Absence of simple slow operators implies that typical low-complexity states thermalize in quantum systems.
Magic of random matrix product states
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Linear Stabilizer Entropy serves as a proper non-stabilizerness monotone with overwhelming probability for non-adaptive Clifford channels on flat mixed stabilizer states, with violation probability decaying exponentially in system size.
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Simple slow operators and quantum thermalization
Absence of simple slow operators implies that typical low-complexity states thermalize in quantum systems.