The natural definition of the quantum dynamical entropy in the framework of deformation quantization

TL;DR

This paper proposes a straightforward way to define quantum dynamical entropy within deformation quantization by equating it to the classical Kolmogorov-Sinai entropy of the quantum flow.

Contribution

It introduces a natural and simple definition of quantum dynamical entropy in the deformation quantization framework, linking it to classical entropy concepts.

Findings

Quantum dynamical entropy can be defined as Kolmogorov-Sinai entropy of the quantum flow.

The approach simplifies the understanding of quantum entropy in deformation quantization.

Provides a bridge between classical and quantum dynamical systems.

Abstract

It is shown how, in the framework of deformation quantization, the quantum dynamical entropy may be simply defined as the Kolmogorov-Sinai's entropy of the quantum flow.