{"id":"https://openalex.org/W2972145752","doi":null,"title":"Discrete-query quantum algorithm for NAND trees. (arXiv:quant-ph/0702160v2 UPDATED)","display_name":"Discrete-query quantum algorithm for NAND trees. (arXiv:quant-ph/0702160v2 UPDATED)","publication_year":2019,"publication_date":"2019-09-09","ids":{"openalex":"https://openalex.org/W2972145752","mag":"2972145752"},"language":"en","primary_location":{"id":"mag:2972145752","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/quant-ph/0702160","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/quant-ph/0702160","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018837979","display_name":"Andrew M. Childs","orcid":"https://orcid.org/0000-0002-9903-837X","observed_orcids":["https://orcid.org/0000-0002-9903-837X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrew M. Childs","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001743971","display_name":"Richard Cleve","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Richard Cleve","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045082038","display_name":"Stephen P. Jordan","orcid":"https://orcid.org/0000-0003-1035-1827","observed_orcids":["https://orcid.org/0000-0003-1035-1827"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stephen P. Jordan","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1035-1827","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134759100","display_name":"David L. Yonge-Mallo","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David L. Yonge-Mallo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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":0.9990000128746033,"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":0.9990000128746033,"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":0.0003000000142492354,"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":9.999999747378752e-05,"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-query-complexity","display_name":"quantum query complexity","score":0.7870000004768372},{"id":"https://openalex.org/keywords/quantum-algorithms","display_name":"quantum algorithms","score":0.47699999809265137}],"concepts":[{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5624884366989136},{"id":"https://openalex.org/C124296912","wikidata":"https://www.wikidata.org/wiki/Q575178","display_name":"NAND gate","level":3,"score":0.5525776743888855},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5456488728523254},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5144555568695068},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4637022614479065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43965572118759155},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41673707962036133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39446496963500977},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3799140751361847},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3441612124443054},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31403762102127075},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24489030241966248},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.09565052390098572},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06617262959480286},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.056148141622543335}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2972145752","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/quant-ph/0702160","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2972145752","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/quant-ph/0702160","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1493399357","https://openalex.org/W1987152249","https://openalex.org/W1987962147","https://openalex.org/W2123540893","https://openalex.org/W3101636216"],"related_works":["https://openalex.org/W3103735887","https://openalex.org/W7095470675","https://openalex.org/W2949399092","https://openalex.org/W1589314219","https://openalex.org/W2952311581","https://openalex.org/W2953285152","https://openalex.org/W171959738","https://openalex.org/W1593553211","https://openalex.org/W1965858702","https://openalex.org/W1680686089"],"abstract_inverted_index":{"Recently,":[0],"Farhi,":[1],"Goldstone,":[2],"and":[3],"Gutmann":[4],"gave":[5],"a":[6],"quantum":[7,48],"algorithm":[8,33,39],"for":[9,51],"evaluating":[10],"NAND":[11],"trees":[12],"that":[13,31],"runs":[14],"in":[15,20,45],"time":[16],"O(sqrt(N":[17],"log":[18],"N))":[19],"the":[21,46],"Hamiltonian":[22],"query":[23,49],"model.":[24],"In":[25],"this":[26],"note,":[27],"we":[28],"point":[29],"out":[30],"their":[32],"can":[34],"be":[35],"converted":[36],"into":[37],"an":[38],"using":[40],"O(N^{1/2":[41],"+":[42],"epsilon})":[43],"queries":[44],"conventional":[47],"model,":[50],"any":[52],"fixed":[53],"epsilon":[54],">":[55],"0.":[56]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2019-09-12T00:00:00"}