A note on Wigner-Yanase skew information-based uncertainty of quantum channels

Abstract

The variance of quantum channels involving a mixed state gives a hybrid of classical and quantum uncertainties. We seek certain decomposition of variance into classical and quantum parts in terms of the Wigner-Yanase skew information. Generalizing the uncertainty relations for quantum observables to quantum channels, we introduce a new quantity with better quantum mechanical nature to describe the uncertainty relations for quantum channels. We derive several uncertainty relations for quantum channels via variances and the Wigner-Yanase skew information.

11 pages, 1 figure

References in corpus (5)

• Stronger uncertainty relations for the sum of variances
• Characterization of quantum angular-momentum fluctuations via principal components
• A note on uncertainty relations of arbitrary N quantum channels
• Tighter sum uncertainty relations via metric-adjusted skew information
• A note on uncertainty relations of metric-adjusted skew information

Cited by in corpus (1)

• Uncertainty of quantum channels based on symmetrized \r{ho}-absolute variance and modified Wigner-Yanase skew information