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Mapping cones and separable states
Authors:Erling?St?rmer  author-information"  >  author-information__contact u-icon-before"  >  mailto:erlings@math.uio.no"   title="  erlings@math.uio.no"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author  author-information__orcid u-icon-before icon--orcid u-icon-no-repeat"  >  http://orcid.org/---"   itemprop="  url"   title="  View OrcID profile"   target="  _blank"   rel="  noopener"   data-track="  click"   data-track-action="  OrcID"   data-track-label="  "  >View author&#  s OrcID profile
Affiliation:1.Department of Mathematics,University of Oslo,Oslo,Norway
Abstract:We study mapping cones and their dual cones of positive maps of the (ntimes n) matrices into itself. For a natural class of cones there is a close relationship between maps in the cone, super-positive maps, and separable states. In particular the composition of a map from the cone with a map in the dual cone is super-positive, and so the natural state it defines is separable.
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