Quantum Information Learning Seminar: Xinan Chen "Monotonicity of relative entropy"

Event Type

Seminar/Symposium

Sponsor

Math Dept.

Location

241 Altgeld Hall

Date

Oct 25, 2019   5:00 pm  

Speaker

Xinan Chen, Illinois

Contact

Becky McDuffee

E-Mail

mcduffbe@illinois.edu

Phone

217-300-0898

Originating Calendar

IQUIST Events Calendar

Use Lieb's concavity theorem to show relative entropy is monotone decreasing under quantum channels. This is also known as data processing inequality (DPI). I will also present a short proof for subadditivity and strong subadditivity using DPI.