Someone know any paper about matrix separability preservation under 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.
Then, I'm searching by criteria and proofs that H, a subgroup of $SU(4)$, preserves the separability under conjugation of the J, a subgroup of $SU(2)$.
So, someone can help-me? Good related papers or books?
Thank's...