{"id":"https://openalex.org/W2765560799","doi":"https://doi.org/10.1109/isit.2019.8849572","title":"Measuring Quantum Entropy","display_name":"Measuring Quantum Entropy","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2765560799","doi":"https://doi.org/10.1109/isit.2019.8849572","mag":"2765560799"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849572","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1711.00814","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022867638","display_name":"Jayadev Acharya","orcid":"https://orcid.org/0000-0003-2170-3015"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jayadev Acharya","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, 14853","School of Electrical and Computer Engineering, Cornell University, Ithaca NY 14853"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, 14853","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca NY 14853","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025826564","display_name":"Ibrahim Issa","orcid":"https://orcid.org/0000-0002-2865-9339"},"institutions":[{"id":"https://openalex.org/I98635879","display_name":"American University of Beirut","ror":"https://ror.org/04pznsd21","country_code":"LB","type":"education","lineage":["https://openalex.org/I98635879"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Ibrahim Issa","raw_affiliation_strings":["American University of Beirut, Beirut, Lebanon","American University Of Beirut Beirut, Lebanon"],"affiliations":[{"raw_affiliation_string":"American University of Beirut, Beirut, Lebanon","institution_ids":["https://openalex.org/I98635879"]},{"raw_affiliation_string":"American University Of Beirut Beirut, Lebanon","institution_ids":["https://openalex.org/I98635879"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081513264","display_name":"Nirmal V. Shende","orcid":"https://orcid.org/0000-0003-3205-8584"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nirmal V. Shende","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, 14853","School of Electrical and Computer Engineering, Cornell University, Ithaca NY 14853"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, 14853","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca NY 14853","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073557148","display_name":"Aaron B. Wagner","orcid":"https://orcid.org/0000-0001-9127-0089"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aaron B. Wagner","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, 14853","School of Electrical and Computer Engineering, Cornell University, Ithaca NY 14853"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, 14853","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca NY 14853","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022867638"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":0.4337,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70104328,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3012","last_page":"3016"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9987000226974487,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9976999759674072,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6825923323631287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6158360242843628},{"id":"https://openalex.org/keywords/von-neumann-entropy","display_name":"Von Neumann entropy","score":0.614039421081543},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.573244035243988},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.4940648376941681},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.4812205135822296},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.46426844596862793},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4504967927932739},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.41852331161499023},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.40641969442367554},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19719207286834717},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17536023259162903},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13213592767715454},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1017158031463623}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6825923323631287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6158360242843628},{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.614039421081543},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.573244035243988},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.4940648376941681},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.4812205135822296},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.46426844596862793},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4504967927932739},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.41852331161499023},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.40641969442367554},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19719207286834717},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17536023259162903},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13213592767715454},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1017158031463623}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2019.8849572","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1711.00814","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.00814","pdf_url":"https://arxiv.org/pdf/1711.00814","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2765560799","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1711.00814.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1711.00814","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1711.00814","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1711.00814","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.00814","pdf_url":"https://arxiv.org/pdf/1711.00814","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1551177513","https://openalex.org/W1665875856","https://openalex.org/W1895284981","https://openalex.org/W1944079109","https://openalex.org/W1971974148","https://openalex.org/W1978553093","https://openalex.org/W1979404713","https://openalex.org/W2020725861","https://openalex.org/W2025187617","https://openalex.org/W2063302961","https://openalex.org/W2084157340","https://openalex.org/W2089410862","https://openalex.org/W2094367057","https://openalex.org/W2096150384","https://openalex.org/W2097342980","https://openalex.org/W2105886659","https://openalex.org/W2117679895","https://openalex.org/W2123142728","https://openalex.org/W2127688694","https://openalex.org/W2135178212","https://openalex.org/W2171836098","https://openalex.org/W2750865092","https://openalex.org/W2754616276","https://openalex.org/W2766006549","https://openalex.org/W2951169248","https://openalex.org/W2951499400","https://openalex.org/W2963661175","https://openalex.org/W2963934687","https://openalex.org/W4231127907","https://openalex.org/W6764708301"],"related_works":["https://openalex.org/W3126869025","https://openalex.org/W2778748440","https://openalex.org/W2118458355","https://openalex.org/W2089272304","https://openalex.org/W2989940302","https://openalex.org/W2947509067","https://openalex.org/W3013042799","https://openalex.org/W2410486072","https://openalex.org/W2918938639","https://openalex.org/W3034718387","https://openalex.org/W3018126384","https://openalex.org/W3106353459","https://openalex.org/W2047955961","https://openalex.org/W2949719087","https://openalex.org/W3101078953","https://openalex.org/W2953230149","https://openalex.org/W2545214985","https://openalex.org/W97304248","https://openalex.org/W2766438080","https://openalex.org/W2950913896"],"abstract_inverted_index":{"The":[0,76],"entropy":[1,46,113,116],"of":[2,9,22,30,41,47,68,93,103,105,108,117,130,141],"a":[3,7,81],"quantum":[4,34],"system":[5],"is":[6,13,62,80,97,138],"measure":[8],"its":[10],"randomness":[11],"and":[12,27,58,114,123],"useful":[14],"in":[15,89,146],"quantifying":[16],"entanglement.":[17],"We":[18],"study":[19],"the":[20,24,42,54,66,73,90,100,127,131,139,142],"problem":[21],"measuring":[23],"von":[25,111],"Neumann":[26,112],"R\u00e9nyi":[28,45,115],"entropies":[29],"an":[31],"unknown":[32],"mixed":[33],"state":[35],"given":[36],"access":[37],"to":[38,71],"independent":[39],"copies":[40,69],"state.":[43,75],"For":[44,110],"integral":[48],"order":[49],"exceeding":[50],"one,":[51],"we":[52,120],"determine":[53],"order-optimal":[55],"copy":[56],"complexity":[57,129],"show":[59],"that":[60,87],"it":[61],"strictly":[63],"lower":[64,124],"than":[65],"number":[67],"required":[70],"learn":[72],"underlying":[74],"main":[77],"technical":[78],"innovation":[79],"concentration":[82],"result":[83],"for":[84],"certain":[85,106],"polynomials":[86],"arise":[88],"Kerov":[91],"algebra":[92],"Young":[94,133],"diagrams,":[95],"which":[96,137],"proven":[98],"using":[99],"cycle":[101],"structure":[102],"compositions":[104],"types":[107],"permutations.":[109],"non-integral":[118],"orders,":[119],"provide":[121],"upper":[122],"bounds":[125],"on":[126],"sample":[128],"Empirical":[132],"Diagram":[134],"(EYD)":[135],"algorithm,":[136],"analogue":[140],"empirical":[143],"plug-in":[144],"estimator":[145],"classical":[147],"estimation.":[148]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}
