Title :
On skew information
Author :
Luo, Shunlong ; Zhang, Qiang
Author_Institution :
Sch. of Math. & Stat., Carleton Univ., Beijing, China
Abstract :
In this paper, we show that skew information introduced by Wigner and Yanase, which is a natural informational extension of variance for pure states, can be interpreted as a measure of quantum uncertainty. By virtue of skew information, we establish a new uncertainty relation in the spirit of Schrodinger, which incorporates both incompatibility (encoded in the commutator) and correlations (encoded in a new correlation measure related to skew information) between observables, and moreover is stronger than the conventional ones.
Keywords :
indeterminancy; information theory; quantum statistical mechanics; Fisher information; incompatibility; natural informational extension; quantum states; quantum uncertainty; skew information; uncertainty relations; Algebra; Councils; Density measurement; Mathematics; Measurement uncertainty; Particle measurements; Quantum mechanics; State estimation; State-space methods; Statistics; Fisher information; quantum estimation; quantum states; skew information; uncertainty relations;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.831853
