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

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.

Fixed references and typos. Added missing definition of the rate function and a note on KMS state