{"id":"https://openalex.org/W2491619703","doi":"https://doi.org/10.1088/1751-8121/aa6dc4","title":"Measurement-induced qudit geometric discord","display_name":"Measurement-induced qudit geometric discord","publication_year":2017,"publication_date":"2017-04-19","ids":{"openalex":"https://openalex.org/W2491619703","doi":"https://doi.org/10.1088/1751-8121/aa6dc4","mag":"2491619703"},"language":"en","primary_location":{"id":"doi:10.1088/1751-8121/aa6dc4","doi":"https://doi.org/10.1088/1751-8121/aa6dc4","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1751-8121/aa6dc4","pdf_url":"https://iopscience.iop.org/article/10.1088/1751-8121/aa6dc4/pdf","source":{"id":"https://openalex.org/S79244937","display_name":"Journal of Physics A Mathematical and Theoretical","issn_l":"1751-8113","issn":["1751-8113","1751-8121"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and Theoretical","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/1751-8121/aa6dc4/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049490053","display_name":"Piotr \u0141ugiewicz","orcid":"https://orcid.org/0000-0003-2343-0102","observed_orcids":["https://orcid.org/0000-0003-2343-0102"]},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr \u0141ugiewicz","raw_affiliation_strings":["University of Wroc\u0142aw","Institute of Theoretical Physics, University of Wroc\u0142aw, Plac Maxa Borna 9, 50-204 Wroc\u0142aw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wroc\u0142aw","institution_ids":["https://openalex.org/I219388962"]},{"raw_affiliation_string":"Institute of Theoretical Physics, University of Wroc\u0142aw, Plac Maxa Borna 9, 50-204 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032924386","display_name":"Andrzej Frydryszak","orcid":"https://orcid.org/0000-0002-3787-3185","observed_orcids":["https://orcid.org/0000-0002-3787-3185"]},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Andrzej Frydryszak","raw_affiliation_strings":["University of Wroc\u0142aw","Institute of Theoretical Physics, University of Wroc\u0142aw, Plac Maxa Borna 9, 50-204 Wroc\u0142aw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wroc\u0142aw","institution_ids":["https://openalex.org/I219388962"]},{"raw_affiliation_string":"Institute of Theoretical Physics, University of Wroc\u0142aw, Plac Maxa Borna 9, 50-204 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069702501","display_name":"Lech Jak\u00f3bczyk","orcid":"https://orcid.org/0000-0001-9803-7116","observed_orcids":["https://orcid.org/0000-0001-9803-7116"]},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Lech Jak\u00f3bczyk","raw_affiliation_strings":["University of Wroc\u0142aw","Institute of Theoretical Physics, University of Wroc\u0142aw, Plac Maxa Borna 9, 50-204 Wroc\u0142aw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wroc\u0142aw","institution_ids":["https://openalex.org/I219388962"]},{"raw_affiliation_string":"Institute of Theoretical Physics, University of Wroc\u0142aw, Plac Maxa Borna 9, 50-204 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069702501"],"corresponding_institution_ids":["https://openalex.org/I219388962"],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":null,"fwci":0.8118,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7602936,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"50","issue":"24","first_page":"245301","last_page":"245301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9067000150680542,"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":0.9067000150680542,"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":0.08330000191926956,"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"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.0007999999797903001,"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/geometric-quantum-discord","display_name":"geometric quantum discord","score":0.7710000276565552},{"id":"https://openalex.org/keywords/qudits","display_name":"qudits","score":0.9520000219345093},{"id":"https://openalex.org/keywords/trace-norm","display_name":"trace norm","score":0.8899999856948853},{"id":"https://openalex.org/keywords/quantum-correlations","display_name":"quantum correlations","score":0.8069999814033508},{"id":"https://openalex.org/keywords/qutrits","display_name":"qutrits","score":0.9089999794960022},{"id":"https://openalex.org/keywords/bipartite-quantum-systems","display_name":"bipartite quantum systems","score":0.7739999890327454},{"id":"https://openalex.org/keywords/state-space-geometry","display_name":"state space geometry","score":0.6510000228881836},{"id":"https://openalex.org/keywords/lie-groups","display_name":"Lie groups","score":0.9459999799728394}],"concepts":[{"id":"https://openalex.org/C56085360","wikidata":"https://www.wikidata.org/wiki/Q2300171","display_name":"Qutrit","level":4,"score":0.8327798843383789},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.7328882217407227},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6302592158317566},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5729663968086243},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.5012903213500977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5009329319000244},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4863489270210266},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.46862390637397766},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46307456493377686},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4430442750453949},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.3347586989402771},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3187597095966339},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30623865127563477},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2533153295516968},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.07976114749908447},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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":3,"locations":[{"id":"doi:10.1088/1751-8121/aa6dc4","doi":"https://doi.org/10.1088/1751-8121/aa6dc4","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1751-8121/aa6dc4","pdf_url":"https://iopscience.iop.org/article/10.1088/1751-8121/aa6dc4/pdf","source":{"id":"https://openalex.org/S79244937","display_name":"Journal of Physics A Mathematical and Theoretical","issn_l":"1751-8113","issn":["1751-8113","1751-8121"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and Theoretical","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1607.08753","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1607.08753","pdf_url":"https://arxiv.org/pdf/1607.08753","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1607.08753","doi":"https://doi.org/10.48550/arxiv.1607.08753","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1607.08753","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1088/1751-8121/aa6dc4","doi":"https://doi.org/10.1088/1751-8121/aa6dc4","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1751-8121/aa6dc4","pdf_url":"https://iopscience.iop.org/article/10.1088/1751-8121/aa6dc4/pdf","source":{"id":"https://openalex.org/S79244937","display_name":"Journal of Physics A Mathematical and Theoretical","issn_l":"1751-8113","issn":["1751-8113","1751-8121"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and Theoretical","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2491619703.pdf","grobid_xml":"https://content.openalex.org/works/W2491619703.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W659231075","https://openalex.org/W1487072817","https://openalex.org/W1512713374","https://openalex.org/W1519530038","https://openalex.org/W1536865027","https://openalex.org/W1571385165","https://openalex.org/W1983045379","https://openalex.org/W1983125724","https://openalex.org/W1984004232","https://openalex.org/W1985426276","https://openalex.org/W1996075932","https://openalex.org/W2000407553","https://openalex.org/W2003940061","https://openalex.org/W2004397624","https://openalex.org/W2011557044","https://openalex.org/W2011728878","https://openalex.org/W2030942582","https://openalex.org/W2034920898","https://openalex.org/W2046788269","https://openalex.org/W2053478324","https://openalex.org/W2061421380","https://openalex.org/W2062258079","https://openalex.org/W2062292260","https://openalex.org/W2064206864","https://openalex.org/W2075175704","https://openalex.org/W2081158146","https://openalex.org/W2082014836","https://openalex.org/W2089110262","https://openalex.org/W2099714091","https://openalex.org/W2128201901","https://openalex.org/W2144126354","https://openalex.org/W2156590677","https://openalex.org/W2220305002","https://openalex.org/W2320666705","https://openalex.org/W2345395937","https://openalex.org/W2405280374","https://openalex.org/W3100423326","https://openalex.org/W3102340246","https://openalex.org/W3105779082","https://openalex.org/W3122850579"],"related_works":["https://openalex.org/W2127529818","https://openalex.org/W1521001586","https://openalex.org/W2762192596","https://openalex.org/W1780910546","https://openalex.org/W2065867325","https://openalex.org/W3148224288","https://openalex.org/W2775588814","https://openalex.org/W2808162409","https://openalex.org/W2066854761","https://openalex.org/W3103950507"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2,42],"measurement-induced":[3],"geometric":[4],"discord":[5],"based":[6],"on":[7],"the":[8,44],"trace":[9],"norm":[10],"and":[11,74,89],"generalize":[12],"some":[13],"properties":[14],"known":[15],"for":[16,23,36,95],"qutrits":[17],"to":[18],"qudits.":[19],"Previous":[20],"preliminary":[21],"results":[22],"bipartite":[24],"qutrit":[25],"systems":[26,52,79],"(i.e.":[27],"d":[28,38,54,71,75],"=":[29,72,76],"3":[30,56],"systems)":[31],"are":[32,63,80],"here":[33],"strictly":[34],"proved":[35],"arbitrary":[37],".":[39],"The":[40,83],"present":[41],"supports":[43],"observations,":[45],"coming":[46],"also":[47],"from":[48],"other":[49],"approaches,":[50],"that":[51],"with":[53],"\u2a7e":[55],"show":[57],"similar":[58],"behaviour":[59],"when":[60],"quantum":[61],"correlations":[62],"concerned,":[64],"but":[65],"there":[66],"is":[67,93],"pronounced":[68],"difference":[69],"between":[70],"2":[73],"3.":[77],"Qubit":[78],"exceptionally":[81],"simple.":[82],"underlying":[84],"geometry":[85],"of":[86],"state":[87],"spaces":[88],"related":[90],"Lie":[91],"groups":[92],"responsible":[94],"this.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-08-23T00:00:00"}