On multivariate trace inequalities of Sutter, Berta, and Tomamichel

DOI10.1063/1.5001009zbMath1382.15030arXiv1708.04836OpenAlexW3101254230MaRDI QIDQ3134127

Marius Lemm

Publication date: 8 February 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04836

zbMATH Keywords

quantum information theoryGolden-Thompson inequalityLieb's triple matrix inequalitymultivariate trace inequalities

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (3)

On composite quantum hypothesis testing ⋮ Quantitative lower bounds on the Lyapunov exponent from multivariate matrix inequalities ⋮ T-square tensors. I: Inequalities

Cites Work

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• Swiveled Rényi entropies
• Proof of the BMV conjecture
• Quantum conditional mutual information and approximate Markov chains
• Multivariate trace inequalities
• Generalized log-majorization and multivariate trace inequalities
• Multivariate extensions of the Golden-Thompson inequality
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• A convexity theorem for certain groups of transformations
• Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map
• Interpolation of Linear Operators
• SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
• Recoverability in quantum information theory
• Universal recovery map for approximate Markov chains
• Quantum Information Theory

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