How not to Rényi-generalize the quantum conditional mutual information

Paul Erker

    Research output: Contribution to journalArticleResearchpeer-review

    2 Citations (Scopus)

    Abstract

    © 2015 IOP Publishing Ltd. We study the relation between the quantum conditional mutual information and the quantum -Rényi divergences. Considering the totally antisymmetric state we show that it is not possible to attain a proper generalization of the quantum conditional mutual information by optimizing the distance in terms of quantum -Rényi divergences over the set of all Markov states. The failure of the approach considered arises from the observation that a small quantum conditional mutual information does not imply that the state is close to a quantum Markov state.
    Original languageEnglish
    Article number275303
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume48
    Issue number27
    DOIs
    Publication statusPublished - 10 Jul 2015

    Keywords

    • non-i.i.d.
    • quantum conditional mutual information
    • quantum information theory
    • Rényi divergences

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