{"id":"https://openalex.org/W4407132775","doi":"https://doi.org/10.22331/q-2025-02-04-1622","title":"Tight bounds for antidistinguishability and circulant sets of pure quantum states","display_name":"Tight bounds for antidistinguishability and circulant sets of pure quantum states","publication_year":2025,"publication_date":"2025-02-04","ids":{"openalex":"https://openalex.org/W4407132775","doi":"https://doi.org/10.22331/q-2025-02-04-1622"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-02-04-1622","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-02-04-1622","pdf_url":"https://quantum-journal.org/papers/q-2025-02-04-1622/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-2025-02-04-1622/pdf/","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008998456","display_name":"Nathaniel Johnston","orcid":"https://orcid.org/0000-0002-7456-1447"},"institutions":[{"id":"https://openalex.org/I163902620","display_name":"Mount Allison University","ror":"https://ror.org/03grc6f14","country_code":"CA","type":"education","lineage":["https://openalex.org/I163902620"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Nathaniel Johnston","raw_affiliation_strings":["Department of Mathematics & Computer Science, Mount Allison University, Sackville, NB, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science, Mount Allison University, Sackville, NB, Canada","institution_ids":["https://openalex.org/I163902620"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088433578","display_name":"Vincent M. Russo","orcid":"https://orcid.org/0000-0002-8952-8981"},"institutions":[{"id":"https://openalex.org/I4210164358","display_name":"Unitary Fund","ror":"https://ror.org/04wxag453","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210164358"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vincent Russo","raw_affiliation_strings":["Unitary Fund"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unitary Fund","institution_ids":["https://openalex.org/I4210164358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081134036","display_name":"Jamie Sikora","orcid":"https://orcid.org/0000-0001-8203-9133"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jamie Sikora","raw_affiliation_strings":["Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008998456"],"corresponding_institution_ids":["https://openalex.org/I163902620"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":15.2457,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.98668806,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"9","issue":null,"first_page":"1622","last_page":"1622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9883000254631042,"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":0.9883000254631042,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.8236023187637329},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5751548409461975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4296417832374573},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34351420402526855},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3421292304992676},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3239961862564087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3220927119255066},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.24037665128707886}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8236023187637329},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5751548409461975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4296417832374573},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34351420402526855},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3421292304992676},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3239961862564087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3220927119255066},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24037665128707886}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2025-02-04-1622","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-02-04-1622","pdf_url":"https://quantum-journal.org/papers/q-2025-02-04-1622/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:abc8ac636c1447359775d011c7e0fe36","is_oa":false,"landing_page_url":"https://doaj.org/article/abc8ac636c1447359775d011c7e0fe36","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 9, p 1622 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2025-02-04-1622","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-02-04-1622","pdf_url":"https://quantum-journal.org/papers/q-2025-02-04-1622/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/G4573790965","display_name":null,"funder_award_id":"RGPIN-2022-04098","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407132775.pdf","grobid_xml":"https://content.openalex.org/works/W4407132775.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W24440755","https://openalex.org/W1757851892","https://openalex.org/W1966949903","https://openalex.org/W1970190854","https://openalex.org/W1973666705","https://openalex.org/W1973929994","https://openalex.org/W1974293884","https://openalex.org/W2004692749","https://openalex.org/W2017797024","https://openalex.org/W2024988103","https://openalex.org/W2029587304","https://openalex.org/W2035952724","https://openalex.org/W2041196579","https://openalex.org/W2041907204","https://openalex.org/W2050562544","https://openalex.org/W2051939880","https://openalex.org/W2063443840","https://openalex.org/W2079503315","https://openalex.org/W2085767576","https://openalex.org/W2086861292","https://openalex.org/W2087191943","https://openalex.org/W2108241436","https://openalex.org/W2142505520","https://openalex.org/W2153095366","https://openalex.org/W2156783697","https://openalex.org/W2177264089","https://openalex.org/W2198247122","https://openalex.org/W2528744766","https://openalex.org/W2738838909","https://openalex.org/W2799036217","https://openalex.org/W2804172638","https://openalex.org/W2921287905","https://openalex.org/W2938819202","https://openalex.org/W2949106161","https://openalex.org/W2964181181","https://openalex.org/W2966996874","https://openalex.org/W2985944953","https://openalex.org/W2990961515","https://openalex.org/W3003896168","https://openalex.org/W3042085305","https://openalex.org/W3045996337","https://openalex.org/W3046379795","https://openalex.org/W3100524017","https://openalex.org/W3103959771","https://openalex.org/W3104209239","https://openalex.org/W3104437209","https://openalex.org/W3112132453","https://openalex.org/W3134100681","https://openalex.org/W3158583084","https://openalex.org/W3161015373","https://openalex.org/W3164676945","https://openalex.org/W4206459832","https://openalex.org/W4213028091","https://openalex.org/W4250589301","https://openalex.org/W4309326120","https://openalex.org/W4361001176","https://openalex.org/W4399361726"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2117159910","https://openalex.org/W2335757200","https://openalex.org/W2049656902","https://openalex.org/W2044900700","https://openalex.org/W2549019542","https://openalex.org/W2139378013","https://openalex.org/W2312260908","https://openalex.org/W2394404719","https://openalex.org/W2964130583"],"abstract_inverted_index":{"A":[0],"set":[1,36,99,127,167],"of":[2,34,37,47,71,80],"pure":[3,40],"quantum":[4,61],"states":[5,41],"is":[6,42,105,137,177],"said":[7],"to":[8,21,44,74],"be":[9,129,169],"antidistinguishable":[10],"if":[11,111,149],"upon":[12],"sampling":[13],"one":[14],"at":[15],"random,":[16],"there":[17],"exists":[18],"a":[19,35,45,58,68,77,98,101,145],"measurement":[20],"perfectly":[22],"determine":[23],"some":[24],"state":[25],"that":[26,32,64,93,110,134,148,174],"was":[27],"not":[28,97],"sampled.":[29],"We":[30,107,142],"show":[31,109,133,173],"antidistinguishability":[33],"<mml:math":[38,52,118,140,158,181],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>n</mml:mi></mml:math>":[39],"equivalent":[43],"property":[46],"its":[48],"Gram":[49,103],"matrix":[50,104],"called":[51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mo":[53,159],"stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo>&amp;#x2212;</mml:mo><mml:mn>1</mml:mn><mml:mo":[54,163],"stretchy=\"false\">)</mml:mo></mml:math>-incoherence,":[55],"thus":[56],"establishing":[57],"connection":[59],"with":[60,100],"resource":[62],"theories":[63],"lets":[65],"us":[66],"apply":[67],"wide":[69],"variety":[70],"new":[72],"tools":[73],"antidistinguishability.":[75],"As":[76],"particular":[78],"application":[79],"our":[81],"result,":[82],"we":[83,132,172],"present":[84],"an":[85],"explicit":[86],"formula":[87],"(not":[88],"involving":[89],"any":[90],"semidefinite":[91],"programming)":[92],"determines":[94],"whether":[95],"or":[96],"circulant":[102],"antidistinguishable.":[106],"also":[108,143],"all":[112,150,180],"inner":[113,152],"products":[114,153],"are":[115,154],"smaller":[116],"than":[117,157],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msqrt><mml:mo":[119],"stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo>&amp;#x2212;</mml:mo><mml:mn>2</mml:mn><mml:mo":[120,160],"stretchy=\"false\">)</mml:mo><mml:mrow":[121,161],"class=\"MJX-TeXAtom-ORD\"><mml:mo>/</mml:mo></mml:mrow><mml:mo":[122,162],"stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo>&amp;#x2212;</mml:mo><mml:mn>2</mml:mn><mml:mo":[123],"stretchy=\"false\">)</mml:mo></mml:msqrt></mml:math>":[124],"then":[125,165],"the":[126,151,166],"must":[128],"antidistinguishable,":[130,170],"and":[131,171],"this":[135,175],"bound":[136,176],"tight":[138,178],"when":[139],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>n</mml:mi><mml:mo>&amp;#x2264;</mml:mo><mml:mn>4</mml:mn></mml:math>.":[141],"give":[144],"simpler":[146],"proof":[147],"strictly":[155],"larger":[156],"stretchy=\"false\">)</mml:mo></mml:math>,":[164],"cannot":[168],"for":[179],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>n</mml:mi></mml:math>.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
