Vacuum Fluctuations, Geometric Modular Action and Relativistic Quantum Information Theory

2005/12/08 by Rainer Verch, R. Verch · 1 voice
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.1007/3-540-34523-x_6

published as Lect.NotesPhys.702:133-162,2006 · 26 pages. Contribution for the Proceedings of a Conference on Special Relativity held at Potsdam, 2005

arxiv created 2005/12/08 · arxiv published 2005/12/08 · openalex publication_date 2006/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

A summary of some lines of ideas leading to model-independent frameworks of relativistic quantum field theory is given. It is followed by a discussion of the Reeh-Schlieder theorem and geometric modular action of Tomita-Takesaki modular objects associated with the quantum field vacuum state and certain algebras of observables. The distillability concept, which is significant in specifying useful entanglement in quantum information theory, is discussed within the setting of general relativistic quantum field theory.

Citations

• Irreducible Unitary Representations of the Lorentz Group
• Generic Bell correlation between arbitrary local algebras in quantum field theory
• Causal and localizable quantum operations
• Quantum Physics

Discussions

• I'm currently struggling to understand the implications of the Reeh-Schlieder theorem - having little mastery of QFT formlism, let alone AQFT. Its connection with vacuum state entanglement, although I [stackexchange, 3 points]