Localizable Entanglement as an Order Parameter for Measurement-Induced Phase Transitions
The study identifies localizable entanglement (LE) as an order parameter for measurement-induced phase transitions (MIPT). LE quantifies the maximal entanglement that can be concentrated between distant sites via local measurements. This length scale diverges at a critical measurement probability, providing a universal scaling behavior that connects MIPTs to classical percolation and offers an operational interpretation of how quantum information propagates under monitoring.