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SUMMARY:Cécilia Lancien (Université de Toulouse)
DTSTART:20210611T083000Z
DTEND:20210611T100000Z
DTSTAMP:20260423T005744Z
UID:MEGA/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MEGA/28/">Mi
 ni-course: Quantum expander graphs</a>\nby Cécilia Lancien (Université d
 e Toulouse) as part of Séminaire MEGA\n\n\nAbstract\nThe goal of this lec
 ture is to understand what quantum expander graphs are\, what they are use
 ful for\, and how they can be constructed. We will first recall the defini
 tion of classical expander graphs\, and explain how quantum analogues of t
 hese objects can be defined. We will then show that\, both classically and
  quantumly\, random constructions provide with high probability examples o
 f expander graphs. In the quantum case\, such result is derived from a spe
 ctral analysis for random matrix models with a tensor product structure. T
 he presentation will be based\, among others\, on:\n\n-Random unitaries gi
 ve quantum expanders. M.B.Hastings. 2007.\n\n- Quantum expanders and geome
 try of operator spaces. G.Pisier. 2014\n\n- Correlation length in random M
 PS and PEPS. C.Lancien and D.Peréz-García. 2019.\n\n- Characterizing exp
 ansion\, classicaly and quantumly. C.Lancien. 2020.\n
LOCATION:https://researchseminars.org/talk/MEGA/28/
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