Collect-and-invert recovery

Initialize by a known isometry $J:M\to ({\mathbb{C}}^2{)}^{\otimes K}$ with known unitary preparation.

Full simulator histories include hidden reflections. Accessible histories contain only observed surviving sets and observer measurement outcomes.

Let $P_{\mathrm{all}}(t)$ be the probability that every one of the $K$ actual constituents has been emitted and transmitted. For complete no-loss histories $h$,

Distinct complete no-loss histories have orthogonal accessible occupation configurations.