Manuscript VI-B@1 · VI-B-v1.tex · section · 33798723

Destructive clock, complete instrument, and dictionaries

Destructive clock, complete instrument, and dictionaries · lines 1561–1577

Let the clock be two qubits,

H_{C} = C^{4}, {∣ τ_{k} ⟩ : k = 0, 1, 2, 3} orthonormal, P_{k} = ∣ τ_{k} ⟩ ⟨ τ_{k} ∣ .

A fixed basis-change unitary takes $∣ τ_{k} ⟩$ to $∣ k ⟩$ , followed by destructive computational-basis Enter. Define

D_{k} = ⟨ τ_{k} ∣_{C} \otimes I_{X} .

Let $R$ be the classical clock record.

Displayed formulas in this passage

unlabeled · line 1565
$H_{C} = C^{4}, {∣ τ_{k} ⟩ : k = 0, 1, 2, 3} orthonormal, P_{k} = ∣ τ_{k} ⟩ ⟨ τ_{k} ∣ .$
unlabeled · line 1573
$D_{k} = ⟨ τ_{k} ∣_{C} \otimes I_{X} .$