dorsal/arxiv
View SchemaOntological Models for Quantum Mechanics and the Kochen-Specker theorem
| Authors | Terry Rudolph |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608120 |
| URL | https://arxiv.org/abs/quant-ph/0608120 |
Abstract
Certain concrete "ontological models" for quantum mechanics (models in which measurement outcomes are deterministic and quantum states are equivalent to classical probability distributions over some space of `hidden variables') are examined. The models are generalizations of Kochen and Specker's such model for a single 2-dimensional system - in particular a model for a three dimensional quantum system is considered in detail. Unfortunately, it appears the models do not quite reproduce the quantum mechanical statistics. They do, however, come close to doing so, and in as much as they simply involve probability distributions over the complex projective space they do reproduce pretty much everything else in quantum mechanics. The Kochen-Specker theorem is examined in the light of these models, and the rather mild nature of the manifested contextuality is discussed.
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"abstract": "Certain concrete \"ontological models\" for quantum mechanics (models in which\nmeasurement outcomes are deterministic and quantum states are equivalent to\nclassical probability distributions over some space of `hidden variables\u0027) are\nexamined. The models are generalizations of Kochen and Specker\u0027s such model for\na single 2-dimensional system - in particular a model for a three dimensional\nquantum system is considered in detail. Unfortunately, it appears the models do\nnot quite reproduce the quantum mechanical statistics. They do, however, come\nclose to doing so, and in as much as they simply involve probability\ndistributions over the complex projective space they do reproduce pretty much\neverything else in quantum mechanics.\n The Kochen-Specker theorem is examined in the light of these models, and the\nrather mild nature of the manifested contextuality is discussed.",
"arxiv_id": "quant-ph/0608120",
"authors": [
"Terry Rudolph"
],
"categories": [
"quant-ph"
],
"title": "Ontological Models for Quantum Mechanics and the Kochen-Specker theorem",
"url": "https://arxiv.org/abs/quant-ph/0608120"
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