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Characterization of several kinds of quantum analogues of relative entropy

Published: 01 November 2006 Publication History

Abstract

Quantum relative entropy D(ρ||σ)def = Tr ρ(log ρ - log σ) 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.

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  1. Characterization of several kinds of quantum analogues of relative entropy

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    Published In

    cover image Quantum Information & Computation
    Quantum Information & Computation  Volume 6, Issue 7
    November 2006
    110 pages

    Publisher

    Rinton Press, Incorporated

    Paramus, NJ

    Publication History

    Published: 01 November 2006
    Revised: 29 March 2006
    Received: 25 October 2005

    Author Tags

    1. additivity
    2. autoparallel curve
    3. divergence
    4. fisher information
    5. monotonicity

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