{"id":"https://openalex.org/W3091959632","doi":"https://doi.org/10.22331/q-2022-07-07-760","title":"Entangled subspaces and generic local state discrimination with pre-shared entanglement","display_name":"Entangled subspaces and generic local state discrimination with pre-shared entanglement","publication_year":2022,"publication_date":"2022-07-07","ids":{"openalex":"https://openalex.org/W3091959632","doi":"https://doi.org/10.22331/q-2022-07-07-760","mag":"3091959632"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-07-07-760","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-07-07-760","pdf_url":"https://quantum-journal.org/papers/q-2022-07-07-760/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-2022-07-07-760/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110715494","display_name":"Benjamin Lovitz","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":false,"raw_author_name":"Benjamin Lovitz","raw_affiliation_strings":["Institute for Quantum Computing and Department of Applied Mathematics, University of Waterloo, 200 University Ave W, Waterloo, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0002-2445-2701","affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing and Department of Applied Mathematics, University of Waterloo, 200 University Ave W, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","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"]},{"id":"https://openalex.org/I79817857","display_name":"University of Guelph","ror":"https://ror.org/01r7awg59","country_code":"CA","type":"education","lineage":["https://openalex.org/I79817857"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Nathaniel Johnston","raw_affiliation_strings":["Department of Mathematics & Computer Science, Mount Allison University, Canada","Department of Mathematics & Statistics, University of Guelph, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science, Mount Allison University, Canada","institution_ids":["https://openalex.org/I163902620"]},{"raw_affiliation_string":"Department of Mathematics & Statistics, University of Guelph, Canada","institution_ids":["https://openalex.org/I79817857"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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":1.526,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84802823,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"760","last_page":"760"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","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/T10020","display_name":"Quantum Information and Cryptography","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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9993000030517578,"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":0.9990000128746033,"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/linear-subspace","display_name":"Linear subspace","score":0.8171258568763733},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.7491490840911865},{"id":"https://openalex.org/keywords/multipartite-entanglement","display_name":"Multipartite entanglement","score":0.6090748906135559},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5670391917228699},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5499753355979919},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5109373927116394},{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.4735604524612427},{"id":"https://openalex.org/keywords/locc","display_name":"LOCC","score":0.42102959752082825},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39954620599746704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.364518404006958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3529142737388611},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3438054919242859},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32926619052886963},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3025931119918823},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2031746506690979},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2006947100162506},{"id":"https://openalex.org/keywords/squashed-entanglement","display_name":"Squashed entanglement","score":0.19036966562271118},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16775628924369812},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.1365918517112732}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8171258568763733},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7491490840911865},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.6090748906135559},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5670391917228699},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5499753355979919},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5109373927116394},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.4735604524612427},{"id":"https://openalex.org/C105141246","wikidata":"https://www.wikidata.org/wiki/Q6459475","display_name":"LOCC","level":4,"score":0.42102959752082825},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39954620599746704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.364518404006958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3529142737388611},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3438054919242859},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32926619052886963},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3025931119918823},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2031746506690979},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2006947100162506},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.19036966562271118},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16775628924369812},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.1365918517112732}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2022-07-07-760","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-07-07-760","pdf_url":"https://quantum-journal.org/papers/q-2022-07-07-760/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:2010.02876","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.02876","pdf_url":"https://arxiv.org/pdf/2010.02876","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:782ded36d4ce4f70b8ba23397ad44113","is_oa":true,"landing_page_url":"https://doaj.org/article/782ded36d4ce4f70b8ba23397ad44113","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 6, p 760 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-07-07-760","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-07-07-760","pdf_url":"https://quantum-journal.org/papers/q-2022-07-07-760/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":[{"id":"https://metadata.un.org/sdg/10","score":0.550000011920929,"display_name":"Reduced inequalities"},{"id":"https://metadata.un.org/sdg/16","score":0.4399999976158142,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G401905480","display_name":null,"funder_award_id":"RGPIN-2016-04003","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320314607","display_name":"Government of Ontario","ror":"https://ror.org/015pzp858"},{"id":"https://openalex.org/F4320322676","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68"},{"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/W3091959632.pdf","grobid_xml":"https://content.openalex.org/works/W3091959632.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W1498202005","https://openalex.org/W1601162463","https://openalex.org/W1963826206","https://openalex.org/W1968790908","https://openalex.org/W1974928788","https://openalex.org/W1979688176","https://openalex.org/W1982683415","https://openalex.org/W1986320748","https://openalex.org/W1986556555","https://openalex.org/W1993828178","https://openalex.org/W2005144372","https://openalex.org/W2007210013","https://openalex.org/W2011505575","https://openalex.org/W2012228195","https://openalex.org/W2018340769","https://openalex.org/W2040087419","https://openalex.org/W2042294953","https://openalex.org/W2057642314","https://openalex.org/W2072329172","https://openalex.org/W2089007061","https://openalex.org/W2093674341","https://openalex.org/W2096757697","https://openalex.org/W2098572895","https://openalex.org/W2102892751","https://openalex.org/W2138446095","https://openalex.org/W2140571499","https://openalex.org/W2145247939","https://openalex.org/W2150204240","https://openalex.org/W2153189603","https://openalex.org/W2159460748","https://openalex.org/W2264065105","https://openalex.org/W2277041928","https://openalex.org/W2326477138","https://openalex.org/W2467991826","https://openalex.org/W2522554434","https://openalex.org/W2773126525","https://openalex.org/W2776347567","https://openalex.org/W2804172638","https://openalex.org/W2904001778","https://openalex.org/W2951391437","https://openalex.org/W2963011522","https://openalex.org/W3043060850","https://openalex.org/W3098209015","https://openalex.org/W3098774862","https://openalex.org/W3099500986","https://openalex.org/W3103248090","https://openalex.org/W3106284467","https://openalex.org/W3150013328","https://openalex.org/W4240245484"],"related_works":["https://openalex.org/W2884328367","https://openalex.org/W3198607245","https://openalex.org/W2810999005","https://openalex.org/W2046373973","https://openalex.org/W4388127799","https://openalex.org/W4384112152","https://openalex.org/W2982528324","https://openalex.org/W2115183721","https://openalex.org/W1973929994","https://openalex.org/W1556130304"],"abstract_inverted_index":{"Walgate":[0],"and":[1,27,149,163,175],"Scott":[2],"have":[3,49],"determined":[4],"the":[5,46,55,75,82,89,108,141],"maximum":[6,142],"number":[7,38,71],"of":[8,23,57,78,84,110,144,154,173],"generic":[9,96],"pure":[10,67,85],"quantum":[11],"states":[12,86],"that":[13],"can":[14],"be":[15],"unambiguously":[16],"discriminated":[17],"by":[18,92],"an":[19,65,145],"LOCC":[20],"measurement":[21],"[Journal":[22],"Physics":[24],"A:":[25],"Mathematical":[26],"Theoretical,":[28],"41:375305,":[29],"08":[30],"2008].":[31],"In":[32],"this":[33,37,70,100],"work,":[34],"we":[35,114],"determine":[36,140],"in":[39,44,54,116],"a":[40,58,95],"more":[41],"general":[42],"setting":[43],"which":[45,113,125,168],"local":[47],"parties":[48],"access":[50],"to":[51,74,107,131,139,170],"pre-shared":[52],"entanglement":[53],"form":[56],"resource":[59,68,90,97],"state.":[60],"We":[61,120,135,157],"find":[62],"that,":[63],"for":[64,161],"arbitrary":[66],"state,":[69],"is":[72,104],"equal":[73],"Krull":[76],"dimension":[77,143],"(the":[79],"closure":[80],"of)":[81],"set":[83],"obtainable":[87],"from":[88],"state":[91,98,102],"SLOCC.":[93],"Surprisingly,":[94],"maximizes":[99],"number.Local":[101],"discrimination":[103],"closely":[105],"related":[106],"topic":[109],"entangled":[111,171],"subspaces,":[112,124,167],"study":[115],"its":[117],"own":[118],"right.":[119],"introduce":[121],"<mml:math":[122,146,165],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>r</mml:mi></mml:math>-entangled":[123,147,166],"naturally":[126],"generalize":[127],"previously":[128],"studied":[129],"spaces":[130],"higher":[132],"multipartite":[133],"entanglement.":[134],"use":[136],"algebraic-geometric":[137],"methods":[138],"subspace,":[148],"present":[150],"novel":[151],"explicit":[152],"constructions":[153],"such":[155],"spaces.":[156],"obtain":[158],"similar":[159],"results":[160],"symmetric":[162],"antisymmetric":[164],"correspond":[169],"subspaces":[172],"bosonic":[174],"fermionic":[176],"systems,":[177],"respectively.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2020-10-15T00:00:00"}