Vacuum Fluctuations, Geometric Modular Action and Relativistic Quantum Information Theory

TL;DR

This paper explores the foundational aspects of relativistic quantum field theory, focusing on vacuum fluctuations, modular theory, and their implications for quantum information, particularly entanglement distillability.

Contribution

It introduces a model-independent framework connecting geometric modular action with quantum information concepts in relativistic quantum field theory.

Findings

Analysis of the Reeh-Schlieder theorem in this context

Discussion of modular objects and their geometric significance

Insights into entanglement distillability in relativistic settings

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.