Metrology and multipartite entanglement in measurement-induced phase transition

TL;DR

This paper investigates measurement-induced phase transitions using Quantum Fisher Information, revealing entanglement changes and non-analytic behavior at critical points, providing new insights into quantum system dynamics under measurement.

Contribution

It introduces a novel approach to characterize measurement-induced phase transitions via Quantum Fisher Information, linking entanglement scaling to phase transition signatures.

Findings

Quantum Fisher Information exhibits non-analytic behavior at the critical measurement strength.

Multipartite entanglement undergoes a transition across phases as shown by Fisher information scaling.

The study provides a new diagnostic tool for identifying measurement-induced phase transitions.

Abstract

Measurement-induced phase transition arises from the competition between a deterministic quantum evolution and a repeated measurement process. We explore the measurement-induced phase transition through the Quantum Fisher Information in two different metrological scenarios. We demonstrate through the scaling behavior of the quantum Fisher information the transition of the multi-partite entanglement across the phases. In analogy with standard quantum phase transition, we reveal signature of a measurement-induced phase transition in the non-analytic behaviour of the quantum Fisher information as the measurement strength approaches the critical value. Our results offer novel insights into the features of a quantum systems undergoing measurement-induced phase transition and indicate potential avenues for further exploration in the field of quantum physics.