Fisher Information and Quantum Mechanics
نویسندگان
چکیده
منابع مشابه
Covariance and Fisher information in quantum mechanics
Variance and Fisher information are ingredients of the Cramér-Rao inequality. We regard Fisher information as a Riemannian metric on a quantum statistical manifold and choose monotonicity under coarse graining as the fundamental property of variance and Fisher information. In this approach we show that there is a kind of dual one-to-one correspondence between the candidates of the two concepts....
متن کاملHydrodynamical formulation of quantum mechanics , Kähler structure , and Fisher information
The Schrödinger equation can be derived using the minimum Fisher information principle. I discuss why such an approach should work, and also show that the Kähler and Hilbert space structures of quantum mechanics result from combining the symplectic structure of the hydrodynamical model with the Fisher information metric. PACS: 03.65.Bz; 89.70.+c
متن کاملFisher Information and Statistical Mechanics
Fisher information is an important concept in statistical estimation theory and information theory, but it has received relatively little consideration in statistical physics. In order to rectify this oversight, in this brief note I will review the correspondence between Fisher information and uctuations at thermodynamic equilibrium, and discuss various applications of Fisher information to equ...
متن کاملFisher information in quantum statistics
Braunstein and Caves (Braunstein S L and Caves C M 1994 Phys. Rev. Lett. 72 3439– 43) proposed to use Helstrom’s quantum information number to define, meaningfully, a metric on the set of all possible states of a given quantum system. They showed that the quantum information is nothing other than the maximal Fisher information in a measurement of the quantum system, maximized over all possible ...
متن کاملIntroduction to quantum Fisher information
The subject of this paper is a mathematical transition from the Fisher information of classical statistics to the matrix formalism of quantum theory. If the monotonicity is the main requirement, then there are several quantum versions parametrized by a function. In physical applications the minimal is the most popular. There is a one-to-one correspondence between Fisher informations (called als...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Research Journal of Pure and Applied Chemistry
سال: 2012
ISSN: 2231-3443
DOI: 10.9734/irjpac/2012/777