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observables on deep circuits: exact through the light cone (depth 5 in a 1D brickwork), certified beyond it; cost set by depth, not width (measured n=12 to 1,000 at depth 4).","Condensed-matter quenches: certified fronts (TFIM to n=100 within 4e-7 of an MPS oracle) and exact matchgate dynamics in the fermionic chart (TFIM order parameter, n=200, 7.7 s).","QEC: code-capacity thresholds at any distance in O(n) per shot (d=3..9 measured); exact coherent-error logical channel of the rotated surface code at d=3 and d=5 (d=7 offline).","Exact typed observables on structured circuits at widths no state vector holds (record cq-prod-2026-08-22)."],"out_of_class":["Full-distribution shot sampling. No counts are produced.","Scrambled circuits at depth of order the width: the observable fills the 4^n Pauli space (65,535 words at n=8, depth 14). That is the #P wall on the readout side; no representation moves it.","Interacting spin models at long times (XXZ, Hubbard): the front is returned with its certificate, and past n=24 the certificate stops certifying.","Any claim about hardware fidelity. This is a classical engine, not a QPU."]}}