Order out of chaos. Fractals out of qubits

Abstract: Theory can predict what happens when several non-commuting observables are being simultaneously measured. The results of such repetitive measurements are random and chaotic, but distinct and organized fractal attractors may arise. We study quantum iterated function systems for a qubit, where measurements and quantum jumps are implemented by Moebius transformations of the Bloch sphere. As an example, a quantum fractal resulting from non-commuting parabolic transformations is discussed in detail.

mathematical physicsgeneral physicsquantum physics

Audience: researchers in the topic

( paper )

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QM Foundations & Nature of Time seminar

Series comments: Description: Physics foundations discussion seminar

Current access link in th.if.uj.edu.pl/~dudaj/QMFNoT

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