{"id":"https://openalex.org/W4285417351","doi":"https://doi.org/10.1109/isit45174.2021.9517913","title":"A hierarchy of efficient bounds on quantum capacities exploiting symmetry","display_name":"A hierarchy of efficient bounds on quantum capacities exploiting symmetry","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W4285417351","doi":"https://doi.org/10.1109/isit45174.2021.9517913"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517913","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","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/A5023562540","display_name":"Omar Fawzi","orcid":"https://orcid.org/0000-0001-8491-0359"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Omar Fawzi","raw_affiliation_strings":["Univ Lyon,ENS Lyon, UCBL, CNRS, Inria, LIP,Lyon Cedex 07,France,F-69342","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)"],"affiliations":[{"raw_affiliation_string":"Univ Lyon,ENS Lyon, UCBL, CNRS, Inria, LIP,Lyon Cedex 07,France,F-69342","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015149708","display_name":"Ala Shayeghi","orcid":"https://orcid.org/0000-0003-1451-0485"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ala Shayeghi","raw_affiliation_strings":["Univ Lyon,ENS Lyon, UCBL, CNRS, Inria, LIP,Lyon Cedex 07,France,F-69342","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)"],"affiliations":[{"raw_affiliation_string":"Univ Lyon,ENS Lyon, UCBL, CNRS, Inria, LIP,Lyon Cedex 07,France,F-69342","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087496670","display_name":"Hoang Ta","orcid":"https://orcid.org/0000-0002-8355-9007"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hoang Ta","raw_affiliation_strings":["Univ Lyon,ENS Lyon, UCBL, CNRS, Inria, LIP,Lyon Cedex 07,France,F-69342","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)"],"affiliations":[{"raw_affiliation_string":"Univ Lyon,ENS Lyon, UCBL, CNRS, Inria, LIP,Lyon Cedex 07,France,F-69342","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023562540"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I4210144566"],"apc_list":null,"apc_paid":null,"fwci":0.56,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74714545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"272","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9986000061035156,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/hierarchy","display_name":"Hierarchy","score":0.6907540559768677},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6661242246627808},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6307160258293152},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5996705889701843},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5936879515647888},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5512658953666687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49252161383628845},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.4610767364501953},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4528553783893585},{"id":"https://openalex.org/keywords/amplitude-damping-channel","display_name":"Amplitude damping channel","score":0.44922298192977905},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.4423748850822449},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40053272247314453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3883121907711029},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.3642440736293793},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3623654246330261},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2978065013885498},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16723698377609253},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15363791584968567},{"id":"https://openalex.org/keywords/quantum-network","display_name":"Quantum network","score":0.11466267704963684}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6907540559768677},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6661242246627808},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6307160258293152},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5996705889701843},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5936879515647888},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5512658953666687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49252161383628845},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.4610767364501953},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4528553783893585},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.44922298192977905},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4423748850822449},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40053272247314453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3883121907711029},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3642440736293793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3623654246330261},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2978065013885498},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16723698377609253},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15363791584968567},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.11466267704963684},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit45174.2021.9517913","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517913","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03581636v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03581636","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":"2021 IEEE International Symposium on Information Theory (ISIT), Jul 2021, Melbourne, France. pp.272-277, &#x27E8;10.1109/ISIT45174.2021.9517913&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8181071327","display_name":null,"funder_award_id":"851716","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320326804","display_name":"Universit\u00e9 de Lyon","ror":"https://ror.org/01rk35k63"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W2279318","https://openalex.org/W1409569118","https://openalex.org/W1534413569","https://openalex.org/W1568529095","https://openalex.org/W1596185498","https://openalex.org/W1757574476","https://openalex.org/W2001619599","https://openalex.org/W2053861514","https://openalex.org/W2069234357","https://openalex.org/W2069515215","https://openalex.org/W2082592501","https://openalex.org/W2122166994","https://openalex.org/W2154564336","https://openalex.org/W2159023941","https://openalex.org/W2168792807","https://openalex.org/W2471548350","https://openalex.org/W2536952334","https://openalex.org/W2611807022","https://openalex.org/W2751541304","https://openalex.org/W2752331534","https://openalex.org/W2755536500","https://openalex.org/W2885196519","https://openalex.org/W2959461928","https://openalex.org/W2963929326","https://openalex.org/W2964179926","https://openalex.org/W2990882669","https://openalex.org/W3012290080","https://openalex.org/W3045172124","https://openalex.org/W3098262763","https://openalex.org/W3100217887","https://openalex.org/W3103617461","https://openalex.org/W3103744872","https://openalex.org/W3104492635","https://openalex.org/W3104971636","https://openalex.org/W3105487888","https://openalex.org/W3106247388","https://openalex.org/W3122882895","https://openalex.org/W6600086524","https://openalex.org/W6631533381","https://openalex.org/W6737246973","https://openalex.org/W6770538675"],"related_works":["https://openalex.org/W1977821353","https://openalex.org/W2030528692","https://openalex.org/W2951019941","https://openalex.org/W2132333350","https://openalex.org/W2064832889","https://openalex.org/W1808677817","https://openalex.org/W1968632075","https://openalex.org/W2264989289","https://openalex.org/W2056138576","https://openalex.org/W3099164702"],"abstract_inverted_index":{"Optimal":[0],"rates":[1],"for":[2,92],"achieving":[3],"an":[4,60],"information":[5,15],"processing":[6],"task":[7],"are":[8],"often":[9],"characterized":[10],"in":[11,37,45,86],"terms":[12],"of":[13,20,51,82,95],"regularized":[14,57,73],"measures.":[16],"In":[17],"many":[18],"cases":[19],"quantum":[21,83],"tasks,":[22],"we":[23,33,62,88],"do":[24],"not":[25],"know":[26],"how":[27],"to":[28,47,67],"compute":[29],"such":[30],"quantities.":[31,58],"Here,":[32],"exploit":[34],"the":[35,38,72,79,93,96],"symmetries":[36],"recently":[39],"introduced":[40],"divergence":[41,76],"<tex":[42],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[43],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\mathrm{D}^{\\#}$</tex>":[44],"order":[46],"obtain":[48,89],"a":[49,64],"hierarchy":[50],"semidefinite":[52],"programming":[53],"bounds":[54,70],"on":[55,71,78],"various":[56],"As":[59],"application,":[61],"describe":[63],"general":[65],"procedure":[66],"give":[68],"efficient":[69],"Umegaki":[74],"channel":[75],"and":[77,85],"classical":[80],"capacity":[81,94],"channels,":[84],"particular":[87],"slight":[90],"improvements":[91],"amplitude":[97],"damping":[98],"channel.":[99]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}