Tensor Network States - A Topological Field Theory Perspective

Explore the intersection of quantum information theory and topological field theory in this 55-minute conference talk from Harvard CMSA's Workshop on Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras. Delve into how projected entangled pair states (PEPS) and matrix product operators (MPO), fundamental tools in quantum information theory and quantum many-body physics, can be understood through the lens of Turaev-Viro models on manifolds with boundary. Discover how recently developed categorical Morita theory for spherical module categories provides a framework for finding generalizations of standard PEPS tensors, offering new perspectives on tensor network states from a topological field theory viewpoint.