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SUMMARY:Chaos in quantum channels - Dan Roberts\, MIT
DTSTART:20160211T130000Z
DTEND:20160211T140000Z
UID:TALK62840@talks.cam.ac.uk
CONTACT:Nima Doroud
DESCRIPTION:Motivated by black hole physics and holography\, we study chao
 s\, scrambling\, and complexity by considering the entanglement properties
  of unitary operators. First\, we develop a diagnostic of chaos by directl
 y considering the time evolution of a simple local operator. This leads us
  to out-of-time-order (OTO) four-point functions as an indicator of the st
 rength of the butterfly effect\, and we provide a model calculation of suc
 h correlators in 1+1-dimensional CFT. Next\, we propose and elaborate on t
 he negativity of the tripartite information as a measure of the informatio
 n-theoretic notion of scrambling. By taking an average of OTO correlators 
 over two regions separated in space and time\, we show that the butterfly 
 effect implies scrambling. Finally\, we show that these measures of scramb
 ling and chaos do not distinguish between scrambled states of low complexi
 ty and generic states of high complexity. This leads us to conjecture that
  the complexity of the time-evolution operator is holographically dual to 
 the action of the black hole interior.
LOCATION:Potter Room (first floor\, Pav. B)
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