On Landauer's principle and bound for infinite systems

DOI10.1007/s00220-018-3116-xzbMath1401.81028arXiv1710.00910OpenAlexW3098065660WikidataQ130033635 ScholiaQ130033635MaRDI QIDQ1989877

Roberto Longo

Publication date: 29 October 2018

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

Full work available at URL: https://arxiv.org/abs/1710.00910

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of selfadjoint operator algebras to physics (46L60) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Statistical thermodynamics (82B30) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (17)

Comment on the Bekenstein bound ⋮ Galois correspondence and Fourier analysis on local discrete subfactors ⋮ A planar algebraic description of conditional expectations ⋮ Derivations and KMS-symmetric quantum Markov semigroups ⋮ Channel divergences and complexity in algebraic QFT ⋮ State convertibility in the von Neumann algebra framework ⋮ Realization of rigid \(C^\ast \)-bicategories as bimodules over type \(\mathrm{II}_1\) von Neumann algebras ⋮ The emergence of time ⋮ A formula for the relative entropy in chiral CFT ⋮ The information in a wave ⋮ Some results on relative entropy in quantum field theory ⋮ Entropy of coherent excitations ⋮ Compact hypergroups from discrete subfactors ⋮ Entropy distribution of localised states ⋮ On relative entropy and global index ⋮ Variational approach to relative entropies with an application to QFT ⋮ Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Notes on Landauer's principle, reversible computation, and Maxwell's demon
• Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial
• Extension of Jones' theory on index of arbitrary factors
• On the spatial theory of von Neumann algebras
• Modular structure of the local algebras associated with the free massless scalar field theory
• A remark on the minimal index of subgfactors
• Relativistic invariance and charge conjugation in quantum field theory
• Minimal index and braided subfactors
• Modular theory for bimodules
• A theory of dimension
• An analogue of the Kac-Wakimoto formula and black hole conditional entropy
• Comment on the Bekenstein bound
• Toward entanglement entropy with UV-cutoff in conformal nets
• Classification of local conformal nets. Case \(c < 1\)
• Relative entropy in CFT
• Simple injective subfactors
• Index of subfactors and statistics of quantum fields. I
• Index for subfactors
• \(L^2\)-von Neumann modules, their relative tensor products and the spatial derivative
• Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers
• Noncommutative spectral invariants and black hole entropy
• Hilbert von Neumann modules
• A note on the Landauer principle in quantum statistical mechanics
• Relative entropy and the Bekenstein bound
• Irreversibility and Heat Generation in the Computing Process
• Entropy and index for subfactors
• On the duality condition for a Hermitian scalar field
• Entanglement Measures and Their Properties in Quantum Field Theory
• MINIMAL EXPECTATIONS FOR INCLUSIONS WITH ATOMIC CENTRES
• Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories
• Une classification des facteurs de type ${\rm III}$
• Kosaki-Longo index and classification of charges in 2D quantum spin models
• On a conjecture of Kac-Wakimoto
• Theory of operator algebras I.
• Notes for a quantum index theorem

This page was built for publication: On Landauer's principle and bound for infinite systems