Manuscript En05-C@1 · En05-C.tex · remark · aa213ea6

Remark: The local channel is not a homomorphism

Stage A: the tensor-free comparison theorem · lines 500–504

Nothing in Theorem thm:comparison makes $K$ multiplicative. For example, dephasing on $M_{2}$ sends the Pauli operator $X$ to zero and $X^{2} = 1$ to $1$ .

Nearby in this section

section: Stage A: the tensor-free comparison theorem
lemma: Lemma: Separation by equal-snapshot states
theorem: Theorem: Tensor-free snapshot–channel–adjoint equivalence
corollary: Corollary: Recovery of the supplied hybrid comparison
remark: Remark: Restriction versus extension