λEnter Calculus CompanionRegistered manuscripts, kept distinct

Manuscript X-K-ST@1 · X-K-ST.tex · section · 93c39c0f

One destructive clock and its exact limitations

One destructive clock and its exact limitations · lines 488–509

X-K-ST@1#eq:oneclock

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Let

H_{C} ≅ C^{2^{q}}, q \geq 1,

have a specified orthonormal basis ${∣ τ_{k} ⟩}_{k = 0}^{2^{q} - 1}$ , and put

P_{k} = ∣ τ_{k} ⟩ ⟨ τ_{k} ∣, D_{k} = ⟨ τ_{k} ∣_{C} \otimes I_{S} .

The calibrated basis change satisfies $B_{C} ∣ τ_{k} ⟩ = ∣ k ⟩$ . Define

M_{C} (X) = k \sum ∣ k ⟩ ⟨ k ∣_{R} \otimes D_{k} X D_{k}^{†} .

Displayed formulas in this passage

X-K-ST@1#eq:oneclock · line 504
$M_{C} (X) = k \sum ∣ k ⟩ ⟨ k ∣_{R} \otimes D_{k} X D_{k}^{†} .$
unlabeled · line 492
$H_{C} ≅ C^{2^{q}}, q \geq 1,$
unlabeled · line 497
$P_{k} = ∣ τ_{k} ⟩ ⟨ τ_{k} ∣, D_{k} = ⟨ τ_{k} ∣_{C} \otimes I_{S} .$

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