Manuscript IV-B@1 · IV-B-v1.tex · section · dfb66408

Exact target-adapted null transport

Certified transport and the precise locality statement › Exact target-adapted null transport · lines 1779–1796

Fix a convex developed spatial ball in $U$ , two distinct sites $x_{0}, x_{m}$ , and

L = ∣ y (x_{m}) - y (x_{0}) ∣, p = (T_{d}, x_{0}), q = (T_{d} + L / c, x_{m}) .

For an integer $m \geq 1$ , install

y (x_{j}) = y (x_{0}) + \frac{j}{m} (y (x_{m}) - y (x_{0})), a = L / m, δ = L / (m c) .

At each site place $A_{j} ≅ C^{D}$ , with a fixed blank $σ = ∣ 0 ⟩ ⟨ 0 ∣$ , $D \geq 2$ . At tick $j$ , swap $A_{j - 1}$ and $A_{j}$ .

Displayed formulas in this passage

unlabeled · line 1783
$L = ∣ y (x_{m}) - y (x_{0}) ∣, p = (T_{d}, x_{0}), q = (T_{d} + L / c, x_{m}) .$
unlabeled · line 1789
$y (x_{j}) = y (x_{0}) + \frac{j}{m} (y (x_{m}) - y (x_{0})), a = L / m, δ = L / (m c) .$