A Tale of Turing Machines, Quantum-Entangled Particles, and Operator Algebras


Henry Yuen


University of Toronto


Friday, 30 April 2021, 17:15 to 18:15


Below event would be a screening of a past talk by Henry Yuen (available on YouTube) with the same title.

In a recent result known as "MIP* = RE," ideas from three disparate fields of study — computational complexity theory, quantum information, and operator algebras — have come together to simultaneously resolve long-standing open problems in each field, including a 44-year old mystery in mathematics known as Connes’ Embedding Problem. In this talk, I will describe the evolution and convergence of ideas behind MIP* = RE: it starts with three landmark discoveries from the 1930s (Turing’s notion of a universal computing machine, the phenomenon of quantum entanglement, and von Neumann’s theory of operators), and ends with some of the most cutting-edge developments from theoretical computer science and quantum computing.

This talk is aimed at a general scientific audience, and will not assume any specialized background in complexity theory, quantum physics, or operator algebras.

Zoom link: https://zoom.us/j/98132227553?pwd=K2cyQllKVjExdUhlRm0vc0ZHcEt0Zz09