Geometric relative entropies and barycentric Rényi divergences
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Publication:6615423
DOI10.1016/J.LAA.2024.06.005MaRDI QIDQ6615423
Péter Vrana, Gergely Bunth, Milán Mosonyi
Publication date: 8 October 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Cites Work
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- The proper formula for relative entropy and its asymptotics in quantum probability
- The Golden-Thompson trace inequality is complemented
- Means of positive linear operators
- Log majorization and complementary Golden-Thompson type inequalities
- Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces
- On variational expressions for quantum relative entropies
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- Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
- A matrix convexity approach to some celebrated quantum inequalities
- QUANTUM f-DIVERGENCES AND ERROR CORRECTION
- Barycenters in the Wasserstein Space
- Shorted Operators. II
- JENSEN'S OPERATOR INEQUALITY
- Error exponents for entanglement concentration
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- α-z-Rényi relative entropies
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- Means of Positive Numbers and Matrices
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- Introduction to matrix analysis and applications
- Concavity of certain matrix trace functions
- Monotonic multi-state quantum f-divergences
- Remarks on absolute continuity of positive operators
- Operational interpretation of the sandwiched Rényi divergence of order 1/2 to 1 as strong converse exponents
- Equivariant Relative Submajorization
- Test-Measured Rényi Divergences
- Tight Exponential Analysis for Smoothing the Max-Relative Entropy and for Quantum Privacy Amplification
- Some continuity properties of quantum Rényi divergences
- Matrix majorization in large samples
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