QLunch: David Kribs

Speaker: Prof. David Kribs, University of Guelph, Canada

Title: Unified and Generalized Approach to Entanglement-Assisted Quantum Error Correction

Abstract: The idea of using entanglement as a resource in quantum computing and communication has been around for a long time. Two decades ago, 'entanglement-assisted' quantum codes were introduced in quantum error correction (EAQEC) as a resource for boosting transmission rates when a sender and receiver share pre-existing entanglement. Shortly thereafter, a pair of generalizations of EAQEC were formulated for 'subsystem codes' and for the classical enhancement of quantum code transmission. As it turns out, each of these three types of code can be viewed as special cases of a general framework for EA codes built on an operator algebra approach to quantum error correction (OAQEC). In addition to unifying these code types under a single umbrella, the resulting framework (EAOAQEC) yields new types of EA codes.

In this talk, I'll start with a brief review of OAQEC and a recent extension of the stabilizer formalism to that setting. Then I'll discuss the EAOAQEC framework and present some of our results. This talk is based on joint work with Serge Adonsou, Guillaume Dauphinais, Priya Nadkarni, and Michael Vasmer.