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SUMMARY:General state transitions with exact resource morphisms: a unified
  resource-theoretic approach - Zhou Wenbin\, Nagoya University
DTSTART:20201106T110000Z
DTEND:20201106T120000Z
UID:TALK151270@talks.cam.ac.uk
CONTACT:40340
DESCRIPTION:Given a non-empty closed convex subset F of density matrices\,
  we formulate conditions that guarantee the existence of an F-morphism (na
 mely\, a completely positive trace-preserving linear map that maps F into 
 itself) between two arbitrarily chosen density matrices. While we allow er
 rors in the transition\, the corresponding map is required to be an exact 
 F-morphism. Our findings\, though purely geometrical\, are formulated in a
  resource-theoretic language and provide a common framework that comprises
  various resource theories\, including the resource theories of bipartite 
 and multipartite entanglement\, coherence\, athermality\, and asymmetric d
 istinguishability. We show how\, when specialized to some situations of ph
 ysical interest\, our general results are able to unify and extend previou
 s analyses. We also study conditions for the existence of maximally resour
 ceful states\, defined here as density matrices from which any other one c
 an be obtained by means of a suitable F-morphism. Moreover\, we quantitati
 vely characterize the paradigmatic tasks of optimal resource dilution and 
 distillation\, as special transitions in which one of the two endpoints is
  maximally resourceful. \n\nReferences\n\n1) https://arxiv.org/abs/2005.09
 188 \n\nZoom Link\n\nPlease click the link below to join the webinar:\nhtt
 ps://us02web.zoom.us/j/86846521451?pwd=M0VUSE5wTEJwSndCbEx0VUtqNHpuZz09\nP
 asscode: 226745
LOCATION:Virtually\, at Zoom
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