Decoding non-Abelian topological order

Topological orders (TO) arise from highly entangled quantum systems and exhibit a wide range of rich physical phenomena. With the realization of TOs on quantum devices, the stability of these entangled quantum states against decoherence has become of growing relevance. ­­­For Abelian TOs, such as the toric code, the error correction problem is well understood and many decoding algorithms have been developed. In this talk, we extend these ideas to certain non-Abelian TOs and explore the stabilization of non-Abelian TOs through quantum error correction techniques.