{"id":"https://openalex.org/W286487907","doi":"https://doi.org/10.26421/qic16.15-16-4","title":"Quantum Latin squares and unitary error bases","display_name":"Quantum Latin squares and unitary error bases","publication_year":2016,"publication_date":"2016-11-01","ids":{"openalex":"https://openalex.org/W286487907","doi":"https://doi.org/10.26421/qic16.15-16-4","mag":"286487907"},"language":"en","primary_location":{"id":"doi:10.26421/qic16.15-16-4","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic16.15-16-4","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information and Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1504.02715","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023280775","display_name":"Benjamin Musto","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Benjamin Musto","raw_affiliation_strings":["University of Oxford"],"affiliations":[{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017943933","display_name":"Jamie Vicary","orcid":"https://orcid.org/0000-0002-0998-1701"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jamie Vicary","raw_affiliation_strings":["University of Oxford"],"affiliations":[{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023280775"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":1.69126127,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.92924887,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"16","issue":"15&16","first_page":"1318","last_page":"1332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.6637087464332581},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.624556303024292},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.581977903842926},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5197246074676514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4475911557674408},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.41905394196510315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41622602939605713},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3810690939426422},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3715282380580902},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3649119436740875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2521780729293823},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.198674738407135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14154794812202454},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07852214574813843}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6637087464332581},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.624556303024292},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.581977903842926},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5197246074676514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4475911557674408},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.41905394196510315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41622602939605713},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3810690939426422},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3715282380580902},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3649119436740875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2521780729293823},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.198674738407135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14154794812202454},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07852214574813843},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.26421/qic16.15-16-4","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic16.15-16-4","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1504.02715","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.02715","pdf_url":"https://arxiv.org/pdf/1504.02715","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":"","raw_type":"text"},{"id":"mag:286487907","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1504.02715.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:ora.ox.ac.uk:uuid:d6de046d-30f1-4a6f-a857-173989a4e9a2","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:d6de046d-30f1-4a6f-a857-173989a4e9a2","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:f7f34679-cc83-4a08-ba71-56c402f37bd4","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:f7f34679-cc83-4a08-ba71-56c402f37bd4","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Conference item"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/aa22c349-486b-40c9-89d7-64b87c5a36a0","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/aa22c349-486b-40c9-89d7-64b87c5a36a0","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Musto, B & Vicary, J 2016, 'Quantum Latin squares and unitary error bases', Quantum Information and Computation, vol. 16, no. 15-16, pp. 1318-1332. < https://www.cs.ox.ac.uk/qpl2015/preproceedings/55.pdf >","raw_type":"article"},{"id":"doi:10.48550/arxiv.1504.02715","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1504.02715","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1504.02715","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.02715","pdf_url":"https://arxiv.org/pdf/1504.02715","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1573484378","https://openalex.org/W1591209737","https://openalex.org/W1604511010","https://openalex.org/W1654772491","https://openalex.org/W1978553093","https://openalex.org/W1983900632","https://openalex.org/W2023565013","https://openalex.org/W2088208350","https://openalex.org/W2099579535","https://openalex.org/W2102769185","https://openalex.org/W2111925490","https://openalex.org/W2167927798","https://openalex.org/W2950874339","https://openalex.org/W2950993906","https://openalex.org/W2951361852","https://openalex.org/W3100900940","https://openalex.org/W3104500086"],"related_works":["https://openalex.org/W3105872779","https://openalex.org/W3000742133","https://openalex.org/W2591787302","https://openalex.org/W1625315293","https://openalex.org/W3104433882","https://openalex.org/W2138262447","https://openalex.org/W1946547922","https://openalex.org/W2120296961","https://openalex.org/W2006197471","https://openalex.org/W2557720759","https://openalex.org/W1763467883","https://openalex.org/W1546761470","https://openalex.org/W2018655598","https://openalex.org/W2285996625","https://openalex.org/W2028406173","https://openalex.org/W3103046569","https://openalex.org/W2128762917","https://openalex.org/W1573997330","https://openalex.org/W3162033670","https://openalex.org/W2964116854"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,109,118],"introduce":[4],"quantum":[5,9,21,38,66,84],"Latin":[6,14,67],"squares,":[7,15],"combinatorial":[8],"objects":[10],"which":[11,40,117],"generalize":[12],"classical":[13],"and":[16,52,93,105],"investigate":[17],"their":[18],"applications":[19,29],"in":[20,37,83],"computer":[22],"science.":[23],"Our":[24],"main":[25],"results":[26],"are":[27],"on":[28],"to":[30],"unitary":[31],"error":[32,53],"bases":[33],"(UEBs),":[34],"basic":[35],"structures":[36],"information":[39],"lie":[41],"at":[42],"the":[43,103],"heart":[44],"of":[45,125],"procedures":[46],"such":[47],"as":[48],"teleportation,":[49],"dense":[50],"coding":[51],"correction.":[54],"We":[55,95],"present":[56],"a":[57,62,65,80,112],"new":[58,99],"method":[59],"for":[60,76],"constructing":[61],"UEB":[63,113],"from":[64,123],"square":[68],"equipped":[69],"with":[70,86],"extra":[71],"data.":[72],"Developing":[73],"construction":[74],"techniques":[75],"UEBs":[77],"has":[78],"been":[79],"major":[81],"activity":[82],"computation,":[85],"three":[87],"primary":[88],"methods":[89],"proposed:":[90],"shift-and-multiply,":[91],"Hadamard,":[92],"grouptheoretic.":[94],"show":[96],"that":[97],"our":[98,115],"approach":[100],"simultaneously":[101],"generalizes":[102],"shift-andmultiply":[104],"Hadamard":[106],"methods.":[107,128],"Furthermore,":[108],"explicitly":[110],"construct":[111],"using":[114],"technique":[116],"prove":[119],"cannot":[120],"be":[121],"obtained":[122],"any":[124],"these":[126],"existing":[127]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}
