Tensor Network Toy Models of Holographic Dualities - Locality and Causality
Explore the intricacies of holographic quantum error correcting codes (HQECC) as toy models for the AdS/CFT correspondence in this one-hour lecture by Tamara Kohler from Stanford University. Delve into the combination of HQECC with Hamiltonian simulation theory to construct a bulk-boundary mapping between local Hamiltonians while maintaining the features of the HQECC duality. Examine how this approach allows for the creation of a duality between models, encompassing the relationship between bulk and boundary energy scales and time dynamics. Learn about modifications to these models that introduce expected causal properties of AdS/CFT, and consider the features of the duality that are still missing from these toy models. This talk is part of the Quantum Complexity: Quantum PCP, Area Laws, and Quantum Gravity series at the Simons Institute.