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Simultaneous Measurement of Non-commuting Observables and Quantum Fractals on Complex Projective Spaces Export

(30 Jan 2005)

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dodecahedral ifs measurement non-commuting observables projective-space qifs quantum-dodecahedron quantum-fractals

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Simultaneous measurement of several noncommuting observables is modeled by using semigroups of completely positive maps on an algebra with a non-trivial center. The resulting piecewise-deterministic dynamics leads to chaos and to nonlinear iterated function systems (quantum fractals) on complex projective spaces.


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