Quantum statistics and locality

Abstract

It is shown that two observers have mutually commuting observables if they are able to prepare in each subsector of their common state space some state exhibiting no mutual correlations. This result establishes a heretofore missing link between statistical and locality (commensurability) properties of the observables of spacelike separated observers in relativistic quantum physics, envisaged four decades ago by Haag and Kastler. It is based on a discussion of coincidence experiments and suggests a physically meaningful quantitative measure of possible violations of Einstein causality.

3 pages, no figures

References in corpus (3)

• The quantum structure of spacetime at the Planck scale and quantum fields
• The second law of thermodynamics, TCP, and Einstein causality in anti-de Sitter space-time
• Stable quantum systems in anti-de Sitter space: Causality, independence and spectral properties

Cited by in corpus (21)

• Quantum Measurement Information as a key to Energy Release from Local Vacuums
• String-localized Quantum Fields and Modular Localization
• Distillability and positivity of partial transposes in general quantum field systems
• Local covariant quantum field theory over spectral geometries
• Local exclusion principle for identical particles obeying intermediate and fractional statistics
• String-- and Brane--Localized Causal Fields in a Strongly Nonlocal Model
• Many-anyon trial states
• Exclusion bounds for extended anyons
• Localization and the interface between quantum mechanics, quantum field theory and quantum gravity I (The two antagonistic localizations and their asymptotic compatibility)
• Yet More Ado About Nothing: The Remarkable Relativistic Vacuum State
• Title Area density of localization-entropy I: the case of wedge-localization
• Some contributions to many-body quantum mathematics
• Subsystems and Independence in Relativistic Microscopic Physics
• Methods of modern mathematical physics: Uncertainty and exclusion principles in quantum mechanics
• Entanglement and algebraic independence in fermion systems
• Properties of 2D anyon gas
• Exchange and exclusion in the non-abelian anyon gas
• Local Lorentz covariance in finite-dimensional Local Quantum Physics
• Is Nonlocality of the Quantum Theory Definitively Confirmed by the Experiments ?
• Subsystems (in)dependence in GIE proposals
• Categorial subsystem independence as morphism co-possibility