Measurement-Induced Entanglement Phase Transition in Free Fermion Systems

Abstract

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.

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• Lindbladian versus Postselected Non-Hermitian Topology
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• Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems
• Entanglement phases and phase transitions in monitored free fermion system due to localizations
• Recent progress on disorder-induced topological phases
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• Noisy Monitored Quantum Circuits
• Disappearance of measurement-induced phase transition in a quantum spin system for large sizes