Regulators, implementation errors, and certificates

Preparation, mode restriction, occupation cutoff, collection, storage, and decoder errors must be stated on common channels or referenced states. A classical metric or source-input norm is not automatically a diamond allowance.

If $W,\tilde{W}$ are complete aligned isometries and ${\Vert W-\tilde{W}\Vert }_{\infty }\le a$, then both accessible and complementary half-diamond errors are at most $a$. This follows from the right inequality of (eq:KSWraw). A bound on the accessible channel alone does not justify reusing that same numerical bound for an arbitrarily chosen complementary dilation.