},{"id":"pmh:oai:dipot.ulb.ac.be:2013/99818","is_oa":false,"landing_page_url":"https://dipot.ulb.ac.be/dspace/bitstream/2013/99818/3/2009_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":"SIAM journal on computing, 40 (1","raw_type":"info:ulb-repo/semantics/openurl/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:quant-ph/0608026","is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0608026","pdf_url":"https://arxiv.org/pdf/quant-ph/0608026","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W247655530","https://openalex.org/W1525028183","https://openalex.org/W1561344775","https://openalex.org/W1618756527","https://openalex.org/W1727340102","https://openalex.org/W1770148716","https://openalex.org/W1872909421","https://openalex.org/W1966082679","https://openalex.org/W1968991779","https://openalex.org/W1976625337","https://openalex.org/W1980458533","https://openalex.org/W1991075883","https://openalex.org/W1993000433","https://openalex.org/W1993688167","https://openalex.org/W2006290558","https://openalex.org/W2010265317","https://openalex.org/W2020918964","https://openalex.org/W2025956887","https://openalex.org/W2034038586","https://openalex.org/W2035627701","https://openalex.org/W2043694962","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/W2127608358","https://openalex.org/W2146537406","https://openalex.org/W2165264713","https://openalex.org/W2583308334","https://openalex.org/W2592752739","https://openalex.org/W2610857016","https://openalex.org/W2913164239","https://openalex.org/W2951504820","https://openalex.org/W2962738101","https://openalex.org/W3101846364","https://openalex.org/W3106123690","https://openalex.org/W3124716999"],"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/W3127020915"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,12,20,29,103,172],"new":[3,72],"method":[4],"for":[5,10,119],"designing":[6],"quantum":[7,30,77,82,198],"search":[8],"algorithms":[9,195],"finding":[11],"\u201cmarked\u201d":[13],"element":[14],"in":[15,42,64,84,97,122,152,189],"the":[16,45,67,81,108,111,125,147,162,166,190],"state":[17],"space":[18],"of":[19,37,44,51,66,110,114,124,131,149,154,165,175,193],"classical":[21],"Markov":[22,38,68,176],"chain.":[23,69],"The":[24,70],"algorithm":[25,118,145],"is":[26,62,74,94,181],"based":[27,40,196],"on":[28,49,129,197],"walk":[31,83,117],"\u00e0":[32],"la":[33],"Szegedy":[34,142],"[Quantum":[35,116],"speed-up":[36],"chain":[39],"algorithms,":[41],"Proceedings":[43,123],"45th":[46,126],"IEEE":[47,54,127,134],"Symposium":[48,128],"Foundations":[50,130],"Computer":[52,55,132,135],"Science,":[53,133],"Society":[56,136],"Press,":[57,137],"2004,":[58,138],"pp.":[59,139],"32\u201341]":[60],"that":[61],"defined":[63],"terms":[65,153],"main":[71],"idea":[73],"to":[75,80,86,157,171],"apply":[76],"phase":[78],"estimation":[79],"order":[85],"implement":[87],"an":[88,98],"approximate":[89],"reflection":[90],"operator.":[91],"This":[92],"operator":[93],"then":[95],"used":[96],"amplitude":[99],"amplification":[100],"scheme.":[101],"As":[102],"result":[104],"we":[105],"considerably":[106],"expand":[107],"scope":[109],"previous":[112,191],"approaches":[113,151],"Ambainis":[115],"Element":[120],"Distinctness,":[121],"22\u201331]":[140],"and":[141,168,184],"(2004).":[143],"Our":[144],"combines":[146],"benefits":[148],"these":[150],"being":[155,169],"able":[156],"find":[158],"marked":[159],"elements,":[160],"incurring":[161],"smaller":[163],"cost":[164],"two,":[167],"applicable":[170],"larger":[173],"class":[174],"chains.":[177],"In":[178],"addition,":[179],"it":[180],"conceptually":[182],"simple":[183],"avoids":[185],"some":[186],"technical":[187],"difficulties":[188],"analyses":[192],"several":[194],"walk.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":28},{"year":2022,"cited_by_count":26},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":25},{"year":2019,"cited_by_count":31},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":25},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":15},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":9}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
