Information and entropy as characteristics of resource for quantum technologies

The approach to extend the notion of entanglement for characterizing the properties of quantum correlations in the state of a single qudit is presented. New information and entropic inequalities, such as the subadditivity condition, strong subadditivity condition, and monotonicity of relative entropy for a single qudit corresponding to an arbitrary spin state with spin j are discussed. The idea to employ quantum correlations in the single-qudit state, such as the entanglement, for developing a new quantum technique in quantum computing and quantum communication is proposed. Examples of qutrit and qudit with j = 3/2 are considered [1].
Video (HD quality):
Part 1: http://www.youtube.com/watch?v=ML9fqfI6H9Q
Part 2: http://www.youtube.com/watch?v=OCN5GOnA3Ag
Part 3: http://www.youtube.com/watch?v=DrXay_ycTlQ