{"id":"https://openalex.org/W4410538418","doi":"https://doi.org/10.22331/q-2025-05-20-1750","title":"Universal adjointation of isometry operations using conversion of quantum supermaps","display_name":"Universal adjointation of isometry operations using conversion of quantum supermaps","publication_year":2025,"publication_date":"2025-05-20","ids":{"openalex":"https://openalex.org/W4410538418","doi":"https://doi.org/10.22331/q-2025-05-20-1750"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-05-20-1750","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-20-1750","pdf_url":"https://quantum-journal.org/papers/q-2025-05-20-1750/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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2025-05-20-1750/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085511769","display_name":"Satoshi Yoshida","orcid":"https://orcid.org/0000-0002-0521-5209"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoshi Yoshida","raw_affiliation_strings":["Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan"],"raw_orcid":"https://orcid.org/0000-0002-0521-5209","affiliations":[{"raw_affiliation_string":"Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088366292","display_name":"Akihito Soeda","orcid":"https://orcid.org/0000-0002-7502-5582"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]},{"id":"https://openalex.org/I200475212","display_name":"The Graduate University for Advanced Studies, SOKENDAI","ror":"https://ror.org/0516ah480","country_code":"JP","type":"education","lineage":["https://openalex.org/I200475212"]},{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akihito Soeda","raw_affiliation_strings":["Department of Informatics, School of Multidisciplinary Sciences, SOKENDAI (The Graduate University for Advanced Studies), 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan","Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan","Principles of Informatics Research Division, National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan"],"raw_orcid":"https://orcid.org/0000-0002-7502-5582","affiliations":[{"raw_affiliation_string":"Department of Informatics, School of Multidisciplinary Sciences, SOKENDAI (The Graduate University for Advanced Studies), 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan","institution_ids":["https://openalex.org/I200475212"]},{"raw_affiliation_string":"Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Principles of Informatics Research Division, National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089264671","display_name":"Mio Murao","orcid":"https://orcid.org/0000-0001-7861-1774"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mio Murao","raw_affiliation_strings":["Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan","Trans-scale Quantum Science Institute, The University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan"],"raw_orcid":"https://orcid.org/0000-0001-7861-1774","affiliations":[{"raw_affiliation_string":"Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Trans-scale Quantum Science Institute, The University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":5.2763,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.95081606,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"1750","last_page":"1750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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/T10020","display_name":"Quantum Information and Cryptography","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/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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9970999956130981,"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/isometry","display_name":"Isometry (Riemannian geometry)","score":0.6741563081741333},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4705500900745392},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4641498327255249},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42606133222579956},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.40875309705734253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.386676162481308},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33808034658432007},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3202017545700073},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.28172796964645386}],"concepts":[{"id":"https://openalex.org/C82457910","wikidata":"https://www.wikidata.org/wiki/Q740207","display_name":"Isometry (Riemannian geometry)","level":2,"score":0.6741563081741333},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4705500900745392},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4641498327255249},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42606133222579956},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.40875309705734253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.386676162481308},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33808034658432007},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3202017545700073},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.28172796964645386}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2025-05-20-1750","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-20-1750","pdf_url":"https://quantum-journal.org/papers/q-2025-05-20-1750/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:doaj.org/article:6334ac38c6bf4a4dba2b63c3546939e4","is_oa":true,"landing_page_url":"https://doaj.org/article/6334ac38c6bf4a4dba2b63c3546939e4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 9, p 1750 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2025-05-20-1750","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-20-1750","pdf_url":"https://quantum-journal.org/papers/q-2025-05-20-1750/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/G4743139486","display_name":null,"funder_award_id":"18K13467","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5382881681","display_name":null,"funder_award_id":"21H03394","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5742721575","display_name":null,"funder_award_id":"23KJ0734","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410538418.pdf","grobid_xml":"https://content.openalex.org/works/W4410538418.grobid-xml"},"referenced_works_count":103,"referenced_works":["https://openalex.org/W184658822","https://openalex.org/W1409569118","https://openalex.org/W1865148441","https://openalex.org/W1905286351","https://openalex.org/W1967073510","https://openalex.org/W1968293918","https://openalex.org/W1968493380","https://openalex.org/W1976865215","https://openalex.org/W1984047919","https://openalex.org/W1987621421","https://openalex.org/W1997342536","https://openalex.org/W1999913571","https://openalex.org/W2000407553","https://openalex.org/W2004647225","https://openalex.org/W2006596905","https://openalex.org/W2008878761","https://openalex.org/W2014177425","https://openalex.org/W2015775929","https://openalex.org/W2018616662","https://openalex.org/W2020726398","https://openalex.org/W2023487329","https://openalex.org/W2030545386","https://openalex.org/W2037880215","https://openalex.org/W2041922678","https://openalex.org/W2044607357","https://openalex.org/W2049471987","https://openalex.org/W2050480610","https://openalex.org/W2052742455","https://openalex.org/W2054369237","https://openalex.org/W2056953191","https://openalex.org/W2066459185","https://openalex.org/W2071849960","https://openalex.org/W2080043022","https://openalex.org/W2089731639","https://openalex.org/W2091150249","https://openalex.org/W2105453652","https://openalex.org/W2113152322","https://openalex.org/W2116102644","https://openalex.org/W2126550950","https://openalex.org/W2129872856","https://openalex.org/W2144193689","https://openalex.org/W2150843938","https://openalex.org/W2151919909","https://openalex.org/W2159566537","https://openalex.org/W2225169592","https://openalex.org/W2418959496","https://openalex.org/W2507244937","https://openalex.org/W2509670081","https://openalex.org/W2515755436","https://openalex.org/W2591783339","https://openalex.org/W2743304037","https://openalex.org/W2764262215","https://openalex.org/W2786366947","https://openalex.org/W2795600567","https://openalex.org/W2796937943","https://openalex.org/W2800660973","https://openalex.org/W2808319042","https://openalex.org/W2809984647","https://openalex.org/W2891585954","https://openalex.org/W2897499441","https://openalex.org/W2944397262","https://openalex.org/W2964010491","https://openalex.org/W2967676949","https://openalex.org/W2972281442","https://openalex.org/W2989564043","https://openalex.org/W2990961515","https://openalex.org/W3009952673","https://openalex.org/W3031825014","https://openalex.org/W3036685850","https://openalex.org/W3037687232","https://openalex.org/W3039791778","https://openalex.org/W3080617626","https://openalex.org/W3096756772","https://openalex.org/W3098309852","https://openalex.org/W3100364179","https://openalex.org/W3100657319","https://openalex.org/W3104919774","https://openalex.org/W3105598190","https://openalex.org/W3106040682","https://openalex.org/W3106441513","https://openalex.org/W3106467701","https://openalex.org/W3112101605","https://openalex.org/W3123904175","https://openalex.org/W3153805767","https://openalex.org/W3200623783","https://openalex.org/W3209999765","https://openalex.org/W3211748076","https://openalex.org/W4247494971","https://openalex.org/W4252767639","https://openalex.org/W4300923879","https://openalex.org/W4309469770","https://openalex.org/W4324140975","https://openalex.org/W4327939521","https://openalex.org/W4361985321","https://openalex.org/W4386863630","https://openalex.org/W4389487823","https://openalex.org/W4396628536","https://openalex.org/W4404090251","https://openalex.org/W6602023255","https://openalex.org/W6611049502","https://openalex.org/W6634326682","https://openalex.org/W6675775337","https://openalex.org/W6823520313"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2800721718","https://openalex.org/W3105866767","https://openalex.org/W4388634790","https://openalex.org/W2094009769","https://openalex.org/W2006723463","https://openalex.org/W2460347220","https://openalex.org/W2277203615","https://openalex.org/W2563363809","https://openalex.org/W2070562016"],"abstract_inverted_index":{"Identification":[0],"of":[1,4,37,87,119,123,154,164,166,195],"possible":[2],"transformations":[3,36,43],"quantum":[5,8,11,17,28,79,100],"objects":[6],"including":[7],"states":[9],"and":[10,49,78,89,102,107,158,177,201,212,226],"operations":[12,46],"is":[13,31,47,114,150,161,205],"indispensable":[14],"in":[15,26,198,223],"developing":[16],"algorithms.":[18],"Universal":[19],"transformations,":[20,24],"defined":[21],"as":[22],"input-independent":[23],"appear":[25],"various":[27],"applications.":[29],"Such":[30],"the":[32,85,103,120,124,151,155,162,167,192,209],"case":[33],"for":[34],"universal":[35,178,202,227],"unitary":[38,76,96],"operations.":[39],"However,":[40],"extending":[41],"these":[42],"to":[44,116,174,184],"non-unitary":[45],"nontrivial":[48],"largely":[50],"unresolved.":[51],"Addressing":[52],"this,":[53],"we":[54,129],"introduce":[55],"<mml:math":[56,141,148,159],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[57],"class=\"MJX-TeXAtom-ORD\"><mml:mtext":[58],"class=\"MJX-tex-mathit\"":[59],"mathvariant=\"italic\">isometry":[60],"adjointation</mml:mtext></mml:mrow></mml:math>":[61],"protocols":[62,98,197,217],"that":[63,191,213],"transform":[64],"an":[65,132,138],"input":[66,152],"isometry":[67,91,125,156,168,175,199,224],"operation":[68,77,157],"into":[69],"its":[70],"adjoint":[71],"operation,":[72],"which":[73],"include":[74],"both":[75],"state":[80],"transformations.":[81],"The":[82,170,188],"paper":[83],"details":[84],"construction":[86],"parallel":[88,135],"sequential":[90,221],"adjointation":[92,200],"protocols,":[93],"derived":[94],"from":[95],"inversion":[97,176,225],"using":[99],"combs":[101],"(dual)":[104],"Clebsch-Gordan":[105],"transforms,":[106],"achieving":[108,137],"optimal":[109,134,186,193],"approximation":[110,139],"error.":[111],"This":[112],"error":[113,140,179,203,228],"shown":[115],"be":[117],"independent":[118],"output":[121,210],"dimension":[122,153],"operation.":[126,169],"In":[127],"particular,":[128],"explicitly":[130],"obtain":[131],"asymptotically":[133],"protocol":[136],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>&amp;#x03F5;</mml:mi><mml:mo>=</mml:mo><mml:mi":[142],"mathvariant=\"normal\">&amp;#x0398;</mml:mi><mml:mo":[143],"stretchy=\"false\">(</mml:mo><mml:msup><mml:mi>d</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow":[144],"class=\"MJX-TeXAtom-ORD\"><mml:mo>/</mml:mo></mml:mrow><mml:mi>n</mml:mi><mml:mo":[145],"stretchy=\"false\">)</mml:mo></mml:math>,":[146],"where":[147],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>d</mml:mi></mml:math>":[149],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>n</mml:mi></mml:math>":[160],"number":[163],"calls":[165],"research":[171],"also":[172],"extends":[173],"detection,":[180],"employing":[181],"semidefinite":[182],"programming":[183],"assess":[185],"performances.":[187],"findings":[189],"suggest":[190],"performance":[194],"general":[196],"detection":[204],"not":[206],"dependent":[207],"on":[208],"dimension,":[211],"indefinite":[214],"causal":[215],"order":[216],"offer":[218],"advantages":[219],"over":[220],"ones":[222],"detection.":[229]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}