CFT data determining ordered Schmidt-coefficient partial sums

Identify which conformal-field-theory data determine the partial sums of ordered Schmidt coefficients at conformal points.

Background

The paper derives the asymptotic growth of nonlocal min-relative entropy of nonstabilizerness for the smoothed Calabrese–Lefevre entanglement spectrum. The result depends directly on partial sums of the ordered Schmidt coefficients at dyadic ranks.

Fixed-index Rényi-entropy scaling does not by itself determine these rank-resolved partial sums. Establishing which CFT quantities control them is therefore necessary for connecting the nonlocal-magic asymptotics to general conformal critical points rather than to a particular smoothed spectral ansatz.