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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quant-ph 2years
2026 2verdicts
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Support-sensitive BKM coercivity estimates establish logarithmic enhancements to entropy-coherence relations near rank-deficient boundaries in non-commutative Markov semigroups.
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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.
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Entropy Moduli and Support-Sensitive BKM Coercivity for Rank-Deficient Non-Commutative Markov Semigroups
Support-sensitive BKM coercivity estimates establish logarithmic enhancements to entropy-coherence relations near rank-deficient boundaries in non-commutative Markov semigroups.