Extension of the critical-spectrum asymptotics beyond the Calabrese–Lefevre ansatz

Establish the asymptotic formula for nonlocal min-relative entropy of nonstabilizerness beyond the smoothed Calabrese–Lefevre entanglement spectrum.

Background

For critical spectra, the paper proves the stated logarithmic scaling only under the smoothed Calabrese–Lefevre ansatz, with additional regularity conditions discussed in the supplementary analysis. The authors explicitly note that fixed-index CFT scaling alone is insufficient to justify the result.

A general derivation for critical entanglement spectra would determine whether the formula is universal and would clarify the role of nonuniversal prefactors and other corrections to the Calabrese–Lefevre form.