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SUMMARY:Fundamental limits on Correlated Catalytic State Transformations -
  Roberto Rubboli\, Centre for Quantum Technologies\, National University o
 f Singapore
DTSTART:20221006T131500Z
DTEND:20221006T141500Z
UID:TALK183101@talks.cam.ac.uk
CONTACT:Damian Pitalua-Garcia
DESCRIPTION:Determining whether a given state can be transformed into a ta
 rget state using free operations is one of the fundamental questions in th
 e study of resource theories. Free operations in resource theories can be 
 enhanced by allowing for a catalyst system that assists the transformation
  and is returned unchanged\, but potentially correlated\, with the target 
 state. While this has been an active area of recent research\, very little
  is known about the necessary properties of such catalysts. Here\, we prov
 e fundamental limits applicable to a large class of correlated catalytic t
 ransformations by showing that a small residual correlation between cataly
 st and target state implies that the catalyst needs to be highly resourcef
 ul. In fact\, the resources required diverge in the limit of vanishing res
 idual correlation. In addition\, we establish that in imperfect catalysis 
 a small error generally implies a highly resourceful embezzling catalyst. 
 We develop our results in a general resource theory framework and discuss 
 its implications for the resource theory of athermality\, the resource the
 ory of coherence and entanglement theory.\n\n\nArxiv link : https://arxiv.
 org/abs/2111.13356
LOCATION:Zoom
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