Conformal Quantum Cellular Automata

Abstract: First, I will motivate the use of unitary circuits in quantum many-body physics. Second, I will introduce a family of quantum callular automata in 1+1 dimensions consisting of dual-unitary circuits. The symmetry of these QCAs is a discrete version of the conformal group, hence, these models inheritate many features of conformal field theory. With the same dual unitaries I will construct tensor-network states and interpret them as spatial slices of curved 2+1 discrete geometries. The QCA induces a dynamics on these (bulk) geometries which reproduces gravitational phenomena like gravitational time dilation, the formation of black holes and the growth of their throat.

quantum physics

Audience: researchers in the topic

Quantum Spain