dorsal/arxiv
View SchemaExposed-key weakness of $\alpha \eta$
| Authors | Charlene Ahn, Kevin Birnbaum |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612058 |
| URL | https://arxiv.org/abs/quant-ph/0612058 |
| DOI | 10.1016/j.physleta.2007.05.052 |
| Journal | Phys. Lett. A 370, 131 (2007) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The $\alpha \eta$ protocol given by Barbosa \emph{et al.}, PRL 90, 227901 (2003) claims to be a secure way of encrypting messages using mesoscopic coherent states. We show that transmission under $\alpha \eta$ exposes information about the secret key to an eavesdropper, and we estimate the rate at which an eavesdropper can learn about the key. We also consider the consequences of using further randomization to protect the key and how our analysis applies to this case. We conclude that $\alpha \eta$ is not informationally secure.
{
"annotation_id": "02fc9f07-dbe9-403d-b68c-a36b2ef51c72",
"date_created": "2026-03-02T18:02:34.186000Z",
"date_modified": "2026-03-02T18:02:34.186000Z",
"file_hash": "f286312a3f4cf128d2b94e8a028ff5900fe3154a1c2445bdffa04fa056562834",
"private": false,
"record": {
"abstract": "The $\\alpha \\eta$ protocol given by Barbosa \\emph{et al.}, PRL 90, 227901\n(2003) claims to be a secure way of encrypting messages using mesoscopic\ncoherent states. We show that transmission under $\\alpha \\eta$ exposes\ninformation about the secret key to an eavesdropper, and we estimate the rate\nat which an eavesdropper can learn about the key. We also consider the\nconsequences of using further randomization to protect the key and how our\nanalysis applies to this case. We conclude that $\\alpha \\eta$ is not\ninformationally secure.",
"arxiv_id": "quant-ph/0612058",
"authors": [
"Charlene Ahn",
"Kevin Birnbaum"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2007.05.052",
"journal_ref": "Phys. Lett. A 370, 131 (2007)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Exposed-key weakness of $\\alpha \\eta$",
"url": "https://arxiv.org/abs/quant-ph/0612058"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ce73c0ca-9f11-477c-8b10-f721e77f23c4",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}