Generalized Wigner-Yanase-Dyson skew information and uncertainty relation

We give a trace inequality related to the uncertainty relation of generalized Wigner-Yanase-Dyson skew information which includes our result in [16].

[1]  P. Gibilisco,et al.  A Robertson-type Uncertainty Principle and Quantum Fisher Information , 2007, 0707.1231.

[2]  E. Lieb.  Convex trace functions and the Wigner-Yanase-Dyson conjecture , 1973 .

[3]  S. Luo.  Heisenberg uncertainty relation for mixed states , 2005 .

[4]  Hideki Kosaki.  Matrix Trace Inequalities Related to Uncertainty Principle , 2005 .

[5]  Qiang Zhang,et al.  On skew information , 2004, IEEE Transactions on Information Theory.

[6]  L. C. Kwek,et al.  Uncertainty relation of mixed states by means of Wigner-Yanase-Dyson information , 2009 .

[7]  Fumio Hiai,et al.  Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations , 2009, IEEE Transactions on Information Theory.

[8]  Jean-Christophe Bourin,et al.  Some inequalities for norms on matrices and operators , 1999 .

[9]  Luo Shun-Long,et al.  Direct approach to quantum extensions of Fisher information , 2007 .

[10]  Kenjiro Yanagi,et al.  A generalized skew information and uncertainty relation , 2005, IEEE Transactions on Information Theory.

[11]  E. Wigner,et al.  INFORMATION CONTENTS OF DISTRIBUTIONS. , 1963, Proceedings of the National Academy of Sciences of the United States of America.

[12]  Frank Hansen,et al.  Inequalities for Quantum Skew Information , 2008 .

[13]  Jun Ichi Fujii.  A trace inequality arising from quantum information theory , 2005 .

[14]  S. Luo,et al.  On Convexity of Generalized Wigner–Yanase–Dyson Information , 2008 .

[15]  김준기,et al.  Trace inequalities on a generalized Wigner–Yanase skew information , 2009, 0902.4141.

[16]  Kenjiro Yanagi,et al.  Uncertainty relation on Wigner-Yanase-Dyson skew information , 2009, 1003.3907.