Trace inequalities on a generalized Wigner-Yanase skew information

Details Trace inequalities on a generalized Wigner-Yanase skew information Trace inequalities on a generalized Wigner-Yanase skew information

2009-02-24

arxiv.org/abs/0902.4141v1

Journal of Mathematical Analysis and Applications, Vol.356(2009), pp.179-185

Physics

Quantum Physics

Scientific paper

We introduce a generalized Wigner-Yanase skew information and then derive the trace inequality related to the uncertainty relation. This inequality is a non-trivial generalization of the uncertainty relation derived by S.Luo for the quantum uncertainty quantity excluding the classical mixure. In addition, several trace inequalities on our generalized Wigner-Yanase skew information are argued.

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