dorsal/arxiv
View SchemaConditional quantum-state transformation at a beam splitter
| Authors | J. Clausen, M. Dakna, L. Knoll, D. -G. Welsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9811063 |
| URL | https://arxiv.org/abs/quant-ph/9811063 |
| DOI | 10.1088/1464-4266/1/3/306 |
Abstract
Using conditional measurement on a beam splitter, we study the transformation of the quantum state of the signal mode within the concept of two-port non-unitary transformation. Allowing for arbitrary quantum states of both the input reference mode and the output reference mode on which the measurement is performed, we show that the non-unitary transformation operator can be given as an $s$-ordered operator product, where the value of $s$ is entirely determined by the absolute value of the beam splitter reflectance (or transmittance). The formalism generalizes previously obtained results that can be recovered by simple specification of the non-unitary transformation operator. As an application, we consider the generation of Schr\"odinger-cat-like states. An extension to mixed states and imperfect detection is outlined.
{
"annotation_id": "f27edf43-9bf5-4e63-805e-735f19901bb0",
"date_created": "2026-03-02T18:02:45.083000Z",
"date_modified": "2026-03-02T18:02:45.083000Z",
"file_hash": "d81dca97e760d0f49a4f8f98e94edf01ca1865157334c65362510920b4217df7",
"private": false,
"record": {
"abstract": "Using conditional measurement on a beam splitter, we study the transformation\nof the quantum state of the signal mode within the concept of two-port\nnon-unitary transformation. Allowing for arbitrary quantum states of both the\ninput reference mode and the output reference mode on which the measurement is\nperformed, we show that the non-unitary transformation operator can be given as\nan $s$-ordered operator product, where the value of $s$ is entirely determined\nby the absolute value of the beam splitter reflectance (or transmittance). The\nformalism generalizes previously obtained results that can be recovered by\nsimple specification of the non-unitary transformation operator. As an\napplication, we consider the generation of Schr\\\"odinger-cat-like states. An\nextension to mixed states and imperfect detection is outlined.",
"arxiv_id": "quant-ph/9811063",
"authors": [
"J. Clausen",
"M. Dakna",
"L. Knoll",
"D. -G. Welsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/1/3/306",
"title": "Conditional quantum-state transformation at a beam splitter",
"url": "https://arxiv.org/abs/quant-ph/9811063"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ea62ce34-3fc8-4ba8-801a-88978393e557",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}