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Some applications of hypercontractivity in quantum information theory
King, Christopher - Northeastern University
Presentation on Thursday, Oct. 10, 2019, noon
Location: MIT Room 6C-442
Hypercontractivity had its origins in Nelson’s work on nonperturbative bounds for quantum field theory. Nelson’s discovery led to the log Sobolev inequality, which later played a major role in mixing time estimates for Markov chains. After reviewing some of this history I will describe more recent applications in quantum information theory, in particular concerning mixing times for quantum semigroups, and discuss some open problems in this area.