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 1592–1607

Let the clock consist of two qubits,

H_{C} = C^{4}, {∣ τ_{s} ⟩}_{s = 0}^{3} orthonormal, P_{s} = ∣ τ_{s} ⟩ ⟨ τ_{s} ∣ .

Apply a fixed basis change $B_{C} ∣ τ_{s} ⟩ = ∣ s ⟩$ , then destructive computational readout of both clock names. Put

D_{s} = ⟨ τ_{s} ∣_{C} \otimes I_{X} .

The clock record is $R$ , and the score record is $Y$ .

Displayed formulas in this passage

unlabeled · line 1595
$H_{C} = C^{4}, {∣ τ_{s} ⟩}_{s = 0}^{3} orthonormal, P_{s} = ∣ τ_{s} ⟩ ⟨ τ_{s} ∣ .$
unlabeled · line 1603
$D_{s} = ⟨ τ_{s} ∣_{C} \otimes I_{X} .$