{"id":"https://openalex.org/W1975313455","doi":"https://doi.org/10.1142/s1230161208000043","title":"A Decoupling Approach to the Quantum Capacity","display_name":"A Decoupling Approach to the Quantum Capacity","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W1975313455","doi":"https://doi.org/10.1142/s1230161208000043","mag":"1975313455"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161208000043","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161208000043","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/quant-ph/0702005","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101909924","display_name":"Patrick Hayden","orcid":"https://orcid.org/0000-0001-8977-1845"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Patrick Hayden","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, Quebec, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033198961","display_name":"Micha\u0142 Horodecki","orcid":"https://orcid.org/0000-0002-0446-3059"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]},{"id":"https://openalex.org/I4210125429","display_name":"National Quantum Information Centre in Gdansk","ror":"https://ror.org/02vh58j74","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210125429"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Horodecki","raw_affiliation_strings":["Institute of Theoretical Physics and Astrophysics, University of Gda\u0144sk, Poland","National Quantum Information Centre of Gda\u0144sk, Gen. W. Andersa 27, 81 \u2013 824 Sopot, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics and Astrophysics, University of Gda\u0144sk, Poland","institution_ids":["https://openalex.org/I40413290"]},{"raw_affiliation_string":"National Quantum Information Centre of Gda\u0144sk, Gen. W. Andersa 27, 81 \u2013 824 Sopot, Poland","institution_ids":["https://openalex.org/I4210125429"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010503984","display_name":"Andreas Winter","orcid":"https://orcid.org/0000-0001-6344-4870"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andreas Winter","raw_affiliation_strings":["Department of Mathematics, University of Bristol, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086174924","display_name":"Jon Yard","orcid":"https://orcid.org/0000-0003-4648-949X"},"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"]},{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jon Yard","raw_affiliation_strings":["CNLS (Center for Nonlinear Studies), CCS-3 (Computer, Computational and Statistical Sciences), Los Alamos National Laboratories, Los Alamos, NM, USA","Institute for Quantum Information, Caltech, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"CNLS (Center for Nonlinear Studies), CCS-3 (Computer, Computational and Statistical Sciences), Los Alamos National Laboratories, Los Alamos, NM, USA","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Institute for Quantum Information, Caltech, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101909924"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":18.1842,"has_fulltext":false,"cited_by_count":173,"citation_normalized_percentile":{"value":0.99189701,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"15","issue":"01","first_page":"7","last_page":"19"},"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":0.9994000196456909,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9955000281333923,"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/tensor-product","display_name":"Tensor product","score":0.5422478914260864},{"id":"https://openalex.org/keywords/coherent-information","display_name":"Coherent information","score":0.5327214002609253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5276039242744446},{"id":"https://openalex.org/keywords/covariant-transformation","display_name":"Covariant transformation","score":0.5234148502349854},{"id":"https://openalex.org/keywords/decoherence-free-subspaces","display_name":"Decoherence-free subspaces","score":0.5206798315048218},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.4516059160232544},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4284393787384033},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.420502245426178},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.4112655818462372},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3944540023803711},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3353884816169739},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33372563123703003},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29657846689224243},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.25855082273483276},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19847238063812256},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14147964119911194}],"concepts":[{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5422478914260864},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.5327214002609253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5276039242744446},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.5234148502349854},{"id":"https://openalex.org/C191608238","wikidata":"https://www.wikidata.org/wiki/Q5249552","display_name":"Decoherence-free subspaces","level":5,"score":0.5206798315048218},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4516059160232544},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4284393787384033},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.420502245426178},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.4112655818462372},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3944540023803711},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3353884816169739},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33372563123703003},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29657846689224243},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.25855082273483276},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19847238063812256},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14147964119911194},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s1230161208000043","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161208000043","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:quant-ph/0702005","is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0702005","pdf_url":"https://arxiv.org/pdf/quant-ph/0702005","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:authors.library.caltech.edu:21284","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/21284/","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:cds.cern.ch:1014681","is_oa":false,"landing_page_url":"http://cds.cern.ch/record/1014681","pdf_url":null,"source":{"id":"https://openalex.org/S2765065519","display_name":"CERN Bulletin","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4327876864","host_organization_name":"CERN Publications","host_organization_lineage":["https://openalex.org/P4327876864"],"host_organization_lineage_names":["CERN Publications"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:quant-ph/0702005","is_oa":true,"landing_page_url":"http://arxiv.org/abs/quant-ph/0702005","pdf_url":"https://arxiv.org/pdf/quant-ph/0702005","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1621050367","https://openalex.org/W1725430864","https://openalex.org/W1828074370","https://openalex.org/W1839785972","https://openalex.org/W1848366941","https://openalex.org/W1969690808","https://openalex.org/W1970302872","https://openalex.org/W1977545330","https://openalex.org/W1985989979","https://openalex.org/W1995875735","https://openalex.org/W2002923615","https://openalex.org/W2114473497","https://openalex.org/W2115616752","https://openalex.org/W2116858786","https://openalex.org/W2123809589","https://openalex.org/W2132333350","https://openalex.org/W2141412822","https://openalex.org/W2143202681","https://openalex.org/W2146720213","https://openalex.org/W2153967767","https://openalex.org/W2162644822","https://openalex.org/W2490759781","https://openalex.org/W2594901681","https://openalex.org/W2798684611","https://openalex.org/W2951064389","https://openalex.org/W3098157458","https://openalex.org/W3100022902","https://openalex.org/W3100536493","https://openalex.org/W3101698424","https://openalex.org/W4299510373","https://openalex.org/W4394672652"],"related_works":["https://openalex.org/W1977821353","https://openalex.org/W2461874320","https://openalex.org/W2264989289","https://openalex.org/W4387076331","https://openalex.org/W3204740052","https://openalex.org/W2267479781","https://openalex.org/W1978729877","https://openalex.org/W1588230544","https://openalex.org/W2132333350","https://openalex.org/W4292833745"],"abstract_inverted_index":{"We":[0,47,73],"give":[1],"a":[2,20,33,39,43,89,94],"short":[3],"proof":[4],"that":[5,76],"the":[6,14,51,60,70],"coherent":[7],"information":[8,18],"is":[9,26,57,86],"an":[10],"achievable":[11],"rate":[12],"for":[13],"transmission":[15],"of":[16,42,53,100],"quantum":[17,22],"through":[19],"noisy":[21],"channel.":[23],"Our":[24],"method":[25],"to":[27,80,88],"produce":[28],"random":[29,81],"codes":[30,82],"by":[31],"performing":[32],"unitarily":[34,97],"covariant":[35],"projective":[36],"measurement":[37,55],"on":[38],"typical":[40],"subspace":[41],"tensor":[44],"power":[45],"state.":[46],"show":[48,75],"that,":[49],"provided":[50],"rank":[52],"each":[54],"operator":[56],"sufficiently":[58],"small,":[59],"transmitted":[61],"data":[62],"will,":[63],"with":[64],"high":[65],"probability,":[66],"be":[67],"decoupled":[68],"from":[69],"channel":[71],"environment.":[72],"also":[74],"our":[77],"construction":[78],"leads":[79],"whose":[83],"average":[84],"input":[85],"close":[87],"product":[90],"state":[91],"and":[92],"outline":[93],"modification":[95],"yielding":[96],"invariant":[98],"ensembles":[99],"maximally":[101],"entangled":[102],"codes.":[103]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}