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Maximal violation of Bell's inequalities is generic in quantum field theory

Research paper by Stephen J. Summers, Reinhard Werner

Indexed on: 01 Jun '87Published on: 01 Jun '87Published in: Communications in Mathematical Physics



Abstract

Under weak technical assumptions on a net of local von Neumann algebras {A(O)} in a Hilbert space ℋ, which are fulfilled by any net associated to a quantum field satisfying the standard axioms, it is shown that for every vector state φ in ℋ there exist observables localized in complementary wedge-shaped regions in Minkowski space-time that maximally violate Bell's inequalities in the state φ. If, in addition, the algebras corresponding to wedge-shaped regions are injective (which is known to be true in many examples), then the maximal violation occurs in any state φ on ℬ(ℋ) given by a density matrix.