TY - JOUR
T1 - Quantum properties of classical fisher information
AU - Hall, Michael J.W.
PY - 2000/7
Y1 - 2000/7
N2 - Two connections between classical Fisher information and quantum systems are presented. First, it is demonstrated that the classical Fisher information of a quantum observable is proportional to the difference between the quantum variance and the classical variance of the conjugate observable. Further, it is shown that the classical Fisher information is proportional to the rate of entropy increase of the observable when the quantum system is subjected to Gaussian diffusion.
AB - Two connections between classical Fisher information and quantum systems are presented. First, it is demonstrated that the classical Fisher information of a quantum observable is proportional to the difference between the quantum variance and the classical variance of the conjugate observable. Further, it is shown that the classical Fisher information is proportional to the rate of entropy increase of the observable when the quantum system is subjected to Gaussian diffusion.
UR - http://www.scopus.com/inward/record.url?scp=0034229456&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.62.012107
DO - 10.1103/PhysRevA.62.012107
M3 - Article
SN - 1050-2947
VL - 62
SP - 12107
EP - 12101
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
ER -