69 research outputs found

    Schr\"odinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure

    Get PDF
    In this paper, we give a Schr\"odinger-type uncertainty relation using the Wigner-Yanase-Dyson skew information. In addition, we give Schr\"odinger-type uncertainty relation by use of a two-parameter extended correlation measure. Moreover, we give the further generalization for Schr\"odinger-type uncertainty relation by metric adjusted correlation measure. These results generalize our previous result in [Phys. Rev. A, Vol.82(2010), 034101].Comment: Section 3 was revise

    Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information

    Full text link
    Uncertainty relation is a core issue in quantum mechanics and quantum information theory. We introduce modified generalized Wigner-Yanase-Dyson (MGWYD) skew information and modified weighted generalizedWigner-Yanase-Dyson (MWGWYD) skew information, and establish new uncertainty relations in terms of the MGWYD skew information and MWGWYD skew information.Comment: 16 page

    Tighter uncertainty relations based on (α,β,γ)(\alpha,\beta,\gamma) modified weighted Wigner-Yanase-Dyson skew information of quantum channels

    Full text link
    We use a novel formation to illustrate the (α,β,γ\alpha,\beta,\gamma) modified weighted Wigner-Yanase-Dyson ((α,β,γ\alpha,\beta,\gamma) MWWYD) skew information of quantum channels. By using operator norm inequalities, we explore the sum uncertainty relations for arbitrary NN quantum channels and for unitary channels. These uncertainty inequalities are shown to be tighter than the existing ones by a detailed example. Our results are also applicable to the modified weighted Wigner-Yanase-Dyson (MWWYD) skew information and the (α,γ\alpha,\gamma) modified weighted Wigner-Yanase-Dyson ((α,γ\alpha,\gamma) MWWYD) skew information of quantum channels as special cases.Comment: 12 pages, 2 figure

    Schr\"odinger uncertainty relation with Wigner-Yanase skew information

    Full text link
    We shall give a new Schr\"odinger type uncertainty relation for a quantity representing a quantum uncertainty, introduced by S.Luo in \cite{Luo1}. Our result improves the Heisenberg uncertainty relation shown in \cite{Luo1} for a mixed state.Comment: to appear in Phys.Rev.

    A generalized skew information and uncertainty relation

    Full text link
    A generalized skew information is defined and a generalized uncertainty relation is established with the help of a trace inequality which was recently proven by J.I.Fujii. In addition, we prove the trace inequality conjectured by S.Luo and Z.Zhang. Finally we point out that Theorem 1 in {\it S.Luo and Q.Zhang, IEEE Trans.IT, Vol.50, pp.1778-1782 (2004)} is incorrect in general, by giving a simple counter-example.Comment: to appear in IEEE TI
    corecore