{"id":"https://openalex.org/W2407924029","doi":"https://doi.org/10.1145/2907939","title":"Exponential Separation of Information and Communication for Boolean Functions","display_name":"Exponential Separation of Information and Communication for Boolean Functions","publication_year":2016,"publication_date":"2016-11-15","ids":{"openalex":"https://openalex.org/W2407924029","doi":"https://doi.org/10.1145/2907939","mag":"2407924029"},"language":"en","primary_location":{"id":"doi:10.1145/2907939","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2907939","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","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/A5021833322","display_name":"Anat Ganor","orcid":null},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Anat Ganor","raw_affiliation_strings":["Weizmann Institute of Science, Rehovot, Israel","Weizmann Institute of Science , Rehovot , Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]},{"raw_affiliation_string":"Weizmann Institute of Science , Rehovot , Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050781652","display_name":"Gillat Kol","orcid":"https://orcid.org/0009-0007-4725-6694"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gillat Kol","raw_affiliation_strings":["Institute for Advanced Study"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041545934","display_name":"Ran Raz","orcid":"https://orcid.org/0009-0008-1656-2258"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ran Raz","raw_affiliation_strings":["Weizmann Institute of Science and the Institute for Advanced Study","Weizmann Institute of Science and the Institute for Advanced Study#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science and the Institute for Advanced Study","institution_ids":["https://openalex.org/I53964585"]},{"raw_affiliation_string":"Weizmann Institute of Science and the Institute for Advanced Study#TAB#","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4331,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7805122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"63","issue":"5","first_page":"1","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9918000102043152,"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/T10237","display_name":"Cryptography and Data Security","score":0.9918000102043152,"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":0.9876999855041504,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.954200029373169,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/communication-complexity","display_name":"Communication complexity","score":0.8771865367889404},{"id":"https://openalex.org/keywords/worst-case-complexity","display_name":"Worst-case complexity","score":0.6037623286247253},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5845315456390381},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5779104232788086},{"id":"https://openalex.org/keywords/rectangle","display_name":"Rectangle","score":0.5665830373764038},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5448025465011597},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.5383381247520447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5003068447113037},{"id":"https://openalex.org/keywords/quantum-complexity-theory","display_name":"Quantum complexity theory","score":0.49044081568717957},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.48196765780448914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46541643142700195},{"id":"https://openalex.org/keywords/circuit-complexity","display_name":"Circuit complexity","score":0.4645775258541107},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46448832750320435},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4375118017196655},{"id":"https://openalex.org/keywords/descriptive-complexity-theory","display_name":"Descriptive complexity theory","score":0.425581693649292},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4086277186870575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2537059187889099},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.08067956566810608},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.0715838372707367}],"concepts":[{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.8771865367889404},{"id":"https://openalex.org/C96563100","wikidata":"https://www.wikidata.org/wiki/Q8037118","display_name":"Worst-case complexity","level":3,"score":0.6037623286247253},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5845315456390381},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5779104232788086},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.5665830373764038},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5448025465011597},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.5383381247520447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5003068447113037},{"id":"https://openalex.org/C92043244","wikidata":"https://www.wikidata.org/wiki/Q7269023","display_name":"Quantum complexity theory","level":4,"score":0.49044081568717957},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.48196765780448914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46541643142700195},{"id":"https://openalex.org/C90702460","wikidata":"https://www.wikidata.org/wiki/Q1055112","display_name":"Circuit complexity","level":3,"score":0.4645775258541107},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46448832750320435},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4375118017196655},{"id":"https://openalex.org/C133142742","wikidata":"https://www.wikidata.org/wiki/Q1200755","display_name":"Descriptive complexity theory","level":3,"score":0.425581693649292},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4086277186870575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2537059187889099},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.08067956566810608},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.0715838372707367},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2907939","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2907939","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},{"id":"mag:2407924029","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc21.html#GanorKR14a","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1943969787","display_name":null,"funder_award_id":"CCF-1412958","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2433323164","display_name":null,"funder_award_id":"1402/14","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W190822590","https://openalex.org/W605043455","https://openalex.org/W766978305","https://openalex.org/W1507711139","https://openalex.org/W1589803317","https://openalex.org/W1986646471","https://openalex.org/W1994916325","https://openalex.org/W2022444580","https://openalex.org/W2033261280","https://openalex.org/W2042753471","https://openalex.org/W2060108852","https://openalex.org/W2066627246","https://openalex.org/W2073639613","https://openalex.org/W2082224527","https://openalex.org/W2107917944","https://openalex.org/W2107933515","https://openalex.org/W2110110846","https://openalex.org/W2114607430","https://openalex.org/W2126420649","https://openalex.org/W2141585995","https://openalex.org/W2157827214","https://openalex.org/W2165440928","https://openalex.org/W2187263185","https://openalex.org/W2201563107","https://openalex.org/W2205302211","https://openalex.org/W2411019220","https://openalex.org/W2496614101","https://openalex.org/W2555142029","https://openalex.org/W2571088576","https://openalex.org/W2993383518","https://openalex.org/W3157388067","https://openalex.org/W4297970684"],"related_works":["https://openalex.org/W2005285611","https://openalex.org/W2123346469","https://openalex.org/W1969550276","https://openalex.org/W2101249745","https://openalex.org/W1512314629","https://openalex.org/W2277697754","https://openalex.org/W1988394435","https://openalex.org/W1502244627","https://openalex.org/W2026717573","https://openalex.org/W2152331460","https://openalex.org/W2888350691","https://openalex.org/W2417744963","https://openalex.org/W2543655845","https://openalex.org/W2177204320","https://openalex.org/W2404643898","https://openalex.org/W2014917736","https://openalex.org/W3139077408","https://openalex.org/W2785220241","https://openalex.org/W3083920957","https://openalex.org/W37651926"],"abstract_inverted_index":{"We":[0],"show":[1],"an":[2,13],"exponential":[3],"gap":[4,58,75],"between":[5,76],"communication":[6,31,41,77,81,92,118,132],"complexity":[7,10,23,32,78,93,119,130],"and":[8,29,68,79,131],"information":[9,22,129],"by":[11],"giving":[12],"explicit":[14],"example":[15,72],"of":[16,54,66,104],"a":[17,40,52,64,74,85,97,112],"partial":[18],"boolean":[19,123],"function":[20],"with":[21],"\u2264":[24],"O":[25],"(":[26],"k":[27,35],"),":[28],"distributional":[30,91],"\u2265":[33],"2":[34],".":[36],"This":[37],"shows":[38,73],"that":[39,84],"protocol":[42],"cannot":[43,94],"always":[44],"be":[45],"compressed":[46],"to":[47,127],"its":[48],"internal":[49],"information.":[50],"By":[51,63],"result":[53,65,89],"Braverman":[55,67],"[2015],":[56],"our":[57,71,105],"is":[59,107],"the":[60,108],"largest":[61],"possible.":[62],"Rao":[69],"[2014],":[70],"amortized":[80],"complexity,":[82],"implying":[83],"tight":[86],"direct":[87],"sum":[88],"for":[90,116,122],"hold,":[95],"answering":[96],"long-standing":[98],"open":[99],"problem.":[100],"Another":[101],"(conceptual)":[102],"contribution":[103],"work":[106],"relative":[109],"discrepancy":[110],"method,":[111],"new":[113],"rectangle-based":[114],"method":[115],"proving":[117],"lower":[120],"bounds":[121],"functions,":[124],"powerful":[125],"enough":[126],"separate":[128],"complexity.":[133]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}