{"id":"https://openalex.org/W3204646413","doi":"https://doi.org/10.1007/s11128-022-03475-z","title":"Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$$\\mathcal {PT}\\!$$-symmetric systems","display_name":"Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$$\\mathcal {PT}\\!$$-symmetric systems","publication_year":2022,"publication_date":"2022-04-11","ids":{"openalex":"https://openalex.org/W3204646413","doi":"https://doi.org/10.1007/s11128-022-03475-z","mag":"3204646413"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-022-03475-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-022-03475-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/2101.04663","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030482186","display_name":"Hossein Rangani Jahromi","orcid":"https://orcid.org/0000-0001-7208-2437"},"institutions":[{"id":"https://openalex.org/I2800262513","display_name":"Jahrom University","ror":"https://ror.org/03xp8p672","country_code":"IR","type":"education","lineage":["https://openalex.org/I2800262513"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Hossein Rangani Jahromi","raw_affiliation_strings":["Physics Department, Faculty of Sciences, Jahrom University, P. O. Box 74135111, Jahrom, Iran"],"raw_orcid":"https://orcid.org/0000-0001-7208-2437","affiliations":[{"raw_affiliation_string":"Physics Department, Faculty of Sciences, Jahrom University, P. O. Box 74135111, Jahrom, Iran","institution_ids":["https://openalex.org/I2800262513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002338165","display_name":"Rosario Lo Franco","orcid":"https://orcid.org/0000-0002-3281-0935"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Rosario Lo Franco","raw_affiliation_strings":["Dipartimento di Ingegneria, Universit\u00e0 di Palermo, Viale delle Scienze, Edificio 6, 90128, Palermo, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3281-0935","affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria, Universit\u00e0 di Palermo, Viale delle Scienze, Edificio 6, 90128, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030482186"],"corresponding_institution_ids":["https://openalex.org/I2800262513"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":1.5803,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.81778285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":1.0,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":1.0,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9584000110626221,"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/hermitian-matrix","display_name":"Hermitian matrix","score":0.749170184135437},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.7441989183425903},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.6549443006515503},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6389045715332031},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.6154998540878296},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.5172998905181885},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5008940696716309},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3788308799266815},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.35743850469589233},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.32805711030960083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2877126932144165}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.749170184135437},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7441989183425903},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6549443006515503},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6389045715332031},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.6154998540878296},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.5172998905181885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5008940696716309},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3788308799266815},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35743850469589233},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.32805711030960083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2877126932144165},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11128-022-03475-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-022-03475-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:2101.04663","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.04663","pdf_url":"https://arxiv.org/pdf/2101.04663","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:iris.unipa.it:10447/550342","is_oa":true,"landing_page_url":"http://hdl.handle.net/10447/550342","pdf_url":null,"source":{"id":"https://openalex.org/S4306401065","display_name":"Nova Science Publishers (Nova Science Publishers, Inc.)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.04663","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.04663","pdf_url":"https://arxiv.org/pdf/2101.04663","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":182,"referenced_works":["https://openalex.org/W375307776","https://openalex.org/W792163153","https://openalex.org/W794319421","https://openalex.org/W1516732965","https://openalex.org/W1531935167","https://openalex.org/W1575147392","https://openalex.org/W1596792582","https://openalex.org/W1631356911","https://openalex.org/W1665371518","https://openalex.org/W1673729959","https://openalex.org/W1709784975","https://openalex.org/W1753191823","https://openalex.org/W1890948733","https://openalex.org/W1895364685","https://openalex.org/W1897844819","https://openalex.org/W1911454827","https://openalex.org/W1911969426","https://openalex.org/W1968661061","https://openalex.org/W1972316072","https://openalex.org/W1975677983","https://openalex.org/W1978986114","https://openalex.org/W1988877211","https://openalex.org/W1993122650","https://openalex.org/W1993182759","https://openalex.org/W1998795769","https://openalex.org/W1999786383","https://openalex.org/W2001025534","https://openalex.org/W2003643601","https://openalex.org/W2010599738","https://openalex.org/W2015263507","https://openalex.org/W2015486074","https://openalex.org/W2015934473","https://openalex.org/W2020028184","https://openalex.org/W2020050358","https://openalex.org/W2020651663","https://openalex.org/W2027529302","https://openalex.org/W2031255223","https://openalex.org/W2047497085","https://openalex.org/W2047699813","https://openalex.org/W2049871083","https://openalex.org/W2050257404","https://openalex.org/W2051452792","https://openalex.org/W2061711994","https://openalex.org/W2062265521","https://openalex.org/W2062480490","https://openalex.org/W2065730083","https://openalex.org/W2066202639","https://openalex.org/W2069043908","https://openalex.org/W2069184481","https://openalex.org/W2072055974","https://openalex.org/W2075175704","https://openalex.org/W2079089304","https://openalex.org/W2082463827","https://openalex.org/W2082688097","https://openalex.org/W2083423624","https://openalex.org/W2084864304","https://openalex.org/W2085072709","https://openalex.org/W2087654101","https://openalex.org/W2087844534","https://openalex.org/W2089452208","https://openalex.org/W2101653615","https://openalex.org/W2117897634","https://openalex.org/W2121853028","https://openalex.org/W2129780719","https://openalex.org/W2140726841","https://openalex.org/W2160223254","https://openalex.org/W2166080990","https://openalex.org/W2169072335","https://openalex.org/W2174298480","https://openalex.org/W2181284682","https://openalex.org/W2203720464","https://openalex.org/W2226008271","https://openalex.org/W2236575281","https://openalex.org/W2246495161","https://openalex.org/W2273068609","https://openalex.org/W2276305443","https://openalex.org/W2286173540","https://openalex.org/W2487512313","https://openalex.org/W2550534203","https://openalex.org/W2580837015","https://openalex.org/W2595490650","https://openalex.org/W2613972820","https://openalex.org/W2679596949","https://openalex.org/W2733896976","https://openalex.org/W2744045251","https://openalex.org/W2744151324","https://openalex.org/W2762179548","https://openalex.org/W2763895564","https://openalex.org/W2764347725","https://openalex.org/W2765130284","https://openalex.org/W2765778330","https://openalex.org/W2768107904","https://openalex.org/W2770074333","https://openalex.org/W2773836929","https://openalex.org/W2781491230","https://openalex.org/W2785230806","https://openalex.org/W2790756470","https://openalex.org/W2806606959","https://openalex.org/W2806676409","https://openalex.org/W2807193026","https://openalex.org/W2810129455","https://openalex.org/W2887408540","https://openalex.org/W2894355028","https://openalex.org/W2898419410","https://openalex.org/W2902703973","https://openalex.org/W2903863365","https://openalex.org/W2909141036","https://openalex.org/W2912185117","https://openalex.org/W2912642261","https://openalex.org/W2913457344","https://openalex.org/W2914877349","https://openalex.org/W2930665417","https://openalex.org/W2937049145","https://openalex.org/W2938137128","https://openalex.org/W2948595412","https://openalex.org/W2958924501","https://openalex.org/W2959219118","https://openalex.org/W2959466714","https://openalex.org/W2963296268","https://openalex.org/W2974427948","https://openalex.org/W2989779536","https://openalex.org/W2995038052","https://openalex.org/W2995452213","https://openalex.org/W2999095081","https://openalex.org/W3001648414","https://openalex.org/W3011519593","https://openalex.org/W3012029914","https://openalex.org/W3012599817","https://openalex.org/W3013810143","https://openalex.org/W3017144699","https://openalex.org/W3025310712","https://openalex.org/W3029196703","https://openalex.org/W3033790110","https://openalex.org/W3033891030","https://openalex.org/W3035230485","https://openalex.org/W3038300569","https://openalex.org/W3045746619","https://openalex.org/W3048240598","https://openalex.org/W3086500165","https://openalex.org/W3091044725","https://openalex.org/W3095780666","https://openalex.org/W3098398609","https://openalex.org/W3098506973","https://openalex.org/W3098603170","https://openalex.org/W3099557771","https://openalex.org/W3099586276","https://openalex.org/W3099756982","https://openalex.org/W3099801699","https://openalex.org/W3099986132","https://openalex.org/W3100140276","https://openalex.org/W3100278745","https://openalex.org/W3100408653","https://openalex.org/W3100423326","https://openalex.org/W3100573077","https://openalex.org/W3100980856","https://openalex.org/W3101112190","https://openalex.org/W3101298174","https://openalex.org/W3101436429","https://openalex.org/W3102106809","https://openalex.org/W3103009683","https://openalex.org/W3103545361","https://openalex.org/W3103669321","https://openalex.org/W3104969891","https://openalex.org/W3105444973","https://openalex.org/W3105448191","https://openalex.org/W3105497786","https://openalex.org/W3105982350","https://openalex.org/W3110471435","https://openalex.org/W3111516426","https://openalex.org/W3117109918","https://openalex.org/W3118577024","https://openalex.org/W3122158587","https://openalex.org/W3132100412","https://openalex.org/W3139451556","https://openalex.org/W3151432352","https://openalex.org/W3155852796","https://openalex.org/W4300657400","https://openalex.org/W6600234944","https://openalex.org/W6600996794","https://openalex.org/W6602756812","https://openalex.org/W6606719265","https://openalex.org/W6637936669"],"related_works":["https://openalex.org/W1994680671","https://openalex.org/W2000283393","https://openalex.org/W2002320543","https://openalex.org/W2061947244","https://openalex.org/W2150232912","https://openalex.org/W2054940838","https://openalex.org/W3106170641","https://openalex.org/W2030438918","https://openalex.org/W2078900615","https://openalex.org/W106220336"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-10-11T00:00:00"}