Manuscript Hawk02-C@2 · Hawk02-C.tex · remark · bb332d66

Remark: Fixed accuracy limits the useful horizon

Implementation assembly and a finite epsilon regime › A nonempty positive-budget regime · lines 1929–1941

If $∥ E_{1} (t) ∥ \leq η$ with fixed $η > 0$ , then $Δ_{T} \leq T η$ . The sufficient conditions

q (T) + ℓ_{N} (T) \leq ε /2, T η + e_{prep} + e_{decoder} \leq ε /2

place a finite upper limit on the horizon in this budget. The existence certificate scales the allowed perturbation with its chosen finite time.

Displayed formulas in this passage

unlabeled · line 1933
$q (T) + ℓ_{N} (T) \leq ε /2, T η + e_{prep} + e_{decoder} \leq ε /2$