{"id":"https://openalex.org/W2899146285","doi":"https://doi.org/10.22331/q-2021-05-01-448","title":"Certifying optimality for convex quantum channel optimization problems","display_name":"Certifying optimality for convex quantum channel optimization problems","publication_year":2021,"publication_date":"2021-05-01","ids":{"openalex":"https://openalex.org/W2899146285","doi":"https://doi.org/10.22331/q-2021-05-01-448","mag":"2899146285"},"language":"en","primary_location":{"id":"doi:10.22331/q-2021-05-01-448","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-05-01-448","pdf_url":"https://quantum-journal.org/papers/q-2021-05-01-448/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2021-05-01-448/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Bryan Coutts","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Bryan Coutts","raw_affiliation_strings":["Institute for Quantum Computing, University of Waterloo, Canada","School of Computer Science, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"School of Computer Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Mark Girard","orcid":"https://orcid.org/0000-0003-4862-9492"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mark Girard","raw_affiliation_strings":["Institute for Quantum Computing, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":null,"display_name":"John Watrous","orcid":"https://orcid.org/0000-0002-4263-9393"},"institutions":[{"id":"https://openalex.org/I109736498","display_name":"Canadian Institute for Advanced Research","ror":"https://ror.org/01sdtdd95","country_code":"CA","type":"facility","lineage":["https://openalex.org/I109736498"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"John Watrous","raw_affiliation_strings":["Canadian Institute for Advanced Research, Toronto, Canada","Institute for Quantum Computing, University of Waterloo, Canada","School of Computer Science, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Canadian Institute for Advanced Research, Toronto, Canada","institution_ids":["https://openalex.org/I109736498"]},{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"School of Computer Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.14,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.51163376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"5","issue":null,"first_page":"448","last_page":"448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.6668999791145325,"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":0.6668999791145325,"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":0.1437000036239624,"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":0.03579999879002571,"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/convex-optimization","display_name":"Convex optimization","score":0.5950000286102295},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5724999904632568},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5339000225067139},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5256999731063843},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4377000033855438},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4226999878883362},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.41110000014305115},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.41040000319480896},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.3970000147819519}],"concepts":[{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5950000286102295},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5724999904632568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5594000220298767},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5339000225067139},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5288000106811523},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5256999731063843},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4377000033855438},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4226999878883362},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.41110000014305115},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.41040000319480896},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3970000147819519},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.36579999327659607},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.3580999970436096},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.3361999988555908},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.33489999175071716},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.3077000081539154},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.30570000410079956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.289000004529953},{"id":"https://openalex.org/C186123792","wikidata":"https://www.wikidata.org/wiki/Q7390277","display_name":"SIC-POVM","level":5,"score":0.2888999879360199},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.288100004196167},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2827000021934509},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.26649999618530273},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.26589998602867126},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.2624000012874603},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.2549999952316284},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2021-05-01-448","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-05-01-448","pdf_url":"https://quantum-journal.org/papers/q-2021-05-01-448/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.13295","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.13295","pdf_url":"https://arxiv.org/pdf/1810.13295","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:doaj.org/article:a441791e68204e45a5d352e88c5957b3","is_oa":true,"landing_page_url":"https://doaj.org/article/a441791e68204e45a5d352e88c5957b3","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 5, p 448 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2021-05-01-448","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-05-01-448","pdf_url":"https://quantum-journal.org/papers/q-2021-05-01-448/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2165548363","display_name":null,"funder_award_id":"Canada","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G2505040309","display_name":null,"funder_award_id":"EP/M013472/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2899146285.pdf","grobid_xml":"https://content.openalex.org/works/W2899146285.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W182881619","https://openalex.org/W585133165","https://openalex.org/W653474616","https://openalex.org/W1409569118","https://openalex.org/W1947417802","https://openalex.org/W1948605327","https://openalex.org/W1989267405","https://openalex.org/W1993205278","https://openalex.org/W1993647396","https://openalex.org/W2041907204","https://openalex.org/W2066072386","https://openalex.org/W2068632288","https://openalex.org/W2099382096","https://openalex.org/W2134705177","https://openalex.org/W2140496956","https://openalex.org/W2142521644","https://openalex.org/W2161327939","https://openalex.org/W2189660299","https://openalex.org/W2260817540","https://openalex.org/W2268589176","https://openalex.org/W2291446607","https://openalex.org/W2341890912","https://openalex.org/W2611807022","https://openalex.org/W2786195700","https://openalex.org/W2791458179","https://openalex.org/W2804172638","https://openalex.org/W2990961515","https://openalex.org/W3038125210","https://openalex.org/W3100939261","https://openalex.org/W4248081355","https://openalex.org/W4250589301","https://openalex.org/W4255333822","https://openalex.org/W4295845604"],"related_works":[],"abstract_inverted_index":{"We":[0,86],"identify":[1],"necessary":[2],"and":[3,109],"sufficient":[4],"conditions":[5,36,77,90],"for":[6,13,37,72],"a":[7,32,49,53,62],"quantum":[8,29,46,110],"channel":[9],"to":[10,79,94],"be":[11,92],"optimal":[12],"any":[14],"convex":[15,38],"optimization":[16,21,39,74],"problem":[17],"in":[18],"which":[19],"the":[20,25,42,66,80,105],"is":[22],"taken":[23],"over":[24,41],"set":[26,43],"of":[27,31,44,48,56,68],"all":[28,45],"channels":[30],"fixed":[33,54],"size.":[34],"Optimality":[35],"problems":[40,98],"measurements":[47],"given":[50],"system":[51],"having":[52,99],"number":[55],"measurement":[57,73,83],"outcomes":[58],"are":[59],"obtained":[60],"as":[61],"special":[63],"case.":[64],"In":[65],"case":[67],"linear":[69],"objective":[70,101],"functions":[71,102],"problems,":[75],"our":[76,89],"reduce":[78],"well-known":[81],"Holevo-Yuen-Kennedy-Lax":[82],"optimality":[84],"conditions.":[85],"illustrate":[87],"how":[88],"can":[91],"applied":[93],"various":[95],"state":[96],"transformation":[97],"non-linear":[100],"based":[103],"on":[104],"fidelity,":[106],"trace":[107],"distance,":[108],"relative":[111],"entropy.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2018-11-09T00:00:00"}
