Smooth Metric Adjusted Skew Information Rates

DOI DOI Web Site 被引用文献2件 参考文献74件
  • Koji Yamaguchi
    Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
  • Hiroyasu Tajima
    Department of Communication Engineering and Informatics, University of Electro-Communications, 1-5-1 Chofugaoka, Chofu, Tokyo, 182-8585, Japan

説明

<jats:p>Metric adjusted skew information, induced from quantum Fisher information, is a well-known family of resource measures in the resource theory of asymmetry. However, its asymptotic rates are not valid asymmetry monotone since it has an asymptotic discontinuity. We here introduce a new class of asymmetry measures with the smoothing technique, which we term smooth metric adjusted skew information. We prove that its asymptotic sup- and inf-rates are valid asymptotic measures in the resource theory of asymmetry. Furthermore, it is proven that the smooth metric adjusted skew information rates provide a lower bound for the coherence cost and an upper bound for the distillable coherence.</jats:p>

収録刊行物

  • Quantum

    Quantum 7 1012-, 2023-05-22

    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

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