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.

16 pages

References in corpus (4)

• Variance-based uncertainty relations for incompatible observables
• Error-Disturbance Trade-off in Sequential Quantum Measurements
• Uncertainties of genuinely incompatible triple measurements based on statistical distance
• Uncertainty Relation Based on Skew Information with Quantum Memory

Cited by in corpus (3)

• 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