A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description

Details A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description

2001-11-13

arxiv.org/abs/quant-ph/0111074v1

Helvetica Physica Acta, 70, 793, 1997

Physics

Quantum Physics

11 pages, 5 figures

Scientific paper

It is sometimes stated that Gleason's theorem prevents the construction of hidden-variable models for quantum entities described in a more than two-dimensional Hilbert space. In this paper however we explicitly construct a classical (macroscopical) system that can be represented in a three-dimensional real Hilbert space, the probability structure appearing as the result of a lack of knowledge about the measurement context. We briefly discuss Gleason's theorem from this point of view.

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