Large deviation analysis for quantum security via smoothing of Renyi entropy of order 2

Masahito Hayashi

doi:10.1109/tit.2014.2337884

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arXiv · 1202.0322

Large deviation analysis for quantum security via smoothing of Renyi entropy of order 2

Masahito Hayashi

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Abstract

It is known that the security evaluation can be done by smoothing of R\'{e}nyi 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.

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quant-ph cs.CR cs.IT math.IT

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BibTeX RIS

Masahito Hayashi. 2012-02-01. Large deviation analysis for quantum security via smoothing of Renyi entropy of order 2. https://doi.org/10.1109/tit.2014.2337884

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