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DTSTAMP:20220526T182046Z
UID:62664636f01f1733354642@ist.ac.at
DTSTART:20220523T110000
DTEND:20220523T120000
DESCRIPTION:Speaker: Andrea Pizzi\nhosted by Maksym Serbyn\nAbstract: The f
undamental question of how information spreads in closed quantum many-body
systems is often addressed through the lens of the bipartite entanglement
entropy\, a quantity that describes correlations in a comprehensive (nonl
ocal) way. Among the most striking features of the entanglement entropy ar
e its unbounded linear growth in the thermodynamic limit\, its asymptotic
extensivity in finite-size systems\, and the possibility of measurement-in
duced phase transitions\, all of which have no obvious classical counterpa
rt. Here\, we show how these key qualitative features emerge naturally als
o in classical information spreading\, as long as one treats the classical
many-body problem on par with the quantum one\, that is\, by explicitly a
ccounting for the exponentially large classical probability distribution.
Our analysis is supported by extensive numerics on prototypical cellular a
utomata and Hamiltonian systems\, for which we focus on the classical mutu
al information and also introduce a classical entanglement entropy'. Our s
tudy sheds light on the nature of information spreading in classical and q
uantum systems\, and opens new avenues for quantum-inspired classical appr
oaches across physics\, information theory\, and statistics.
LOCATION:Heinzel Seminar Room / Office Bldg West (hybrid enabled) (I21.EG.1
01)\, ISTA
ORGANIZER:cpetz@ist.ac.at
SUMMARY:Andrea Pizzi: Bridging the gap between classical and quantum many-b
ody information dynamics
URL:https://talks-calendar.app.ist.ac.at/events/3721
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