Wigner-Yanase skew information-based uncertainty relations for quantum channels

Abstract

The Wigner-Yanase skew information stands for the uncertainty about the information on the values of observables not commuting with the conserved quantity. The Wigner-Yanase skew information-based uncertainty relations can be regarded as a complementarity to the conceptual Heisenberg uncertainty principle. We present tight uncertainty relations in both product and summation forms for two quantum channels based on the Wigner-Yanase skew information. We show that our uncertainty inequalities are tighter than the existing ones.

11 pages, 1 figure

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Cited by in corpus (2)

• Suppressing excitations in the nonlinear Landau-Zener model
• Uncertainty relations based on the $\rho$-absolute variance for quantum channels