Manuscript VI@1 · VI.tex · figure · b5b60afb

Certificate robustness requirements

Static audit of the proposed quantum certificate › Interval evaluations · lines 2913–2928

VI@1#fig:VI-certificate-audit

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metric / coordinatescalarswitching defectconditional quantumsupport / uncompleted
zN=0zN=0 on a selected subcatalogue
extra allowed column n∗n_* with zn∗≠0zn_*\neq 0
true submatrix identity; invalid complete-catalogue separator

redundancy allowed; coverage required

small but nonzero row zNzNc=tc0,zNc=t zNc0,sup⁡c∣zNc∣=∞c=tc_0,\qquad zNc=t\,zNc_0,\qquad \sup_c|zNc|=\inftya small residual is not uniform robustness without coefficient bounds
A rigorous nonzero enclosure for zqzq is not by itself exact counterterm annihilation. No tolerances, interval endpoints, or computed minors are shown.

Certificate robustness requirements. An omitted allowed response direction can invalidate the interpretation of a left-kernel row from a selected subcatalogue. Likewise, a nonzero annihilation residual can be amplified without bound when counterterm coefficients are unrestricted. Rigorous target nonvanishing and complete response annihilation are separate requirements.

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