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arXiv · 2312.12800

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

Qing-Hua Zhang·Jing-Feng Wu·Shao-Ming Fei
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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.

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Qing-Hua Zhang, Jing-Feng Wu, Shao-Ming Fei. 2023-12-20. A note on Wigner-Yanase skew information-based uncertainty of quantum channels. https://doi.org/10.1007/s11128-023-04201-z

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