{"id":"https://openalex.org/W4375862662","doi":"https://doi.org/10.1145/3588579","title":"Quantum Algorithm\u00a0for Estimating Volumes of Convex Bodies","display_name":"Quantum Algorithm\u00a0for Estimating Volumes of Convex Bodies","publication_year":2023,"publication_date":"2023-05-08","ids":{"openalex":"https://openalex.org/W4375862662","doi":"https://doi.org/10.1145/3588579"},"language":"en","primary_location":{"id":"doi:10.1145/3588579","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3588579","pdf_url":null,"source":{"id":"https://openalex.org/S4210170170","display_name":"ACM Transactions on Quantum Computing","issn_l":"2643-6809","issn":["2643-6809","2643-6817"],"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":"ACM Transactions on Quantum Computing","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/A5025980214","display_name":"Shouvanik Chakrabarti","orcid":"https://orcid.org/0000-0002-9159-4881"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shouvanik Chakrabarti","raw_affiliation_strings":["University of Maryland, USA"],"raw_orcid":"https://orcid.org/0000-0002-9159-4881","affiliations":[{"raw_affiliation_string":"University of Maryland, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018837979","display_name":"Andrew M. Childs","orcid":"https://orcid.org/0000-0002-9903-837X"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew M. Childs","raw_affiliation_strings":["University of Maryland, USA"],"raw_orcid":"https://orcid.org/0000-0002-9903-837X","affiliations":[{"raw_affiliation_string":"University of Maryland, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102827941","display_name":"Shih-Han Hung","orcid":"https://orcid.org/0000-0003-3410-7466"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shih-Han Hung","raw_affiliation_strings":["University of Texas at Austin, USA"],"raw_orcid":"https://orcid.org/0000-0003-3410-7466","affiliations":[{"raw_affiliation_string":"University of Texas at Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101509600","display_name":"Tongyang Li","orcid":"https://orcid.org/0000-0002-0338-413X"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tongyang Li","raw_affiliation_strings":["Peking University, China"],"raw_orcid":"https://orcid.org/0000-0002-0338-413X","affiliations":[{"raw_affiliation_string":"Peking University, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101484939","display_name":"Chunhao Wang","orcid":"https://orcid.org/0000-0002-9983-5774"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chunhao Wang","raw_affiliation_strings":["Pennsylvania State University, USA"],"raw_orcid":"https://orcid.org/0000-0002-9983-5774","affiliations":[{"raw_affiliation_string":"Pennsylvania State University, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044901410","display_name":"Xiaodi Wu","orcid":"https://orcid.org/0000-0001-8877-9802"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaodi Wu","raw_affiliation_strings":["University of Maryland, USA"],"raw_orcid":"https://orcid.org/0000-0001-8877-9802","affiliations":[{"raw_affiliation_string":"University of Maryland, USA","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.269,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.8255047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":"3","first_page":"1","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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":1.0,"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":0.979200005531311,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9549999833106995,"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-algorithm","display_name":"Quantum algorithm","score":0.8261725902557373},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.6557731628417969},{"id":"https://openalex.org/keywords/quantum-phase-estimation-algorithm","display_name":"Quantum phase estimation algorithm","score":0.6259430646896362},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5641319751739502},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5561215877532959},{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.49715903401374817},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.48156264424324036},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4435098171234131},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33294785022735596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31499698758125305},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.216909259557724}],"concepts":[{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.8261725902557373},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6557731628417969},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.6259430646896362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5641319751739502},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5561215877532959},{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.49715903401374817},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.48156264424324036},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4435098171234131},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33294785022735596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31499698758125305},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.216909259557724},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3588579","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3588579","pdf_url":null,"source":{"id":"https://openalex.org/S4210170170","display_name":"ACM Transactions on Quantum Computing","issn_l":"2643-6809","issn":["2643-6809","2643-6817"],"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":"ACM Transactions on Quantum Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2374076193","display_name":null,"funder_award_id":"W911NF-16-1-0349","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W1507910450","https://openalex.org/W1531368347","https://openalex.org/W1559116151","https://openalex.org/W1561344775","https://openalex.org/W1705784892","https://openalex.org/W1967134148","https://openalex.org/W1971216370","https://openalex.org/W1975528636","https://openalex.org/W1987679122","https://openalex.org/W1989383224","https://openalex.org/W2001828104","https://openalex.org/W2002372750","https://openalex.org/W2006096862","https://openalex.org/W2006290558","https://openalex.org/W2009948449","https://openalex.org/W2018345399","https://openalex.org/W2028528561","https://openalex.org/W2029029634","https://openalex.org/W2037354050","https://openalex.org/W2043657648","https://openalex.org/W2044142947","https://openalex.org/W2046481556","https://openalex.org/W2049825392","https://openalex.org/W2054665888","https://openalex.org/W2063342497","https://openalex.org/W2063986634","https://openalex.org/W2079692740","https://openalex.org/W2081891996","https://openalex.org/W2088847343","https://openalex.org/W2101697221","https://openalex.org/W2106090814","https://openalex.org/W2113718894","https://openalex.org/W2121981260","https://openalex.org/W2125299871","https://openalex.org/W2130191597","https://openalex.org/W2147487384","https://openalex.org/W2151365767","https://openalex.org/W2159000620","https://openalex.org/W2164248509","https://openalex.org/W2168908795","https://openalex.org/W2766006549","https://openalex.org/W2883631271","https://openalex.org/W2885549115","https://openalex.org/W2885790188","https://openalex.org/W2890327304","https://openalex.org/W2892013755","https://openalex.org/W2898919924","https://openalex.org/W2913086198","https://openalex.org/W2913507641","https://openalex.org/W2940807423","https://openalex.org/W2950499417","https://openalex.org/W2963559717","https://openalex.org/W2963610789","https://openalex.org/W2964259400","https://openalex.org/W3023788998","https://openalex.org/W3098752148","https://openalex.org/W3101417641","https://openalex.org/W3101631536","https://openalex.org/W3107432012","https://openalex.org/W3110308375","https://openalex.org/W3138914377","https://openalex.org/W3161114015","https://openalex.org/W3172082352","https://openalex.org/W4210258977","https://openalex.org/W4241387086","https://openalex.org/W4245266864","https://openalex.org/W4252213128"],"related_works":["https://openalex.org/W3114654323","https://openalex.org/W3121338985","https://openalex.org/W3206120658","https://openalex.org/W4388704119","https://openalex.org/W4281550036","https://openalex.org/W2910123824","https://openalex.org/W3094689058","https://openalex.org/W2911278742","https://openalex.org/W4385007402","https://openalex.org/W3037649077"],"abstract_inverted_index":{"Estimating":[0],"the":[1,31,67,93,100,131,137,194],"volume":[2,32,105,182],"of":[3,22,33,95,124,133,145,163,196,205],"a":[4,8,19,26,53,112,142,161],"convex":[5,12,37],"body":[6,38],"is":[7,99,109,139],"central":[9],"problem":[10],"in":[11,130,200,208],"geometry":[13],"and":[14,56,81,202],"can":[15],"be":[16,123],"viewed":[17],"as":[18,141],"continuous":[20],"version":[21],"counting.":[23],"We":[24,151],"present":[25],"quantum":[27,102,165,176,188,198],"algorithm":[28,71,108,207],"that":[29,121,181],"estimates":[30],"an":[34],"n":[35,47,201],"-dimensional":[36],"within":[39],"multiplicative":[40],"error":[41],"\u03b5":[42],"using":[43],"O\u0303(n":[44,57,73,82],"3":[45,76],"+":[46],"2.5":[48],"/\u03b5":[49,77,86],")":[50,79,88],"queries":[51,80],"to":[52,211],"membership":[54,189],"oracle":[55],"5":[58,85],"+n":[59,75,84],"4.5":[60],"/\u03b5)":[61],"additional":[62,89],"arithmetic":[63,90],"operations.":[64,91],"For":[65],"comparison,":[66],"best":[68,94],"known":[69],"classical":[70],"uses":[72],"3.5":[74],"2":[78,87],"5.5":[83],"To":[92,173],"our":[96,158,175,206],"knowledge,":[97],"this":[98],"first":[101],"speedup":[103,199],"for":[104,115],"estimation.":[106],"Our":[107],"based":[110],"on":[111,170],"refined":[113],"framework":[114,128],"speeding":[116],"up":[117,210],"simulated":[118],"annealing":[119],"algorithms":[120],"might":[122],"independent":[125],"interest.":[126],"This":[127],"applies":[129],"setting":[132],"\u201cChebyshev":[134],"cooling,\u201d":[135],"where":[136],"solution":[138],"expressed":[140],"telescoping":[143],"product":[144],"ratios,":[146],"each":[147],"having":[148],"bounded":[149],"variance.":[150],"develop":[152],"several":[153],"novel":[154],"techniques":[155],"when":[156],"implementing":[157],"framework,":[159],"including":[160],"theory":[162],"continuous-space":[164],"walks":[166],"with":[167],"rigorous":[168],"bounds":[169],"discretization":[171],"error.":[172],"complement":[174],"algorithms,":[177],"we":[178],"also":[179],"prove":[180],"estimation":[183],"requires":[184],"\u03a9":[185],"(\u221a":[186],"n+1/\u03b5)":[187],"queries,":[190],"which":[191],"rules":[192],"out":[193],"possibility":[195],"exponential":[197],"shows":[203],"optimality":[204],"1/\u03b5":[209],"poly-logarithmic":[212],"factors.":[213]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
