Tomographic causal analysis of two-qubit states and tomographic discord

We study a behavior of two-qubit states subject to tomographic measurement. In this Letter we propose a novel approach to definition of asymmetry in quantum bipartite state based on its tomographic Shannon entropies. We consider two types of measurement bases: the first is one that diagonalizes dens...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physics letters. A 2014-05, Vol.378 (24-25), p.1704-1710
Hauptverfasser: Kiktenko, Evgeny, Fedorov, Aleksey
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 1710
container_issue 24-25
container_start_page 1704
container_title Physics letters. A
container_volume 378
creator Kiktenko, Evgeny
Fedorov, Aleksey
description We study a behavior of two-qubit states subject to tomographic measurement. In this Letter we propose a novel approach to definition of asymmetry in quantum bipartite state based on its tomographic Shannon entropies. We consider two types of measurement bases: the first is one that diagonalizes density matrices of subsystems and is used in a definition of tomographic discord, and the second is one that maximizes Shannon mutual information and relates to symmetrical form quantum discord. We show how these approaches relate to each other and then implement them to the different classes of two-qubit states. Consequently, new subclasses of X-states are revealed. •Quantum tomography.•Quantum causal analysis.•Quantum discord.
doi_str_mv 10.1016/j.physleta.2014.04.036
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1551084414</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0375960114004071</els_id><sourcerecordid>1551084414</sourcerecordid><originalsourceid>FETCH-LOGICAL-c345t-f2954bcba62208440fb575a3216de0db48384efdaec5b04b04dea28d23df13e03</originalsourceid><addsrcrecordid>eNqFkE9LAzEQxYMoWKtfQfboZdfJn93u3pSiVSh4qeeQTWZtyrbZJlml396UKngTHsxh3u8x8wi5pVBQoNX9phjWh9BjVAUDKgpI4tUZmdB6xnMmWHNOJsBnZd5UQC_JVQgbgERCMyGLldu6D6-GtdWZVmNQfaZ2qj8EGzLXZfHL5fuxtTELUUUMaWmy-IcxNmjnzTW56FQf8OZnTsn789Nq_pIv3xav88dlrrkoY96xphStblXFGNRCQNeWs1JxRiuDYFpR81pgZxTqsgWRZFCx2jBuOsoR-JTcnXIH7_Yjhii36QDse7VDNwZJy5Ieg6lI1upk1d6F4LGTg7db5Q-Sgjw2Jzfytzl5bE5CEq8S-HACMT3yadHLoC3uNBrrUUdpnP0v4hsedHwC</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1551084414</pqid></control><display><type>article</type><title>Tomographic causal analysis of two-qubit states and tomographic discord</title><source>Elsevier ScienceDirect Journals</source><creator>Kiktenko, Evgeny ; Fedorov, Aleksey</creator><creatorcontrib>Kiktenko, Evgeny ; Fedorov, Aleksey</creatorcontrib><description>We study a behavior of two-qubit states subject to tomographic measurement. In this Letter we propose a novel approach to definition of asymmetry in quantum bipartite state based on its tomographic Shannon entropies. We consider two types of measurement bases: the first is one that diagonalizes density matrices of subsystems and is used in a definition of tomographic discord, and the second is one that maximizes Shannon mutual information and relates to symmetrical form quantum discord. We show how these approaches relate to each other and then implement them to the different classes of two-qubit states. Consequently, new subclasses of X-states are revealed. •Quantum tomography.•Quantum causal analysis.•Quantum discord.</description><identifier>ISSN: 0375-9601</identifier><identifier>EISSN: 1873-2429</identifier><identifier>DOI: 10.1016/j.physleta.2014.04.036</identifier><language>eng</language><publisher>Elsevier B.V</publisher><subject>Asymmetry ; Density ; Entropy ; Solid state physics</subject><ispartof>Physics letters. A, 2014-05, Vol.378 (24-25), p.1704-1710</ispartof><rights>2014 Elsevier B.V.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c345t-f2954bcba62208440fb575a3216de0db48384efdaec5b04b04dea28d23df13e03</citedby><cites>FETCH-LOGICAL-c345t-f2954bcba62208440fb575a3216de0db48384efdaec5b04b04dea28d23df13e03</cites><orcidid>0000-0001-5760-441X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0375960114004071$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Kiktenko, Evgeny</creatorcontrib><creatorcontrib>Fedorov, Aleksey</creatorcontrib><title>Tomographic causal analysis of two-qubit states and tomographic discord</title><title>Physics letters. A</title><description>We study a behavior of two-qubit states subject to tomographic measurement. In this Letter we propose a novel approach to definition of asymmetry in quantum bipartite state based on its tomographic Shannon entropies. We consider two types of measurement bases: the first is one that diagonalizes density matrices of subsystems and is used in a definition of tomographic discord, and the second is one that maximizes Shannon mutual information and relates to symmetrical form quantum discord. We show how these approaches relate to each other and then implement them to the different classes of two-qubit states. Consequently, new subclasses of X-states are revealed. •Quantum tomography.•Quantum causal analysis.•Quantum discord.</description><subject>Asymmetry</subject><subject>Density</subject><subject>Entropy</subject><subject>Solid state physics</subject><issn>0375-9601</issn><issn>1873-2429</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNqFkE9LAzEQxYMoWKtfQfboZdfJn93u3pSiVSh4qeeQTWZtyrbZJlml396UKngTHsxh3u8x8wi5pVBQoNX9phjWh9BjVAUDKgpI4tUZmdB6xnMmWHNOJsBnZd5UQC_JVQgbgERCMyGLldu6D6-GtdWZVmNQfaZ2qj8EGzLXZfHL5fuxtTELUUUMaWmy-IcxNmjnzTW56FQf8OZnTsn789Nq_pIv3xav88dlrrkoY96xphStblXFGNRCQNeWs1JxRiuDYFpR81pgZxTqsgWRZFCx2jBuOsoR-JTcnXIH7_Yjhii36QDse7VDNwZJy5Ieg6lI1upk1d6F4LGTg7db5Q-Sgjw2Jzfytzl5bE5CEq8S-HACMT3yadHLoC3uNBrrUUdpnP0v4hsedHwC</recordid><startdate>20140502</startdate><enddate>20140502</enddate><creator>Kiktenko, Evgeny</creator><creator>Fedorov, Aleksey</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7QQ</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0001-5760-441X</orcidid></search><sort><creationdate>20140502</creationdate><title>Tomographic causal analysis of two-qubit states and tomographic discord</title><author>Kiktenko, Evgeny ; Fedorov, Aleksey</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c345t-f2954bcba62208440fb575a3216de0db48384efdaec5b04b04dea28d23df13e03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Asymmetry</topic><topic>Density</topic><topic>Entropy</topic><topic>Solid state physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kiktenko, Evgeny</creatorcontrib><creatorcontrib>Fedorov, Aleksey</creatorcontrib><collection>CrossRef</collection><collection>Ceramic Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace 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>Kiktenko, Evgeny</au><au>Fedorov, Aleksey</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Tomographic causal analysis of two-qubit states and tomographic discord</atitle><jtitle>Physics letters. A</jtitle><date>2014-05-02</date><risdate>2014</risdate><volume>378</volume><issue>24-25</issue><spage>1704</spage><epage>1710</epage><pages>1704-1710</pages><issn>0375-9601</issn><eissn>1873-2429</eissn><abstract>We study a behavior of two-qubit states subject to tomographic measurement. In this Letter we propose a novel approach to definition of asymmetry in quantum bipartite state based on its tomographic Shannon entropies. We consider two types of measurement bases: the first is one that diagonalizes density matrices of subsystems and is used in a definition of tomographic discord, and the second is one that maximizes Shannon mutual information and relates to symmetrical form quantum discord. We show how these approaches relate to each other and then implement them to the different classes of two-qubit states. Consequently, new subclasses of X-states are revealed. •Quantum tomography.•Quantum causal analysis.•Quantum discord.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.physleta.2014.04.036</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0001-5760-441X</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0375-9601
ispartof Physics letters. A, 2014-05, Vol.378 (24-25), p.1704-1710
issn 0375-9601
1873-2429
language eng
recordid cdi_proquest_miscellaneous_1551084414
source Elsevier ScienceDirect Journals
subjects Asymmetry
Density
Entropy
Solid state physics
title Tomographic causal analysis of two-qubit states and tomographic discord
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T06%3A44%3A41IST&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=Tomographic%20causal%20analysis%20of%20two-qubit%20states%20and%20tomographic%20discord&rft.jtitle=Physics%20letters.%20A&rft.au=Kiktenko,%20Evgeny&rft.date=2014-05-02&rft.volume=378&rft.issue=24-25&rft.spage=1704&rft.epage=1710&rft.pages=1704-1710&rft.issn=0375-9601&rft.eissn=1873-2429&rft_id=info:doi/10.1016/j.physleta.2014.04.036&rft_dat=%3Cproquest_cross%3E1551084414%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=1551084414&rft_id=info:pmid/&rft_els_id=S0375960114004071&rfr_iscdi=true