Dear all,
We are excited to have Prof. Henry Yuen (Columbia University) as our Quantum Information
Seminar speaker TODAY from 4:30-5:30 pm in Northwest Building room B103. The details of
the talk are as follows:
Title: Towards a Complexity Theory for the Quantum Age
Abstract: How hard is it to compress a quantum state? To fast-forward the evolution of a
local Hamiltonian? To unscramble the Hawking radiation of a black hole? Traditional
complexity theory -- which is centered around decision problems and tasks with classical
inputs and outputs -- appears inadequate for reasoning about the complexity of such tasks
involving quantum inputs and outputs.
I'll discuss why we need a "fully quantum" complexity theory, and will
describe some facets of such a theory. As a key illustration I'll explain how a
"fully quantum" task called the Uhlmann Transformation Problem characterizes the
complexity of seemingly unrelated problems, such as decoding noisy quantum channels,
performing the Harlow-Hayden black hole radiation decoding task, and breaking the security
of quantum bit commitment schemes. I will describe some of the many open problems and
directions to explore in the world of fully quantum complexity theory.
Bio: Henry Yuen is an Associate Professor of Computer Science at Columbia University. His
research focuses on the interplay between quantum computing, complexity theory,
cryptography, and information theory. Yuen received a BA in mathematics from the
University of Southern California in 2010, and received his PhD in computer science at MIT
in 2016. He is a recipient of the NSF CAREER award and a Sloan Fellowship.
Sincerely,
Jordan Cotler
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