8 research outputs found
Entropy and Quantum Kolmogorov Complexity: A Quantum Brudno's Theorem
In classical information theory, entropy rate and Kolmogorov complexity per
symbol are related by a theorem of Brudno. In this paper, we prove a quantum
version of this theorem, connecting the von Neumann entropy rate and two
notions of quantum Kolmogorov complexity, both based on the shortest qubit
descriptions of qubit strings that, run by a universal quantum Turing machine,
reproduce them as outputs.Comment: 26 pages, no figures. Reference to publication added: published in
the Communications in Mathematical Physics
(http://www.springerlink.com/content/1432-0916/
Anisotropy of the orbital methods and the magnetic dipole term in : An {\it ab-initio} studt
A systematic study is performed by the {\it ab-initio} density functional
theory of the anisotropy of the orbital moments in bulk . Two different band-structure techniques are
used (FLAPW and LMTO-ASA), and the electronic correlations are treated by the
local-spin-density approximation (LSDA), the LSDA+ orbital polarization method,
and the LSDA+ method. The calculated anisotropies of are
very large compared to Fe, Ni and Co but still a factor of 5 and 2 smaller than
the anisotropies obtained from a recently suggested analysis of the X-ray
magnetic circular dichroism spectra for a thick layer of