Large deviation analysis for quantum security via smoothing of Renyi entropy of order 2
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arXiv
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| Format: | Preprint |
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2012
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| _version_ | 1866914940639510528 |
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| author | Hayashi, Masahito |
| author_facet | Hayashi, Masahito |
| contents | It is known that the security evaluation can be done by smoothing of Rényi entropy of order 2 in the classical and quantum settings when we apply universal$_2$ hash functions. Using the smoothing of Renyi entropy of order 2, we derive security bounds for $L_1$ distinguishability and modified mutual information criterion under the classical and quantum setting, and have derived these exponential decreasing rates. These results are extended to the case when we apply $\varepsilon$-almost dual universal$_2$ hash functions. Further, we apply this analysis to the secret key generation with error correction. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1202_0322 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Large deviation analysis for quantum security via smoothing of Renyi entropy of order 2 Hayashi, Masahito Quantum Physics Cryptography and Security Information Theory It is known that the security evaluation can be done by smoothing of Rényi entropy of order 2 in the classical and quantum settings when we apply universal$_2$ hash functions. Using the smoothing of Renyi entropy of order 2, we derive security bounds for $L_1$ distinguishability and modified mutual information criterion under the classical and quantum setting, and have derived these exponential decreasing rates. These results are extended to the case when we apply $\varepsilon$-almost dual universal$_2$ hash functions. Further, we apply this analysis to the secret key generation with error correction. |
| title | Large deviation analysis for quantum security via smoothing of Renyi entropy of order 2 |
| topic | Quantum Physics Cryptography and Security Information Theory |
| url | https://arxiv.org/abs/1202.0322 |