Vacuum Fluctuations, Geometric Modular Action and Relativistic Quantum Information Theory

Details Vacuum Fluctuations, Geometric Modular Action and Relativistic Quantum Information Theory Vacuum Fluctuations, Geometric Modular Action and Relativistic Quantum Information Theory

2005-12-08

arxiv.org/abs/gr-qc/0512053v1

Lect.NotesPhys.702:133-162,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages. Contribution for the Proceedings of a Conference on Special Relativity held at Potsdam, 2005

Scientific paper

10.1007/3-540-34523-X_6

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.

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