{"id":"https://openalex.org/W2072383706","doi":"https://doi.org/10.1088/1367-2630/15/5/053006","title":"Operational geometric phase for mixed quantum states","display_name":"Operational geometric phase for mixed quantum states","publication_year":2013,"publication_date":"2013-05-08","ids":{"openalex":"https://openalex.org/W2072383706","doi":"https://doi.org/10.1088/1367-2630/15/5/053006","mag":"2072383706"},"language":"en","primary_location":{"id":"doi:10.1088/1367-2630/15/5/053006","doi":"https://doi.org/10.1088/1367-2630/15/5/053006","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/15/5/053006","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/15/5/053006/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://iopscience.iop.org/article/10.1088/1367-2630/15/5/053006/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153143770","display_name":"O Andersson","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"O Andersson","raw_affiliation_strings":["Department of Physics, Stockholm University, SE-10691 Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Stockholm University, SE-10691 Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063768884","display_name":"Hoshang Heydari","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"H Heydari","raw_affiliation_strings":["Department of Physics, Stockholm University, SE-10691 Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Stockholm University, SE-10691 Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161593684"],"apc_list":{"value":2610,"currency":"USD","value_usd":2610},"apc_paid":{"value":2610,"currency":"USD","value_usd":2610},"fwci":1.885,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.85378965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"5","first_page":"053006","last_page":"053006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9023000001907349,"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"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9023000001907349,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.031599998474121094,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.020400000736117363,"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/berry-phase","display_name":"Berry phase","score":0.8610000014305115},{"id":"https://openalex.org/keywords/mixed-quantum-states","display_name":"mixed quantum states","score":0.9940000176429749},{"id":"https://openalex.org/keywords/holonomy","display_name":"holonomy","score":0.8610000014305115},{"id":"https://openalex.org/keywords/degenerate-states","display_name":"degenerate states","score":0.718999981880188},{"id":"https://openalex.org/keywords/unitary-evolution","display_name":"unitary evolution","score":0.8820000290870667},{"id":"https://openalex.org/keywords/quantum-interferometry","display_name":"quantum interferometry","score":0.9399999976158142}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9024999737739563},{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.7121999859809875},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.6201000213623047},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6176999807357788},{"id":"https://openalex.org/C80891386","wikidata":"https://www.wikidata.org/wiki/Q7269084","display_name":"Quantum phases","level":4,"score":0.6065000295639038},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4708000123500824},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.46459999680519104},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.44519999623298645},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4293999969959259},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.42669999599456787},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4253999888896942},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.41029998660087585},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.40220001339912415},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.3675000071525574},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.362199991941452},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3163999915122986},{"id":"https://openalex.org/C59500034","wikidata":"https://www.wikidata.org/wiki/Q1464944","display_name":"Quantum Fourier transform","level":5,"score":0.31610000133514404},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.29910001158714294},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.29760000109672546},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.2962999939918518},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2924000024795532},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2849999964237213},{"id":"https://openalex.org/C70335271","wikidata":"https://www.wikidata.org/wiki/Q7098881","display_name":"Optical phase space","level":5,"score":0.28360000252723694},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.28049999475479126},{"id":"https://openalex.org/C53250935","wikidata":"https://www.wikidata.org/wiki/Q2122184","display_name":"Quantum geometry","level":5,"score":0.28029999136924744},{"id":"https://openalex.org/C179371143","wikidata":"https://www.wikidata.org/wiki/Q2495534","display_name":"Unitary transformation","level":3,"score":0.2784999907016754},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.2759000062942505},{"id":"https://openalex.org/C72190298","wikidata":"https://www.wikidata.org/wiki/Q2118253","display_name":"Quantum phase transition","level":3,"score":0.27410000562667847},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.265500009059906}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1088/1367-2630/15/5/053006","doi":"https://doi.org/10.1088/1367-2630/15/5/053006","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/15/5/053006","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/15/5/053006/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1302.1838","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1302.1838","pdf_url":"https://arxiv.org/pdf/1302.1838","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:023354c14942462e9d8c0183fc858c0f","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/023354c14942462e9d8c0183fc858c0f","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,"listed_in":[],"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":"New Journal of Physics, Vol 15, Iss 5, p 053006 (2013)","raw_type":"article"},{"id":"doi:10.48550/arxiv.1302.1838","doi":"https://doi.org/10.48550/arxiv.1302.1838","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1302.1838","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":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1088/1367-2630/15/5/053006","doi":"https://doi.org/10.1088/1367-2630/15/5/053006","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/15/5/053006","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/15/5/053006/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5680834664","display_name":"Quantum entanglement with applications in the field of quantum information and computation","funder_award_id":"2008-05227","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2072383706.pdf","grobid_xml":"https://content.openalex.org/works/W2072383706.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1557190042","https://openalex.org/W1632995045","https://openalex.org/W1965228711","https://openalex.org/W1965583610","https://openalex.org/W1972236812","https://openalex.org/W1977099215","https://openalex.org/W1988693905","https://openalex.org/W1993555243","https://openalex.org/W1998580770","https://openalex.org/W2011366513","https://openalex.org/W2014407969","https://openalex.org/W2022743296","https://openalex.org/W2025206681","https://openalex.org/W2031520859","https://openalex.org/W2033047360","https://openalex.org/W2034627084","https://openalex.org/W2034986165","https://openalex.org/W2040557797","https://openalex.org/W2044154336","https://openalex.org/W2055611353","https://openalex.org/W2055810394","https://openalex.org/W2057208735","https://openalex.org/W2059023154","https://openalex.org/W2060043187","https://openalex.org/W2071544460","https://openalex.org/W2081112065","https://openalex.org/W2094316773","https://openalex.org/W2094804354","https://openalex.org/W2097780038","https://openalex.org/W2105614108","https://openalex.org/W2114826682","https://openalex.org/W2115899438","https://openalex.org/W2156583743","https://openalex.org/W2485270275","https://openalex.org/W2998276433","https://openalex.org/W2999976787"],"related_works":["https://openalex.org/W7100755517","https://openalex.org/W1980799792","https://openalex.org/W2036789164","https://openalex.org/W1998580770","https://openalex.org/W2040946341","https://openalex.org/W2014407969","https://openalex.org/W2078330453","https://openalex.org/W2022743296","https://openalex.org/W2069355667","https://openalex.org/W2094675983"],"abstract_inverted_index":{"The":[0],"geometric":[1,30,54,70,87,115],"phase":[2,31,55,88,116],"has":[3],"found":[4],"a":[5,76,85],"broad":[6],"spectrum":[7],"of":[8,41,52,89,99],"applications":[9],"in":[10,129],"both":[11,100],"classical":[12],"and":[13,20,43,72,102],"quantum":[14,21,34,63,130],"physics,":[15],"such":[16],"as":[17],"condensed":[18],"matter":[19],"computation.":[22],"In":[23],"this":[24],"paper,":[25],"we":[26,44,108],"introduce":[27,67],"an":[28,110],"operational":[29],"for":[32,56,113,127],"mixed":[33,57,104],"states,":[35,58],"based":[36,61],"on":[37,62],"spectral":[38],"weighted":[39],"traces":[40],"holonomies,":[42],"prove":[45,73],"that":[46,74,117],"it":[47,122],"generalizes":[48],"the":[49,53,114],"standard":[50],"definition":[51],"which":[59],"is":[60,83,123],"interferometry.":[64],"We":[65],"also":[66],"higher":[68],"order":[69],"phases,":[71],"under":[75],"fairly":[77],"weak,":[78],"generically":[79],"satisfied,":[80],"requirement,":[81],"there":[82],"always":[84],"well-defined":[86],"some":[90],"order.":[91],"Our":[92],"approach":[93],"applies":[94],"to":[95],"general":[96],"unitary":[97],"evolutions":[98],"non-degenerate":[101],"degenerate":[103],"states.":[105],"Moreover,":[106],"since":[107],"provide":[109],"explicit":[111],"formula":[112],"can":[118],"be":[119],"easily":[120],"implemented,":[121],"particularly":[124],"well":[125],"suited":[126],"computations":[128],"physics.":[131]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}
