Measurement induced scrambling and emergent symmetries in random circuits

Published in arXiv preprint, 2025

This work studies how unitary evolution and measurements jointly shape entanglement and scrambling in random circuits. By mapping the dynamics to a classical spin problem, it analyzes both measurement-induced and measurement-only transitions, derives conditions for globally scrambled phases under joint measurements, and uncovers emergent U(1) and SU(2) symmetries in the large-qudit limit.

Preprint: arXiv:2506.18121

Recommended citation: Haifeng Tang, Hong-Yi Wang, Zhong Wang, and Xiao-Liang Qi. "Measurement induced scrambling and emergent symmetries in random circuits." arXiv:2506.18121 (2025).
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