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UID:0-1058@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20251121T140000
DTEND;TZID=Europe/Paris:20251121T153000
DTSTAMP:20251106T090914Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/informal-quantum-
 seminar-michele-mazzoni-universite-de-bologna/
SUMMARY:Informal quantum seminar: Michele Mazzoni (Université de Bologna) 
 - Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°530 - 21
  Nov 25 14:00
DESCRIPTION:Entanglement dynamics and Page curves in random permutation cir
 cuits\nMichele Mazzoni (Université de Bologna)\n&nbsp\;\n\nThe characteri
 zation of ensembles of many-qubit random states and their realization via 
 quantum circuits are crucial tasks in quantum-information theory. In this 
 work\, we study the ensembles generated by quantum circuits that randomly 
 permute the computational basis\, thus acting classically on the correspon
 ding states. We focus on the averaged entanglement and present two main re
 sults. First\, we derive generically tight upper bounds on the entanglemen
 t that can be generated by applying permutation circuits to arbitrary init
 ial states. We show that the late-time "entanglement Page curves'' are bou
 nded in terms of the initial state participation entropies and its overlap
  with the "maximally antilocalized'' state.  Generally speaking\, this re
 sult states that the quantum correlations generated by classical circuits 
 are bounded in terms of some quantum property of the initial state (namely
 \, the degree to which it can be written as a superposition of classical s
 tates). Second\, comparing the averaged R\\'enyi-$2$ entropies generated b
 y (i) an infinitely deep random circuit of two-qubit gates and (ii) global
  random permutations\, we show that the two quantities are different for f
 inite $N$ but the corresponding Page curves coincide in the thermodynamic 
 limit. We also discuss how these conclusions are modified by additional ra
 ndom phases or considering circuits of $k$-local gates with $k\\geq 3$. Ou
 r results are exact and highlight the implications of classical features o
 n entanglement generation in many-body systems.\n\n&nbsp\;
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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TZID:Europe/Paris
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DTSTART:20251026T020000
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