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Relative entropy for von Neumann subalgebras (Q5853649)

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scientific article; zbMATH DE number 7319787

Language	Label	Description	Also known as
English	Relative entropy for von Neumann subalgebras	scientific article; zbMATH DE number 7319787

Statements

scholarly article

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Relative entropy for von Neumann subalgebras (English)

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Nicholas Laracuente

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International Journal of Mathematics

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publication date

11 March 2021

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full work available at URL

https://arxiv.org/abs/1909.01906

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zbMATH Keywords

relative entropy

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von Neumann subalgebra

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subfactor index

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MaRDI profile type

MaRDI publication profile

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Relative entropy of states of von Neumann algebras

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Analysis and Geometry of Markov Diffusion Operators

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Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces

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Near-Optimal and Explicit Bell Inequality Violations

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Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance

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Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance

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Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems

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NONCOMMUTATIVE DE LEEUW THEOREMS

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A Brief History of the GKLS Equation

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Entropy for automorphisms of \(II_1\) von Neumann algebras

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Generalized s-numbers of \(\tau\)-measurable operators

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Multiplicativity of completely bounded \(p\)-norms implies a strong converse for entanglement-assisted capacity

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Rényi relative entropies and noncommutative \(L_p\)-spaces

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Index for subfactors

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Mixed-norm inequalities and operator space 𝐿_{𝑝} embedding theory

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Large violation of Bell inequalities with low entanglement

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Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces

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Strong converse theorems using Rényi entropies

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A generalization of Schur-Weyl duality with applications in quantum estimation

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On quantum Rényi entropies: A new generalization and some properties

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Strong converse and Stein's lemma in quantum hypothesis testing

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Entropy and index for subfactors

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Relating relative entropy, optimal transport and Fisher information: a quantum HWI inequality

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Conditional expectation in an operator algebra. IV. Entropy and information

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The role of relative entropy in quantum information theory

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The Theory of Quantum Information

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Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy

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Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints

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Identifiers

zbMATH Open document ID

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10.1142/S0129167X20500469

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5853649

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