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X-PUBLISHED-TTL:P1W
BEGIN:VEVENT
UID:6aa423995482e
DTSTART:20260918T093000Z
SEQUENCE:0
TRANSP:OPAQUE
DTEND:20260918T100000Z
LOCATION:Seminar Room
SUMMARY:ICFO | BARBARA JASSER
CLASS:PUBLIC
DESCRIPTION:The first layer of quantumness in a many-body quantum state is 
 embodied by entanglement\, the resource for quantum correlations. However\
 , when addressing quantum complexity\, entanglement alone is not sufficien
 t. One must go beyond\, and consider the so-called non-stabilizerness (or 
 magic). It is well known that a state can be maximally entangled yet class
 ically simulable\, as shown by the Gottesman&ndash\;Knill theorem. On the 
 other hand\, states with low entanglement but high magic can still be simu
 lated efficiently using tensor network techniques. Hence\, the interplay b
 etween entanglement and non-stabilizerness is crucial to understand the em
 ergence of quantum complexity.\nIn this talk\, we will explore the concept
  of antiflatness to characterize the structural fluctuations within the en
 tanglement spectrum of a quantum state (i.e.\, the spectrum of its reduced
  density operator). As a measure of the interplay between entanglement and
  magic\, antiflatness provides second-order information about quantum corr
 elations that standard average measures fail to capture. Standard majoriza
 tion theory orders states by purity and is structurally blind to spectral 
 fluctuations\, So we introduce a novel partial ordering known as antiflat-
 majorization and define Flatness-Preserving Operations\, obtaining new nec
 essary conditions for quantum-state convertibility. We also unify several 
 antiflatness measures through escort distributions and Bregman divergences
 \, connecting the Capacity of Entanglement to Quantum Fisher Information. 
 Finally\, we demonstrate that absolute maximal antiflatness is not achieve
 d by a single universal state\, but rather by a continuous Pareto frontier
  of extremal states with jump spectra\, and we analyze the typicality of t
 hese spectral fluctuations using Haar\, Bures-Hall and t-doped Clifford ra
 ndom state ensembles.
DTSTAMP:20260911T155153Z
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