IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Physical symmetries and Fisher's information measure
Autor/es:
F. PENNINI; A. PLASTINO; B.H. SOFFER; C. VIGNAT
Revista:
PHYSICS LETTERS A
Editorial:
Elsevier
Referencias:
Lugar: Holanda; Año: 2009 vol. 373 p. 817 - 820
ISSN:
0375-9601
Resumen:
We investigate the physical consequences of imposing symmetry requirements to the CramerRao
inequality, and investigate in particular translation, inversion, and rotation and show the above relation
remains invariant under these transformations, which adds additional flavor to the adjective shiftinvariant
attached to the concept of Fisher measure. In particular, if the inequality is saturated, it remains
so under any transformation represented by a square matrix, representative of a (physical) unitary
operator, as is the case in the all important instance of the classical harmonic oscillator.