dorsal/arxiv
View SchemaEntangled SU(2) and SU(1,1) coherent states
| Authors | Xiao-Guang Wang, Barry C. Sanders, Shao-hua Pan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001073 |
| URL | https://arxiv.org/abs/quant-ph/0001073 |
| DOI | 10.1088/0305-4470/33/41/312 |
| Journal | J. Phys. A:Math.Gen. 33(2000)7451-7467. |
Abstract
Entangled SU(2) and SU(1,1) coherent states are developed as superpositions of multiparticle SU(2) and SU(1,1) coherent states. In certain cases, these are coherent states with respect to generalized su(2) and su(1,1) generators, and multiparticle parity states arise as a special case. As a special example of entangled SU(2) coherent states, entangled binomial states are introduced and these entangled binomial states enable the contraction from entangled SU(2) coherent states to entangled harmonic oscillator coherent states. Entangled SU(2) coherent states are discussed in the context of pairs of qubits. We also introduce the entangled negative binomial states and entangled squeezed states as examples of entangled SU(1,1) coherent states. A method for generating the entangled SU(2) and SU(1,1) coherent states is discussed and degrees of entanglement calculated. Two types of SU(1,1) coherent states are discussed in each case: Perelomov coherent states and Barut-Girardello coherent states.
{
"annotation_id": "ade3389e-6f90-4718-8682-06d44070abf6",
"date_created": "2026-03-02T18:01:35.857000Z",
"date_modified": "2026-03-02T18:01:35.857000Z",
"file_hash": "45acc9ddc90bb92f16ba0f9fef1fe263013fb86a48511f253b609d931ab1973a",
"private": false,
"record": {
"abstract": "Entangled SU(2) and SU(1,1) coherent states are developed as superpositions\nof multiparticle SU(2) and SU(1,1) coherent states. In certain cases, these are\ncoherent states with respect to generalized su(2) and su(1,1) generators, and\nmultiparticle parity states arise as a special case. As a special example of\nentangled SU(2) coherent states, entangled binomial states are introduced and\nthese entangled binomial states enable the contraction from entangled SU(2)\ncoherent states to entangled harmonic oscillator coherent states. Entangled\nSU(2) coherent states are discussed in the context of pairs of qubits. We also\nintroduce the entangled negative binomial states and entangled squeezed states\nas examples of entangled SU(1,1) coherent states. A method for generating the\nentangled SU(2) and SU(1,1) coherent states is discussed and degrees of\nentanglement calculated. Two types of SU(1,1) coherent states are discussed in\neach case: Perelomov coherent states and Barut-Girardello coherent states.",
"arxiv_id": "quant-ph/0001073",
"authors": [
"Xiao-Guang Wang",
"Barry C. Sanders",
"Shao-hua Pan"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/33/41/312",
"journal_ref": "J. Phys. A:Math.Gen. 33(2000)7451-7467.",
"title": "Entangled SU(2) and SU(1,1) coherent states",
"url": "https://arxiv.org/abs/quant-ph/0001073"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6802682c-7e06-4808-b342-ccfb7a130a5e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}