@article{Souissi2026, 
author = {Abdessatar Souissi and Abdessatar Barhoumi},
title = {Sequential mixing condition for continuous-time entangled Markov chains},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {1637-1652},
keywords = {entanglement, continuous-time, Markov chains, mixing, quantum theory, inhomogeneous},
url = {https://www.sciopen.com/article/10.3934/math.2026068},
doi = {10.3934/math.2026068},
abstract = {We established a continuous-time framework for entangled quantum Markov chains derived from classical continuous-time Markov processes. Unlike previous studies focused on discrete-time dynamics, we demonstrated that a robust mixing property emerges directly from the structural architecture of the underlying continuous-time process. Our analysis showed that inhomogeneous entangled chains exhibited path-independent convergence to a limiting distribution determined by asymptotic temporal parameters. The results motivated future study of these entangled Markov chains in connection with open quantum system dynamics and quantum master equations.}
}