Entanglement transition in the projective transverse field Ising model

Random quantum circuits have emerged as useful toy models for entanglement transitions in quantum many-body systems. Here, the authors study a projective version of the transverse-field Ising model without unitary dynamics where the competition between two noncommuting measurements drives an entanglement transition. The authors identify a nonlocal classical process that captures the entanglement dynamics and relate the model to bond percolation in space-time. This leads to a conformal field theory description of the system at criticality which they verify numerically for large systems.