Measurement-induced entanglement phase transitions (MIET) highlight how local measurements drive quantum systems between area-law and volume-law entangled states. This review surveys MIET in free fermion models, focusing on how unitary hopping competes with measurement-induced non-unitarity. We discuss controversies regarding the existence of MIET in one dimension, the impact of non-Hermitian skin effects, and potential experimental platforms. We conclude with open challenges, including feedback control and higher-dimensional extensions.
@article{arxiv.2503.21427,
title = {Measurement-Induced Entanglement Phase Transition in Free Fermion Systems},
author = {Han-Ze Li and Jian-Xin Zhong and Xue-Jia Yu},
journal= {arXiv preprint arXiv:2503.21427},
year = {2025}
}