{"id":"https://openalex.org/W2604921146","doi":"https://doi.org/10.1142/s0129054117500125","title":"Identifying Generalized Reed-Muller Codewords by Quantum Queries","display_name":"Identifying Generalized Reed-Muller Codewords by Quantum Queries","publication_year":2017,"publication_date":"2017-02-01","ids":{"openalex":"https://openalex.org/W2604921146","doi":"https://doi.org/10.1142/s0129054117500125","mag":"2604921146"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054117500125","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054117500125","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5033693436","display_name":"Stefan Arnold","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Stefan Arnold","raw_affiliation_strings":["Institute of Theoretical Computer Science, Ulm University, D-89069 Ulm, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, Ulm University, D-89069 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033693436"],"corresponding_institution_ids":["https://openalex.org/I196349391"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02989157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"02","first_page":"185","last_page":"194"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.993399977684021,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.7597873210906982},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6011056900024414},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5938450694084167},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5598936080932617},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5378033518791199},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5353090763092041},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5349677205085754},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5231165289878845},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.43630725145339966},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.42255303263664246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2766336500644684},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27594128251075745},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21877646446228027},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.19536671042442322},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.12390398979187012},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.10443663597106934},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06872057914733887}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.7597873210906982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6011056900024414},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5938450694084167},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5598936080932617},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5378033518791199},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5353090763092041},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5349677205085754},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5231165289878845},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43630725145339966},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.42255303263664246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2766336500644684},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27594128251075745},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21877646446228027},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19536671042442322},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.12390398979187012},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.10443663597106934},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06872057914733887},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054117500125","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054117500125","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1531431453","https://openalex.org/W1993688167","https://openalex.org/W2017112356","https://openalex.org/W2033216491","https://openalex.org/W2049554200","https://openalex.org/W2082507052","https://openalex.org/W2121417875","https://openalex.org/W2139322641","https://openalex.org/W2242452602","https://openalex.org/W2331927488","https://openalex.org/W3037701641","https://openalex.org/W4200283578"],"related_works":["https://openalex.org/W1999178348","https://openalex.org/W4296311369","https://openalex.org/W4318719034","https://openalex.org/W2396820687","https://openalex.org/W3035010459","https://openalex.org/W2058976380","https://openalex.org/W3151212431","https://openalex.org/W4295021234","https://openalex.org/W2011892585","https://openalex.org/W2804984957"],"abstract_inverted_index":{"We":[0],"provide":[1],"an":[2],"exact":[3],"quantum":[4,38],"query":[5],"algorithm":[6,33],"that":[7],"identifies":[8],"uncorrupted":[9],"codewords":[10],"from":[11],"a":[12,64],"degree-d":[13],"generalized":[14],"Reed-Muller":[15],"code":[16],"of":[17,25,58],"length":[18],"q":[19],"n":[20],"over":[21],"the":[22,32],"finite":[23],"field":[24],"size":[26],"q.":[27],"When":[28],"d":[29,45],"is":[30,41],"constant,":[31],"needs":[34],"\ud835\udcaa(n":[35],"d-1":[36],")":[37,46],"queries,":[39],"which":[40],"optimal.":[42],"Classically,":[43],"\u03a9(n":[44],"queries":[47],"are":[48],"necessary":[49],"to":[50],"accomplish":[51],"this":[52],"task,":[53],"even":[54],"with":[55],"constant":[56],"probability":[57],"error":[59],"admitted.":[60],"Our":[61],"work":[62],"extends":[63],"result":[65],"by":[66],"Montanaro":[67],"about":[68],"learning":[69],"multilinear":[70],"polynomials.":[71]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}