Abstract
An alternative proof about the monotonicity of skew information via operator algebra approach is formulated. Furthermore, the strong monotonicity of skew information under particular quantum Trace-Preserving and Completely Positive maps is confirmed. A family of new quantum resource measures is introduced if the resource can be characterized by a resource destroying map and the free operation should be also modified. The proposed measure is easy-calculating and applicable to the quantum coherence resource theory as well as the quantum asymmetry theory. The operational interpretation needs to be further investigated.
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