Class of positive partial transposition states
We construct a class of quantum bipartite d(multiply-in-circle sign)d states which are positive under partial transposition (PPT states). This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases many well-known examples of PPT states. States from our class...
Gespeichert in:
Veröffentlicht in: | Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2006-08, Vol.74 (2), Article 022308 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | 2 |
container_start_page | |
container_title | Physical review. A, Atomic, molecular, and optical physics |
container_volume | 74 |
creator | Chruściński, Dariusz Kossakowski, Andrzej |
description | We construct a class of quantum bipartite d(multiply-in-circle sign)d states which are positive under partial transposition (PPT states). This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases many well-known examples of PPT states. States from our class provide criteria for testing the indecomposability of positive maps. Such maps are crucial for constructing entanglement witnesses. |
doi_str_mv | 10.1103/PhysRevA.74.022308 |
format | Article |
fullrecord | <record><control><sourceid>crossref_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_20853025</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1103_PhysRevA_74_022308</sourcerecordid><originalsourceid>FETCH-LOGICAL-c341t-1599d0eeda2670d6bf4c0b4299e80d8171a34ba0f772e885566e52030f6b830e3</originalsourceid><addsrcrecordid>eNo1kE9Lw0AUxBdRsFa_gKeA58S3_7K7xxLUCgVF9LxsNi80EpOQtxT67W2JzmWGYZjDj7F7DgXnIB_f90f6wMOmMKoAISTYC7bi4FTOSyEuz1lDLpwy1-yG6BtOUtatWFH1gSgb22waqUvdAbMpzKkLfZbmMNDSjkNGKSSkW3bVhp7w7s_X7Ov56bPa5ru3l9dqs8ujVDzlXDvXAGITRGmgKetWRaiVcA4tNJYbHqSqA7TGCLRW67JELUBCW9ZWAso1e1h-R0qdp9gljPs4DgPG5AVYLUHo00osqziPRDO2fpq7nzAfPQd_5uL_uXij_MJF_gIKIFa_</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Class of positive partial transposition states</title><source>American Physical Society Journals</source><creator>Chruściński, Dariusz ; Kossakowski, Andrzej</creator><creatorcontrib>Chruściński, Dariusz ; Kossakowski, Andrzej</creatorcontrib><description>We construct a class of quantum bipartite d(multiply-in-circle sign)d states which are positive under partial transposition (PPT states). This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases many well-known examples of PPT states. States from our class provide criteria for testing the indecomposability of positive maps. Such maps are crucial for constructing entanglement witnesses.</description><identifier>ISSN: 1050-2947</identifier><identifier>EISSN: 1094-1622</identifier><identifier>DOI: 10.1103/PhysRevA.74.022308</identifier><language>eng</language><publisher>United States</publisher><subject>ATOMIC AND MOLECULAR PHYSICS ; D STATES ; QUANTUM ENTANGLEMENT ; QUANTUM NUMBERS ; TESTING</subject><ispartof>Physical review. A, Atomic, molecular, and optical physics, 2006-08, Vol.74 (2), Article 022308</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c341t-1599d0eeda2670d6bf4c0b4299e80d8171a34ba0f772e885566e52030f6b830e3</citedby><cites>FETCH-LOGICAL-c341t-1599d0eeda2670d6bf4c0b4299e80d8171a34ba0f772e885566e52030f6b830e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,777,781,882,2863,2864,27905,27906</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/20853025$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Chruściński, Dariusz</creatorcontrib><creatorcontrib>Kossakowski, Andrzej</creatorcontrib><title>Class of positive partial transposition states</title><title>Physical review. A, Atomic, molecular, and optical physics</title><description>We construct a class of quantum bipartite d(multiply-in-circle sign)d states which are positive under partial transposition (PPT states). This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases many well-known examples of PPT states. States from our class provide criteria for testing the indecomposability of positive maps. Such maps are crucial for constructing entanglement witnesses.</description><subject>ATOMIC AND MOLECULAR PHYSICS</subject><subject>D STATES</subject><subject>QUANTUM ENTANGLEMENT</subject><subject>QUANTUM NUMBERS</subject><subject>TESTING</subject><issn>1050-2947</issn><issn>1094-1622</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNo1kE9Lw0AUxBdRsFa_gKeA58S3_7K7xxLUCgVF9LxsNi80EpOQtxT67W2JzmWGYZjDj7F7DgXnIB_f90f6wMOmMKoAISTYC7bi4FTOSyEuz1lDLpwy1-yG6BtOUtatWFH1gSgb22waqUvdAbMpzKkLfZbmMNDSjkNGKSSkW3bVhp7w7s_X7Ov56bPa5ru3l9dqs8ujVDzlXDvXAGITRGmgKetWRaiVcA4tNJYbHqSqA7TGCLRW67JELUBCW9ZWAso1e1h-R0qdp9gljPs4DgPG5AVYLUHo00osqziPRDO2fpq7nzAfPQd_5uL_uXij_MJF_gIKIFa_</recordid><startdate>20060801</startdate><enddate>20060801</enddate><creator>Chruściński, Dariusz</creator><creator>Kossakowski, Andrzej</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>20060801</creationdate><title>Class of positive partial transposition states</title><author>Chruściński, Dariusz ; Kossakowski, Andrzej</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c341t-1599d0eeda2670d6bf4c0b4299e80d8171a34ba0f772e885566e52030f6b830e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>ATOMIC AND MOLECULAR PHYSICS</topic><topic>D STATES</topic><topic>QUANTUM ENTANGLEMENT</topic><topic>QUANTUM NUMBERS</topic><topic>TESTING</topic><toplevel>online_resources</toplevel><creatorcontrib>Chruściński, Dariusz</creatorcontrib><creatorcontrib>Kossakowski, Andrzej</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Physical review. A, Atomic, molecular, and optical physics</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>Class of positive partial transposition states</atitle><jtitle>Physical review. A, Atomic, molecular, and optical physics</jtitle><date>2006-08-01</date><risdate>2006</risdate><volume>74</volume><issue>2</issue><artnum>022308</artnum><issn>1050-2947</issn><eissn>1094-1622</eissn><abstract>We construct a class of quantum bipartite d(multiply-in-circle sign)d states which are positive under partial transposition (PPT states). This class is invariant under the maximal commutative subgroup of U(d) and contains as special cases many well-known examples of PPT states. States from our class provide criteria for testing the indecomposability of positive maps. Such maps are crucial for constructing entanglement witnesses.</abstract><cop>United States</cop><doi>10.1103/PhysRevA.74.022308</doi></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1050-2947 |
ispartof | Physical review. A, Atomic, molecular, and optical physics, 2006-08, Vol.74 (2), Article 022308 |
issn | 1050-2947 1094-1622 |
language | eng |
recordid | cdi_osti_scitechconnect_20853025 |
source | American Physical Society Journals |
subjects | ATOMIC AND MOLECULAR PHYSICS D STATES QUANTUM ENTANGLEMENT QUANTUM NUMBERS TESTING |
title | Class of positive partial transposition states |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-21T05%3A04%3A17IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Class%20of%20positive%20partial%20transposition%20states&rft.jtitle=Physical%20review.%20A,%20Atomic,%20molecular,%20and%20optical%20physics&rft.au=Chru%C5%9Bci%C5%84ski,%20Dariusz&rft.date=2006-08-01&rft.volume=74&rft.issue=2&rft.artnum=022308&rft.issn=1050-2947&rft.eissn=1094-1622&rft_id=info:doi/10.1103/PhysRevA.74.022308&rft_dat=%3Ccrossref_osti_%3E10_1103_PhysRevA_74_022308%3C/crossref_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |