In this talk, I show how a dynamical entanglement transition in a monitored quantum system is revealed by a local order parameter with the addition of feedback. Classically, chaotic systems can be stochastically controlled onto unstable periodic orbits and exhibit controlled and uncontrolled phases as a function of the rate at which the control is applied. We show that such control transitions persist in open quantum systems where control is implemented with local measurements and unitary feedback. Starting from a simple classical model with a known control transition, we define a quantum model that exhibits a diffusive transition between a chaotic volume-law entangled phase and a disentangled controlled phase. Unlike other entanglement transitions in monitored quantum circuits, this transition can also be probed by correlation functions without resolving individual quantum trajectories. Building on this, we define a version of this model with classically simulable stabilizer circuits and show that not only does the entanglement transition separate from the control transition, but it returns to the universality class found for the 1+1D entanglement transition in hybrid stabilizer circuits.
