Locally indistinguishable orthogonal product bases in arbitrary bipartite quantum system
As we know, unextendible product basis (UPB) is an incomplete basis whose members cannot be perfectly distinguished by local operations and classical communication. However, very little is known about those incomplete and locally indistinguishable product bases that are not UPBs. In this paper, we f...
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| Veröffentlicht in: | Scientific reports 2016-08, Vol.6 (1), p.31048-31048, Article 31048 |
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| creator | Xu, Guang-Bao Yang, Ying-Hui Wen, Qiao-Yan Qin, Su-Juan Gao, Fei |
| description | As we know, unextendible product basis (UPB) is an incomplete basis whose members cannot be perfectly distinguished by local operations and classical communication. However, very little is known about those incomplete and locally indistinguishable product bases that are not UPBs. In this paper, we first construct a series of orthogonal product bases that are completable but not locally distinguishable in a general
m
⊗
n
(
m
≥ 3 and
n
≥ 3) quantum system. In particular, we give so far the smallest number of locally indistinguishable states of a completable orthogonal product basis in arbitrary quantum systems. Furthermore, we construct a series of small and locally indistinguishable orthogonal product bases in
m
⊗
n
(
m
≥ 3 and
n
≥ 3). All the results lead to a better understanding of the structures of locally indistinguishable product bases in arbitrary bipartite quantum system. |
| doi_str_mv | 10.1038/srep31048 |
| format | Article |
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m
⊗
n
(
m
≥ 3 and
n
≥ 3) quantum system. In particular, we give so far the smallest number of locally indistinguishable states of a completable orthogonal product basis in arbitrary quantum systems. Furthermore, we construct a series of small and locally indistinguishable orthogonal product bases in
m
⊗
n
(
m
≥ 3 and
n
≥ 3). All the results lead to a better understanding of the structures of locally indistinguishable product bases in arbitrary bipartite quantum system.</description><identifier>ISSN: 2045-2322</identifier><identifier>EISSN: 2045-2322</identifier><identifier>DOI: 10.1038/srep31048</identifier><identifier>PMID: 27503634</identifier><language>eng</language><publisher>London: Nature Publishing Group UK</publisher><subject>639/705/1041 ; 639/766/483/481 ; Attorneys ; Banking industry ; Humanities and Social Sciences ; multidisciplinary ; Science</subject><ispartof>Scientific reports, 2016-08, Vol.6 (1), p.31048-31048, Article 31048</ispartof><rights>The Author(s) 2016</rights><rights>Copyright Nature Publishing Group Aug 2016</rights><rights>Copyright © 2016, The Author(s) 2016 The Author(s)</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c438t-4aaff57174eede0c0f24132e0a834a849c7d131a643fc40c3844b8dfbf9d7dcc3</citedby><cites>FETCH-LOGICAL-c438t-4aaff57174eede0c0f24132e0a834a849c7d131a643fc40c3844b8dfbf9d7dcc3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977494/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977494/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,727,780,784,864,885,27924,27925,41120,42189,51576,53791,53793</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/27503634$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Xu, Guang-Bao</creatorcontrib><creatorcontrib>Yang, Ying-Hui</creatorcontrib><creatorcontrib>Wen, Qiao-Yan</creatorcontrib><creatorcontrib>Qin, Su-Juan</creatorcontrib><creatorcontrib>Gao, Fei</creatorcontrib><title>Locally indistinguishable orthogonal product bases in arbitrary bipartite quantum system</title><title>Scientific reports</title><addtitle>Sci Rep</addtitle><addtitle>Sci Rep</addtitle><description>As we know, unextendible product basis (UPB) is an incomplete basis whose members cannot be perfectly distinguished by local operations and classical communication. However, very little is known about those incomplete and locally indistinguishable product bases that are not UPBs. In this paper, we first construct a series of orthogonal product bases that are completable but not locally distinguishable in a general
m
⊗
n
(
m
≥ 3 and
n
≥ 3) quantum system. In particular, we give so far the smallest number of locally indistinguishable states of a completable orthogonal product basis in arbitrary quantum systems. Furthermore, we construct a series of small and locally indistinguishable orthogonal product bases in
m
⊗
n
(
m
≥ 3 and
n
≥ 3). All the results lead to a better understanding of the structures of locally indistinguishable product bases in arbitrary bipartite quantum system.</description><subject>639/705/1041</subject><subject>639/766/483/481</subject><subject>Attorneys</subject><subject>Banking industry</subject><subject>Humanities and Social Sciences</subject><subject>multidisciplinary</subject><subject>Science</subject><issn>2045-2322</issn><issn>2045-2322</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNplkV1LwzAUhoMobsxd-Aek4I0K03ycru2NIMMvGHij4F1I07TLaJsuSYX9ezM2x9Rzk8B5ePOQF6Fzgm8JZumds6pjBEN6hIYUQzyhjNLjg_sAjZ1b4jAxzYBkp2hAkxizKYMh-pwbKep6Hem20M7rtuq1W4i8VpGxfmEq04o66qwpeumjXDjlAhoJm2tvhV1Hue6E9dqraNWL1vdN5NbOq-YMnZSidmq8O0fo4-nxffYymb89v84e5hMJLPUTEKIs44QkoFShsMQlBcKowiJlIFLIZFIQRsQUWCkBS5YC5GlR5mVWJIWUbITut7ldnzeqkKoNXjXvrG6CHjdC89-bVi94Zb44ZEkCGYSAq12ANateOc8b7aSqa9Eq0ztOUoLjYMg26OUfdGl6Gz4oUBmmwMKQQF1vKWmNC-2UexmC-aYyvq8ssBeH9nvyp6AA3GwBF1ZtpezBk__SvgE50qLD</recordid><startdate>20160809</startdate><enddate>20160809</enddate><creator>Xu, Guang-Bao</creator><creator>Yang, Ying-Hui</creator><creator>Wen, Qiao-Yan</creator><creator>Qin, Su-Juan</creator><creator>Gao, Fei</creator><general>Nature Publishing Group UK</general><general>Nature Publishing Group</general><scope>C6C</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7X7</scope><scope>7XB</scope><scope>88A</scope><scope>88E</scope><scope>88I</scope><scope>8FE</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>LK8</scope><scope>M0S</scope><scope>M1P</scope><scope>M2P</scope><scope>M7P</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>20160809</creationdate><title>Locally indistinguishable orthogonal product bases in arbitrary bipartite quantum system</title><author>Xu, Guang-Bao ; Yang, Ying-Hui ; Wen, Qiao-Yan ; Qin, Su-Juan ; Gao, Fei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c438t-4aaff57174eede0c0f24132e0a834a849c7d131a643fc40c3844b8dfbf9d7dcc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>639/705/1041</topic><topic>639/766/483/481</topic><topic>Attorneys</topic><topic>Banking industry</topic><topic>Humanities and Social Sciences</topic><topic>multidisciplinary</topic><topic>Science</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xu, Guang-Bao</creatorcontrib><creatorcontrib>Yang, Ying-Hui</creatorcontrib><creatorcontrib>Wen, Qiao-Yan</creatorcontrib><creatorcontrib>Qin, Su-Juan</creatorcontrib><creatorcontrib>Gao, Fei</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Health & Medical Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>ProQuest Biological Science Collection</collection><collection>Health & Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>Science Database</collection><collection>Biological Science Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central Basic</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Scientific reports</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xu, Guang-Bao</au><au>Yang, Ying-Hui</au><au>Wen, Qiao-Yan</au><au>Qin, Su-Juan</au><au>Gao, Fei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Locally indistinguishable orthogonal product bases in arbitrary bipartite quantum system</atitle><jtitle>Scientific reports</jtitle><stitle>Sci Rep</stitle><addtitle>Sci Rep</addtitle><date>2016-08-09</date><risdate>2016</risdate><volume>6</volume><issue>1</issue><spage>31048</spage><epage>31048</epage><pages>31048-31048</pages><artnum>31048</artnum><issn>2045-2322</issn><eissn>2045-2322</eissn><abstract>As we know, unextendible product basis (UPB) is an incomplete basis whose members cannot be perfectly distinguished by local operations and classical communication. However, very little is known about those incomplete and locally indistinguishable product bases that are not UPBs. In this paper, we first construct a series of orthogonal product bases that are completable but not locally distinguishable in a general
m
⊗
n
(
m
≥ 3 and
n
≥ 3) quantum system. In particular, we give so far the smallest number of locally indistinguishable states of a completable orthogonal product basis in arbitrary quantum systems. Furthermore, we construct a series of small and locally indistinguishable orthogonal product bases in
m
⊗
n
(
m
≥ 3 and
n
≥ 3). All the results lead to a better understanding of the structures of locally indistinguishable product bases in arbitrary bipartite quantum system.</abstract><cop>London</cop><pub>Nature Publishing Group UK</pub><pmid>27503634</pmid><doi>10.1038/srep31048</doi><tpages>1</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | 639/705/1041 639/766/483/481 Attorneys Banking industry Humanities and Social Sciences multidisciplinary Science |
| title | Locally indistinguishable orthogonal product bases in arbitrary bipartite quantum system |
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