Kähler fibrations in quantum information theory
نویسندگان
چکیده
We discuss the fibre bundle of co-adjoint orbits compact Lie groups, and show how it admits a compatible Kähler structure. The case unitary group allows us to reformulate geometric framework quantum information theory. In particular, we that Fisher tensor gives rise structure is sufficiently close generalise some classical result on orbits.
منابع مشابه
Hydrodynamical 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
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ژورنال
عنوان ژورنال: Manuscripta Mathematica
سال: 2021
ISSN: ['0025-2611', '1432-1785']
DOI: https://doi.org/10.1007/s00229-021-01311-9