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

Arkadiusz Jadczyk
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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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Arkadiusz Jadczyk. 2005-01-30. Simultaneous Measurement of Non-commuting Observables and Quantum Fractals on Complex Projective Spaces. https://arxiv.org/abs/quant-ph/0311081

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