CS219C
Ph219C/CS219C Due: Thursday 14 April 2022 1.1 Positivity of quantum relative entropy a) Show that ln x ≤ x−1 for all positive real x, with equality iff x = 1. b) The (classical) relative entropy of a probability distribution {p(x)} relative to {q(x)} is defined as D(p∥q)≡p(x)(logp(x)−logq(x)) . (1) x with equality iff the probability …