Uncertainty relation on Wigner-Yanase-Dyson skew information
Kenjiro Yanagi
TL;DR
This paper presents a trace inequality that generalizes the uncertainty relation for Wigner-Yanase-Dyson skew information, enhancing understanding of quantum uncertainty beyond classical mixtures.
Contribution
It introduces a new trace inequality related to the uncertainty relation of Wigner-Yanase-Dyson skew information, extending Luo's work to exclude classical mixtures.
Findings
Derived a trace inequality for Wigner-Yanase-Dyson skew information
Generalized Luo's quantum uncertainty relation
Provides mathematical tools for quantum information theory
Abstract
We give a trace inequality related to the uncertainty relation of Wigner-Yanase-Dyson skew information. This inequality corresponds to a generalization of the uncertainty relation derived by S. Luo for the quantum uncertainty quantity excluding the classical mixture.
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Taxonomy
TopicsQuantum Mechanics and Applications · Stochastic processes and financial applications · Statistical Mechanics and Entropy