{"id":"https://openalex.org/W2125841965","doi":"https://doi.org/10.1109/sfcs.2003.1238196","title":"A lower bound for the bounded round quantum communication complexity of set disjointness","display_name":"A lower bound for the bounded round quantum communication complexity of set disjointness","publication_year":2004,"publication_date":"2004-03-01","ids":{"openalex":"https://openalex.org/W2125841965","doi":"https://doi.org/10.1109/sfcs.2003.1238196","mag":"2125841965"},"language":"en","primary_location":{"id":"doi:10.1109/sfcs.2003.1238196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sfcs.2003.1238196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"44th Annual IEEE Symposium on Foundations of Computer Science, 2003. Proceedings.","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/A5051676245","display_name":"Rahul Jain","orcid":"https://orcid.org/0000-0002-3649-6576"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]},{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["IN","NL"],"is_corresponding":true,"raw_author_name":"R. Jain","raw_affiliation_strings":["CWI, Amsterdam, Netherlands","School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India"],"affiliations":[{"raw_affiliation_string":"CWI, Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India","institution_ids":["https://openalex.org/I11947397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080324608","display_name":"Jaikumar Radhakrishnan","orcid":"https://orcid.org/0000-0002-3875-4620"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"J. Radhakrishnan","raw_affiliation_strings":["School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India"],"affiliations":[{"raw_affiliation_string":"School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India","institution_ids":["https://openalex.org/I11947397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089869489","display_name":"Sen Pei","orcid":"https://orcid.org/0000-0002-7072-2995"},"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"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sen P","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051676245"],"corresponding_institution_ids":["https://openalex.org/I11947397","https://openalex.org/I1341640284"],"apc_list":null,"apc_paid":null,"fwci":3.2377,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.92438439,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"220","last_page":"229"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994000196456909,"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/T10237","display_name":"Cryptography and Data Security","score":0.9922999739646912,"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/combinatorics","display_name":"Combinatorics","score":0.6838969588279724},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6765055656433105},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6580325961112976},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6457833051681519},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.5669054985046387},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5020482540130615},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.49501198530197144},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4649077355861664},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43983665108680725},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35389143228530884},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11738947033882141}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6838969588279724},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6765055656433105},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6580325961112976},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6457833051681519},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.5669054985046387},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5020482540130615},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.49501198530197144},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4649077355861664},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43983665108680725},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35389143228530884},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11738947033882141},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/sfcs.2003.1238196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sfcs.2003.1238196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"44th Annual IEEE Symposium on Foundations of Computer Science, 2003. Proceedings.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.132.8668","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.132.8668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.uwaterloo.ca/~rjain/allfiles/disj.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:610102","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/610102","pdf_url":null,"source":{"id":"https://openalex.org/S2765065519","display_name":"CERN Bulletin","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4327876864","host_organization_name":"CERN Publications","host_organization_lineage":["https://openalex.org/P4327876864"],"host_organization_lineage_names":["CERN Publications"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1545349331","https://openalex.org/W1568659650","https://openalex.org/W1569763258","https://openalex.org/W1631356911","https://openalex.org/W1839137787","https://openalex.org/W1963394214","https://openalex.org/W1963973936","https://openalex.org/W1969016943","https://openalex.org/W1980223785","https://openalex.org/W1983160404","https://openalex.org/W1988155384","https://openalex.org/W1998270481","https://openalex.org/W2002501531","https://openalex.org/W2010730726","https://openalex.org/W2028406173","https://openalex.org/W2044344951","https://openalex.org/W2047424291","https://openalex.org/W2053590396","https://openalex.org/W2054081892","https://openalex.org/W2070053775","https://openalex.org/W2070486524","https://openalex.org/W2080745194","https://openalex.org/W2086290259","https://openalex.org/W2100369465","https://openalex.org/W2107917944","https://openalex.org/W2114607430","https://openalex.org/W2120210041","https://openalex.org/W2122929038","https://openalex.org/W2129275337","https://openalex.org/W2137416782","https://openalex.org/W2138007044","https://openalex.org/W2143541668","https://openalex.org/W2146950091","https://openalex.org/W2151303208","https://openalex.org/W2152221459","https://openalex.org/W2152272389","https://openalex.org/W2152489475","https://openalex.org/W2160083149","https://openalex.org/W2163964823","https://openalex.org/W2165461157","https://openalex.org/W2167346196","https://openalex.org/W2340787257","https://openalex.org/W2764347725","https://openalex.org/W2912956481","https://openalex.org/W2949863531","https://openalex.org/W4243302453","https://openalex.org/W6642499998","https://openalex.org/W6682813011","https://openalex.org/W6683357420"],"related_works":["https://openalex.org/W1523834128","https://openalex.org/W3212703233","https://openalex.org/W1513451900","https://openalex.org/W2907393545","https://openalex.org/W2962784854","https://openalex.org/W2130100567","https://openalex.org/W4288641573","https://openalex.org/W2328371232","https://openalex.org/W2914732100","https://openalex.org/W2898885577"],"abstract_inverted_index":{"We":[0,56,109],"show":[1,110,326],"lower":[2,211,217,249,294,328],"bounds":[3,329],"in":[4,81,337],"the":[5,19,43,58,112,131,168,175,193,214,248,266,274,288,308,311,331],"multi-party":[6],"quantum":[7,164,309],"communication":[8,115,165],"complexity":[9,116],"model.":[10],"In":[11],"this":[12,82,172,322],"model,":[13],"there":[14,84],"are":[15],"t":[16],"parties":[17,30,177,276],"where":[18,125],"ith":[20],"party":[21],"has":[22],"input":[23,52],"X/sub":[24,69,74,107],"i/":[25],"/spl":[26,71,92,104,120,146,155,158,180,215,239,242,252,279,290,333],"sube/":[27],"[n].":[28],"These":[29],"communicate":[31],"with":[32,40,262],"each":[33,79],"other":[34],"by":[35,140,220,256,297,305],"transmitting":[36],"qubits":[37],"to":[38,199,307],"determine":[39],"high":[41],"probability":[42],"value":[44,65],"of":[45,49,60,117,134,187,232,251,268,287,315],"some":[46],"function":[47,335],"F":[48,80,118],"their":[50],"combined":[51],"(X/sub":[53],"1/,...,X/sub":[54,98],"t/).":[55,108],"consider":[57],"class":[59,83],"Boolean":[61],"valued":[62],"functions":[63],"whose":[64],"depends":[66],"only":[67],"on":[68,229,265],"1/":[70,103],"cap/.../spl":[72,105],"cap/":[73,106],"t/;":[75],"that":[76,96,111,174,273],"is,":[77],"for":[78,130,167,237,330],"is":[85,119,138,303],"an":[86],"f/sub":[87,101,135,153,160],"F/":[88],":":[89,152],"2/sup":[90],"[n]/":[91],"rarr/":[93],"{0,1},":[94],"such":[95],"F(X/sub":[97],"t/)":[99],"=":[100,144,208],"F/(X/sub":[102],"t-party":[113],"k-round":[114],"Omega/(s/sub":[121],"m/(f/sub":[122,127,142],"F/)/(k/sup":[123],"2/)),":[124],"s/sub":[126,141],"F/)":[128,143],"stands":[129],"monotone":[132],"sensitivity":[133],"F/'":[136],"and":[137,202,223,236],"defined":[139],"/sup":[145],"utri//":[147],"max/sub":[148],"S/spl":[149],"sube//[n]":[150],"|{i":[151],"F/(S":[154],"cup/":[156],"{i})":[157],"ne/":[159],"F/(S)}|.":[161],"For":[162,206,260],"two-party":[163],"protocols":[166,261],"set":[169],"disjointness":[170],"problem,":[171],"implies":[173],"two":[176,275],"must":[178,277],"exchange":[179,278],"Omega/(n/k/sup":[181],"2/)":[182],"qubits.":[183,282],"An":[184],"upper":[185,196],"bound":[186,197,212,218,250,295],"O(n/k)":[188],"can":[189,271,325],"be":[190],"derived":[191],"from":[192],"O(/spl":[194],"radic/n)":[195,254,293],"due":[198],"S.":[200],"Aaronson":[201],"A.":[203,233,257,298],"Ambainis":[204],"(2003).":[205],"k":[207,241],"1,":[209],"our":[210],"matches":[213],"Omega/(n)":[216],"observed":[219],"H.":[221],"Buhrman":[222],"R.":[224],"de":[225],"Wolf":[226],"(2001)":[227],"(based":[228],"a":[230],"result":[231,302],"Nayak":[234],"(1999)),":[235],"2":[238],"les/":[240],"Lt/":[243],"n/sup":[244],"1/4":[245],"/,":[246],"improves":[247],"Omega/(/spl":[253],"shown":[255,296],"Razborov":[258,299],"(2002).":[259,300,320,342],"no":[263],"restrictions":[264],"number":[267],"rounds,":[269],"we":[270,324],"conclude":[272],"Omega/(n/sup":[280],"1/3/)":[281],"This,":[283],"however,":[284],"falls":[285],"short":[286],"optimal":[289],"Omega/":[291],"(/spl":[292],"Our":[301],"obtained":[304],"adapting":[306],"setting":[310],"elegant":[312],"information-theoretic":[313],"arguments":[314],"Z.":[316,338],"Bar-Yossef":[317,339],"et":[318,340],"al.":[319,341],"Using":[321],"method":[323],"similar":[327],"L/sub":[332],"infin//":[334],"considered":[336]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}