Manuscript X-Enter-ST@1 · X-Enter-ST.tex · section · f76acc1f

The destructive task clock

Stage D: complete instruments for supplied evaluations › The destructive task clock · lines 892–911

X-Enter-ST@1#eq:clockinstrument

Let the dictionary have $J$ entries. Choose $d_{C} = 2^{n_{C}} \geq J$ , $n_{C} \geq 1$ , and an orthonormal calibrated basis ${∣ τ_{j} ⟩}_{j = 0}^{d_{C} - 1}$ . Unused labels have an explicit unused-task report. Let $A$ contain every surviving finite quantum register.

For the installed classical word $q_{j}$ , define

D_{j} = ⟨ τ_{j} ∣_{C} \otimes I_{A}

and

M (X) = j \sum ∣ j, q_{j} ⟩ ⟨ j, q_{j} ∣_{R} \otimes D_{j} X D_{j}^{†} .

Displayed formulas in this passage

X-Enter-ST@1#eq:clockinstrument · line 906
$M (X) = j \sum ∣ j, q_{j} ⟩ ⟨ j, q_{j} ∣_{R} \otimes D_{j} X D_{j}^{†} .$
unlabeled · line 902
$D_{j} = ⟨ τ_{j} ∣_{C} \otimes I_{A}$

Nearby in this section

theorem: Theorem: Complete supplied-evaluation instrument
section: The destructive task clock