Quantum security analysis via smoothing of Renyi entropy of order 2

Abstract

It is known that the security evaluation can be done by smoothing of Rényi entropy of order 2 in the quantum setting when we apply universal2 hash functions. This fact can be extended to the case when we apply ε-almost dual universal2 hash functions, which is a generalized concept of universal2 hash functions. Demonstrating the smoothing of Rényi entropy of order 2, we derived security bounds for universal composability and mutual information criterion under the condition in the quantum setting. © Springer-Verlag Berlin Heidelberg 2013.