{"id":"https://openalex.org/W2991340697","doi":"https://doi.org/10.1109/tit.2021.3130131","title":"Incompressibility of Classical Distributions","display_name":"Incompressibility of Classical Distributions","publication_year":2021,"publication_date":"2021-11-23","ids":{"openalex":"https://openalex.org/W2991340697","doi":"https://doi.org/10.1109/tit.2021.3130131","mag":"2991340697"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2021.3130131","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3130131","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1911.09126","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019412695","display_name":"Anurag Anshu","orcid":"https://orcid.org/0000-0002-3859-9309"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]},{"id":"https://openalex.org/I4210107338","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210107338"]}],"countries":["CA","US"],"is_corresponding":true,"raw_author_name":"Anurag Anshu","raw_affiliation_strings":["Institute for Quantum Computing, Waterloo, ON, Canada","Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada","Simons Institute for the Theory of Computing and the Department of EECS, University of California at Berkeley, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I183974707"]},{"raw_affiliation_string":"Simons Institute for the Theory of Computing and the Department of EECS, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I4210107338"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057755410","display_name":"Debbie Leung","orcid":"https://orcid.org/0000-0003-3750-2648"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Debbie Leung","raw_affiliation_strings":["Institute for Quantum Computing and the Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada","Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada","[Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON N2L 3G1, Canada and Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada and Perimeter Institute, Waterloo, ON N2L 2Y5, Canada.]"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing and the Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I183974707"]},{"raw_affiliation_string":"[Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON N2L 3G1, Canada and Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada and Perimeter Institute, Waterloo, ON N2L 2Y5, Canada.]","institution_ids":["https://openalex.org/I183974707","https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062846033","display_name":"Dave Touchette","orcid":null},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dave Touchette","raw_affiliation_strings":["Institut Quantique and the Department of Computer Science, Universit\u00e9 de Sherbrooke, Sherbrooke, QC, Canada","Institute for Quantum Computing, Waterloo, ON, Canada","Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Institut Quantique and the Department of Computer Science, Universit\u00e9 de Sherbrooke, Sherbrooke, QC, Canada","institution_ids":["https://openalex.org/I135117807"]},{"raw_affiliation_string":"Institute for Quantum Computing, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I183974707"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019412695"],"corresponding_institution_ids":["https://openalex.org/I151746483","https://openalex.org/I183974707","https://openalex.org/I4210107338"],"apc_list":null,"apc_paid":null,"fwci":0.2799,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60916574,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"68","issue":"3","first_page":"1758","last_page":"1771"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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/T10020","display_name":"Quantum Information and Cryptography","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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.663669764995575},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.595109760761261},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5824815034866333},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.563791036605835},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5489689111709595},{"id":"https://openalex.org/keywords/no-teleportation-theorem","display_name":"No-teleportation theorem","score":0.5139660239219666},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.503579318523407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48370224237442017},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.47079697251319885},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.4682050347328186},{"id":"https://openalex.org/keywords/alice-and-bob","display_name":"Alice and Bob","score":0.45126819610595703},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4363975524902344},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.4020114839076996},{"id":"https://openalex.org/keywords/quantum-information-science","display_name":"Quantum information science","score":0.359843373298645},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35371094942092896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2354055643081665},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17636758089065552},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13467025756835938}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.663669764995575},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.595109760761261},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5824815034866333},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.563791036605835},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5489689111709595},{"id":"https://openalex.org/C114671716","wikidata":"https://www.wikidata.org/wiki/Q17142987","display_name":"No-teleportation theorem","level":5,"score":0.5139660239219666},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.503579318523407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48370224237442017},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.47079697251319885},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4682050347328186},{"id":"https://openalex.org/C127964579","wikidata":"https://www.wikidata.org/wiki/Q649676","display_name":"Alice and Bob","level":3,"score":0.45126819610595703},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4363975524902344},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4020114839076996},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.359843373298645},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35371094942092896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2354055643081665},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17636758089065552},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13467025756835938},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2021.3130131","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3130131","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:dash.harvard.edu:1/37378339","is_oa":false,"landing_page_url":"https://nrs.harvard.edu/URN-3:HUL.INSTREPOS:37378339","pdf_url":null,"source":{"id":"https://openalex.org/S4306401540","display_name":"Digital Access to Scholarship at Harvard (DASH) (Harvard University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I136199984","host_organization_name":"Harvard University","host_organization_lineage":["https://openalex.org/I136199984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:1911.09126","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.09126","pdf_url":"https://arxiv.org/pdf/1911.09126","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:2991340697","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1911.09126.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.1911.09126","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1911.09126","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1911.09126","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.09126","pdf_url":"https://arxiv.org/pdf/1911.09126","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2165548363","display_name":null,"funder_award_id":"Canada","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320309949","display_name":"Canadian Institute for Advanced Research","ror":"https://ror.org/01sdtdd95"},{"id":"https://openalex.org/F4320319880","display_name":"Government of Canada","ror":"https://ror.org/010q4q527"},{"id":"https://openalex.org/F4320321716","display_name":"Industry Canada","ror":"https://ror.org/03zp01h17"},{"id":"https://openalex.org/F4320322676","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68"},{"id":"https://openalex.org/F4320331462","display_name":"Institut P\u00e9rim\u00e8tre de physique th\u00e9orique","ror":"https://ror.org/013m0ej23"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2991340697.pdf","grobid_xml":"https://content.openalex.org/works/W2991340697.grobid-xml"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W183359702","https://openalex.org/W600072479","https://openalex.org/W1222782780","https://openalex.org/W1507711139","https://openalex.org/W1559699582","https://openalex.org/W1589193224","https://openalex.org/W1589803317","https://openalex.org/W1614977158","https://openalex.org/W1631356911","https://openalex.org/W1964000402","https://openalex.org/W1966662759","https://openalex.org/W1978553093","https://openalex.org/W1988155384","https://openalex.org/W1989458118","https://openalex.org/W1993611246","https://openalex.org/W1994811895","https://openalex.org/W1995875735","https://openalex.org/W1996194918","https://openalex.org/W2001116627","https://openalex.org/W2003954610","https://openalex.org/W2020725861","https://openalex.org/W2023101200","https://openalex.org/W2025187617","https://openalex.org/W2026868828","https://openalex.org/W2027561650","https://openalex.org/W2044859269","https://openalex.org/W2050343325","https://openalex.org/W2050847409","https://openalex.org/W2055639171","https://openalex.org/W2066873261","https://openalex.org/W2075567596","https://openalex.org/W2076807569","https://openalex.org/W2091891040","https://openalex.org/W2104749972","https://openalex.org/W2115998098","https://openalex.org/W2116255088","https://openalex.org/W2119541346","https://openalex.org/W2123142728","https://openalex.org/W2138007044","https://openalex.org/W2157065341","https://openalex.org/W2159628417","https://openalex.org/W2166792754","https://openalex.org/W2170183747","https://openalex.org/W2171043188","https://openalex.org/W2493312408","https://openalex.org/W2548783102","https://openalex.org/W2990961515","https://openalex.org/W3099098043","https://openalex.org/W3099674169","https://openalex.org/W3100514473","https://openalex.org/W3102821223","https://openalex.org/W3102855587","https://openalex.org/W3103182327","https://openalex.org/W3106049415","https://openalex.org/W3124160004","https://openalex.org/W4231127907","https://openalex.org/W4300840296","https://openalex.org/W6628223151","https://openalex.org/W6635437692"],"related_works":["https://openalex.org/W1522029393","https://openalex.org/W3000330948","https://openalex.org/W1560628309","https://openalex.org/W2260429416","https://openalex.org/W2178293323","https://openalex.org/W2519355429","https://openalex.org/W2002651879","https://openalex.org/W3105977981","https://openalex.org/W2950372311","https://openalex.org/W2976811062","https://openalex.org/W2901680332","https://openalex.org/W2953353266","https://openalex.org/W2175863477","https://openalex.org/W3106187266","https://openalex.org/W35825000","https://openalex.org/W3103562978","https://openalex.org/W3103503611","https://openalex.org/W2197009207","https://openalex.org/W3101800155","https://openalex.org/W1905286351"],"abstract_inverted_index":{"In":[0,134],"<italic":[1,120,182,236],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[2,20,36,64,121,183,237],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">blind</i>":[3],"compression":[4,123,223],"of":[5,15,62,87,118,124,151,186,263],"quantum":[6,17,47,246],"states,":[7,153],"a":[8,13,16,28,50,58,99,139,170,181,192],"sender":[9],"Alice":[10,128,163],"is":[11,84,98,107,132,174,220,243],"given":[12],"specimen":[14,61,269],"state":[18,111,131],"<inline-formula":[19,35,63],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[21,37,65],"<tex-math":[22,38,66],"notation=\"LaTeX\">$\\rho":[23,39,67],"$":[24,40,68],"</tex-math></inline-formula>":[25,41,69],"drawn":[26,75],"from":[27,77],"known":[29],"ensemble":[30,185,219],"(but":[31],"without":[32],"knowing":[33],"what":[34,130],"is),":[42],"and":[43,106,141,164,169,190,207,257],"she":[44],"transmits":[45],"sufficient":[46],"data":[48],"to":[49,90,180,266,271],"receiver":[51],"Bob":[52,165],"so":[53],"that":[54,217],"he":[55],"can":[56],"decode":[57],"near":[59],"perfect":[60],".":[70],"For":[71],"many":[72],"such":[73],"states":[74,126,189,234],"iid":[76],"the":[78,80,85,103,115,146,158,178,196,203,208,218,227,233,240,251,254,258,268,273],"ensemble,":[79],"asymptotically":[81],"achievable":[82,104,147,205,255],"rate":[83,148,206,256],"number":[86],"qubits":[88],"required":[89],"be":[91],"transmitted":[92],"per":[93],"state.":[94],"The":[95],"Holevo":[96,209,259],"information":[97,210,260],"lower":[100,143,249],"bound":[101,144,179,198,250],"for":[102,109,149,211],"rate,":[105],"attained":[108],"pure":[110],"ensembles,":[112],"or":[113,270],"in":[114,157,199,261],"related":[116],"scenario":[117],"entanglement-assisted":[119],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">visible</i>":[122],"mixed":[125],"wherein":[127],"knows":[129],"drawn.":[133],"this":[135],"paper,":[136],"we":[137],"prove":[138,191],"general":[140],"robust":[142],"on":[145],"ensembles":[150],"classical":[152,275],"which":[154],"holds":[155],"even":[156],"least":[159],"demanding":[160],"setting":[161],"when":[162],"share":[166],"free":[167],"entanglement":[168],"constant":[171,212],"per-copy":[172],"error":[173],"allowed.":[175],"We":[176,248],"apply":[177],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">specific</i>":[184],"only":[187],"two":[188,274],"near-maximal":[193],"separation":[194],"(saturating":[195],"dimension":[197],"leading":[200],"order)":[201],"between":[202,253],"best":[204],"error.":[213],"This":[214],"also":[215],"implies":[216],"incompressible":[221],"\u2013":[222],"does":[224],"not":[225,244],"reduce":[226],"communication":[228],"cost":[229],"by":[230],"much.":[231],"Since":[232],"are":[235],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">classical</i>":[238],",":[239],"observed":[241],"incompressibility":[242],"fundamentally":[245],"mechanical.":[247],"difference":[252],"terms":[262],"quantitative":[264],"limitations":[265],"clone":[267],"distinguish":[272],"states.":[276]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
