dorsal/arxiv
View SchemaA Geometrical Representation of Entanglement as Internal Constraint
| Authors | Diederik Aerts, Bart D'Hooghe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211094 |
| URL | https://arxiv.org/abs/quant-ph/0211094 |
| DOI | 10.1007/s10773-005-7067-6 |
| Journal | International Journal of Theoretical Physics, 44, pp. 897-907, 2005. |
Abstract
We study a system of two entangled spin 1/2, were the spin's are represented by a sphere model developed within the hidden measurement approach which is a generalization of the Bloch sphere representation, such that also the measurements are represented. We show how an arbitrary tensor product state can be described in a complete way by a specific internal constraint between the ray or density states of the two spin 1/2. We derive a geometrical view of entanglement as a 'rotation' and 'stretching' of the sphere representing the states of the second particle as measurements are performed on the first particle. In the case of the singlet state entanglement can be represented by a real physical constraint, namely by means of a rigid rod.
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"abstract": "We study a system of two entangled spin 1/2, were the spin\u0027s are represented\nby a sphere model developed within the hidden measurement approach which is a\ngeneralization of the Bloch sphere representation, such that also the\nmeasurements are represented. We show how an arbitrary tensor product state can\nbe described in a complete way by a specific internal constraint between the\nray or density states of the two spin 1/2. We derive a geometrical view of\nentanglement as a \u0027rotation\u0027 and \u0027stretching\u0027 of the sphere representing the\nstates of the second particle as measurements are performed on the first\nparticle. In the case of the singlet state entanglement can be represented by a\nreal physical constraint, namely by means of a rigid rod.",
"arxiv_id": "quant-ph/0211094",
"authors": [
"Diederik Aerts",
"Bart D\u0027Hooghe"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-005-7067-6",
"journal_ref": "International Journal of Theoretical Physics, 44, pp. 897-907,\n 2005.",
"title": "A Geometrical Representation of Entanglement as Internal Constraint",
"url": "https://arxiv.org/abs/quant-ph/0211094"
},
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