dorsal/arxiv
View SchemaGeneralized coherent states are unique Bell states of quantum systems with Lie group symmetries
| Authors | C. Brif, A. Mann, M. Revzen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707019 |
| URL | https://arxiv.org/abs/quant-ph/9707019 |
| DOI | 10.1103/PhysRevA.57.742 |
| Journal | Phys.Rev. A57 (1998) 742 |
Abstract
We consider quantum systems, whose dynamical symmetry groups are semisimple Lie groups, which can be split or decay into two subsystems of the same symmetry. We prove that the only states of such a system that factorize upon splitting are the generalized coherent states. Since Bell's inequality is never violated by the direct product state, when the system prepared in the generalized coherent state is split, no quantum correlations are created. Therefore, the generalized coherent states are the unique Bell states, i.e., the pure quantum states preserving the fundamental classical property of satisfying Bell's inequality upon splitting.
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"abstract": "We consider quantum systems, whose dynamical symmetry groups are semisimple\nLie groups, which can be split or decay into two subsystems of the same\nsymmetry. We prove that the only states of such a system that factorize upon\nsplitting are the generalized coherent states. Since Bell\u0027s inequality is never\nviolated by the direct product state, when the system prepared in the\ngeneralized coherent state is split, no quantum correlations are created.\nTherefore, the generalized coherent states are the unique Bell states, i.e.,\nthe pure quantum states preserving the fundamental classical property of\nsatisfying Bell\u0027s inequality upon splitting.",
"arxiv_id": "quant-ph/9707019",
"authors": [
"C. Brif",
"A. Mann",
"M. Revzen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.57.742",
"journal_ref": "Phys.Rev. A57 (1998) 742",
"title": "Generalized coherent states are unique Bell states of quantum systems with Lie group symmetries",
"url": "https://arxiv.org/abs/quant-ph/9707019"
},
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