{"id":"https://openalex.org/W1629587143","doi":"https://doi.org/10.1109/tit.2016.2516006","title":"Smooth Entropy Bounds on One-Shot Quantum State Redistribution","display_name":"Smooth Entropy Bounds on One-Shot Quantum State Redistribution","publication_year":2016,"publication_date":"2016-01-08","ids":{"openalex":"https://openalex.org/W1629587143","doi":"https://doi.org/10.1109/tit.2016.2516006","mag":"1629587143"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2516006","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2516006","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.4338","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mario Berta","orcid":"https://orcid.org/0000-0002-0428-3429"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mario Berta","raw_affiliation_strings":["Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-0428-3429","affiliations":[{"raw_affiliation_string":"Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Matthias Christandl","orcid":null},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Matthias Christandl","raw_affiliation_strings":["Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","author":{"id":null,"display_name":"Dave Touchette","orcid":null},"institutions":[{"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":["Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I183974707"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.7162,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.97956771,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"62","issue":"3","first_page":"1425","last_page":"1439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.7451000213623047,"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":0.7451000213623047,"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":0.05510000139474869,"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"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.05130000039935112,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.6085000038146973},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.5619999766349792},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.5171999931335449},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.5023999810218811},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49410000443458557},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.4787999987602234},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.4544999897480011},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4505000114440918},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.44589999318122864},{"id":"https://openalex.org/keywords/quantum-capacity","display_name":"Quantum capacity","score":0.4255000054836273}],"concepts":[{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.6085000038146973},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.5619999766349792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5601000189781189},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.5171999931335449},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.5023999810218811},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49410000443458557},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.4787999987602234},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4544999897480011},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4505000114440918},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.44589999318122864},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4325999915599823},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.4255000054836273},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.4244000017642975},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4147000014781952},{"id":"https://openalex.org/C64775481","wikidata":"https://www.wikidata.org/wiki/Q3798613","display_name":"Quantum mutual information","level":5,"score":0.39410001039505005},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.39160001277923584},{"id":"https://openalex.org/C91717678","wikidata":"https://www.wikidata.org/wiki/Q1135332","display_name":"Quantum teleportation","level":5,"score":0.3806999921798706},{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.37940001487731934},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.37439998984336853},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3732999861240387},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.37130001187324524},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.35690000653266907},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.3264999985694885},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.3183000087738037},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.302700012922287},{"id":"https://openalex.org/C187678412","wikidata":"https://www.wikidata.org/wiki/Q2042163","display_name":"Superdense coding","level":5,"score":0.30059999227523804},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.29910001158714294},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.2971000075340271},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.29409998655319214},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.28839999437332153},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.28760001063346863},{"id":"https://openalex.org/C118704821","wikidata":"https://www.wikidata.org/wiki/Q2898260","display_name":"Bell state","level":4,"score":0.2831000089645386},{"id":"https://openalex.org/C198377831","wikidata":"https://www.wikidata.org/wiki/Q7269027","display_name":"Quantum correlation","level":5,"score":0.27799999713897705},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.27079999446868896},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.2696000039577484},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.26179999113082886},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tit.2016.2516006","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2516006","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:arXiv.org:1409.4338","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.4338","pdf_url":"https://arxiv.org/pdf/1409.4338","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":"pmh:oai:authors.library.caltech.edu:64514","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/64514/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.740.4606","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.740.4606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1409.4338.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/9ad2444f-b070-41d3-9371-cbdf07a83793","is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/9ad2444f-b070-41d3-9371-cbdf07a83793","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Berta , M , Christandl , M & Touchette , D 2016 , ' Smooth Entropy Bounds on One-Shot Quantum State Redistribution ' , I E E E Transactions on Information Theory , vol. 62 , no. 3 , pp. 1425-1439 . https://doi.org/10.1109/TIT.2016.2516006","raw_type":"article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/63493","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/63493","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"1439","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.4338","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.4338","pdf_url":"https://arxiv.org/pdf/1409.4338","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":[{"id":"https://openalex.org/G2684148513","display_name":null,"funder_award_id":"12500028","funder_id":"https://openalex.org/F4320306202","funder_display_name":"Gordon and Betty Moore Foundation"}],"funders":[{"id":"https://openalex.org/F4320306202","display_name":"Gordon and Betty Moore Foundation","ror":"https://ror.org/006wxqw41"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1607037393","https://openalex.org/W1629587143","https://openalex.org/W1966320861","https://openalex.org/W1966698790","https://openalex.org/W1975313455","https://openalex.org/W1994811895","https://openalex.org/W2005952170","https://openalex.org/W2020582875","https://openalex.org/W2033720918","https://openalex.org/W2037670238","https://openalex.org/W2071028809","https://openalex.org/W2071968733","https://openalex.org/W2106308393","https://openalex.org/W2112065886","https://openalex.org/W2116543308","https://openalex.org/W2120574262","https://openalex.org/W2132840498","https://openalex.org/W2136698279","https://openalex.org/W2144277460","https://openalex.org/W2146720213","https://openalex.org/W2148725952","https://openalex.org/W2166302514","https://openalex.org/W2167346196","https://openalex.org/W2170183747","https://openalex.org/W3103182327","https://openalex.org/W4231127907","https://openalex.org/W6629983000","https://openalex.org/W6632391084","https://openalex.org/W6637464587","https://openalex.org/W6642767904","https://openalex.org/W6671082024","https://openalex.org/W6675379323","https://openalex.org/W6786097950"],"related_works":[],"abstract_inverted_index":{"In":[0,136,192],"quantum":[1,69,79,120,148,154,184,200],"state":[2,54,80,121,128,185,201],"redistribution":[3,81,122,186],"as":[4],"introduced":[5],"by":[6,24,30,131],"Luo":[7],"and":[8,10,12,44,62,71,97,139,160],"Devetak":[9,11],"Yard,":[13],"there":[14],"are":[15,88],"four":[16],"systems":[17],"of":[18,52,68,78,91,115,178,180],"interest:":[19],"the":[20,26,32,45,53,56,66,76,92,98,104,113,119,137,147,153,164,169,188],"A":[21],"system":[22,28,34,47],"held":[23,29],"Alice;":[25],"B":[27],"Bob;":[31,43],"C":[33],"that":[35,48],"is":[36],"to":[37,42,74,152,168],"be":[38],"transmitted":[39],"from":[40],"Alice":[41],"R":[46],"holds":[49,205],"a":[50,83,108,133,196],"purification":[51],"in":[55,82,89,187],"ABC":[57],"registers.":[58],"We":[59],"give":[60],"upper":[61,105],"lower":[63],"bounds":[64,87,145,162],"on":[65,112],"amount":[67],"communication":[70,149],"entanglement":[72],"required":[73],"perform":[75],"task":[77,123],"one-shot":[84],"setting.":[85],"Our":[86],"terms":[90],"smooth":[93,99],"conditional":[94,155,170],"minand":[95],"max-entropy,":[96],"max-information.":[100],"The":[101],"protocol":[102],"for":[103,146,163,183,199,208],"bound":[106],"has":[107],"clear":[109],"structure,":[110],"building":[111],"work":[114],"Oppenheim:":[116],"it":[117],"decomposes":[118],"into":[124],"two":[125],"simpler":[126],"coherent":[127,134],"merging":[129],"tasks":[130],"introducing":[132],"relay.":[135],"independent":[138],"identical":[140],"(i.i.d.)":[141],"asymptotic":[142,190],"limit":[143],"our":[144,161],"cost":[150,166],"converge":[151,167],"mutual":[156],"information":[157],"I(C;":[158],"R|B),":[159],"total":[165],"entropy":[171],"H(C|B).":[172],"This":[173],"yields":[174],"an":[175],"alternative":[176],"proof":[177],"optimality":[179],"these":[181],"rates":[182],"i.i.d.":[189],"limit.":[191],"particular,":[193],"we":[194],"obtain":[195],"strong":[197],"converse":[198],"redistribution,":[202],"which":[203],"even":[204],"when":[206],"allowing":[207],"feedback.":[209]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
