In the past years dual-unitary circuits have gained intense attention as minimal models for quantum many-body dynamics. Dual-unitary models are characterized by an underlying space-time duality, which allows for exact calculations of thermalization, scrambling and entanglement dynamics. Next to these exact results on their dynamics, space-time duality allows aspects of quantum chaos and connections to random matrix theory to be explicitly established. In this way dual-unitary circuits present a rare class of models that are both exactly solvable and provably chaotic, as well as being tailor-made for experimental realization in digital quantum computing setups. In this talk I will review dual-unitarity and highlight recent developments extending dual-unitarity.

Pieter Claeys did his PhD research at Ghent University, Belgium, and the University of Amsterdam, The Netherlands. After obtaining his PhD in 2018, Pieter was a postdoctoral researcher at Boston University, U.S.A., and the University of Cambridge, U.K., before starting his research group "Dynamics of Quantum Information" at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany. His research group studies various aspects of quantum many-body dynamics through the lens of quantum information, with research interests including quantum chaos and geometry, integrable systems, Floquet dynamics, and quantum circuits.