Manuscript X-J-ST@1 · X-J-ST.tex · section · 8f0d1a36

Scheduled locality

Errors, finite composition, locality, and transport › Scheduled locality · lines 1834–1851

Let $X_{site}$ be a finite site set, with finite site algebras. At tick $s$ , let the complete channel factor over a declared partition $B_{s}$ :

Γ_{s} = B \in B_{s} ⨂ Γ_{s, B} .

All records, selectors, control memories, reset wires, and allocated workspace are included. For output sites $Y$ , define

N_{t, t} (Y) = Y, N_{s, t} (Y) = B \in B_{s + 1} B \cap N_{s + 1, t} (Y) \neq = \emptyset ⋃ B .

Displayed formulas in this passage

unlabeled · line 1839
$Γ_{s} = B \in B_{s} ⨂ Γ_{s, B} .$
unlabeled · line 1845
$N_{t, t} (Y) = Y, N_{s, t} (Y) = B \in B_{s + 1} B \cap N_{s + 1, t} (Y) \neq = \emptyset ⋃ B .$