Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner–Yanase–Dyson skew information

Uncertainty relation is a fundamental issue in quantum mechanics and information theory. By using modified generalized variance (MGV), Wigner–Yanase–Dyson skew (MGWYD), we identify the total uncertainty of channels. The elegant properties channels are explored detail. In addition, present trade-off between entanglement fidelity establish relationships entropy exchange/coherent information. Detailed examples given to explicit formulas Moreover, utilizing realizable experimental measurement scheme by Mach–Zehnder interferometer proposed Nirala et al. (Phys Rev A 99:022111, 2019), discuss how measure total/quantum for pure states.