Quantum Error Correction and Operator Algebras
Abstract: 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.
Bio: David Kribs has been a professor at the University of Guelph in Canada since 2003. He obtained a PhD in Pure Mathematics from the University of Waterloo, and then followed that with NSERC postdoctoral fellowship supported positions at the University of Iowa, Purdue University, Lancaster University and the Institute for Quantum Computing. Over the past two decades, he has held short-term visiting positions at various locations in Africa and Europe. David has been awarded an Ontario Early Researcher Award, NSERC Discovery Accelerator, and a University Research Chair while at Guelph. His research interests are in the mathematics of quantum information, with emphasis on quantum error correction, entanglement theory, quantum channel theory, quantum cryptography, and the connections between theoretical and experimental quantum information science.