Approximate recovery and relative entropy. I: General von Neumann subalgebras
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Publication:2070860
DOI10.1007/s00220-021-04143-6OpenAlexW3034621591MaRDI QIDQ2070860
Thomas Faulkner, Yixu Wang, Stefan Hollands, Brian Swingle
Publication date: 24 January 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.08002
General theory of von Neumann algebras (46L10) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
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Cites Work
- Unnamed Item
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- Gravitation from entanglement in holographic CFTs
- The fast track to Löwner's theorem
- Quantum conditional mutual information and approximate Markov chains
- Multivariate trace inequalities
- Entanglement renormalization, quantum error correction, and bulk causality
- Relative entropy and holography
- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
- Continuous selections. I
- Gaussian kernels have only Gaussian maximizers
- Anyons in an exactly solved model and beyond
- State extensions and a Radon-Nikodým theorem for conditional expectations on von Neumann algebras
- On an inequality of Lieb and Thirring
- Intermediate spectral theory and quantum dynamics
- Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
- Quasi-entropies for states of a von Neumann algebra
- The universal structure of local algebras
- Conditional expectations in von Neumann algebras and a theorem of Takesaki
- Relative entropy of states of von Neumann algebras
- The transition probability in the state space of a \(^*\)-algebra
- Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
- Relative entropy for states of von Neumann algebras. II
- Conformal quantum field theory and half-sided modular inclusions of von- Neumann-algebras
- Modular Hamiltonians for deformed half-spaces and the averaged null energy condition
- Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces
- Positive cones and \(L^p\)-spaces for von Neumann algebras
- Theory of operator algebras. III
- Universal recovery maps and approximate sufficiency of quantum relative entropy
- Variational approach to relative entropies with an application to QFT
- Recovering the QNEC from the ANEC
- Relative Hamiltonian for faithful normal states of a von Neumann algebra
- A general proof of the quantum null energy condition
- Rényi relative entropies and noncommutative \(L_p\)-spaces
- Bulk locality and quantum error correction in AdS/CFT
- A convexity theorem for certain groups of transformations
- On revolutionizing quantum field theory with Tomita’s modular theory
- Preservation of a quantum Rényi relative entropy implies existence of a recovery map
- Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map
- Interpolation of Linear Operators
- Classical Fourier Analysis
- SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
- The standard form of von Neumann algebras.
- Lectures on von Neumann Algebras
- Recovery and the Data Processing Inequality for Quasi-Entropies
- Entanglement Measures and Their Properties in Quantum Field Theory
- MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED
- Topological quantum memory
- Recoverability in quantum information theory
- Modular Hamiltonians on the null plane and the Markov property of the vacuum state
- On quantum Rényi entropies: A new generalization and some properties
- SUFFICIENCY IN QUANTUM STATISTICAL INFERENCE: A SURVEY WITH EXAMPLES
- Expansional in banach algebras