Entanglement transitions in noisy quantum circuits on trees
Phys. Rev. B 114, 024301 – Published 1 July, 2026
DOI: https://doi.org/10.1103/yvm6-cjpl
Abstract
We study information propagation in Clifford quantum circuits on trees through the lens of measurement-induced entanglement and purification transitions. We uncover a phase diagram that characterizes the ability of a tree quantum circuit to retain quantum or classical information in the presence of both measurements and decoherence. By mapping the information dynamics to a classical Markov process defined on the tree, we obtain exact solutions for the distinct phases that emerge at different measurement and noise strengths. Our approach thus provides a concrete and intuitive framework for understanding generic features of noisy quantum circuit ensembles on tree geometries.
