{"id":"https://openalex.org/W2982518320","doi":"https://doi.org/10.26421/qic19.11-12-4","title":"On the quantum complexity of computing the median of continuous distributions","display_name":"On the quantum complexity of computing the median of continuous distributions","publication_year":2019,"publication_date":"2019-09-01","ids":{"openalex":"https://openalex.org/W2982518320","doi":"https://doi.org/10.26421/qic19.11-12-4","mag":"2982518320"},"language":"en","primary_location":{"id":"doi:10.26421/qic19.11-12-4","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic19.11-12-4","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information and Computation","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/A5074771016","display_name":"Maciej Go\u0107win","orcid":"https://orcid.org/0000-0003-0570-6654"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Maciej Gocwin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074771016"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13232387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"11&12","first_page":"952","last_page":"966"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9725000262260437,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9717000126838684,"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/mathematics","display_name":"Mathematics","score":0.7411648035049438},{"id":"https://openalex.org/keywords/absolute-continuity","display_name":"Absolute continuity","score":0.723463237285614},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6201409697532654},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5605564117431641},{"id":"https://openalex.org/keywords/lebesgue-integration","display_name":"Lebesgue integration","score":0.5239824652671814},{"id":"https://openalex.org/keywords/lebesgue-measure","display_name":"Lebesgue measure","score":0.5233632326126099},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.5019590854644775},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5017914772033691},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.483706533908844},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4423344135284424},{"id":"https://openalex.org/keywords/continuous-function","display_name":"Continuous function (set theory)","score":0.4352591037750244},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4147263765335083},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40370482206344604},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3773369789123535},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21777907013893127},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11219918727874756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09077197313308716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7411648035049438},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.723463237285614},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6201409697532654},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5605564117431641},{"id":"https://openalex.org/C14158598","wikidata":"https://www.wikidata.org/wiki/Q853831","display_name":"Lebesgue integration","level":2,"score":0.5239824652671814},{"id":"https://openalex.org/C2777105136","wikidata":"https://www.wikidata.org/wiki/Q827230","display_name":"Lebesgue measure","level":3,"score":0.5233632326126099},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.5019590854644775},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5017914772033691},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.483706533908844},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4423344135284424},{"id":"https://openalex.org/C2778199601","wikidata":"https://www.wikidata.org/wiki/Q5165476","display_name":"Continuous function (set theory)","level":3,"score":0.4352591037750244},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4147263765335083},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40370482206344604},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3773369789123535},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21777907013893127},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11219918727874756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09077197313308716},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26421/qic19.11-12-4","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic19.11-12-4","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1995524689","https://openalex.org/W2018078545","https://openalex.org/W2597963304","https://openalex.org/W4320560303","https://openalex.org/W3194935856","https://openalex.org/W4300603661","https://openalex.org/W2613139642","https://openalex.org/W2484137745","https://openalex.org/W4293777286","https://openalex.org/W2395617856"],"abstract_inverted_index":{"We":[0,25,45,54,68],"study":[1,46],"the":[2,5,15,42,47,57,71,74,78],"approximation":[3],"of":[4,7,35,51,65,76,80,82],"median":[6],"an":[8,83],"absolutely":[9,84],"continuous":[10,31,40,85],"distribution":[11],"with":[12,33,41],"respect":[13],"to":[14,60,73],"Lebesgue":[16],"measure":[17],"given":[18],"by":[19],"a":[20,61],"probability":[21],"density":[22],"function":[23],"f.":[24],"assume":[26],"that":[27,56],"f":[28],"has":[29],"r":[30,37],"derivatives,":[32],"derivative":[34],"order":[36,66],"being":[38],"H\\\"older":[39],"exponent":[43],"\\rho.":[44],"quantum":[48],"query":[49],"complexity":[50],"this":[52],"problem.":[53],"show":[55],"\\ve-complexity":[58],"up":[59],"logarithmic":[62],"factor":[63],"is":[64],"\\ve^{-1/(r+\\rho+1)}.":[67],"also":[69],"extend":[70],"results":[72],"problem":[75],"computing":[77],"vector":[79],"quantiles":[81],"distribution.":[86]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}