Variational approach to relative entropies with an application to QFT
DOI10.1007/s11005-021-01474-2zbMath1480.81019arXiv2009.05024OpenAlexW3210787180MaRDI QIDQ2051459
Publication date: 24 November 2021
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.05024
algebraic quantum field theoryoperator algebrasquantum informationquantum relative entropiesentropic certainty relationssub factor theory
Applications of operator algebras to the sciences (47L90) General theory of von Neumann algebras (46L10) Axiomatic quantum field theory; operator algebras (81T05) Subfactors and their classification (46L37) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
- A note on the transition probability over \(C^*\)-algebras
- Extension of Jones' theory on index of arbitrary factors
- The universal structure of local algebras
- Operator valued weights in von Neumann algebras. II
- On the spatial theory 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
- A duality for Hopf algebras and for subfactors. I
- Conformal subnets and intermediate subfactors
- Classification of two-dimensional local conformal nets with \(c<1\) and 2-cohomology vanishing for tensor categories
- Rényi divergences as weighted non-commutative vector-valued \(L_p\)-spaces
- Relative entropy in CFT
- Minimizing indices of conditional expectations onto a subfactor
- Positive cones and \(L^p\)-spaces for von Neumann algebras
- Index for subfactors
- Theory of operator algebras. III
- On Landauer's principle and bound for infinite systems
- Entropic order parameters for the phases of QFT
- Entanglement entropy and superselection sectors. I: Global symmetries
- Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
- Relative Hamiltonian for faithful normal states of a von Neumann algebra
- Rényi relative entropies and noncommutative \(L_p\)-spaces
- Entropy and index for subfactors
- NETS OF SUBFACTORS
- On relative entropy and global index
- Quantum f-Divergences in von Neumann Algebras
- Tensor Categories and Endomorphisms of von Neumann Algebras
- Sandwiched Rényi divergence satisfies data processing inequality
- Monotonicity of a relative Rényi entropy
- On quantum Rényi entropies: A new generalization and some properties
This page was built for publication: Variational approach to relative entropies with an application to QFT