dorsal/arxiv
View SchemaA mechanistic macroscopic physical entity with a three-dimensional Hilbert space description
| Authors | Diederik Aerts, Bob Coecke, Bart D'Hooghe, Frank Valckenborgh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111074 |
| URL | https://arxiv.org/abs/quant-ph/0111074 |
| Journal | Helvetica Physica Acta, 70, 793, 1997 |
Abstract
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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"abstract": "It is sometimes stated that Gleason\u0027s theorem prevents the construction of\nhidden-variable models for quantum entities described in a more than\ntwo-dimensional Hilbert space. In this paper however we explicitly construct a\nclassical (macroscopical) system that can be represented in a three-dimensional\nreal Hilbert space, the probability structure appearing as the result of a lack\nof knowledge about the measurement context. We briefly discuss Gleason\u0027s\ntheorem from this point of view.",
"arxiv_id": "quant-ph/0111074",
"authors": [
"Diederik Aerts",
"Bob Coecke",
"Bart D\u0027Hooghe",
"Frank Valckenborgh"
],
"categories": [
"quant-ph"
],
"journal_ref": "Helvetica Physica Acta, 70, 793, 1997",
"title": "A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description",
"url": "https://arxiv.org/abs/quant-ph/0111074"
},
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"type": "Model",
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