dorsal/arxiv
View SchemaSimulating Quantum Mechanics by Non-Contextual Hidden Variables
| Authors | Rob Clifton, Adrian Kent |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9908031 |
| URL | https://arxiv.org/abs/quant-ph/9908031 |
| DOI | 10.1098/rspa.2000.0604 |
| Journal | Proc. Roy. Soc. Lond. A (2000) 456, 2101-2114. |
Abstract
No physical measurement can be performed with infinite precision. This leaves a loophole in the standard no-go arguments against non-contextual hidden variables. All such arguments rely on choosing special sets of quantum-mechanical observables with measurement outcomes that cannot be simulated non-contextually. As a consequence, these arguments do not exclude the hypothesis that the class of physical measurements in fact corresponds to a dense subset of all theoretically possible measurements with outcomes and quantum probabilities that \emph{can} be recovered from a non-contextual hidden variable model. We show here by explicit construction that there are indeed such non-contextual hidden variable models, both for projection valued and positive operator valued measurements.
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"abstract": "No physical measurement can be performed with infinite precision. This leaves\na loophole in the standard no-go arguments against non-contextual hidden\nvariables. All such arguments rely on choosing special sets of\nquantum-mechanical observables with measurement outcomes that cannot be\nsimulated non-contextually. As a consequence, these arguments do not exclude\nthe hypothesis that the class of physical measurements in fact corresponds to a\ndense subset of all theoretically possible measurements with outcomes and\nquantum probabilities that \\emph{can} be recovered from a non-contextual hidden\nvariable model. We show here by explicit construction that there are indeed\nsuch non-contextual hidden variable models, both for projection valued and\npositive operator valued measurements.",
"arxiv_id": "quant-ph/9908031",
"authors": [
"Rob Clifton",
"Adrian Kent"
],
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"quant-ph"
],
"doi": "10.1098/rspa.2000.0604",
"journal_ref": "Proc. Roy. Soc. Lond. A (2000) 456, 2101-2114.",
"title": "Simulating Quantum Mechanics by Non-Contextual Hidden Variables",
"url": "https://arxiv.org/abs/quant-ph/9908031"
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