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

• URL: http://arxiv.org/abs/2312.12800v1
• Date: Wed, 20 Dec 2023 06:41:02 GMT
• Title: A note on Wigner-Yanase skew information-based uncertainty of quantum channels
• Authors: Qing-Hua Zhang, Jing-Feng Wu, Shao-Ming Fei
• Abstract summary: 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.
• Score: 11.738923802183306
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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