Operational support layers for quantum-resource claims in open and monitored systems

Quantum-resource language is often triggered by a nonzero diagnostic marker: a complementarity residual, a coherence
pattern, a protected Liouvillian mode, a Fisher-information increase, or a nonstabilizer witness. In open, noisy,
monitored, or partially identifiable systems, this shortcut is unsafe. The same marker can remain positive after the
interpretation attached to an ideal calibration limit has become invalid, invisible to the available detector, or dependent
on additional model assumptions. We formulate a conservative framework of operational support layers. A resource
claim is specified not by a marker alone, but by a marker together with the support, readout, calibration, encoding,
or identifiability layer that licenses its interpretation. The framework introduces marker-support pairs, unsupportedmarker
regions, a non-converse rule for failed layer tests, and a practical claim protocol. Four technical pillars organize
the discussion: complementarity residuals require entanglement-support tests; qutrit coherence geometries require calibration
and model-identifiability layers; persistent Liouvillian modes require detector-relative readability; and Fisher
growth requires encoding-aware classification. The resulting grammar separates what exists formally, what is resourcesupported,
what is readable, and what is identifiable from the available data, and it supplies a referee-facing checklist
for avoiding unsupported resource claims in quantum-technology settings.