Geodesic
Skew information decreases under quantum measurements
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 1, pp. 109-119

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We prove that the skew information decreases under nonselective quantum measurements that do not disturb the conserved observable. We further conjecture that the skew information also decreases under selective quantum measurements, and we prove this for two-dimensional quantum systems.
Keywords: density operator, conserved observable, skew information, quantum measurement, affinity, monotonicity. 
Sh. Luo; Q. Zhang. Skew information decreases under quantum measurements. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 1, pp. 109-119. http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a6/
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