dorsal/arxiv
View SchemaNon-Locality and Classical Communication of the Hidden Variable Theories
| Authors | A. Fahmi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511009 |
| URL | https://arxiv.org/abs/quant-ph/0511009 |
Abstract
In all local realistic theories worked out till now, locality is considered as a basic assumption. Most people in the field consider the inconsistency between local realistic theories and quantum mechanics to be a result of non-local nature of quantum mechanics. In this paper, we derive Bell's inequality for particles with instantaneous interactions, and show that the aforementioned contradiction still exists between quantum mechanics and non-local hidden variable models. Then, we use this non-locality to obtain the GHZ theorem. In what follows, we show that Bacon and Toner's protocol, for the simulation of Bell correlation, by using local hidden variables augmented by classical communication, have some inconsistency with quantum mechanics. Our approach can answer to Brassard questions from another viewpoint, we show that if we accept that our nature obeys quantum mechanical laws, then all of quantum mechanic results cannot be simulated by realistic theories augmented by classical communication or a single instance use of non-local box.
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"abstract": "In all local realistic theories worked out till now, locality is considered\nas a basic assumption. Most people in the field consider the inconsistency\nbetween local realistic theories and quantum mechanics to be a result of\nnon-local nature of quantum mechanics. In this paper, we derive Bell\u0027s\ninequality for particles with instantaneous interactions, and show that the\naforementioned contradiction still exists between quantum mechanics and\nnon-local hidden variable models. Then, we use this non-locality to obtain the\nGHZ theorem. In what follows, we show that Bacon and Toner\u0027s protocol, for the\nsimulation of Bell correlation, by using local hidden variables augmented by\nclassical communication, have some inconsistency with quantum mechanics. Our\napproach can answer to Brassard questions from another viewpoint, we show that\nif we accept that our nature obeys quantum mechanical laws, then all of quantum\nmechanic results cannot be simulated by realistic theories augmented by\nclassical communication or a single instance use of non-local box.",
"arxiv_id": "quant-ph/0511009",
"authors": [
"A. Fahmi"
],
"categories": [
"quant-ph"
],
"title": "Non-Locality and Classical Communication of the Hidden Variable Theories",
"url": "https://arxiv.org/abs/quant-ph/0511009"
},
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"execution_id": "3d68faba-42e5-410e-876a-40af051b674d",
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