In 1970, I started off my adventure in the mathematical wonderland of completely positive linear maps (alias, quantum channels). Now, I am awaken to the new era of quantum computers, with all sorts of information processes in the setting of non-commutative analysis. As the time runs backwards in an alternating world through the looking glass, I have to come back to the same old scene to release myself from quantum entanglements. In particular, I shall give a MODERN report on my 1975 paper (Completely positive linear maps on complex matrices, Linear Algebra Appl. 10 (1975), pp. 285-290) which has been cited in more than 500 recent research articles (as shown in Google Scholars of March 2011).
This is an expository talk in the simple language of mathematics; no background knowledge of information theory will be assumed for this talk.
(PLEASE NOTE NON-STANDARD DATE, TIME, AND LOCATION)