dorsal/arxiv
View SchemaKey distillation from quantum channels using two-way communication protocols
| Authors | Joonwoo Bae, Antonio Acin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610048 |
| URL | https://arxiv.org/abs/quant-ph/0610048 |
| DOI | 10.1103/PhysRevA.75.012334 |
| Journal | Phys. Rev. A 75, 012334 (2007) |
Abstract
We provide a general formalism to characterize the cryptographic properties of quantum channels in the realistic scenario where the two honest parties employ prepare and measure protocols and the known two-way communication reconciliation techniques. We obtain a necessary and sufficient condition to distill a secret key using this type of schemes for Pauli qubit channels and generalized Pauli channels in higher dimension. Our results can be applied to standard protocols such as BB84 or six-state, giving a critical error rate of 20% and 27.6%, respectively. We explore several possibilities to enlarge these bounds, without any improvement. These results suggest that there may exist weakly entangling channels useless for key distribution using prepare and measure schemes.
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"abstract": "We provide a general formalism to characterize the cryptographic properties\nof quantum channels in the realistic scenario where the two honest parties\nemploy prepare and measure protocols and the known two-way communication\nreconciliation techniques. We obtain a necessary and sufficient condition to\ndistill a secret key using this type of schemes for Pauli qubit channels and\ngeneralized Pauli channels in higher dimension. Our results can be applied to\nstandard protocols such as BB84 or six-state, giving a critical error rate of\n20% and 27.6%, respectively. We explore several possibilities to enlarge these\nbounds, without any improvement. These results suggest that there may exist\nweakly entangling channels useless for key distribution using prepare and\nmeasure schemes.",
"arxiv_id": "quant-ph/0610048",
"authors": [
"Joonwoo Bae",
"Antonio Acin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.012334",
"journal_ref": "Phys. Rev. A 75, 012334 (2007)",
"title": "Key distillation from quantum channels using two-way communication protocols",
"url": "https://arxiv.org/abs/quant-ph/0610048"
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