Abdessatar Souissi: Ergodic Theory of Inhomogeneous Quantum Processes.
Автор: Al-Khwarizmi Applied Mathematics Webinar
Загружено: 2025-12-23
Просмотров: 282
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Abstract: This work presents a rigorous framework for understanding ergodicity and mixing in time-inhomogeneous quantum systems. By analyzing quantum processes driven by sequences of quantum channels, we distinguish between forward and backward dynamics and reveal their fundamental asymmetries. A key contribution is the development of a quantum Markov-Dobrushin approach to characterize mixing behavior, offering clear criteria for convergence and exponential stability. The framework not only generalizes classical and homogeneous quantum models but also applies to non-translation invariant matrix product states, highlighting its relevance to real-world quantum systems.
These results contribute to the mathematical foundations of quantum dynamics and support the broader goal of advancing quantum information science.
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