Title: [Joint CQSE & NCTS Seminar] Matrix concentration in quantum simulation and quantum dynamics
Speaker: Mr. Chi-Fang Chen (California Institute of Technology)
Time: Oct. 14, 2022, 14:30-15:30
Place: Rm. 104, Chin-Pao Yang Lecture Hall, CCMS & New Physics Building, NTU
Online: https://nationaltaiwanuniversity-zbh.my.webex.com/nationaltaiwanuniversity-zbh.my/j.php?MTID=mfb9740abc62590ec301de893cd73304b

Abstract:
The Hilbert space is large, but an important structure is locality: physical Hamiltonians are
often a sum over k-body terms. In this talk, I will draw connection between locality and matrix
concentration in two different examples: quantum simulation using product formula enjoys an
average-case v.s. worst case speedup [2111.05324]; Quantum dynamics in power-law
interacting systems can be qualitatively different in the worst case and average case
[2105.09960][2001.11509][1907.07637].

Biography:
Chi-Fang Chen (陳麒方), a physics Phd Student at California
Institute of Technology advised by Fernando G.S.L. Brandao. My
research focuses on the interplay between math and physics in
quantum information theory and quantum dynamics, where vague
phenomena in physics become provable in simple concrete models.
Topics include quantum dynamic bounds, random matrix theory,
thermodynamics, and quantum simulation. Before Caltech, I studied
at NTU physics in the last year of high school. I was a physics (but
defacto math) major at Stanford University and worked in Patrick Hayden's group.