Uncertainty relations with the generalized Wigner–Yanase–Dyson skew information

The uncertainty principle in quantum mechanics is a fundamental relation with different forms, including Heisenberg’s uncertainty relation and Schrödinger’s uncertainty relation. We introduce the generalized Wigner–Yanase–Dyson correlation and the related quantities. Various properties of them are discussed. Finally, we establish several generalizations of uncertainty relation expressed in terms of the generalized Wigner–Yanase–Dyson skew information.

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