Geometry of quantum states: New construction of positive maps

Geometry of quantum states: New construction of positive maps

We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physics letters. A 2009-06, Vol.373 (27), p.2301-2305
Hauptverfasser: Chruściński, Dariusz, Kossakowski, Andrzej
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 2305
container_issue 27
container_start_page 2301
container_title Physics letters. A
container_volume 373
creator Chruściński, Dariusz
Kossakowski, Andrzej
description We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.
doi_str_mv 10.1016/j.physleta.2009.04.068
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_903618384</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0375960109005532</els_id><sourcerecordid>34417422</sourcerecordid><originalsourceid>FETCH-LOGICAL-c375t-6f3af53c016b4dee06743a9fb9e868074a75db5fd0423d14b9e3b3c91b2a006d3</originalsourceid><addsrcrecordid>eNqFkNFKwzAUhoMoOKevIL3Sq9aTJktbQVCGTmHojV6HND3FjLXpknSytzdjeqtXBw7f_x_OR8glhYwCFTerbPjc-TUGleUAVQY8A1EekQktC5bmPK-OyQRYMUsrAfSUnHm_AohJqCbkboG2w-B2iW2Tzaj6MHaJDyqgv01e8SvRtvfBjToY2--ZwXoTzBaTTg3-nJy0au3x4mdOycfT4_v8OV2-LV7mD8tUx7MhFS1T7YzpeLPmDSKIgjNVtXWFpSih4KqYNfWsbYDnrKE87lnNdEXrXAGIhk3J9aF3cHYzog-yM17jeq16tKOXFTBBS1bySF79STLOacHzPILiAGpnvXfYysGZTrmdpCD3XuVK_nqVe68SuIxeY_D-EMT48Nagk14b7DU2xqEOsrHmv4pvJHaFDg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>34417422</pqid></control><display><type>article</type><title>Geometry of quantum states: New construction of positive maps</title><source>Elsevier ScienceDirect Journals Complete</source><creator>Chruściński, Dariusz ; Kossakowski, Andrzej</creator><creatorcontrib>Chruściński, Dariusz ; Kossakowski, Andrzej</creatorcontrib><description>We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.</description><identifier>ISSN: 0375-9601</identifier><identifier>EISSN: 1873-2429</identifier><identifier>DOI: 10.1016/j.physleta.2009.04.068</identifier><language>eng</language><publisher>Elsevier B.V</publisher><ispartof>Physics letters. A, 2009-06, Vol.373 (27), p.2301-2305</ispartof><rights>2009 Elsevier B.V.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c375t-6f3af53c016b4dee06743a9fb9e868074a75db5fd0423d14b9e3b3c91b2a006d3</citedby><cites>FETCH-LOGICAL-c375t-6f3af53c016b4dee06743a9fb9e868074a75db5fd0423d14b9e3b3c91b2a006d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.physleta.2009.04.068$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Chruściński, Dariusz</creatorcontrib><creatorcontrib>Kossakowski, Andrzej</creatorcontrib><title>Geometry of quantum states: New construction of positive maps</title><title>Physics letters. A</title><description>We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.</description><issn>0375-9601</issn><issn>1873-2429</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkNFKwzAUhoMoOKevIL3Sq9aTJktbQVCGTmHojV6HND3FjLXpknSytzdjeqtXBw7f_x_OR8glhYwCFTerbPjc-TUGleUAVQY8A1EekQktC5bmPK-OyQRYMUsrAfSUnHm_AohJqCbkboG2w-B2iW2Tzaj6MHaJDyqgv01e8SvRtvfBjToY2--ZwXoTzBaTTg3-nJy0au3x4mdOycfT4_v8OV2-LV7mD8tUx7MhFS1T7YzpeLPmDSKIgjNVtXWFpSih4KqYNfWsbYDnrKE87lnNdEXrXAGIhk3J9aF3cHYzog-yM17jeq16tKOXFTBBS1bySF79STLOacHzPILiAGpnvXfYysGZTrmdpCD3XuVK_nqVe68SuIxeY_D-EMT48Nagk14b7DU2xqEOsrHmv4pvJHaFDg</recordid><startdate>20090622</startdate><enddate>20090622</enddate><creator>Chruściński, Dariusz</creator><creator>Kossakowski, Andrzej</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7QQ</scope><scope>7U5</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20090622</creationdate><title>Geometry of quantum states: New construction of positive maps</title><author>Chruściński, Dariusz ; Kossakowski, Andrzej</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c375t-6f3af53c016b4dee06743a9fb9e868074a75db5fd0423d14b9e3b3c91b2a006d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chruściński, Dariusz</creatorcontrib><creatorcontrib>Kossakowski, Andrzej</creatorcontrib><collection>CrossRef</collection><collection>Ceramic Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physics letters. A</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chruściński, Dariusz</au><au>Kossakowski, Andrzej</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Geometry of quantum states: New construction of positive maps</atitle><jtitle>Physics letters. A</jtitle><date>2009-06-22</date><risdate>2009</risdate><volume>373</volume><issue>27</issue><spage>2301</spage><epage>2305</epage><pages>2301-2305</pages><issn>0375-9601</issn><eissn>1873-2429</eissn><abstract>We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.physleta.2009.04.068</doi><tpages>5</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0375-9601
ispartof Physics letters. A, 2009-06, Vol.373 (27), p.2301-2305
issn 0375-9601
1873-2429
language eng
recordid cdi_proquest_miscellaneous_903618384
source Elsevier ScienceDirect Journals Complete
title Geometry of quantum states: New construction of positive maps
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T14%3A32%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Geometry%20of%20quantum%20states:%20New%20construction%20of%20positive%20maps&rft.jtitle=Physics%20letters.%20A&rft.au=Chru%C5%9Bci%C5%84ski,%20Dariusz&rft.date=2009-06-22&rft.volume=373&rft.issue=27&rft.spage=2301&rft.epage=2305&rft.pages=2301-2305&rft.issn=0375-9601&rft.eissn=1873-2429&rft_id=info:doi/10.1016/j.physleta.2009.04.068&rft_dat=%3Cproquest_cross%3E34417422%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=34417422&rft_id=info:pmid/&rft_els_id=S0375960109005532&rfr_iscdi=true