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MiS Preprint
44/2024
Wigner-Yanase skew information-based uncertainty relations for quantum channels
Qing-Hua Zhang and Shao-Ming Fei
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.
