A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description
量子物理
2007-05-23 v1
摘要
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.
引用
@article{arxiv.quant-ph/0111074,
title = {A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description},
author = {Diederik Aerts and Bob Coecke and Bart D'Hooghe and Frank Valckenborgh},
journal= {arXiv preprint arXiv:quant-ph/0111074},
year = {2007}
}
备注
11 pages, 5 figures