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Stabilizer operations comprised of stabiliser state preparations, Clifford gates, Pauli measurements, classical randomness and conditioning. Does stabilizer operations map stabilizer states to stabilizer states and why?

glS
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Michael.Andy
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Yes - that's the definition of stabilizer circuits: They map stabilizer states to stabilizer states.

Norbert Schuch
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    A small note: Stabilizer operations generally map stabilizer states to convex combinations of stabilizer states. Depending who you ask, the latter are stabilizer states or not :) – Markus Heinrich Mar 14 '24 at 08:15