Optimal Self-Concordant Barriers for Quantum Relative Entropies
From MaRDI portal
Publication:6060146
DOI10.1137/22m1500216arXiv2205.04581OpenAlexW4387704942MaRDI QIDQ6060146
Publication date: 3 November 2023
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.04581
Convex programming (90C25) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Quantum entropies (81P17)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Relative entropy optimization and its applications
- Lectures on convex optimization
- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
- Quasi-entropies for finite quantum systems
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- Matrix monotonicity and self-concordance: how to handle quantum entropy in optimization problems
- Semidefinite approximations of the matrix logarithm
- Geometric Rényi divergence and its applications in quantum channel capacities
- From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture
- A new quantum version of \(f\)-divergence
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- Efficient Approximation of Quantum Channel Capacities
- Operator monotone functions, positive definite kernels and majorization
- Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
- A matrix convexity approach to some celebrated quantum inequalities
- Primal-Dual Interior-Point Methods for Self-Scaled Cones
- JENSEN'S OPERATOR INEQUALITY
- Efficient optimization of the quantum relative entropy
- Perspectives of matrix convex functions
- Lifting for Simplicity: Concise Descriptions of Convex Sets
- Solving Natural Conic Formulations with Hypatia.jl
- Alfonso: Matlab Package for Nonsymmetric Conic Optimization
- Primal-Dual Interior-Point Methods for Domain-Driven Formulations
- Different quantum f-divergences and the reversibility of quantum operations
- Sandwiched Rényi divergence satisfies data processing inequality
- Monotonicity of a relative Rényi entropy
- On quantum Rényi entropies: A new generalization and some properties
- Quantum Information Processing with Finite Resources
- Convex Analysis
- Error bounds, facial residual functions and applications to the exponential cone
- Performance enhancements for a generic conic interior point algorithm
