dorsal/arxiv
View SchemaReconstruction of SU(1,1) States
| Authors | G. S. Agarwal, J. Banerji |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007049 |
| URL | https://arxiv.org/abs/quant-ph/0007049 |
| DOI | 10.1103/PhysRevA.64.023815 |
Abstract
We show how group symmetries can be used to reconstruct quantum states. In our scheme for SU(1,1) states, the input field passes through a non-degenerate parametric amplifier and one measures the probability of finding the output state with a certain number (usually zero) of photons in each mode. The density matrix in the Fock basis is retrieved from the measured data by least squares method after singular value decomposition of the design matrix. Several illustrative examples involving the reconstruction of a pair coherent state, a Perelomov coherent state, and a coherent superposition of pair coherent states are considered.
{
"annotation_id": "830aa850-eca8-4738-afc2-84b62a813546",
"date_created": "2026-03-02T18:01:38.572000Z",
"date_modified": "2026-03-02T18:01:38.572000Z",
"file_hash": "ffe626ab2d7e915f30f2ce5c7e79359099f221c795de404342c8a587df19fc5f",
"private": false,
"record": {
"abstract": "We show how group symmetries can be used to reconstruct quantum states. In\nour scheme for SU(1,1) states, the input field passes through a non-degenerate\nparametric amplifier and one measures the probability of finding the output\nstate with a certain number (usually zero) of photons in each mode. The density\nmatrix in the Fock basis is retrieved from the measured data by least squares\nmethod after singular value decomposition of the design matrix. Several\nillustrative examples involving the reconstruction of a pair coherent state, a\nPerelomov coherent state, and a coherent superposition of pair coherent states\nare considered.",
"arxiv_id": "quant-ph/0007049",
"authors": [
"G. S. Agarwal",
"J. Banerji"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.023815",
"title": "Reconstruction of SU(1,1) States",
"url": "https://arxiv.org/abs/quant-ph/0007049"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "76042202-6aad-4384-8fc5-4b24d57714c3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}