The information-theoretical viewpoint on the physical complexity of   classical and quantum objects and their dynamical evolution
  Charles Bennett's measure of physical complexity for classical objects, namely logical-depth, is used in order to prove that a chaotic classical dynamical system is not physical complex. The natural measure of physical complexity for quantum objects, quantum logical-depth, is then introduced in order to prove that a chaotic quantum dynamical system is not physical complex too. 
Gavriel Segre