dorsal/arxiv
View SchemaWigner-function description of EPR experiment
| Authors | Riccardo Franco |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701075 |
| URL | https://arxiv.org/abs/quant-ph/0701075 |
Abstract
We provide a detailed description of the EPR paradox (in the Bohm version) for a two qubit-state in the discrete Wigner function formalism. We compare the probability distributions for two qubit relevant to simultaneously-measurable observables (computed from the Wigner function) with the probability distributions representing two perfectly-correlated classic particles in a discrete phase-space. We write in both cases the updating formulae after a measure, thus obtaining a mathematical definition of \textit{classic collapse} and \textit{quantum collapse}. We study, with the EPR experiment, the joint probability distributions of Alice's and Bob's qubit before and after the measure, analyzing the non-local effects. In particular, we give a more precise definition of locality, which we call m-locality: we show that quantum systems may violate this kind of locality, thus preserving, in an EPR-like argument, the completeness of Quantum Mechanics.
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"abstract": "We provide a detailed description of the EPR paradox (in the Bohm version)\nfor a two qubit-state in the discrete Wigner function formalism. We compare the\nprobability distributions for two qubit relevant to simultaneously-measurable\nobservables (computed from the Wigner function) with the probability\ndistributions representing two perfectly-correlated classic particles in a\ndiscrete phase-space. We write in both cases the updating formulae after a\nmeasure, thus obtaining a mathematical definition of \\textit{classic collapse}\nand \\textit{quantum collapse}. We study, with the EPR experiment, the joint\nprobability distributions of Alice\u0027s and Bob\u0027s qubit before and after the\nmeasure, analyzing the non-local effects. In particular, we give a more precise\ndefinition of locality, which we call m-locality: we show that quantum systems\nmay violate this kind of locality, thus preserving, in an EPR-like argument,\nthe completeness of Quantum Mechanics.",
"arxiv_id": "quant-ph/0701075",
"authors": [
"Riccardo Franco"
],
"categories": [
"quant-ph"
],
"title": "Wigner-function description of EPR experiment",
"url": "https://arxiv.org/abs/quant-ph/0701075"
},
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"execution_id": "4cfaa614-df79-4120-a712-dd8420e33b5f",
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"type": "Model",
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