Operational contextuality witness robust to post-selection cost

Determine whether the per-event contextuality mapped by the osmotic field can be converted into an operational witness that remains effective after accounting for the post-selection cost rather than being canceled by that cost.

Background

The paper relates the normalized imaginary weak momentum to a per-retained-event contextuality signal near a nodal curve. However, the corresponding unnormalized Kirkwood–Dirac witness is suppressed near the node by the vanishing post-selection probability, while resolving the singular profile requires increasingly many incident trials.

The authors identify as their sharpest open question whether an operational contextuality test can preserve the per-event advantage after this rare-event overhead is included, rather than merely shifting the cost to the incident ensemble.