Random circuits with orthogonal or symplectic symmetry exhibit ternary Pauli weights, finite-width domain walls, and component-dependent butterfly velocities that can exceed the Haar value for q=2.
Skinner, Lecture Notes: Introduction to random unitary cir- cuits and the measurement-induced entanglement phase transi- tion, arXiv:2307.02986 (2023)
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Operator spreading in random circuits with orthogonal or symplectic symmetry
Random circuits with orthogonal or symplectic symmetry exhibit ternary Pauli weights, finite-width domain walls, and component-dependent butterfly velocities that can exceed the Haar value for q=2.