Speaker
Yoshiko Ogata, Research Institute for Mathematical Sciences (RIMS), Kyoto
Abstract
The classification of mixed-state topological order requires indices
that behave monotonically under finite-depth quantum channels. In two
dimensions, a braided C∗-tensor category, which corresponds to strong
symmetry, arises from a state satisfying approximate Haag duality. I
would like to explain that the S-matrix and topological twists of the
braided C∗-tensor category are quantities that are monotone under
finite-depth quantum channels.