Hi all,

Below is the title and abstract for Tamara Kohler’s talk.

Best,

Joe

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Title: Complete Toy Models of Holographic Duality

Abstract: This talk will discuss recent work applying quantum information theory techniques to construct toy models of the AdS/CFT correspondence. The AdS/CFT correspondence is a conjectured duality between quantum gravity in (d+1) dimensional asymptotically AdS space, and a conformal field theory defined on its boundary. It has recently been pointed out that the emergence of bulk locality in AdS/CFT can be characterised in terms of quantum error correcting codes. This has led to the construction of holographic quantum error correcting codes (HQECC) which are toy models of the duality. However, in previous HQECC the boundary Hamiltonian which results from mapping a local bulk Hamiltonian to the boundary is a non-local Hamiltonian, with global terms that act over the entire boundary. In this work we combine previous HQECC results with the theory of Hamiltonian simulation to construct a bulk-boundary model between local Hamiltonians. This mapping of local Hamiltonians extends the toy models to encompass the relationship between bulk and boundary energy scales, and in particular the mapping between bulk and boundary time dynamics. We discuss what insight this gives into toy models of black hole formation.