A linear Stabilizer Entropy acts as a non-stabilizerness monotone with overwhelming probability for mixed states under non-adaptive Clifford channels on flat stabilizer states, with violation probabilities decaying exponentially with system size.
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Stabilizer entropy is trustworthy for mixed states
A linear Stabilizer Entropy acts as a non-stabilizerness monotone with overwhelming probability for mixed states under non-adaptive Clifford channels on flat stabilizer states, with violation probabilities decaying exponentially with system size.