Title :
Precise evaluation of leaked information with universal2 privacy amplification in the presence of quantum attacker
Author :
Hayashi, Masahito
Author_Institution :
Grad. Sch. of Math., Nagoya Univ., Nagoya, Japan
Abstract :
We treat secret key extraction when the eavesdropper has correlated quantum states. We propose quantum privacy amplification theorems different from Renner´s, which are based on quantum conditional Rényi entropy of order 1 + s. Using those theorems, we derive an exponential decreasing rate for leaked information and the asymptotic equivocation rate, which have not been derived hitherto in the quantum setting.
Keywords :
entropy; private key cryptography; quantum cryptography; asymptotic equivocation rate; correlated quantum states; information leakage; quantum attacker; quantum conditional Renyi entropy; quantum privacy amplification; secret key extraction; universal privacy amplification; Entropy; Manganese; Mutual information; Privacy; Quantum mechanics; Random variables; Security; equivocation rate; exponential decreasing rate; non-asymptotic bounds; secret key generation; universal hash function;
Conference_Titel :
Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
978-1-4673-2580-6
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2012.6284690
