We treat the security when a given random number is partially leaked to a third party. In this case, application of hash functions generates secure key. In this talk, we treat what kinds of hash functionis useful for this purpose. We also treat how to evaluate the security quantitatively. In the beginning part, we discuss the classical setting. In the next part, we treat the quantum setting, which is important for quantum key distribution.
Masahito Hayashi was born in Japan in 1971.He received the B.S. degree from the Faculty of Sciences in Kyoto University, Japan, in 1994 and the M.S. and Ph.D. degrees in Mathematics from Kyoto University, Japan, in 1996 and 1999, respectively.
He worked in Kyoto University as a Research Fellow of the Japan Society of the Promotion of Science (JSPS) from 1998 to 2000, and worked in the Laboratory for Mathematical Neuroscience, Brain Science Institute, RIKEN from 2000 to 2003, and worked in ERATO Quantum Computation and Information Project, Japan Science and Technology Agency (JST) as the Research Head from 2000 to 2006. He also worked in the Superrobust Computation Project Information Science and Technology Strategic Core (21st Century COE by MEXT) Graduate School of Information Science and Technology, The University of Tokyo as Adjunct Associate Professor from 2004 to 2007. In 2006, he published the book "Quantum Information: An Introduction'' from Springer. From 2007 to 2012, he worked in the Graduate School of Information Sciences, Tohoku University as Associate Professor. In 2012, he joined the Graduate School of Mathematics, Nagoya University as Full Professor. He also worked in Centre for Quantum Technologies, National University of Singapore as Visiting Research Professor from 2012 (Visiting Research Associate Professor from 2009 to 2012).
He is on the Editorial Board of International Journal of Quantum Information and International Journal On Advances in Security. His research interests include quantum information theory, quantum statistical inference, and Shannon Theory.
In 2010, he received Japan IBM Science Award (Computer Science Section). In 2011, he received Information Theory Paper Award (2011) for "Information-Spectrum Approach to Second-Order Coding Rate in Channel Coding", IEEE Trans. Inform. Theory, Nov. 2009.