Pure mathematics seminar: Jonas Eidesen

Event Details

Speaker: Jonas Eidesen (Newcastle). Title: Projective error models

Abstract: In this talk I will attempt to give an introduction to quantum error correction from the point of view of projective representation theory. The value of a group-theoretic approach to quantum error correction was exemplified by Gottesman in his thesis on Pauli stabilizer codes. Knill later generalized the stabilizer code construction by Gottesman and defined what is now called Clifford codes and exemplified the stabilizer codes as a subclass of the Clifford codes. In my thesis I defined a third class of codes, called weak stabilizer codes, which also generalizes the class of stabilizer codes by Gottesman. I will attempt to paint a picture of how these three classes of codes are connected using the language of projective representation theory. This talk will be based on my preprint titled "Projective error models: stabilizer codes, Clifford codes, and weak stabilizer codes".