Schedule locality and certified physical containment

Let a finite metric site set $(X,d_{\mathrm{comp}})$ carry finite quantum–classical local algebras. At layer $j$, let the complete channel factor over a partition ${\mathcal{B}}_j$, with ${\mathrm{diam}}_{d_{\mathrm{comp}}}B\le \Delta$. Every classical controller register read by a block is included in that block's input interface.

For terminal region $Y$, define