David Kribs, University of Guelph
"Quantum error correction and operator algebras"
Quantum error correction is a central topic in quantum information science. Its origins as an independent field of study go back more than a quarter century, and it now arises in almost every part of the subject, including in recent years as a key area of focus in the development of new quantum technologies.
A little over two decades ago, I began working in quantum information after receiving (excellent) doctoral and postdoctoral training primarily in operator theory and operator algebras. My initial works with several (very bright) collaborators focussed on bringing an operator algebra perspective and tools to the subject of quantum error correction. This led to the discovery of what's called 'operator' and 'operator algebra' quantum error correction (OAQEC), and related notions such as 'subsystem codes'. Recently, interest in the OAQEC approach has been renewed through applications of the approach in black hole theory, and a recognition of it as an appropriate error correction framework for hybrid classical-quantum information processing.
In this talk, I'll give a (brief) introduction to quantum error correction and the OAQEC formulation and its basic results. Time permitting, I'll also discuss very recent related work I've been doing with scientists at Xanadu Quantum Technologies in Toronto.