Enhanced quantum channel uncertainty relations by skew information

Abstract

By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation, and a sampling technique of observables' coordinates is used to offset randomness in the inequality. It is shown that the lower bounds of the uncertainty relations are tighter than some previous studies.

References in corpus (5)

• Conjectured Strong Complementary Information Tradeoff
• Entropic uncertainty relation for mutually unbiased bases
• Quantum Channels and Representation Theory
• A note on uncertainty relations of arbitrary N quantum channels
• Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality