Measurement-induced phase transitions in quantum raise-and-peel models

We present a quantum circuit model which emulates the interface growth of the classical raise-and-peel model. Our model consists of Clifford unitary gates interspersed with projective measurements, applied according to prescribed constrained update rules. We numerically find via large-scale simulations that, depending on the constrained update rules, the system may undergo several measurement-induced entanglement transitions, including continuous transitions as well as a second phase transition which we interpret using a biased random walk picture. We present a quantum circuit model which emulates the interface growth of the classical raise-andpeel model. Our model consists of Clifford unitary gates interspersed with projective measurements, applied according to prescribed constrained update rules. Through large-scale numerical simulations, we find that the system, depending on the constrained update rules, may undergo several measurement-induced entanglement transitions. These include continuous transitions observed in previously studied hybrid circuits and a phase transition, which we interpret using a biased random walk picture.