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arXiv · 2603.22686

Deterministic quantum master equation for non-Markovian signal processing

Guilherme de Sousa·Diogo O. Soares-Pinto
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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.

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Guilherme de Sousa, Diogo O. Soares-Pinto. 2026-03-24. Deterministic quantum master equation for non-Markovian signal processing. https://doi.org/10.1016/j.physa.2026.131883

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