Divergence

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Contents

• Audenaert’s binary Holevo bound
• Cauchy KL Closed Form and Horizon Free Energy
• Cauchy Measure Relative Entropy
• Chain Rule for Finite Classical KL Divergence
• Channel Monotonicity of Finite Classical KL Divergence
• Classical Data Processing as a Chain Identity
• Relative entropy coherence is at most l1 coherence
• Nonnegativity of the Classical Data-Processing Defect
• Equality in Gibbs’ Inequality
• The Grandmother Theorem
• Jensen-Shannon balls need not have majorization-minimizers
• A counterexample to the maximal reverse Pinsker bound
• Logarithmic Derivative Trace Identity
• The proposed noncommuting Tsallis bound order fails
• Marginal Monotonicity of Finite Classical KL Divergence
• MeanKernels
• Model-level equivalence does not imply measure-level equivalence
• The Classical Petz Equality Condition
• Product Additivity of Finite Classical KL Divergence
• QTD squared can exceed QJS2
• Strict Positivity of the Classical Data-Processing Defect
• Strict Positivity of Finite Classical KL Divergence
• The trace exponential is not exponentially convex