{"id":"https://openalex.org/W2896034331","doi":null,"title":"Reversing unknown quantum transformations: A universal protocol for inverting general unitary operations","display_name":"Reversing unknown quantum transformations: A universal protocol for inverting general unitary operations","publication_year":2018,"publication_date":"2018-10-16","ids":{"openalex":"https://openalex.org/W2896034331","mag":"2896034331"},"language":"en","primary_location":{"id":"mag:2896034331","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1810.06944.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.06944.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088161124","display_name":"Marco T\u00falio Quintino","orcid":"https://orcid.org/0000-0003-1332-3477","observed_orcids":["https://orcid.org/0000-0003-1332-3477"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marco T\u00falio Quintino","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1332-3477","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071133460","display_name":"Qingxiuxiong Dong","orcid":"https://orcid.org/0000-0002-2257-115X","observed_orcids":["https://orcid.org/0000-0002-2257-115X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qingxiuxiong Dong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006880266","display_name":"Atsushi Shimbo","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Atsushi Shimbo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088366292","display_name":"Akihito Soeda","orcid":"https://orcid.org/0000-0002-7502-5582","observed_orcids":["https://orcid.org/0000-0002-7502-5582"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akihito Soeda","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-7502-5582","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089264671","display_name":"Mio Murao","orcid":"https://orcid.org/0000-0001-7861-1774","observed_orcids":["https://orcid.org/0000-0001-7861-1774"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mio Murao","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7861-1774","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.6865000128746033,"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":0.6865000128746033,"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":0.3093000054359436,"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":0.0017999999690800905,"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/unitary-operations","display_name":"unitary operations","score":0.7799999713897705},{"id":"https://openalex.org/keywords/adaptive-quantum-circuits","display_name":"adaptive quantum circuits","score":0.6230000257492065},{"id":"https://openalex.org/keywords/indefinite-causal-order","display_name":"indefinite causal order","score":0.9860000014305115},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"convex optimization","score":0.6370000243186951},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"semidefinite programming","score":0.9779999852180481}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.7123703360557556},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6326988935470581},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.5778625011444092},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5778122544288635},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.5593934655189514},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5150670409202576},{"id":"https://openalex.org/C179371143","wikidata":"https://www.wikidata.org/wiki/Q2495534","display_name":"Unitary transformation","level":3,"score":0.44962483644485474},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4451886713504791},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.43931132555007935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.424961656332016},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.4234689772129059},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.41616207361221313},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37750011682510376},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2178734838962555},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.20752665400505066},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20004808902740479},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1194705069065094},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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":1,"locations":[{"id":"mag:2896034331","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1810.06944.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2896034331","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1810.06944.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2989564043","https://openalex.org/W2972281442","https://openalex.org/W4386863630","https://openalex.org/W3039788492","https://openalex.org/W7161856186","https://openalex.org/W4361985321","https://openalex.org/W3200623783","https://openalex.org/W4392617656","https://openalex.org/W4417065366","https://openalex.org/W4414989815"],"abstract_inverted_index":{"Given":[0],"a":[1,5,24,88,104,162],"quantum":[2,28,67,72],"gate":[3],"implementing":[4],"$d$-dimensional":[6],"unitary":[7,99,170],"operation":[8],"$U_d$,":[9],"without":[10],"any":[11],"specific":[12],"description":[13],"but":[14],"$d$,":[15],"and":[16,93,102,118,134],"permitted":[17],"to":[18],"use":[19],"$k$":[20,117],"times,":[21],"we":[22,143],"present":[23,87],"universal":[25,98],"probabilistic":[26],"heralded":[27],"circuit":[29],"that":[30,149],"implements":[31],"the":[32,52,111,146,168],"exact":[33,62],"inverse":[34],"$U_d^{-1}$,":[35],"whose":[36,108],"failure":[37],"probability":[38,114],"decays,":[39],"exponentially":[40],"in":[41,161],"$k$.":[42],"The":[43,120],"protocol":[44],"employs":[45],"an":[46,155],"adaptive":[47],"strategy,":[48],"proven":[49,59],"necessary":[50,60],"for":[51,61,115,129,137,145],"exponential":[53],"performance.":[54],"It":[55],"requires":[56],"$k\\geq":[57,80],"d-1$,":[58],"implementation":[63],"of":[64,91,167],"$U_d^{-1}$":[65],"with":[66,74],"circuits.":[68],"Moreover,":[69],"even":[70],"when":[71,132],"circuits":[73,153],"indefinite":[75,150],"causal":[76,151],"order":[77,152],"are":[78,83,123],"allowed,":[79],"d-1$":[81],"uses":[82,166],"required.":[84],"We":[85],"then":[86],"finite":[89],"set":[90],"linear":[92],"positive":[94],"semidefinite":[95,126],"constraints":[96],"characterizing":[97],"inversion":[100],"protocols":[101],"formulate":[103],"convex":[105],"optimization":[106],"problem":[107],"solution":[109],"is":[110],"maximum":[112],"success":[113],"given":[116],"$d$.":[119],"optimal":[121],"values":[122],"computed":[124],"using":[125],"programming":[127],"solvers":[128],"$k\\leq":[130,135],"3$":[131],"$d=2$":[133],"2$":[136],"$d=3$.":[138],"With":[139],"this":[140],"numerical":[141],"approach":[142],"show":[144],"first":[147],"time":[148],"provide":[154],"advantage":[156],"over":[157],"causally":[158],"ordered":[159],"ones":[160],"task":[163],"involving":[164],"multiple":[165],"same":[169],"operation.":[171]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2018-10-26T00:00:00"}