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arXiv · 2306.06602

Wigner-Yanase skew information-based uncertainty relations for quantum channels

Qing-Hua Zhang·Shao-ming Fei
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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.

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Qing-Hua Zhang, Shao-ming Fei. 2023-06-11. Wigner-Yanase skew information-based uncertainty relations for quantum channels. https://doi.org/10.1140/epjp/s13360-024-04932-7

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