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arXiv:2406.09157 · Physica Scripta

Uncertainty of quantum channels based on symmetrized ρ-absolute variance and modified Wigner-Yanase skew information

Cong Xu, Qinghua Zhang, Shao-Ming Fei

Published Sep 18, 2024• 2 citations
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Abstract

Abstract We present the uncertainty relations in terms of the symmetrized ρ -absolute variance, which generalizes the uncertainty relations for arbitrary operators (not necessarily Hermitian) to quantum channels. By employing the quantity ∣ U ρ ∣(Φ) proposed by Zhang et al (2023) Quantum Inf. Process . 22 , 456, we also establish tighter uncertainty relations for quantum channels by using the Cauchy-Schwarz inequality. Detailed examples are provided to illustrate the tightness of our results.

DOI
10.1088/1402-4896/ad7cd3

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Tighter sum uncertainty relations via (α,β,γ)(α,β,γ)(α,β,γ) weighted Wigner-Yanase-Dyson skew information
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