4 problems

Consider dual-unitary systems with exponentially decaying local spatiotemporal correlators. Perturbative-stability conjecture. These systems should provide an ideal setting in whic…

Let $\mathbb T$ be the space-transfer matrix of a quantum circuit, and consider the system away from the dual-unitary point. Garratt's conjecture. The leading eigenvalues of…

Dual-unitary circuits are locally interacting quantum systems in discrete space-time whose evolution is unitary in both time and space. We consider Floquet dual-unitary circuits, w…

Dual-unitary brickwork circuits and dual-unitary interaction-round-a-face (IRF) circuits are quantum many-body dynamical systems with local interactions and exactly solvable dynami…