Seung-Moon Hong

Universal quantum computation with weakly integral anyons

Harnessing non-abelian statistics of anyons to perform quantum computational tasks is getting closer to reality. While the existence of universal anyons by braiding alone such as the Fibonacci anyon is theoretically a possibility, accessible anyons with current technology all belong to a class that is called weakly integral—anyons whose squared quantum dimensions are integers. We analyze the computational power of the first non-abelian anyon system with only integral quantum dimensions—

Low-dimensional representations of the three component loop braid group

D(S_3)

INVARIANTS OF LINKS FROM THE GENERALIZED YANG-BAXTER EQUATION

D(S3), the quantum double of

ON EXOTIC MODULAR TENSOR CATEGORIES

S_3

On the classification of the Grothendieck rings of non-self-dual modular categories

S3. Since all anyons in