On Quantum Iterated Function Systems

Details On Quantum Iterated Function Systems On Quantum Iterated Function Systems

2003-12-10

arxiv.org/abs/nlin/0312021v2

Central European Journal of Physics, vol. 2, no 3 (2004) pp. 492-503

Nonlinear Sciences

Chaotic Dynamics

Latex, 12 pages, 3 figures. Added plot of numerical estimate of the averaged contraction parameter fro quantum octahedron over

Scientific paper

10.2478/BF02476427

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.

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