Quantum Brascamp-Lieb dualities
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Publication:6110168
DOI10.1007/s00220-023-04678-wzbMath1527.81010arXiv1909.02383OpenAlexW4327811993MaRDI QIDQ6110168
Mario Berta, Michael Walter, David Sutter
Publication date: 4 July 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.02383
Measures of information, entropy (94A17) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum entropies (81P17) Uncertainty relations, also entropic (81S07)
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Cites Work
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- Extended quantum conditional entropy and quantum uncertainty inequalities
- An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy
- Quantum systems, channels, information. A mathematical introduction.
- Quantum conditional mutual information and approximate Markov chains
- Multivariate trace inequalities
- Monotonicity of the quantum relative entropy under positive maps
- Equivalence of additivity questions in quantum information theory
- Gaussian kernels have only Gaussian maximizers
- Brascamp--Lieb inequalities for non-commutative integration
- Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities
- A variational expression for the relative entropy
- On a reverse form of the Brascamp-Lieb inequality
- Completely positive maps and entropy inequalities
- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
- The conditional entropy power inequality for bosonic quantum systems
- Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling
- A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
- Universal recovery maps and approximate sufficiency of quantum relative entropy
- Generalizing Lieb's concavity theorem via operator interpolation
- Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
- Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
- The Brascamp-Lieb inequalities: Finiteness, structure and extremals
- Multivariate extensions of the Golden-Thompson inequality
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- Contraction coefficients for noisy quantum channels
- The smooth entropy formalism for von Neumann algebras
- Conditional Entropy for Infinite-Dimensional Quantum Systems
- Corrections to “The Entropy Power Inequality for Quantum Systems” [Mar 14 1536-1548]
- The Entropy Power Inequality for Quantum Systems
- Entropy and the Quantum
- NORM AND ANTI-NORM INEQUALITIES FOR POSITIVE SEMI-DEFINITE MATRICES
- Volume Ratios and a Reverse Isoperimetric Inequality
- Shadows of Convex Bodies
- JENSEN'S OPERATOR INEQUALITY
- Jensen's Trace Inequality in Several Variables
- Approximate Quantum Markov Chains
- Superadditivity of Quantum Relative Entropy for General States
