The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
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In a monitored Rashba chain the disconnected entanglement entropy stays topological for a time linear in system size because monitoring switches between degenerate topological states while poisoning other quasiparticles.
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Operational interpretation of the Stabilizer Entropy
The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
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Long-lasting Topological Entanglement in a Monitored Rashba Nanowire
In a monitored Rashba chain the disconnected entanglement entropy stays topological for a time linear in system size because monitoring switches between degenerate topological states while poisoning other quasiparticles.