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DTSTAMP:20250803T090332Z
DESCRIPTION:Title: Probing sign structure using measurement-induced entangl
 ement.\n\nAbstract: The sign structure of quantum states is closely connec
 ted to quantum phases of matter\, yet detecting such fine-grained properti
 es of amplitudes is subtle.  Here we employ as a diagnostic measurement-in
 duced entanglement (MIE)-- the average entanglement generated between two 
 parties after measuring the rest of the system.  We propose that for a sig
 n-free state\, the MIE upon measuring in the sign-free basis decays no slo
 wer than the slowest correlation function of the state.  Concretely\, we p
 rove that MIE is upper bounded by mutual information for sign-free stabili
 zer states\, which establishes a bound between scaling dimensions of confo
 rmal field theories describing measurement-induced critical points in stab
 ilizer systems.  We also verify our proposal in several critical ground st
 ates of one-dimensional systems\, including the transverse field Ising\, t
 ri-critical Ising\, and 3-state Potts models.  In contrast\, for states wi
 th sign structure\, such bounds can be violated\, as we illustrate in crit
 ical hybrid circuits involving both Haar or Clifford random unitaries and 
 measurements\, and gapless symmetry-protected topological states.\n
DTSTART:20221108T203000Z
DTEND:20221108T213000Z
SUMMARY:Timothy H. Hsieh\, Perimeter Institute for Theoretical Physics
URL:/mathstat/channels/event/timothy-h-hsieh-perimeter
 -institute-theoretical-physics-343175
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