Manuscript En05-A@1 · En05-A.tex · remark · f076e703
Remark: Channels and observables are not interchangeable
A conditional continuum package with matched realizations › Observable algebras require their own interface · lines 1936–1943
Commutation of two CP superoperators does not imply commutation of elements of an observable algebra, and a channel adjoint need not be multiplicative. C6 is an additional observable-level construction hypothesis. A common local unitary dilation can motivate such an interface, but that dilation and its spacetime localization must be provided. They are not constructed by the operational cone theorem.