Aleksander Kubica: Unfolding the color code

Aleksander Kubica, California Institute of Technology

The topological color code and the toric code are two leading candidates for realizing fault-tolerant quantum computation. In the talk, I will introduce these two models and show their equivalence in d dimensions. I will describe codes with or without boundaries, and explain what insights one gets in the former case by looking at the condensation of anyonic excitations on the boundaries. I will conclude with a recipe of how one can implement fault-tolerantly a logical non-Pauli gate in the toric code in d dimensions.
This is a joint work with Beni Yoshida and Fernando Pastawski.
http://arxiv.org/abs/1503.02065