This colloquium will be given by Brian Swingle of Stanford University.

Abstract: This talk is concerned with two ideas: that black holes can be viewed as highly entangled quantum information processing devices and that there exist fundamental bounds on the dynamics of quantum field theories. These two ideas are connected by holographic duality which relates quantum gravity and quantum field theory. I will first review how ideas of quantum entanglement, quantum information scrambling, and computational complexity have contributed to our understanding of black holes. Then I will argue that a natural next step is to begin testing these ideas in the lab using recent advances in the coherent manipulation of quantum many-body systems. Focusing on information scrambling, I will present an experimental proposal, feasible with existing technology, to measure so-called out-of-time-order correlations which probe information scrambling. I will then discuss broadly what we can learn about quantum field theory and quantum gravity using such measurements.