Deterministic quantum master equation for non-Markovian signal processing
Quantum Physics
2026-03-25 v1
Abstract
In this work, we derive a deterministic master equation to model a general, possibly non-Markovian, feedback. The master equation describes a system with a general evolution and measurement operation, with feedback being applied in terms of signal processing. The feedback signal has an arbitrary structure with dimensionality that indicates the degree of non-Markovianity of the information processing. We present examples to illustrate how such a master equation can be used to model systems with memory feedback and non-trivial frequency dependence.
Cite
@article{arxiv.2603.22686,
title = {Deterministic quantum master equation for non-Markovian signal processing},
author = {Guilherme de Sousa and Diogo O. Soares-Pinto},
journal= {arXiv preprint arXiv:2603.22686},
year = {2026}
}