Masahito Hayashi
Published 2005-10-24, updated 2005-12-20Version 3
Quantum relative entropy $D(\rho\|\sigma)\defeq\Tr \rho (\log \rho- \log \sigma)$ 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.
Journal: Quantum Information and Computation, Vol. 6, 583-596 (2006);
Non-maximally entangled states: production, characterization and utilization
Characterization of the entanglement of two squeezed states
Characterization of multipartite entanglement in terms of local transformations
