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Schrödinger uncertainty relation for the monotone triple skew information

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We get a Schr\"odinger uncertainty relation for the monotone triple skew information which was introduced by Yanagi and Kajihara. This information extends the monotone pair skew information as well as Wigner-Yanase-Dyson skew information.

Abstract

We get a Schr\"odinger uncertainty relation for the monotone triple skew information which was introduced by Yanagi and Kajihara. This information extends the monotone pair skew information as well as Wigner-Yanase-Dyson skew information.

참고문헌 (10)

  1. L. Cai, "On convexity of generalized Wigner-Yanase-Dyson information", Lett. Math. Phys, 83(3), pp.253~264 (2008)
  2. S. Furuichi, "Inequalities for Tsallis relative entropy and generalized skew information", Linear Multilinear Algebra, 59(10), pp.1143~1158 (2011)
  3. S. Furuich, "Schr¨dinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure", J. Math. Anal. Appl, 388(2), pp.1147~1156 (2012)
  4. C. K. Ko, "Uncertainty relation associated with a monotone pair skew information", J. Math. Anal. Appl, 383(1), pp.208~214 (2011)
  5. C. K. Ko, "Schr¨odinger uncertainty relation and convexity for the monotone pair skew information", Tohoku Math. J, 66(1), pp.107~117 (2014)
  6. E. H. Lieb, "Convex trace functions and the Wigner-Yanase-Dyson conjecture", Adv. Math, 11, pp.267~288 (1973)
  7. E. P. Wigner, "Information content of distribution", Proc. Nat. Acad. Sci. U.S.A, 49, pp.910~918 (1963)
  8. K. Yanagi, "Uncertainty relation on generalized Wigner-Yanase-Dyson skew information", Linear Algebra Appl, 433(8-10), pp.1524~1532 (2010)
  9. K. Yanagi, "Uncertainty relation on Wigner-Yanase-Dyson skew information", J. Math. Anal. Appl, 365(1), pp.12~18 (2010)
  10. K. Yanagi, "Generalized uncertainty relation associated with a monotone or anti-monotone pair skew information", Research and communications in Mathematics and Mathematical Sciences, 1(1), pp.1~18 (2012)

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