A new lower bound on quantum relative entropy for block matrices is derived from the BKM Hessian midpoint estimate, giving a coherence term proportional to the squared Frobenius norm under a spectral gap.
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Midpoint BKM Estimates and Boundary Coherence
A new lower bound on quantum relative entropy for block matrices is derived from the BKM Hessian midpoint estimate, giving a coherence term proportional to the squared Frobenius norm under a spectral gap.