%0 Journal Article %T Quantum properties of classical Fisher information %A Michael J. W. Hall %J Physics %D 1999 %I arXiv %R 10.1103/PhysRevA.62.012107 %X The Fisher information of a quantum observable is shown to be proportional to both (i) the difference of a quantum and a classical variance, thus providing a measure of nonclassicality; and (ii) the rate of entropy increase under Gaussian diffusion, thus providing a measure of robustness. The joint nonclassicality of position and momentum observables is shown to be complementary to their joint robustness in an exact sense. %U http://arxiv.org/abs/quant-ph/9912055v1