# Metric adjusted skew information

@article{Hansen2008MetricAS, title={Metric adjusted skew information}, author={Frank Hansen}, journal={Proceedings of the National Academy of Sciences}, year={2008}, volume={105}, pages={9909 - 9916} }

We extend the concept of Wigner–Yanase–Dyson skew information to something we call “metric adjusted skew information” (of a state with respect to a conserved observable). This “skew information” is intended to be a non-negative quantity bounded by the variance (of an observable in a state) that vanishes for observables commuting with the state. We show that the skew information is a convex function on the manifold of states. It also satisfies other requirements, proposed by Wigner and Yanase… Expand

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#### 93 Citations

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