Using non-positive maps to characterize entanglement witnesses
In this paper we present a new method for entanglement witnesses construction. We show that to construct such an object we can deal with maps which are not positive on the whole domain, but only on a certain sub-domain. In our approach a crucial role is played by such maps which are surjective betwe...
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| Veröffentlicht in: | Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2015-10, Vol.48 (39), p.395302-11 |
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| container_title | Journal of physics. A, Mathematical and theoretical |
| container_volume | 48 |
| creator | Mozrzymas, Marek Rutkowski, Adam Studzi ski, Micha |
| description | In this paper we present a new method for entanglement witnesses construction. We show that to construct such an object we can deal with maps which are not positive on the whole domain, but only on a certain sub-domain. In our approach a crucial role is played by such maps which are surjective between sets of rank projectors and the set of rank one projectors acting in the d dimensional space. We argue that our method can be used to check whether a given observable is an entanglement witness. In the second part of this paper we show that an inverse reduction map satisfies this requirement and using it we can obtain a bunch of new entanglement witnesses. |
| doi_str_mv | 10.1088/1751-8113/48/39/395302 |
| format | Article |
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A, Mathematical and theoretical</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mozrzymas, Marek</au><au>Rutkowski, Adam</au><au>Studzi ski, Micha</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Using non-positive maps to characterize entanglement witnesses</atitle><jtitle>Journal of physics. A, Mathematical and theoretical</jtitle><stitle>JPA</stitle><addtitle>J. Phys. A: Math. Theor</addtitle><date>2015-10-02</date><risdate>2015</risdate><volume>48</volume><issue>39</issue><spage>395302</spage><epage>11</epage><pages>395302-11</pages><issn>1751-8113</issn><eissn>1751-8121</eissn><coden>JPHAC5</coden><abstract>In this paper we present a new method for entanglement witnesses construction. We show that to construct such an object we can deal with maps which are not positive on the whole domain, but only on a certain sub-domain. 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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Construction Entanglement entanglement witness Formulas (mathematics) Inverse Mathematical analysis positive map Projectors separability Texts |
| title | Using non-positive maps to characterize entanglement witnesses |
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