# Proof of Pauli group preservation by Clifford group conjugation?!

A well know result is that Clifford group preserve the Pauli group under conjugation or, in other words:

• $C(P_{1} \otimes P_{2})C^{\dagger} = P_{3} \otimes P_{4}$, with $C \in$ Clifford group and $P_{n} \in$ Pauli group.

How we can prove this?

Thank's...

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