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

References in corpus (13)

• Classical Equations for Quantum Systems
• Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement
• Quantization of non-Hamiltonian and Dissipative Systems
• On Quantum Jumps, Events and Spontaneous Localization Models
• Bounds and enhancements for the Hartman effect
• Barrier traversal times using a phenomenological track formation model
• Quantum Iterated Function Systems
• Relativistic Time-of-Arrival and Traversal Time
• Topics in Quantum Dynamics
• Nambu mechanics, $n$-ary operations and their quantization
• Controlling Quantum State Reduction
• A Relativistic Extension of Event-Enhanced Quantum Theory
• Quantization of Non-Hamiltonian Systems

Cited by in corpus (1)

• Some Comments on the Formal Structure of Spontaneous Localization Theories