2003/12/31 by Arkadiusz Jadczyk · 1 citation
Physics and Astronomy · Mathematics · #nlin.CD #math.DS #math.PR #quant-ph
paper · pdf · doi:10.2478/bf02476427
published as Central European Journal of Physics, vol. 2, no 3 (2004) pp. 492-503 · Latex, 12 pages, 3 figures. Added plot of numerical estimate of the averaged contraction parameter fro quantum octahedron over the whole range of the fuzziness parameter. Added a theorem and proof of the uniqueness of the invariant measure. At the very end added subsection on "open problems"
Quantum Iterated Function System on a complex projective space is defined by a family of linear operators on a complex Hilbert space. The operators define both the maps and their probabilities by one algebraic formula. Examples with conformal maps (relativistic boosts) on the Bloch sphere are discussed.