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Local preparability of states and the split property in quantum field theory

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Abstract

Extending similar results of Buchholz, Doplicher, and Longo, it is shown that the existence of local operations preparing a given local state implies the split property for the local net of observable algebras, i.e., the existence of type I factors interpolating between the observable algebras of regions strictly contained in each other. It is shown that local preparations, if they exist, may be taken to be nonselective.

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  1. FB Physik, Universität Osnabrück, Postf. 4469, D-4500, Osnabrück, West Germany

    Reinhard Werner

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  1. Reinhard Werner
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Werner, R. Local preparability of states and the split property in quantum field theory. Lett Math Phys 13, 325–329 (1987). https://doi.org/10.1007/BF00401161

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  • DOI: https://doi.org/10.1007/BF00401161

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