{"id":"https://openalex.org/W2056334120","doi":"https://doi.org/10.1103/physreva.74.042323","title":"Entanglement versus negative domains of Wigner functions","display_name":"Entanglement versus negative domains of Wigner functions","publication_year":2006,"publication_date":"2006-10-23","ids":{"openalex":"https://openalex.org/W2056334120","doi":"https://doi.org/10.1103/physreva.74.042323","mag":"2056334120"},"language":"en","primary_location":{"id":"doi:10.1103/physreva.74.042323","doi":"https://doi.org/10.1103/physreva.74.042323","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreva.74.042323","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevA.74.042323","source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://link.aps.org/pdf/10.1103/PhysRevA.74.042323","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014398090","display_name":"Joachim Dahl","orcid":"https://orcid.org/0000-0002-5656-7909","observed_orcids":["https://orcid.org/0000-0002-5656-7909"]},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]},{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DE","DK"],"is_corresponding":false,"raw_author_name":"J. P. Dahl","raw_affiliation_strings":["Abteilung f\u00fcr Quantenphysik, Universit\u00e4t Ulm, D-89069 Ulm, Germany","Chemical Physics, Department of Chemistry, Technical University of Denmark, DTU 207, DK-2800 Kgs. Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Abteilung f\u00fcr Quantenphysik, Universit\u00e4t Ulm, D-89069 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]},{"raw_affiliation_string":"Chemical Physics, Department of Chemistry, Technical University of Denmark, DTU 207, DK-2800 Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022671077","display_name":"Holger Mack","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. Mack","raw_affiliation_strings":["Abteilung f\u00fcr Quantenphysik, Universit\u00e4t Ulm, D-89069 Ulm, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Abteilung f\u00fcr Quantenphysik, Universit\u00e4t Ulm, D-89069 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":null,"display_name":"A. Wolf","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Wolf","raw_affiliation_strings":["Abteilung f\u00fcr Quantenphysik, Universit\u00e4t Ulm, D-89069 Ulm, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Abteilung f\u00fcr Quantenphysik, Universit\u00e4t Ulm, D-89069 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047214535","display_name":"Wolfgang P. Schleich","orcid":"https://orcid.org/0000-0002-9693-8882","observed_orcids":["https://orcid.org/0000-0002-9693-8882"]},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"W. P. Schleich","raw_affiliation_strings":["Abteilung f\u00fcr Quantenphysik, Universit\u00e4t Ulm, D-89069 Ulm, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Abteilung f\u00fcr Quantenphysik, Universit\u00e4t Ulm, D-89069 Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":0.9828,"has_fulltext":true,"cited_by_count":57,"citation_normalized_percentile":{"value":0.73650537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"74","issue":"4","first_page":"42323","last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.8974999785423279,"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":0.8974999785423279,"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":0.047200001776218414,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.02019999921321869,"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/quantum-entanglement","display_name":"quantum entanglement","score":0.8159999847412109},{"id":"https://openalex.org/keywords/wigner-function","display_name":"Wigner function","score":0.8640000224113464},{"id":"https://openalex.org/keywords/hyperradius","display_name":"hyperradius","score":0.953000009059906},{"id":"https://openalex.org/keywords/maximally-entangled-states","display_name":"maximally entangled states","score":0.8709999918937683},{"id":"https://openalex.org/keywords/gaussian-wave-packets","display_name":"Gaussian wave packets","score":0.8119999766349792},{"id":"https://openalex.org/keywords/phase-space-representation","display_name":"phase-space representation","score":0.3919999897480011}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9371094703674316},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7431570887565613},{"id":"https://openalex.org/C151077058","wikidata":"https://www.wikidata.org/wiki/Q233415","display_name":"Wigner distribution function","level":3,"score":0.6173583269119263},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6158349514007568},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5893635153770447},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5008842945098877},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.4872654676437378},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4373210072517395},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4286056458950043},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.35192400217056274},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.13357800245285034},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09333187341690063},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0626489520072937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physreva.74.042323","doi":"https://doi.org/10.1103/physreva.74.042323","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreva.74.042323","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevA.74.042323","source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/9240a698-0b55-495b-b570-69a62f0f70ba","doi":null,"is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/9240a698-0b55-495b-b570-69a62f0f70ba","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"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":"Dahl , J P , Mack , H , Wolf , A & Schleich , W P 2006 , ' Entanglement versus negative domains of Wigner functions ' , Physical Review A , vol. 74 , no. 4 , pp. 042323 . https://doi.org/10.1103/PhysRevA.74.042323","raw_type":"article"},{"id":"mag:82912434","doi":null,"is_oa":false,"landing_page_url":"https://dialnet.unirioja.es/servlet/articulo?codigo=2177928","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Physical Review A","raw_type":null}],"best_oa_location":{"id":"doi:10.1103/physreva.74.042323","doi":"https://doi.org/10.1103/physreva.74.042323","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreva.74.042323","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevA.74.042323","source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320310414","display_name":"Baden-W\u00fcrttemberg Stiftung","ror":"https://ror.org/031h5fa94"},{"id":"https://openalex.org/F4320322434","display_name":"Max-Planck-Gesellschaft","ror":"https://ror.org/01hhn8329"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2056334120.pdf","grobid_xml":"https://content.openalex.org/works/W2056334120.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W27937918","https://openalex.org/W1489491827","https://openalex.org/W1534489878","https://openalex.org/W1963676473","https://openalex.org/W1970410822","https://openalex.org/W1970948880","https://openalex.org/W1970959865","https://openalex.org/W1976095746","https://openalex.org/W1986407511","https://openalex.org/W1991918243","https://openalex.org/W1992113759","https://openalex.org/W2001615710","https://openalex.org/W2006664108","https://openalex.org/W2023203209","https://openalex.org/W2028815089","https://openalex.org/W2040794877","https://openalex.org/W2057263388","https://openalex.org/W2063536692","https://openalex.org/W2070287987","https://openalex.org/W2076262893","https://openalex.org/W2080169805","https://openalex.org/W2084883086","https://openalex.org/W2085957116","https://openalex.org/W2088061432","https://openalex.org/W2151549005","https://openalex.org/W2220039334","https://openalex.org/W2321955012","https://openalex.org/W2498776530","https://openalex.org/W3165898261"],"related_works":["https://openalex.org/W82912434","https://openalex.org/W1522760243","https://openalex.org/W2556576076","https://openalex.org/W2054547108","https://openalex.org/W7097256137","https://openalex.org/W3143774368","https://openalex.org/W892062005","https://openalex.org/W2127366165","https://openalex.org/W1969843011","https://openalex.org/W2000817494"],"abstract_inverted_index":{"We":[0,28],"show":[1],"that":[2,5,9],"$s$":[3,37],"waves,":[4],"is":[6],"wave":[7],"functions":[8,24],"only":[10,19],"depend":[11],"on":[12],"a":[13,33,50,52,58],"hyperradius,":[14],"are":[15],"entangled":[16,54],"if":[17,20],"and":[18],"the":[21,44],"corresponding":[22],"Wigner":[23],"exhibit":[25],"negative":[26],"domains.":[27],"illustrate":[29],"this":[30],"feature":[31],"using":[32],"special":[34],"class":[35,48],"of":[36],"waves":[38],"which":[39],"allows":[40],"us":[41],"to":[42],"perform":[43],"calculations":[45],"analytically.":[46],"This":[47],"includes":[49],"Gaussian,":[51],"maximally":[53],"as":[55,57],"well":[56],"``shell''":[59],"state.":[60]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}