{"id":"https://openalex.org/W67017478","doi":null,"title":"Quantum Decision Trees and Semidefinite Programming.","display_name":"Quantum Decision Trees and Semidefinite Programming.","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W67017478","mag":"67017478"},"language":"en","primary_location":{"id":"pmh:oai:osti.gov:975874","doi":null,"is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/975874","pdf_url":"https://www.osti.gov/servlets/purl/975874","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/servlets/purl/975874","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089197447","display_name":"Howard Barnum","orcid":"https://orcid.org/0000-0003-2336-6147","observed_orcids":["https://orcid.org/0000-0003-2336-6147"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Howard Barnum","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2336-6147","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030610930","display_name":"Michael Saks","orcid":"https://orcid.org/0000-0003-1659-7190","observed_orcids":["https://orcid.org/0000-0003-1659-7190"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Saks","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1659-7190","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5113860564","display_name":"M\u00e1ri\u00f3 Szegedy","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M\u00e1ri\u00f3 Szegedy","raw_affiliation_strings":["Mario"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mario","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5922,"has_fulltext":true,"cited_by_count":38,"citation_normalized_percentile":{"value":0.89992947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"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":0.9980000257492065,"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":0.9980000257492065,"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":0.0008999999845400453,"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":0.0003000000142492354,"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":0.9940000176429749},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"semidefinite programming","score":0.9810000061988831},{"id":"https://openalex.org/keywords/positive-semidefinite-matrices","display_name":"positive semidefinite matrices","score":0.6959999799728394},{"id":"https://openalex.org/keywords/quantum-lower-bounds","display_name":"quantum lower bounds","score":0.7319999933242798},{"id":"https://openalex.org/keywords/quantum-algorithms","display_name":"quantum algorithms","score":0.5640000104904175}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7875779867172241},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.5771418809890747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5713093280792236},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4840397238731384},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3329518735408783},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.2487613558769226},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23761585354804993},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10231313109397888},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07570311427116394},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.06375816464424133}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:osti.gov:975874","doi":null,"is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/975874","pdf_url":"https://www.osti.gov/servlets/purl/975874","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"mag:67017478","doi":null,"is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/975874","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","raw_type":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:975874","doi":null,"is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/975874","pdf_url":"https://www.osti.gov/servlets/purl/975874","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W67017478.pdf","grobid_xml":"https://content.openalex.org/works/W67017478.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2137370200","https://openalex.org/W4221151506","https://openalex.org/W2953258097","https://openalex.org/W2941132523","https://openalex.org/W2146998615","https://openalex.org/W2017671677","https://openalex.org/W2990858343","https://openalex.org/W7211884025","https://openalex.org/W1975528636","https://openalex.org/W2947296406"],"abstract_inverted_index":{"We":[0],"reformulate":[1],"the":[2,32,54,73,84,94,111,153,162,167,179,183],"notion":[3],"of":[4,10,17,27,76,90,96,155,169,182],"quantum":[5,25,40,49,86,131,176],"query":[6,41,55],"complexity":[7,89],"in":[8,51,68,71,123],"terms":[9,72],"inequalities":[11],"and":[12,78,136],"equations":[13],"for":[14,141,165],"a":[15,24,28,106,146,175],"set":[16],"positive":[18],"matrices,":[19],"which":[20,109,166],"we":[21,35,99,119,151],"view":[22],"as":[23],"analogue":[26],"decision":[29,87],"tree.":[30],"Using":[31,93],"new":[33],"formulation":[34],"show":[36,152],"that:":[37],"1.":[38],"every":[39],"algorithm":[42,65,143],"needs":[43],"to":[44,53,113,144],"use":[45],"at":[46],"most":[47],"n":[48],"bits":[50],"addition":[52],"register.":[56],"2.":[57],"For":[58],"any":[59],"function":[60,147],"f":[61,77,170],"there":[62],"is":[63,138],"an":[64,142],"that":[66],"runs":[67],"polynomial":[69],"time":[70],"truth":[74],"table":[75],"(for":[79],"{var_epsilon}":[80],">":[81],"0)":[82],"computes":[83],"{var_epsilon}-error":[85],"tree":[88],"f.":[91],"3.":[92],"dual":[95],"our":[97,124],"system":[98],"can":[100],"treat":[101],"lower":[102],"bound":[103,122],"methods":[104],"on":[105,130,178],"uniform":[107],"platform,":[108],"paves":[110],"way":[112],"their":[114],"future":[115],"comparison.":[116],"In":[117],"particular":[118],"describe":[120],"Ambainis's":[121],"framework.":[125],"4.":[126],"The":[127],"output":[128],"condition":[129],"algorithms":[132,156],"used":[133],"by":[134],"Ambainis":[135],"others":[137],"not":[139],"sufficient":[140],"compute":[145],"with":[148],"{var_epsilon}-bounded":[149],"error:":[150],"existence":[154],"whose":[157],"final":[158],"entanglement":[159],"matrix":[160],"satisfies":[161],"condition,":[163],"but":[164],"value":[168],"cannot":[171],"be":[172],"determined":[173],"from":[174],"measurement":[177],"accessible":[180],"part":[181],"computer.":[184]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}