Constructing entanglement witness via real skew-symmetric operators
In this work, new types of EWs are introduced. They are constructed by using real skew-symmetric operators defined on a single party subsystem of a bipartite d⊗d system and a maximal entangled state in that system. A canonical form for these witnesses is proposed which is called canonical EW in corr...
Gespeichert in:
| Veröffentlicht in: | The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2009-12, Vol.55 (3), p.729-744 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 744 |
|---|---|
| container_issue | 3 |
| container_start_page | 729 |
| container_title | The European physical journal. D, Atomic, molecular, and optical physics |
| container_volume | 55 |
| creator | Jafarizadeh, M. A. Behzadi, N. |
| description | In this work, new types of EWs are introduced. They are constructed by using real skew-symmetric operators defined on a single party subsystem of a bipartite d⊗d system and a maximal entangled state in that system. A canonical form for these witnesses is proposed which is called canonical EW in corresponding to canonical real skew-symmetric operator. Also for each possible partition of the canonical real skew-symmetric operator corresponding EW is obtained. The method used for d⊗d case is extended to d
1
⊗d
2
systems. It is shown that there exist C
d2
d1
distinct possibilities to construct EWs for a given d
1
⊗ d
2
Hilbert space. The optimality and nd-optimality problem is studied for each type of EWs. In each step, a large class of quantum PPT states is introduced. It is shown that among them there exist entangled PPT states which are detected by the constructed witnesses. Also the idea of canonical EWs is extended to obtain other EWs with greater PPT entanglement detection power. |
| doi_str_mv | 10.1140/epjd/e2009-00264-8 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_36363139</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>36363139</sourcerecordid><originalsourceid>FETCH-LOGICAL-c352t-82daad43a6f9e4789dbd31e5131b1cd2ee24463e2fb9b715cca77e1f69bc84db3</originalsourceid><addsrcrecordid>eNp9kE1Lw0AQhhdRsFb_gKdc9Ba7X9kkRwlahYIXPS-bzaSkJpu4s7H035t-0KPMYQbmeV9mXkLuGX1iTNIFDJtqAZzSPKaUKxlnF2TGpJCxoml-eZ4VvSY3iBs6UYlUM1IUvcPgRxsat47ABePWLXTTEG2b4AAx-m1M5MG0EX7DNsZd10HwjY36AbwJvcdbclWbFuHu1Ofk6_Xls3iLVx_L9-J5FVuR8BBnvDKmksKoOgeZZnlVVoJBwgQrma04AJdSCeB1mZcpS6w1aQqsVnlpM1mVYk4ej76D739GwKC7Bi20rXHQj6iFmoqJfAL5EbS-R_RQ68E3nfE7zaje56X3eelDXvqQl84m0cPJ3aA1be2Nsw2elZyzVO3vmxNx5HBauTV4velH76bH_3P_AymNfso</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>36363139</pqid></control><display><type>article</type><title>Constructing entanglement witness via real skew-symmetric operators</title><source>SpringerLink Journals - AutoHoldings</source><creator>Jafarizadeh, M. A. ; Behzadi, N.</creator><creatorcontrib>Jafarizadeh, M. A. ; Behzadi, N.</creatorcontrib><description>In this work, new types of EWs are introduced. They are constructed by using real skew-symmetric operators defined on a single party subsystem of a bipartite d⊗d system and a maximal entangled state in that system. A canonical form for these witnesses is proposed which is called canonical EW in corresponding to canonical real skew-symmetric operator. Also for each possible partition of the canonical real skew-symmetric operator corresponding EW is obtained. The method used for d⊗d case is extended to d
1
⊗d
2
systems. It is shown that there exist C
d2
d1
distinct possibilities to construct EWs for a given d
1
⊗ d
2
Hilbert space. The optimality and nd-optimality problem is studied for each type of EWs. In each step, a large class of quantum PPT states is introduced. It is shown that among them there exist entangled PPT states which are detected by the constructed witnesses. Also the idea of canonical EWs is extended to obtain other EWs with greater PPT entanglement detection power.</description><identifier>ISSN: 1434-6060</identifier><identifier>EISSN: 1434-6079</identifier><identifier>DOI: 10.1140/epjd/e2009-00264-8</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Applications of Nonlinear Dynamics and Chaos Theory ; Atomic ; Classical and quantum physics: mechanics and fields ; Exact sciences and technology ; Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase) ; Molecular ; Optical and Plasma Physics ; Physical Chemistry ; Physics ; Physics and Astronomy ; Quantum Information ; Quantum Information Technology ; Quantum mechanics ; Quantum Physics ; Spectroscopy/Spectrometry ; Spintronics</subject><ispartof>The European physical journal. D, Atomic, molecular, and optical physics, 2009-12, Vol.55 (3), p.729-744</ispartof><rights>EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c352t-82daad43a6f9e4789dbd31e5131b1cd2ee24463e2fb9b715cca77e1f69bc84db3</citedby><cites>FETCH-LOGICAL-c352t-82daad43a6f9e4789dbd31e5131b1cd2ee24463e2fb9b715cca77e1f69bc84db3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjd/e2009-00264-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epjd/e2009-00264-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22176446$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Jafarizadeh, M. A.</creatorcontrib><creatorcontrib>Behzadi, N.</creatorcontrib><title>Constructing entanglement witness via real skew-symmetric operators</title><title>The European physical journal. D, Atomic, molecular, and optical physics</title><addtitle>Eur. Phys. J. D</addtitle><description>In this work, new types of EWs are introduced. They are constructed by using real skew-symmetric operators defined on a single party subsystem of a bipartite d⊗d system and a maximal entangled state in that system. A canonical form for these witnesses is proposed which is called canonical EW in corresponding to canonical real skew-symmetric operator. Also for each possible partition of the canonical real skew-symmetric operator corresponding EW is obtained. The method used for d⊗d case is extended to d
1
⊗d
2
systems. It is shown that there exist C
d2
d1
distinct possibilities to construct EWs for a given d
1
⊗ d
2
Hilbert space. The optimality and nd-optimality problem is studied for each type of EWs. In each step, a large class of quantum PPT states is introduced. It is shown that among them there exist entangled PPT states which are detected by the constructed witnesses. Also the idea of canonical EWs is extended to obtain other EWs with greater PPT entanglement detection power.</description><subject>Applications of Nonlinear Dynamics and Chaos Theory</subject><subject>Atomic</subject><subject>Classical and quantum physics: mechanics and fields</subject><subject>Exact sciences and technology</subject><subject>Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase)</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Information</subject><subject>Quantum Information Technology</subject><subject>Quantum mechanics</subject><subject>Quantum Physics</subject><subject>Spectroscopy/Spectrometry</subject><subject>Spintronics</subject><issn>1434-6060</issn><issn>1434-6079</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp9kE1Lw0AQhhdRsFb_gKdc9Ba7X9kkRwlahYIXPS-bzaSkJpu4s7H035t-0KPMYQbmeV9mXkLuGX1iTNIFDJtqAZzSPKaUKxlnF2TGpJCxoml-eZ4VvSY3iBs6UYlUM1IUvcPgRxsat47ABePWLXTTEG2b4AAx-m1M5MG0EX7DNsZd10HwjY36AbwJvcdbclWbFuHu1Ofk6_Xls3iLVx_L9-J5FVuR8BBnvDKmksKoOgeZZnlVVoJBwgQrma04AJdSCeB1mZcpS6w1aQqsVnlpM1mVYk4ej76D739GwKC7Bi20rXHQj6iFmoqJfAL5EbS-R_RQ68E3nfE7zaje56X3eelDXvqQl84m0cPJ3aA1be2Nsw2elZyzVO3vmxNx5HBauTV4velH76bH_3P_AymNfso</recordid><startdate>20091201</startdate><enddate>20091201</enddate><creator>Jafarizadeh, M. A.</creator><creator>Behzadi, N.</creator><general>Springer-Verlag</general><general>EDP Sciences</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20091201</creationdate><title>Constructing entanglement witness via real skew-symmetric operators</title><author>Jafarizadeh, M. A. ; Behzadi, N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c352t-82daad43a6f9e4789dbd31e5131b1cd2ee24463e2fb9b715cca77e1f69bc84db3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applications of Nonlinear Dynamics and Chaos Theory</topic><topic>Atomic</topic><topic>Classical and quantum physics: mechanics and fields</topic><topic>Exact sciences and technology</topic><topic>Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase)</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Information</topic><topic>Quantum Information Technology</topic><topic>Quantum mechanics</topic><topic>Quantum Physics</topic><topic>Spectroscopy/Spectrometry</topic><topic>Spintronics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jafarizadeh, M. A.</creatorcontrib><creatorcontrib>Behzadi, N.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jafarizadeh, M. A.</au><au>Behzadi, N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Constructing entanglement witness via real skew-symmetric operators</atitle><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle><stitle>Eur. Phys. J. D</stitle><date>2009-12-01</date><risdate>2009</risdate><volume>55</volume><issue>3</issue><spage>729</spage><epage>744</epage><pages>729-744</pages><issn>1434-6060</issn><eissn>1434-6079</eissn><abstract>In this work, new types of EWs are introduced. They are constructed by using real skew-symmetric operators defined on a single party subsystem of a bipartite d⊗d system and a maximal entangled state in that system. A canonical form for these witnesses is proposed which is called canonical EW in corresponding to canonical real skew-symmetric operator. Also for each possible partition of the canonical real skew-symmetric operator corresponding EW is obtained. The method used for d⊗d case is extended to d
1
⊗d
2
systems. It is shown that there exist C
d2
d1
distinct possibilities to construct EWs for a given d
1
⊗ d
2
Hilbert space. The optimality and nd-optimality problem is studied for each type of EWs. In each step, a large class of quantum PPT states is introduced. It is shown that among them there exist entangled PPT states which are detected by the constructed witnesses. Also the idea of canonical EWs is extended to obtain other EWs with greater PPT entanglement detection power.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1140/epjd/e2009-00264-8</doi><tpages>16</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1434-6060 |
| ispartof | The European physical journal. D, Atomic, molecular, and optical physics, 2009-12, Vol.55 (3), p.729-744 |
| issn | 1434-6060 1434-6079 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_36363139 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Applications of Nonlinear Dynamics and Chaos Theory Atomic Classical and quantum physics: mechanics and fields Exact sciences and technology Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase) Molecular Optical and Plasma Physics Physical Chemistry Physics Physics and Astronomy Quantum Information Quantum Information Technology Quantum mechanics Quantum Physics Spectroscopy/Spectrometry Spintronics |
| title | Constructing entanglement witness via real skew-symmetric operators |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T19%3A30%3A14IST&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=Constructing%20entanglement%20witness%20via%20real%20skew-symmetric%20operators&rft.jtitle=The%20European%20physical%20journal.%20D,%20Atomic,%20molecular,%20and%20optical%20physics&rft.au=Jafarizadeh,%20M.%20A.&rft.date=2009-12-01&rft.volume=55&rft.issue=3&rft.spage=729&rft.epage=744&rft.pages=729-744&rft.issn=1434-6060&rft.eissn=1434-6079&rft_id=info:doi/10.1140/epjd/e2009-00264-8&rft_dat=%3Cproquest_cross%3E36363139%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=36363139&rft_id=info:pmid/&rfr_iscdi=true |