dorsal/arxiv
View SchemaA Bell Theorem Without Inequalities for Two Particles, Using Inefficient Detectors
| Authors | Daniel Greenberger, Michael Horne, Anton Zeilinger, Marek Zukowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510207 |
| URL | https://arxiv.org/abs/quant-ph/0510207 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We again consider (as in a companion paper) an entangled two-particle state that is produced from two independent down-conversion sources by the process of "entanglement-swapping", so that the particles have never met. We show that there is a natural extension of the Einstein-Pololsky-Rosen discussion of "elements of reality" to include inefficient detectors. We consider inefficient deterministic, local, realistic models of quantum theory that are "robust", which we consider to be the minimum requirement for them to be taken seriously. By robust, we mean they satisfy the following three criteria: (a) they reproduce the quantum results for perfect correlations, if all particles are detected; (b) they produce some counts for every setting of the angles (so they don't describe some experiments that can easily be performed as "impossible"); (c) all their hidden variables are relevant (they must each produce a detectable result in some experiment). For such models we prove a Greenberger-Horne-Zeilinger (GHZ) type theorem for arbitrary detection efficiencies, showing that any such theory is inconsistent with the quantum mechanical perfect correlations. This theorem holds for individual events with no inequalities. As a result, the theorem is also independent of any random sampling hypothesis.
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"abstract": "We again consider (as in a companion paper) an entangled two-particle state\nthat is produced from two independent down-conversion sources by the process of\n\"entanglement-swapping\", so that the particles have never met. We show that\nthere is a natural extension of the Einstein-Pololsky-Rosen discussion of\n\"elements of reality\" to include inefficient detectors. We consider inefficient\ndeterministic, local, realistic models of quantum theory that are \"robust\",\nwhich we consider to be the minimum requirement for them to be taken seriously.\nBy robust, we mean they satisfy the following three criteria: (a) they\nreproduce the quantum results for perfect correlations, if all particles are\ndetected; (b) they produce some counts for every setting of the angles (so they\ndon\u0027t describe some experiments that can easily be performed as \"impossible\");\n(c) all their hidden variables are relevant (they must each produce a\ndetectable result in some experiment). For such models we prove a\nGreenberger-Horne-Zeilinger (GHZ) type theorem for arbitrary detection\nefficiencies, showing that any such theory is inconsistent with the quantum\nmechanical perfect correlations. This theorem holds for individual events with\nno inequalities. As a result, the theorem is also independent of any random\nsampling hypothesis.",
"arxiv_id": "quant-ph/0510207",
"authors": [
"Daniel Greenberger",
"Michael Horne",
"Anton Zeilinger",
"Marek Zukowski"
],
"categories": [
"quant-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A Bell Theorem Without Inequalities for Two Particles, Using Inefficient Detectors",
"url": "https://arxiv.org/abs/quant-ph/0510207"
},
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