Matrix Product Operator Algebras II: Phases of Matter for 1D Mixed States

Understand

The classification of topological phases of matter is fundamental to understand and characterize the properties of quantum materials.

• In this paper we study phases of matter in one-dimensional open quantum systems.
• We define two mixed states to be in the same phase if both states can be transformed into the other by a shallow circuit of local quantum channels.
• We aim to understand the phase diagram of matrix product density operators that are renormalization fixed points.