Colloquium: Michael Walter

Quantum information in tensor networks

Michael Walter, Stanford University

In this talk, we explore how quantum information is encoded in tensor networks. To this end, we study the properties of random tensor networks with large bond dimension. We find that, from the perspective of quantum information theory, entanglement emerges from the geometry of the network by a multipartite entanglement distillation process. We further consider bulk-boundary or `holographic' correspondences induced by random tensor networks, and discuss their properties as quantum error-correcting codes with interesting locality properties. We conclude with some remarks on the role of tensor network models in recent research at the interface of quantum information theory and quantum gravity.