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

2003/11/30 by Arkadiusz Jadczyk
Physics and Astronomy · #quant-ph

paper · pdf

published as Chinese Journal of Physics, 43, No. 2, (April 2005), 301-328 · Fixed references and typos. Added missing definition of the rate function and a note on KMS state

arxiv created 2005/01/30 · arxiv updated 2009/12/01

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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