{"id":"https://openalex.org/W1967567777","doi":"https://doi.org/10.1109/tit.2015.2401397","title":"Quantum Channels With Polytopic Images and Image Additivity","display_name":"Quantum Channels With Polytopic Images and Image Additivity","publication_year":2015,"publication_date":"2015-02-06","ids":{"openalex":"https://openalex.org/W1967567777","doi":"https://doi.org/10.1109/tit.2015.2401397","mag":"1967567777"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2401397","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2401397","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/1408.2340","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Motohisa Fukuda","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Motohisa Fukuda","raw_affiliation_strings":["Zentrum Mathematik, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Zentrum Mathematik, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ion Nechita","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]},{"id":"https://openalex.org/I4210109170","display_name":"Laboratoire de Physique Th\u00e9orique","ror":"https://ror.org/01w0hda30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I4210098836","https://openalex.org/I4210109170","https://openalex.org/I4388446414","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Ion Nechita","raw_affiliation_strings":["Centre National de la Recherche Scientifique, Laboratoire de Physique Th\u00e9orique, Institute of Research on Complex Atomic and Molecular Systems, Universit\u00e9 de Toulouse, Toulouse, France","Zentrum Mathematik, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Centre National de la Recherche Scientifique, Laboratoire de Physique Th\u00e9orique, Institute of Research on Complex Atomic and Molecular Systems, Universit\u00e9 de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I4210109170"]},{"raw_affiliation_string":"Zentrum Mathematik, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":null,"display_name":"Michael M. Wolf","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael M. Wolf","raw_affiliation_strings":["Zentrum Mathematik, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Zentrum Mathematik, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":3.5608,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.93500363,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"61","issue":"4","first_page":"1851","last_page":"1859"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.6255999803543091,"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":0.6255999803543091,"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":0.06019999831914902,"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/T11804","display_name":"Quantum many-body systems","score":0.04340000078082085,"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":0.5723000168800354},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5623999834060669},{"id":"https://openalex.org/keywords/amplitude-damping-channel","display_name":"Amplitude damping channel","score":0.5561000108718872},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.5478000044822693},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.4715000092983246},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.45750001072883606},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.43950000405311584},{"id":"https://openalex.org/keywords/classical-capacity","display_name":"Classical capacity","score":0.43369999527931213},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.40529999136924744}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6018999814987183},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.5723000168800354},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5623999834060669},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.5561000108718872},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.5478000044822693},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.4715000092983246},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.45750001072883606},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.43369999527931213},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.40529999136924744},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3935999870300293},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.3476000130176544},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3458999991416931},{"id":"https://openalex.org/C38803922","wikidata":"https://www.wikidata.org/wiki/Q95745348","display_name":"Additive function","level":2,"score":0.3416999876499176},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34139999747276306},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33500000834465027},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33329999446868896},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.3328000009059906},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.3312000036239624},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.3208000063896179},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.30379998683929443},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.2969000041484833},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.27559998631477356},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.2727000117301941}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2015.2401397","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2401397","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:1408.2340","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.2340","pdf_url":"https://arxiv.org/pdf/1408.2340","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:HAL:hal-01155627v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01155627","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, 2015, 61 (4), pp.1851-1859. &#x27E8;10.1109/TIT.2015.2401397&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1408.2340","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.2340","pdf_url":"https://arxiv.org/pdf/1408.2340","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/G174610016","display_name":null,"funder_award_id":"48322","funder_id":"https://openalex.org/F4320306193","funder_display_name":"John Templeton Foundation"},{"id":"https://openalex.org/G7355044218","display_name":null,"funder_award_id":"ANR-12-IS01-0001-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320306193","display_name":"John Templeton Foundation","ror":"https://ror.org/035tnyy05"},{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320338463","display_name":"CHIST-ERA","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W119189535","https://openalex.org/W1523754616","https://openalex.org/W1568529095","https://openalex.org/W1972266216","https://openalex.org/W1997251631","https://openalex.org/W1997472636","https://openalex.org/W1998018243","https://openalex.org/W2015775929","https://openalex.org/W2016648670","https://openalex.org/W2023747038","https://openalex.org/W2062799611","https://openalex.org/W2068745994","https://openalex.org/W2071160621","https://openalex.org/W2112866726","https://openalex.org/W2116102644","https://openalex.org/W2137826035","https://openalex.org/W2142453065","https://openalex.org/W4253914708","https://openalex.org/W6729678825"],"related_works":[],"abstract_inverted_index":{"We":[0,24,50],"study":[1],"quantum":[2,30,57,71],"channels":[3,31,58,96,107],"with":[4,108],"respect":[5],"to":[6,99],"their":[7],"image,":[8],"i.e.,":[9],"the":[10,13,19,22,27,40,66,74,81,85,89],"image":[11,63,75],"of":[12,15,21,29,39,56,76,84,88,91,104,115],"set":[14,28],"density":[16],"operators":[17],"under":[18],"action":[20],"channel.":[23],"first":[25],"characterize":[26],"having":[32],"polytopic":[33,109],"images":[34,90,110],"and":[35,93,111],"show":[36],"that":[37,60,68],"additivity":[38],"minimal":[41],"output":[42],"entropy":[43],"can":[44],"be":[45],"violated":[46],"in":[47,65],"this":[48],"class.":[49],"then":[51],"provide":[52],"a":[53,101,112],"complete":[54],"characterization":[55],"T":[59,77,92],"are":[61],"universally":[62],"additive":[64],"sense":[67],"for":[69],"any":[70],"channel":[72],"S,":[73],"\u2297":[78],"S":[79],"is":[80],"convex":[82],"hull":[83],"tensor":[86],"product":[87],"S.":[94],"These":[95],"turn":[97],"out":[98],"form":[100],"strict":[102,113],"subset":[103],"entanglement":[105],"breaking":[106],"superset":[114],"classical-quantum":[116],"channels.":[117]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2016-06-24T00:00:00"}
