Dual unitary circuits in random geometries

Abstract Recently introduced dual unitary brickwork circuits have been recognised as paradigmatic exactly solvable quantum chaotic many-body systems with tunable degree of ergodicity and mixing. Here we show that regularity the circuit lattice is not crucial for exact solvability. We consider a where random 2-qubit gates sit at intersections arrangements straight lines in two dimensions ( mikado ) analytically compute variance spatio-temporal correlation function local operators. Note average correlator vanishes due to Haar randomness gates. The result can be physically motivated settings. first corresponds thermal state free particles carrying internal qubit degrees freedom which experience interaction kinematic crossings, while second represents rotationally symmetric (random euclidean) space-time.