Manuscript Hawk07-B@1 · Hawk07-B.tex · section · b9785538

Serial relays

Convoys, relays, and the reset condition › Serial relays · lines 1438–1450

If a single payload is sent through successive specified decoded links $Λ_{j} : L \to L$ , then

d_{⋄} (Λ_{J} \dots Λ_{1}, id_{L}) \leq min {1, j \sum d_{⋄} (Λ_{j}, id_{L})} .

The proof is the same telescoping argument. Every link still needs its own resource, access, and delay ledger. This licenses a declared quantum network, not a geometric shortcut.

Displayed formulas in this passage

unlabeled · line 1442
$d_{⋄} (Λ_{J} \dots Λ_{1}, id_{L}) \leq min {1, j \sum d_{⋄} (Λ_{j}, id_{L})} .$