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Monitored quantum circuits exhibit entanglement transitions at certain measurement rates. Such a transition separates phases characterized by how much information an observer can learn from the measurement outcomes. We study SU(2)-symmetric monitored quantum circuits, using exact numerics and a mapping onto an effective statistical-mechanics model. Due to the symmetry's non-Abelian nature, measuring qubit pairs allows for nontrivial entanglement scaling even in the measurement-only limit. We find a transition between a volume-law entangled phase and a critical phase whose diffusive purification dynamics emerge from the non-Abelian symmetry. Additionally, we identify a “spin-sharpening transition.” Across the transition, the rate at which measurements reveal information about the total spin quantum number changes parametrically with system size.more » « less
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Arvidsson-Shukur, David R; Drori, Jacob Chevalier; Halpern, Nicole Yunger (, Journal of Physics A: Mathematical and Theoretical)
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Hillberry, Logan E.; Jones, Matthew T.; Vargas, David L.; Rall, Patrick; Halpern, Nicole Yunger; Bao, Ning; Notarnicola, Simone; Montangero, Simone; Carr, Lincoln D. (, Quantum Science and Technology)
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