Simultaneous Measurement of Non-commuting Observables and Quantum Fractals on Complex Projective Spaces
Arkadiusz Jadczyk
Abstract
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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