dorsal/arxiv
View SchemaQuantum Cryptography in Noisy Channels
| Authors | Hoi-Kwong Lo, H. F. Chau |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9511025 |
| URL | https://arxiv.org/abs/quant-ph/9511025 |
Abstract
We provide a complete proof of the security of quantum cryptography against any eavesdropping attack including coherent measurements even in the presence of noise. Polarization-based cryptographic schemes are shown to be equivalent to EPR-based schemes. We also show that the performance of a noisy channel approaches that of a noiseless one as the error rate tends to zero. (i.e., the secrecy capacity $C_s (\epsilon) \to C_s (0)$ as $\epsilon \to 0$.) One implication of our results is that one can {\it double} the efficiency of a most well-known quantum cryptographic scheme proposed by Bennett and Brassard simply by assigning vastly different probabilities to the two conjugate bases.
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"abstract": "We provide a complete proof of the security of quantum cryptography against\nany eavesdropping attack including coherent measurements even in the presence\nof noise. Polarization-based cryptographic schemes are shown to be equivalent\nto EPR-based schemes. We also show that the performance of a noisy channel\napproaches that of a noiseless one as the error rate tends to zero. (i.e., the\nsecrecy capacity $C_s (\\epsilon) \\to C_s (0)$ as $\\epsilon \\to 0$.) One\nimplication of our results is that one can {\\it double} the efficiency of a\nmost well-known quantum cryptographic scheme proposed by Bennett and Brassard\nsimply by assigning vastly different probabilities to the two conjugate bases.",
"arxiv_id": "quant-ph/9511025",
"authors": [
"Hoi-Kwong Lo",
"H. F. Chau"
],
"categories": [
"quant-ph"
],
"title": "Quantum Cryptography in Noisy Channels",
"url": "https://arxiv.org/abs/quant-ph/9511025"
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