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SUMMARY:Bounds on quantum evolution complexity via lattice cryptography - 
 Marine De Clerck\, DAMTP
DTSTART:20221110T130000Z
DTEND:20221110T140000Z
UID:TALK184280@talks.cam.ac.uk
CONTACT:85816
DESCRIPTION:I will present some results from arXiv:2202.13924\, where we a
 ddressed the difference between integrable and chaotic motion in quantum t
 heory as manifested by the complexity of the corresponding evolution opera
 tors. The notion of complexity of interest to us will be Nielsen’s compl
 exity applied to the time-dependent evolution operator of the quantum syst
 ems. I will review Nielsen’s complexity\, discuss the difficulties assoc
 iated with this definition and introduce a simplified approach which appea
 rs to retain essential information about the integrable properties of the 
 dynamical systems.\n
LOCATION:Potter Room\, DAMTP
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