Manuscript Hawk01-B@1 · Hawk01-B.tex · section · cfa976f1

Weyl operators and the first emission

Internally generated key and sequential logical transfer › Weyl operators and the first emission · lines 691–703

Hawk01-B@1#eq:Weyl

Let $ζ = e^{2 π i / d}$ , and define

X ∣ i ⟩ = ∣ i + 1 mod d ⟩, Z ∣ i ⟩ = ζ^{i} ∣ i ⟩, U_{a, b} = X^{a} Z^{b} .

Write $r = (a, b) \in {0, \dots, d - 1}^{2}$ .

Displayed formulas in this passage

Hawk01-B@1#eq:Weyl · line 694
$X ∣ i ⟩ = ∣ i + 1 mod d ⟩, Z ∣ i ⟩ = ζ^{i} ∣ i ⟩, U_{a, b} = X^{a} Z^{b} .$