Manuscript VII-A-ST@1 · VII-A-ST.tex · section · c39a67a3

Clock and complete recorded map

Finite encoding and the destructive-clock instrument › Clock and complete recorded map · lines 1655–1670

A finite probe realization is explicit. Allocate one fresh qubit $A$ , apply the isometry

ψ ⟼ y = \pm 1 \sum ∣ y ⟩_{A} \otimes M_{s, y} ψ,

extend it to a unitary on the finite input space with the specified blank ancilla, then destructively read $A$ . Completeness proves that the displayed map is isometric. Its unitary extension follows by completing orthonormal bases.

This is an abstract finite unitary permission, not a compiled hardware circuit or a compact field–probe coupling.

Displayed formulas in this passage

unlabeled · line 1659
$ψ ⟼ y = \pm 1 \sum ∣ y ⟩_{A} \otimes M_{s, y} ψ,$

Nearby in this section

section: Clock and complete recorded map
theorem: Theorem: Complete destructive readout
proposition: Proposition: Clock limits and observation boundaries
section: Clock and complete recorded map