Skew information-based uncertainty relations for quantum channels

The most general quantum measurements in quantum mechanics are described by quantum channels (quantum operations), and intrinsic uncertainties emerge from the state-channel interaction. In this paper, we study uncertainty relations for arbitrary quantum channels in terms of generalized skew information, which was introduced by Wigner and Yanase only for Hermitian operators and has recently been generalized to arbitrary operators. We illustrate the uncertainty relations by explicit examples. Specifically, for unitary channels we make a comparison between the new bounds and existing results.