Subentropy

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Contents

• Determinant-integral subentropy
• Classical-quantum Gram realization
• Density-matrix kernels and continuity
• Local eigenbasis blocks
• Finite entropy Jensen gap
• The diagonal Gaussian entropy expectation
• Gaussian entropy-gap representation
• The matrix Gaussian entropy expectation
• Gaussian quadratic forms
• Diagonal Gaussian Laplace transform
• Guessing probability
• Classical kernel bounds
• Entropy differences as resolvent integrals
• POVM Gram decomposition
• Finite sign twirls and entropy gaps
• The simple-spectrum subentropy formula
• A strong-subadditivity counterexample for subentropy
• Subadditivity of subentropy
• Uniform subentropy kernel integrals
• Two uniform subentropy values