Log-Euclidean R'enyi Conditional Mutual Information

arXiv:2609.34699 · quant-ph · Submitted 2026-09-28 · Read on arXiv

quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Trace — 45× in this paper · explained in 2 episodes
• Additivity — 24× in this paper · explained in 1 episode
• Fidelity — 14× in this paper · explained in 2 episodes
• Objective Function — 14× in this paper · explained in 2 episodes
• Entanglement — 9× in this paper · explained in 3 episodes
• Generalization — 8× in this paper · explained in 13 episodes
• Superadditivity — 4× in this paper · explained in 2 episodes
• Gibbs State — 2× in this paper · explained in 2 episodes
• Axioms — 1× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Error Exponents — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Optimal Transport — 1× in this paper · explained in 5 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Quantum Approximate Markov Chains are Thermal
• Recoverability in quantum information theory
• Maximal R'enyi Relative Entropy for $\alpha>2$
• Quantum state estimation and large deviations
• Mixed-state additivity properties of magic monotones based on quantum relative entropies for single-qubit states and beyond
• The Optimal Rate Function in Covariant Quantum State Tomography
• A class of permutation-invariant measurements and their relation to quantum relative entropies
• Large deviation principle for moment map estimation
• Minimal length in an orbit closure as a semiclassical limit
• Quantum dichotomies and coherent thermodynamics beyond first-order asymptotics
• Beyond Hoeffding and Chernoff: Trading conclusiveness for advantages in quantum hypothesis testing
• Operational interpretation of the reverse sandwiched Renyi divergences in composite quantum hypothesis testing
• Reliability of asymptotic work extraction
• Distinguishability and Accessible Information in Quantum Theory
• The strong converse exponent of composable randomness extraction against quantum side information
• Quantum conditional entropies from convex trace functionals
• Quantum mean states are nicer than you think: fast algorithms to compute states maximizing average fidelity
• Generalized Log-Majorization and Multivariate Trace Inequalities
• Fundamental limits for thermodynamic control with quantum feedback

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