Signal communication and modular theory

DOI10.1007/s00220-023-04794-7arXiv2302.13842MaRDI QIDQ6046986

Roberto Longo

Publication date: 6 October 2023

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

Full work available at URL: https://arxiv.org/abs/2302.13842

zbMATH Keywords

entropytruncated Fourier transformprolate differential operator

Mathematics Subject Classification ID

Automorphisms of selfadjoint operator algebras (46L40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

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• Modular structure of the local algebras associated with the free massless scalar field theory
• Relative entropy of states of von Neumann algebras
• A bounded operator approach to Tomita-Takesaki theory
• Self-adjoint boundary conditions for the prolate spheroid differential operator
• Entropy of coherent excitations
• Modular structure of the Weyl algebra
• The information in a wave
• Relative entropy and curved spacetimes
• Some comments on Fourier analysis, uncertainty and modeling
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
• Theory of operator algebras I.
• The massless modular Hamiltonian
• On the mass dependence of the modular operator for a double cone

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