dorsal/arxiv
View SchemaA (Classical) Representation for a Spin-S Entity as a compound system in R^3 consisting of 2S Individual Spin-1/2 Entities
| Authors | Bob Coecke |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105094 |
| URL | https://arxiv.org/abs/quant-ph/0105094 |
Abstract
We generalize the results of [B. Coecke, Helv. Phys. Acta 68, 396 (1995)] for the representation of coherent states of a spin-1 entity to spin-S entities with S>1 and to non-coherent spin states: through the introduction of 'hidden correlations' (see quant-ph/0105093) we introduce a representation for a spin-S entity as a compound system consisting of 2S 'individual' spin-1/2 entities, each of them represented by a 'proper state', and such that we are able to consider a measurement on the spin-S entity as a measurement on each of the individual spin-1/2 entities. If the spin-S entity is in a maximal spin state, the 2S individual spin-1/2 entities behave as a collection of indistinguishable but separated entities. If not so, we have to introduce the same kind of hidden correlations as required for a hidden correlation representation of a compound quantum systems described by a symmetrical superposition. Moreover, by applying the Majorana representation and Aerts' representation for a spin-1/2 entity, this hidden correlation representation yields a classical mechanistic representation of a spin-S entity in R^3.
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"abstract": "We generalize the results of [B. Coecke, Helv. Phys. Acta 68, 396 (1995)] for\nthe representation of coherent states of a spin-1 entity to spin-S entities\nwith S\u003e1 and to non-coherent spin states: through the introduction of \u0027hidden\ncorrelations\u0027 (see quant-ph/0105093) we introduce a representation for a spin-S\nentity as a compound system consisting of 2S \u0027individual\u0027 spin-1/2 entities,\neach of them represented by a \u0027proper state\u0027, and such that we are able to\nconsider a measurement on the spin-S entity as a measurement on each of the\nindividual spin-1/2 entities. If the spin-S entity is in a maximal spin state,\nthe 2S individual spin-1/2 entities behave as a collection of indistinguishable\nbut separated entities. If not so, we have to introduce the same kind of hidden\ncorrelations as required for a hidden correlation representation of a compound\nquantum systems described by a symmetrical superposition. Moreover, by applying\nthe Majorana representation and Aerts\u0027 representation for a spin-1/2 entity,\nthis hidden correlation representation yields a classical mechanistic\nrepresentation of a spin-S entity in R^3.",
"arxiv_id": "quant-ph/0105094",
"authors": [
"Bob Coecke"
],
"categories": [
"quant-ph"
],
"title": "A (Classical) Representation for a Spin-S Entity as a compound system in R^3 consisting of 2S Individual Spin-1/2 Entities",
"url": "https://arxiv.org/abs/quant-ph/0105094"
},
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