dorsal/arxiv
View SchemaQuantum Surveying: How Entangled Pairs Act as Measuring Rods on Manifolds of Generalized Coherent States
| Authors | Daniel I. Fivel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205012 |
| URL | https://arxiv.org/abs/quant-ph/0205012 |
| DOI | 10.1103/PhysRevA.66.052108 |
Abstract
Generalized coherent states arise from reference states by the action of locally compact transformation groups and thereby form manifolds on which there is an invariant measure. It is shown that this implies the existence of canonically associated Bell states that serve as measuring rods by relating the metric geometry of the manifold to the observed EPR correlations. It is further shown that these correlations can be accounted for by a hidden variable theory which is non-local but invariant under the stability group of the reference state.
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"abstract": "Generalized coherent states arise from reference states by the action of\nlocally compact transformation groups and thereby form manifolds on which there\nis an invariant measure. It is shown that this implies the existence of\ncanonically associated Bell states that serve as measuring rods by relating the\nmetric geometry of the manifold to the observed EPR correlations. It is further\nshown that these correlations can be accounted for by a hidden variable theory\nwhich is non-local but invariant under the stability group of the reference\nstate.",
"arxiv_id": "quant-ph/0205012",
"authors": [
"Daniel I. Fivel"
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"doi": "10.1103/PhysRevA.66.052108",
"title": "Quantum Surveying: How Entangled Pairs Act as Measuring Rods on Manifolds of Generalized Coherent States",
"url": "https://arxiv.org/abs/quant-ph/0205012"
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