dorsal/arxiv
View SchemaOne-way quantum key distribution: Simple upper bound on the secret key rate
| Authors | Tobias Moroder, Marcos Curty, Norbert Lütkenhaus |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603270 |
| URL | https://arxiv.org/abs/quant-ph/0603270 |
| DOI | 10.1103/PhysRevA.74.052301 |
| Journal | Phys. Rev. A 74, 052301 (2006) |
Abstract
We present a simple method to obtain an upper bound on the achievable secret key rate in quantum key distribution (QKD) protocols that use only unidirectional classical communication during the public-discussion phase. This method is based on a necessary precondition for one-way secret key distillation; the legitimate users need to prove that there exists no quantum state having a symmetric extension that is compatible with the available measurements results. The main advantage of the obtained upper bound is that it can be formulated as a semidefinite program, which can be efficiently solved. We illustrate our results by analysing two well-known qubit-based QKD protocols: the four-state protocol and the six-state protocol. Recent results by Renner et al., Phys. Rev. A 72, 012332 (2005), also show that the given precondition is only necessary but not sufficient for unidirectional secret key distillation.
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"abstract": "We present a simple method to obtain an upper bound on the achievable secret\nkey rate in quantum key distribution (QKD) protocols that use only\nunidirectional classical communication during the public-discussion phase. This\nmethod is based on a necessary precondition for one-way secret key\ndistillation; the legitimate users need to prove that there exists no quantum\nstate having a symmetric extension that is compatible with the available\nmeasurements results. The main advantage of the obtained upper bound is that it\ncan be formulated as a semidefinite program, which can be efficiently solved.\nWe illustrate our results by analysing two well-known qubit-based QKD\nprotocols: the four-state protocol and the six-state protocol. Recent results\nby Renner et al., Phys. Rev. A 72, 012332 (2005), also show that the given\nprecondition is only necessary but not sufficient for unidirectional secret key\ndistillation.",
"arxiv_id": "quant-ph/0603270",
"authors": [
"Tobias Moroder",
"Marcos Curty",
"Norbert L\u00fctkenhaus"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.052301",
"journal_ref": "Phys. Rev. A 74, 052301 (2006)",
"title": "One-way quantum key distribution: Simple upper bound on the secret key rate",
"url": "https://arxiv.org/abs/quant-ph/0603270"
},
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