English

Characterization of several kinds of quantum analogues of relative entropy

Quantum Physics 2007-05-23 v3

Abstract

Quantum relative entropy D(ρσ)\defeq\Trρ(logρlogσ)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.

Keywords

Cite

@article{arxiv.quant-ph/0510181,
  title  = {Characterization of several kinds of quantum analogues of relative entropy},
  author = {Masahito Hayashi},
  journal= {arXiv preprint arXiv:quant-ph/0510181},
  year   = {2007}
}