{"id":"https://openalex.org/W1553963501","doi":"https://doi.org/10.1007/978-3-642-18073-6_11","title":"A Conceptually Simple Proof of the Quantum Reverse Shannon Theorem","display_name":"A Conceptually Simple Proof of the Quantum Reverse Shannon Theorem","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1553963501","doi":"https://doi.org/10.1007/978-3-642-18073-6_11","mag":"1553963501"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-18073-6_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18073-6_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5029170997","display_name":"Mario Berta","orcid":"https://orcid.org/0000-0002-0428-3429"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["CH","DE"],"is_corresponding":false,"raw_author_name":"Mario Berta","raw_affiliation_strings":["Faculty of Physics, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, 80333, Munich, Germany","Institute for Theoretical Physics, ETH Zurich, 8093, Zurich, Switzerland","Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland","Faculty of Physics, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Physics, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, 80333, Munich, Germany","institution_ids":["https://openalex.org/I8204097"]},{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Zurich, 8093, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Faculty of Physics, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006329724","display_name":"Matthias Christandl","orcid":"https://orcid.org/0000-0003-2281-3355"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["CH","DE"],"is_corresponding":false,"raw_author_name":"Matthias Christandl","raw_affiliation_strings":["Faculty of Physics, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, 80333, Munich, Germany","Institute for Theoretical Physics, ETH Zurich, 8093, Zurich, Switzerland","Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland","Faculty of Physics, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Physics, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, 80333, Munich, Germany","institution_ids":["https://openalex.org/I8204097"]},{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Zurich, 8093, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Faculty of Physics, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020346319","display_name":"Renato Renner","orcid":"https://orcid.org/0000-0001-5044-6113"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Renato Renner","raw_affiliation_strings":["Institute for Theoretical Physics, ETH Zurich, 8093, Zurich, Switzerland","Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Zurich, 8093, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8635,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.86633787,"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":"131","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"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"}},"topics":[{"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9990000128746033,"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":0.9980999827384949,"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":0.7548457980155945},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6869564652442932},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5676447749137878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5479306578636169},{"id":"https://openalex.org/keywords/proof-of-concept","display_name":"Proof of concept","score":0.5212603211402893},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.43050551414489746},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.4303724765777588},{"id":"https://openalex.org/keywords/shannon\u2013hartley-theorem","display_name":"Shannon\u2013Hartley theorem","score":0.4236266016960144},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3367201089859009},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3237662613391876},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32077914476394653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2687026262283325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2201652228832245},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.1871429681777954},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11714854836463928},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05932193994522095}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7548457980155945},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6869564652442932},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5676447749137878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5479306578636169},{"id":"https://openalex.org/C124978682","wikidata":"https://www.wikidata.org/wiki/Q1201019","display_name":"Proof of concept","level":2,"score":0.5212603211402893},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.43050551414489746},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4303724765777588},{"id":"https://openalex.org/C180137035","wikidata":"https://www.wikidata.org/wiki/Q1756194","display_name":"Shannon\u2013Hartley theorem","level":4,"score":0.4236266016960144},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3367201089859009},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3237662613391876},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32077914476394653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2687026262283325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2201652228832245},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.1871429681777954},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11714854836463928},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05932193994522095},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-18073-6_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18073-6_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W324457701","https://openalex.org/W1500811957","https://openalex.org/W1539221996","https://openalex.org/W1621050367","https://openalex.org/W1631356911","https://openalex.org/W1642488513","https://openalex.org/W1681178417","https://openalex.org/W1966698790","https://openalex.org/W1977545330","https://openalex.org/W1988155384","https://openalex.org/W1995875735","https://openalex.org/W2001619599","https://openalex.org/W2005952170","https://openalex.org/W2015254684","https://openalex.org/W2020582875","https://openalex.org/W2034307424","https://openalex.org/W2037772232","https://openalex.org/W2071968733","https://openalex.org/W2099213070","https://openalex.org/W2106654982","https://openalex.org/W2114805880","https://openalex.org/W2123142728","https://openalex.org/W2132840498","https://openalex.org/W2141412822","https://openalex.org/W2144277460","https://openalex.org/W2146720213","https://openalex.org/W2154564336","https://openalex.org/W2159566537","https://openalex.org/W2164253138","https://openalex.org/W2166302514","https://openalex.org/W2948197718","https://openalex.org/W2950379264","https://openalex.org/W2963979065","https://openalex.org/W2995235436","https://openalex.org/W3098157458","https://openalex.org/W3099569555","https://openalex.org/W3100638609","https://openalex.org/W3104006593","https://openalex.org/W6604549702","https://openalex.org/W6638429528"],"related_works":["https://openalex.org/W1964921276","https://openalex.org/W2741523612","https://openalex.org/W2123142728","https://openalex.org/W2951090982","https://openalex.org/W2963979065","https://openalex.org/W3099674169","https://openalex.org/W2950097517","https://openalex.org/W3103182327","https://openalex.org/W2562863120","https://openalex.org/W1624608204"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}