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

Abstract

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.

arXiv comment16 pages

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Cited by in corpus (6)

• Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information
• Uncertainty and complementarity relations based on generalized skew information
• Sum uncertainty relations based on $(\alpha ,\beta ,\gamma )$ weighted Wigner-Yanase-Dyson skew information
• Summation and product forms of uncertainty relations based on metric-adjusted skew information
• Tighter uncertainty relations based on $(\alpha ,\beta ,\gamma )$ modified weighted Wigner-Yanase-Dyson skew information of quantum channels
• Uncertainty relations based on the $\rho$-absolute variance for quantum channels