Signed complete graphs achieve probabilistic uniform mixing via a stopping rule, and oriented circulants show average uniform mixing, violating Godsil's no-go theorem.
Sin, Uniform mixing in continuous-time quantum walks on oriented, nonabelian Cay- ley graphs, https://arxiv.org/abs/2510.08376
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Uniform Mixing in Chiral Quantum Walks
Signed complete graphs achieve probabilistic uniform mixing via a stopping rule, and oriented circulants show average uniform mixing, violating Godsil's no-go theorem.