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quant-ph2026
Brownian Motion in Orthogonal and Symplectic Groups
Zhiyang Tan, Piet W. Brouwer
Matrix Brownian motion provides a powerful framework for studying crossover ensembles in quantum chaos and quantum transport, as well as thermalization and information scrambling i…
quant-ph2026
Operator spreading in random unitary circuits with orthogonal/symplectic-invariant gate distributions
Zhiyang Tan, Piet W. Brouwer
We investigate operator spreading in random quantum circuits with gates drawn from orthogonal-invariant or symplectic-invariant ensembles, revealing several key distinctions from t…