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SUMMARY:On the quantum KKL theorem and related inequalities - Haonan Zhang
 \, University of South Carolina
DTSTART:20241129T123000Z
DTEND:20241129T133000Z
UID:TALK225199@talks.cam.ac.uk
CONTACT:Subhayan Roy Moulik
DESCRIPTION:The KKL theorem is a fundamental result in Boolean function an
 alysis\, stating that any Boolean function has an influential variable. Mo
 ntanaro and Osborne proposed a quantum extension of Boolean functions. In 
 this context\, some classical results have been extended to the quantum se
 tting\, such as Talagrand's L1 - L2 inequality. However\, a quantum versio
 n of the KKL theorem seems to be missing\, as conjectured by Montanaro and
  Osborne. In this talk\, I will present an alternative answer to this ques
 tion\, saying that every balanced quantum Boolean function has a geometric
 ally influential variable. This is based on joint work with Cambyse Rouzé
  and Melchior Wirth.
LOCATION:MR15
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