Manuscript VII-E@1 · VII-E.tex · section · b713cf3c

Three measurement interfaces

Types, states, and external geometry › Three measurement interfaces · lines 468–489

Operation	Measured factor	Record interface	Status
$Enter_{S}$	$S$ consumed	Classical $R$	Primitive
$Copy_{S}$	$S$ retained	Quantum carrier $A$	Isometry
$I_{S}^{nd}$	$S$ retained	Classical $R$	Represented instrument

Coherent recording is not cloning. For a qubit,

V ∣ + ⟩ = \frac{∣ 00 ⟩ + ∣ 11 ⟩}{2} \neq = ∣ + ⟩ \otimes ∣ + ⟩ .

The three interfaces must therefore remain distinct both in theorem statements and in geometric couplings.

Displayed formulas in this passage

unlabeled · line 483
$V ∣ + ⟩ = \frac{∣ 00 ⟩ + ∣ 11 ⟩}{2} \neq = ∣ + ⟩ \otimes ∣ + ⟩ .$