{"id":"https://openalex.org/W2516302962","doi":"https://doi.org/10.1007/s11128-016-1403-z","title":"Trace distance measure of coherence for a class of qudit states","display_name":"Trace distance measure of coherence for a class of qudit states","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2516302962","doi":"https://doi.org/10.1007/s11128-016-1403-z","mag":"2516302962"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-016-1403-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-016-1403-z","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1610.07330","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100722361","display_name":"Zhen Wang","orcid":"https://orcid.org/0000-0002-9182-4421"},"institutions":[{"id":"https://openalex.org/I4210127530","display_name":"Jining University","ror":"https://ror.org/037rvh518","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210127530"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Wang","raw_affiliation_strings":["Department of Mathematics, Jining University, Qufu, 273155, China","School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China","Department of Mathematics, Jining University, Qufu 273155, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jining University, Qufu, 273155, China","institution_ids":["https://openalex.org/I4210127530"]},{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Department of Mathematics, Jining University, Qufu 273155, China","institution_ids":["https://openalex.org/I4210127530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100393662","display_name":"Yan-Ling Wang","orcid":"https://orcid.org/0000-0002-9498-5087"},"institutions":[{"id":"https://openalex.org/I4210127530","display_name":"Jining University","ror":"https://ror.org/037rvh518","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210127530"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Wang","raw_affiliation_strings":["Department of Mathematics, Jining University, Qufu, 273155, China","School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China","Department of Mathematics, South China University of Technology, Guangzhou 510640, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jining University, Qufu, 273155, China","institution_ids":["https://openalex.org/I4210127530"]},{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Department of Mathematics, South China University of Technology, Guangzhou 510640, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100393662","display_name":"Yan-Ling Wang","orcid":"https://orcid.org/0000-0002-9498-5087"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan-Ling Wang","raw_affiliation_strings":["Department of Mathematics, South China University of Technology, Guangzhou, 510640, China","School of Mathematical Sciences, Capital Normal University, Beijing 100048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, South China University of Technology, Guangzhou, 510640, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055176786","display_name":"Zhi\u2010Xi Wang","orcid":"https://orcid.org/0000-0002-8341-5142"},"institutions":[{"id":"https://openalex.org/I4210127530","display_name":"Jining University","ror":"https://ror.org/037rvh518","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210127530"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhi-Xi Wang","raw_affiliation_strings":["Department of Mathematics, Jining University, Qufu, 273155, China","School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jining University, Qufu, 273155, China","institution_ids":["https://openalex.org/I4210127530"]},{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055176786","display_name":"Zhi\u2010Xi Wang","orcid":"https://orcid.org/0000-0002-8341-5142"},"institutions":[{"id":"https://openalex.org/I4210127530","display_name":"Jining University","ror":"https://ror.org/037rvh518","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210127530"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Xi Wang","raw_affiliation_strings":["Department of Mathematics, Jining University, Qufu, 273155, China","School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jining University, Qufu, 273155, China","institution_ids":["https://openalex.org/I4210127530"]},{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China","institution_ids":["https://openalex.org/I96852419"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055176786","https://openalex.org/A5100393662"],"corresponding_institution_ids":["https://openalex.org/I4210127530","https://openalex.org/I90610280","https://openalex.org/I96852419"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.6198,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.89945808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"11","first_page":"4641","last_page":"4648"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9987999796867371,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.998199999332428,"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/trace-distance","display_name":"Trace distance","score":0.8690906763076782},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.8107293844223022},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.796680212020874},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.693922758102417},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5867108702659607},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.5267255306243896},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5073975920677185},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.42022082209587097},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.419899046421051},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.40014490485191345},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3651416003704071},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24982616305351257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19302186369895935},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11560463905334473}],"concepts":[{"id":"https://openalex.org/C105063144","wikidata":"https://www.wikidata.org/wiki/Q7831154","display_name":"Trace distance","level":4,"score":0.8690906763076782},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.8107293844223022},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.796680212020874},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.693922758102417},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5867108702659607},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.5267255306243896},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5073975920677185},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42022082209587097},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.419899046421051},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.40014490485191345},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3651416003704071},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24982616305351257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19302186369895935},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11560463905334473},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11128-016-1403-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-016-1403-z","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1610.07330","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.07330","pdf_url":"https://arxiv.org/pdf/1610.07330","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,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1610.07330","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.07330","pdf_url":"https://arxiv.org/pdf/1610.07330","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,"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"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5099999904632568}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W608933645","https://openalex.org/W1488435683","https://openalex.org/W1619293558","https://openalex.org/W1784559371","https://openalex.org/W1964667568","https://openalex.org/W1972927208","https://openalex.org/W1988248835","https://openalex.org/W1996134386","https://openalex.org/W2048691322","https://openalex.org/W2056471637","https://openalex.org/W2059846772","https://openalex.org/W2079294052","https://openalex.org/W2079980148","https://openalex.org/W2106837901","https://openalex.org/W2114659717","https://openalex.org/W2228259595","https://openalex.org/W2253343217","https://openalex.org/W2288456126","https://openalex.org/W2610857016","https://openalex.org/W3037333478","https://openalex.org/W3037572308","https://openalex.org/W3037637275","https://openalex.org/W3103066831","https://openalex.org/W4229706427"],"related_works":["https://openalex.org/W1515451151","https://openalex.org/W2892699332","https://openalex.org/W2904945257","https://openalex.org/W2253343217","https://openalex.org/W2114826682","https://openalex.org/W2303865558","https://openalex.org/W2952797543","https://openalex.org/W2158230813","https://openalex.org/W2018336966","https://openalex.org/W2092066661"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-24T07:32:12.397491","created_date":"2025-10-10T00:00:00"}