dorsal/arxiv
View SchemaOn local-hidden-variable no-go theorems
| Authors | A. A. Methot |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507149 |
| URL | https://arxiv.org/abs/quant-ph/0507149 |
| DOI | 10.1139/P06-036 |
| Journal | Canadian Journal of Physics 84: 633-638, 2006. |
Abstract
The strongest attack against quantum mechanics came in 1935 in the form of a paper by Einstein, Podolsky and Rosen. It was argued that the theory of quantum mechanics could not be called a complete theory of Nature, for every element of reality is not represented in the formalism as such. The authors then put forth a proposition: we must search for a theory where, upon knowing everything about the system, including possible hidden variables, one could make precise predictions concerning elements of reality. This project was ultimatly doomed in 1964 with the work of Bell Bell, who showed that the most general local hidden variable theory could not reproduce correlations that arise in quantum mechanics. There exist mainly three forms of no-go theorems for local hidden variable theories. Although almost every physicist knows the consequences of these no-go theorems, not every physicist is aware of the distinctions between the three or even their exact definitions. Thus we will discuss here the three principal forms of no-go theorems for local hidden variable theories of Nature. We will define Bell inequalities, Bell inequalities without inequalities and pseudo-telepathy. A discussion of the similarities and differences will follow.
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"abstract": "The strongest attack against quantum mechanics came in 1935 in the form of a\npaper by Einstein, Podolsky and Rosen. It was argued that the theory of quantum\nmechanics could not be called a complete theory of Nature, for every element of\nreality is not represented in the formalism as such. The authors then put forth\na proposition: we must search for a theory where, upon knowing everything about\nthe system, including possible hidden variables, one could make precise\npredictions concerning elements of reality. This project was ultimatly doomed\nin 1964 with the work of Bell Bell, who showed that the most general local\nhidden variable theory could not reproduce correlations that arise in quantum\nmechanics. There exist mainly three forms of no-go theorems for local hidden\nvariable theories. Although almost every physicist knows the consequences of\nthese no-go theorems, not every physicist is aware of the distinctions between\nthe three or even their exact definitions. Thus we will discuss here the three\nprincipal forms of no-go theorems for local hidden variable theories of Nature.\nWe will define Bell inequalities, Bell inequalities without inequalities and\npseudo-telepathy. A discussion of the similarities and differences will follow.",
"arxiv_id": "quant-ph/0507149",
"authors": [
"A. A. Methot"
],
"categories": [
"quant-ph"
],
"doi": "10.1139/P06-036",
"journal_ref": "Canadian Journal of Physics 84: 633-638, 2006.",
"title": "On local-hidden-variable no-go theorems",
"url": "https://arxiv.org/abs/quant-ph/0507149"
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