dorsal/arxiv
View SchemaSecurity bound of two-bases quantum key-distribution protocols using qudits
| Authors | Georgios M. Nikolopoulos, Gernot Alber |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507221 |
| URL | https://arxiv.org/abs/quant-ph/0507221 |
| DOI | 10.1103/PhysRevA.72.032320 |
| Journal | Phys. Rev. A 72, 032320 (2005) |
Abstract
We investigate the security bounds of quantum cryptographic protocols using $d$-level systems. In particular, we focus on schemes that use two mutually unbiased bases, thus extending the BB84 quantum key distribution scheme to higher dimensions. Under the assumption of general coherent attacks, we derive an analytic expression for the ultimate upper security bound of such quantum cryptography schemes. This bound is well below the predictions of optimal cloning machines. The possibility of extraction of a secret key beyond entanglement distillation is discussed. In the case of qutrits we argue that any eavesdropping strategy is equivalent to a symmetric one. For higher dimensions such an equivalence is generally no longer valid.
{
"annotation_id": "ed886253-51d5-4e03-adce-cf2cdc894e4b",
"date_created": "2026-03-02T18:02:20.527000Z",
"date_modified": "2026-03-02T18:02:20.527000Z",
"file_hash": "ffc0e52f1c7cbaef62535eefb2444e83d1c88322de45ecc6f0e4acfab478f376",
"private": false,
"record": {
"abstract": "We investigate the security bounds of quantum cryptographic protocols using\n$d$-level systems. In particular, we focus on schemes that use two mutually\nunbiased bases, thus extending the BB84 quantum key distribution scheme to\nhigher dimensions. Under the assumption of general coherent attacks, we derive\nan analytic expression for the ultimate upper security bound of such quantum\ncryptography schemes. This bound is well below the predictions of optimal\ncloning machines. The possibility of extraction of a secret key beyond\nentanglement distillation is discussed. In the case of qutrits we argue that\nany eavesdropping strategy is equivalent to a symmetric one. For higher\ndimensions such an equivalence is generally no longer valid.",
"arxiv_id": "quant-ph/0507221",
"authors": [
"Georgios M. Nikolopoulos",
"Gernot Alber"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.032320",
"journal_ref": "Phys. Rev. A 72, 032320 (2005)",
"title": "Security bound of two-bases quantum key-distribution protocols using qudits",
"url": "https://arxiv.org/abs/quant-ph/0507221"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7cadb3c8-75c3-43a9-8ad3-0b3609abad29",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}