{"id":"https://openalex.org/W3089688728","doi":"https://doi.org/10.1145/3406325.3451019","title":"An optimal separation of randomized and Quantum query complexity","display_name":"An optimal separation of randomized and Quantum query complexity","publication_year":2021,"publication_date":"2021-06-15","ids":{"openalex":"https://openalex.org/W3089688728","doi":"https://doi.org/10.1145/3406325.3451019","mag":"3089688728"},"language":"en","primary_location":{"id":"doi:10.1145/3406325.3451019","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3406325.3451019","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3406325.3451019","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3406325.3451019","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079755716","display_name":"Alexander A. Sherstov","orcid":"https://orcid.org/0000-0002-2488-7852"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander A. Sherstov","raw_affiliation_strings":["University of California at Los Angeles, USA"],"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056870790","display_name":"Andrey A. Storozhenko","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrey A. Storozhenko","raw_affiliation_strings":["University of California at Los Angeles, USA"],"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103104211","display_name":"Pei Wu","orcid":"https://orcid.org/0000-0003-4418-5900"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pei Wu","raw_affiliation_strings":["University of California at Los Angeles, USA"],"affiliations":[{"raw_affiliation_string":"University of California at Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079755716"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":1.1197,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81537041,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1289","last_page":"1302"},"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":0.9994999766349792,"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":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7266560196876526},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6635624766349792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6395002007484436},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6233363151550293},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5354260206222534},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5332388877868652},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.48951756954193115},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4626503884792328},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4402354061603546},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.43982866406440735},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.41086363792419434},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20242780447006226},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18737930059432983},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13773363828659058},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11539566516876221}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7266560196876526},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6635624766349792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6395002007484436},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6233363151550293},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5354260206222534},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5332388877868652},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48951756954193115},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4626503884792328},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4402354061603546},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43982866406440735},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.41086363792419434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20242780447006226},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18737930059432983},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13773363828659058},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11539566516876221},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3406325.3451019","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3406325.3451019","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3406325.3451019","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3406325.3451019","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3406325.3451019","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3406325.3451019","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6899999976158142,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2800666516","display_name":null,"funder_award_id":"CCF-1814947","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8585507566","display_name":"AF: Small: Multiparty Communication, Polynomials, and Noise","funder_award_id":"1814947","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3089688728.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1562469244","https://openalex.org/W1991730713","https://openalex.org/W1993688167","https://openalex.org/W2012496360","https://openalex.org/W2029370139","https://openalex.org/W2033216491","https://openalex.org/W2050334794","https://openalex.org/W2084652510","https://openalex.org/W2086290259","https://openalex.org/W2092871850","https://openalex.org/W2108852611","https://openalex.org/W2112501493","https://openalex.org/W2117584890","https://openalex.org/W2122780600","https://openalex.org/W2399288482","https://openalex.org/W2809421804","https://openalex.org/W2811282363","https://openalex.org/W2966301123","https://openalex.org/W2982703414","https://openalex.org/W3003311442","https://openalex.org/W3007902207","https://openalex.org/W3023478445","https://openalex.org/W3032228079","https://openalex.org/W3090910965","https://openalex.org/W3102754027","https://openalex.org/W3104067947","https://openalex.org/W3111297213","https://openalex.org/W3196562386","https://openalex.org/W3197588836","https://openalex.org/W4212992501","https://openalex.org/W4287178654"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4288279572","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W1973978937","https://openalex.org/W1983915440","https://openalex.org/W3095925971"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"for":[3],"every":[4],"decision":[5],"tree,":[6],"the":[7,11,26,32],"absolute":[8,39],"values":[9],"of":[10,14,28],"Fourier":[12],"coefficients":[13],"given":[15],"order":[16],"t\u22651":[17],"sum":[18],"to":[19,51,60],"at":[20,70],"most":[21],"(cd/t)t/2(1+logn)(t\u22121)/2,":[22],"where":[23],"n":[24],"is":[25,31,37,43],"number":[27],"variables,":[29],"d":[30],"tree":[33],"depth,":[34],"and":[35,46],"c>0":[36],"an":[38],"constant.":[40],"This":[41],"bound":[42],"essentially":[44],"tight":[45],"settles":[47],"a":[48],"conjecture":[49],"due":[50],"Tal":[52],"(arxiv":[53],"2019;":[54],"FOCS":[55],"2020).":[56],"The":[57],"bounds":[58],"prior":[59],"our":[61],"work":[62],"degraded":[63],"rapidly":[64],"with":[65],"t,":[66],"becoming":[67],"trivial":[68],"already":[69],"t=\u221ad.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}