Cut Noise.
Work Quantum.

This paper investigates the classical limit of quantum master equations featuring double-bracket dissipators (commutators and anticommutators) using a phase-space representation and a systematic -expansion.

Understanding the classical limit of non-unitary quantum dynamics is essential for designing robust quantum technologies and simulating open systems. Demonstrating that complex dissipative dynamics correspond to gradient flows provides a powerful geometric framework that can be leveraged by professionals for quantum control, optimization, and machine learning algorithms. The analysis of higher-order nested brackets offers insight into numerical spectral filtering techniques used in many-body physics, linking them to physical quantum channels.