Modular energy inequalities from relative entropy

DOI10.1007/JHEP01(2018)154zbMath1384.81092arXiv1711.04816MaRDI QIDQ1745563

Horacio Casini, Felipe Rosso, Mauricio Leston, David D. Blanco

Publication date: 17 April 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.04816

zbMATH Keywords

conformal field theoryfield theories in higher dimensionsfield theories in lower dimensions

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Kaluza-Klein and other higher-dimensional theories (83E15) Analogues of general relativity in lower dimensions (83C80) Measures of information, entropy (94A17)

Related Items (8)

Properties of modular Hamiltonians on entanglement plateaux ⋮ Explicit reconstruction of the entanglement wedge via the Petz map ⋮ Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in \(\mathrm{CFT}_2\) ⋮ Surface theory: the classical, the quantum, and the holographic ⋮ Modular Hamiltonians in flat holography and (W)AdS/WCFT ⋮ Localized thermal states and negative energy ⋮ Holographic heat engines, entanglement entropy, and renormalization group flow ⋮ Entanglement of a chiral fermion on the torus

Cites Work

• Towards a derivation of holographic entanglement entropy
• Conformal field theory
• Relative entropy and holography
• Modular Hamiltonians for deformed half-spaces and the averaged null energy condition
• Averaged null energy condition from causality
• A general proof of the quantum null energy condition
• Inviolable energy conditions from entanglement inequalities
• Lectures on Gravity and Entanglement
• Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map
• The role of relative entropy in quantum information theory
• Entanglement entropy and quantum field theory
• Entanglement Hamiltonians in two-dimensional conformal field theory
• Relative entropy and the Bekenstein bound
• The inequalities of quantum information theory
• Modular groups of quantum fields in thermal states
• QUANTUM ENERGY INEQUALITIES IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY
• Quantum Energy Inequalities
• Modular Hamiltonians on the null plane and the Markov property of the vacuum state

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