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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.6 No.7 November 2006 |
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Characterization of several kinds of
quantum analogues of relative entropy
(pp583-596)
Masahito Hayashi
doi:
https://doi.org/10.26421/QIC6.7-2
Abstracts:
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.
Key words: autoparallel
curve, divergence, Fisher information, monotonicity, additivity |
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