Speaker
Zhenghan Wang, UC Santa Barbara
Abstract
Given an anyon model B, the space of gapped Hamiltonians that realize this anyon model B is conjectured to be the classifying space of the categorical 2-group Pic(B) of the anyon model B. We initiate a mathematical formulation of this conjecture based on the space of quantum interactions, and describe the conjectured homotopy and cohomology groups based on quantum error correction code and field theory.