Large Deviation Analysis for Quantum Security via Smoothing of Rényi Entropy of Order 2

摘要

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 Rényi 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. Furthermore, we apply this analysis to the secret key generation with error correction.