Quantum properties of classical Fisher information
Quantum Physics
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/9912055,
title = {Quantum properties of classical Fisher information},
author = {Michael J. W. Hall},
journal= {arXiv preprint arXiv:quant-ph/9912055},
year = {2009}
}
Comments
16 pages