dorsal/arxiv
View SchemaClassicality of spin-coherent states via entanglement and distinguishability
| Authors | D. Markham, V. Vedral |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208179 |
| URL | https://arxiv.org/abs/quant-ph/0208179 |
| DOI | 10.1103/PhysRevA.67.042113 |
| Journal | Phys.Rev.A 67 (2003) 042113 |
Abstract
We investigate the classical nature of the spin coherent states. In addition to being minimum uncertainty states, as the size of the spin, S, increases, the classical nature is seen to increase in two respects: in their resistance to entanglement generation (when passed through a beam splitter) and in the distinguishability of the states. In the infinite S limit the spin coherent state is a subclass of the optical coherent states (namely the subclass of orthogonal optical coherent states). These states generate no entanglement and are obviously completely distinguishable. The decline of the generated entanglement, and in this sense increase in classicality with S, is very slow and dependent on the amplitude z of the state. Surprisingly we find that for |z| > 1 there is an initial increase in entanglement followed by an extremely gradual decline to zero. The distinguishability, on the other hand, quickly becomes classical for all z. We illustrate the distinguishability of spin coherent states in a novel manner using the representation of Majorana.
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"abstract": "We investigate the classical nature of the spin coherent states. In addition\nto being minimum uncertainty states, as the size of the spin, S, increases, the\nclassical nature is seen to increase in two respects: in their resistance to\nentanglement generation (when passed through a beam splitter) and in the\ndistinguishability of the states. In the infinite S limit the spin coherent\nstate is a subclass of the optical coherent states (namely the subclass of\northogonal optical coherent states). These states generate no entanglement and\nare obviously completely distinguishable. The decline of the generated\nentanglement, and in this sense increase in classicality with S, is very slow\nand dependent on the amplitude z of the state. Surprisingly we find that for\n|z| \u003e 1 there is an initial increase in entanglement followed by an extremely\ngradual decline to zero. The distinguishability, on the other hand, quickly\nbecomes classical for all z. We illustrate the distinguishability of spin\ncoherent states in a novel manner using the representation of Majorana.",
"arxiv_id": "quant-ph/0208179",
"authors": [
"D. Markham",
"V. Vedral"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.042113",
"journal_ref": "Phys.Rev.A 67 (2003) 042113",
"title": "Classicality of spin-coherent states via entanglement and distinguishability",
"url": "https://arxiv.org/abs/quant-ph/0208179"
},
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