Hamiltonian Simulation Meets Holographic Duality - IPAM at UCLA

Explore the intersection of Hamiltonian simulation and holographic duality in this 50-minute lecture by Toby Cubitt from University College London. Delve into the rigorous theoretical foundations of analogue Hamiltonian simulation, drawing from Hamiltonian complexity theory and Jordan algebras. Discover how this formalism led to breakthroughs in universal quantum Hamiltonians and extended toy models of AdS/CFT duality to include energy scales, dynamics, and black hole formation. Examine the limitations of tensor networks as models for AdS/CFT and consider potential future directions in this field. Recorded at IPAM's Topology, Quantum Error Correction and Quantum Gravity Workshop, this talk bridges the gap between seemingly unrelated topics, offering insights into quantum gravity, strongly interacting field theories, and their connections to quantum error-correcting codes.