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SUMMARY:Entanglement fluctuation theorems - Lluis Masanes\, UCL
DTSTART:20171102T141500Z
DTEND:20171102T151500Z
UID:TALK86891@talks.cam.ac.uk
CONTACT:Steve Brierley
DESCRIPTION:Pure state entanglement transformations have been thought of a
 s irreversible\, with reversible transformations generally only possible i
 n the limit of many copies. Here\, we show that reversible entanglement tr
 ansformations do not require processing on the many copy level\, but can i
 nstead be undertaken on individual systems\, provided the amount of entang
 lement which is produced or consumed is allowed to fluctuate coherently. W
 e derive necessary and sufficient conditions for pure-state entanglement m
 anipulations in this case. As a corollary\, we derive an equation which qu
 antifies the fluctuations of entanglement\, which is formally identical to
  the Jarzynski fluctuation equality found in thermodynamics. One can also 
 relate a forward entanglement transformation to its reverse process in ter
 ms of the entanglement cost of such a transformation\, in a manner equival
 ent to the Crooks relation. 
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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