Corrections needed for a coherent transfer

Three distinctions are essential.

First, the orbit theorem concerns the function $\Phi \circ \mathsf{Enc}$ on real scalar inputs. It does not say that $\Phi$ is constant on its entire quantum input space.

Second, a finite-dimensional qubit can carry a continuously parameterized family of nonorthogonal states. This is not an orthogonal finite-basis encoding of every real number, nor an exact finite gate-list preparation of arbitrary unknown real data.

Third, placing a supplied numerical report in a regular laboratory does not establish that the original convolution witness, its acquisition, or its complete nonlocal dependence lies in that laboratory. The required support certificate is stated separately in Section subsec:support.

These corrections preserve the negative closure result; they do not weaken it.