dorsal/arxiv
View SchemaThe Einstein-Podolsky-Rosen Paradox and Entanglement 1: Signatures of EPR correlations for continuous variables
| Authors | M. D. Reid |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112038 |
| URL | https://arxiv.org/abs/quant-ph/0112038 |
Abstract
A generalization of the 1935 Einstein-Podolsky-Rosen (EPR) argument for measurements with continuous variable outcomes is presented to establish criteria for the demonstration of the EPR paradox, for situations where the correlation between spatially separated subsystems is not perfect. Two types of criteria for EPR correlations are determined. The first type are based on measurements of the variances of conditional probability distributions and are necessary to reflect directly the situation of the original EPR paradox. The second weaker set of EPR criteria are based on the proven failure of (Bell-type) local realistic theories which could be consistent with a local quantum description for each subsystem. The relationship with criteria sufficient to prove entanglement is established, to show that any demonstration of EPR correlations will also signify entanglement. It is also shown how a demonstration of entanglement between two spatially separated subsystems, if not able to interpreted as a violation of a Bell-type inequality, may be interpreted as a demonstration of the EPR correlations. In particular it is explained how the experimental observation of two-mode squeezing using spatially separated detectors will signify not only entanglement but EPR correlations defined in a general sense.
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"abstract": "A generalization of the 1935 Einstein-Podolsky-Rosen (EPR) argument for\nmeasurements with continuous variable outcomes is presented to establish\ncriteria for the demonstration of the EPR paradox, for situations where the\ncorrelation between spatially separated subsystems is not perfect. Two types of\ncriteria for EPR correlations are determined. The first type are based on\nmeasurements of the variances of conditional probability distributions and are\nnecessary to reflect directly the situation of the original EPR paradox. The\nsecond weaker set of EPR criteria are based on the proven failure of\n(Bell-type) local realistic theories which could be consistent with a local\nquantum description for each subsystem. The relationship with criteria\nsufficient to prove entanglement is established, to show that any demonstration\nof EPR correlations will also signify entanglement. It is also shown how a\ndemonstration of entanglement between two spatially separated subsystems, if\nnot able to interpreted as a violation of a Bell-type inequality, may be\ninterpreted as a demonstration of the EPR correlations. In particular it is\nexplained how the experimental observation of two-mode squeezing using\nspatially separated detectors will signify not only entanglement but EPR\ncorrelations defined in a general sense.",
"arxiv_id": "quant-ph/0112038",
"authors": [
"M. D. Reid"
],
"categories": [
"quant-ph"
],
"title": "The Einstein-Podolsky-Rosen Paradox and Entanglement 1: Signatures of EPR correlations for continuous variables",
"url": "https://arxiv.org/abs/quant-ph/0112038"
},
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