dorsal/arxiv
View SchemaCoherent States and the Reconstruction of Pure Spin States
| Authors | Jean-Pierre Amiet, Stefan Weigert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904036 |
| URL | https://arxiv.org/abs/quant-ph/9904036 |
| Journal | J. Opt. B 1 (1999) L5 |
Abstract
Coherent states provide an appealing method to reconstruct efficiently a pure state of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to measure (4s+1) expectations of projection operators on appropriate coherent states in the unknown state. These measurements are compatible with a finite number of states which can be distinguished, in the generic case, by measuring one more probability. In addition, the present technique shows that the zeroes of a Husimi distribution do have an operational meaning: they can be identified directly by measurements with a Stern-Gerlach apparatus. This result comes down to saying that it is possible to resolve experimentally structures in quantum phase-space which are smaller than hbar.
{
"annotation_id": "7f736f7b-7e3b-4e3d-b1c6-7481a0000cf3",
"date_created": "2026-03-02T18:02:44.905000Z",
"date_modified": "2026-03-02T18:02:44.905000Z",
"file_hash": "4262bb2c045ec74515858c7e7969e3bb9079da7aa7826d300d9ed21484a7fdf9",
"private": false,
"record": {
"abstract": "Coherent states provide an appealing method to reconstruct efficiently a pure\nstate of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to\nmeasure (4s+1) expectations of projection operators on appropriate coherent\nstates in the unknown state. These measurements are compatible with a finite\nnumber of states which can be distinguished, in the generic case, by measuring\none more probability. In addition, the present technique shows that the zeroes\nof a Husimi distribution do have an operational meaning: they can be identified\ndirectly by measurements with a Stern-Gerlach apparatus. This result comes down\nto saying that it is possible to resolve experimentally structures in quantum\nphase-space which are smaller than hbar.",
"arxiv_id": "quant-ph/9904036",
"authors": [
"Jean-Pierre Amiet",
"Stefan Weigert"
],
"categories": [
"quant-ph"
],
"journal_ref": "J. Opt. B 1 (1999) L5",
"title": "Coherent States and the Reconstruction of Pure Spin States",
"url": "https://arxiv.org/abs/quant-ph/9904036"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0d633632-e466-4ac9-af98-fa8b7c42d9bb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}