Characterization of several kinds of quantum analogues of relative entropy
Quantum relative entropy D(rho parallel to sigma) (def) Tr rho(log rho - log sigma) plays an important role in quantum information and related fields. However, there are many quantum analogues of relative entropy. In this paper, we characterize these analogues from information geometrical viewpoint. We also consider the naturalness of quantum relative entropy among these analogues.
autoparallel curve divergence fisher information monotonicity additivity