32 citations · 120 across the 22 of their papers we have counts for
4 papers · 1 filter
A Hidden Quantum Markov model framework for Entanglement and Topological Order in the AKLT Chain
Abdessatar Souissi, Amenallah Andolsi
This paper introduces a hidden quantum Markov models (HQMMs) framework to the Affleck-Kennedy-Lieb-Tasaki (AKLT) state-a cornerstone example of a symmetry-protected topological (SP…
Ergodic Theory of Inhomogeneous Quantum Processes
Abdessatar Souissi
This work develops a rigorous framework for analysing ergodicity and mixing in time-inhomogeneous quantum dynamics. It considers quantum evolutions generated by sequences of quantu…
Dynamics of Matrix Product States in the Heisenberg Picture: Projectivity, Ergodicity, and Mixing
Abdessatar Souissi, Amenallah Andolsi
This paper introduces a Heisenberg picture approach to Matrix Product States (MPS), offering a rigorous yet intuitive framework to explore their structure and classification. MPS e…
Matrix Product States as Observations of Entangled Hidden Markov Models
Abdessatar Souissi
This paper reveals the intrinsic structure of Matrix Product States (MPS) by establishing their deep connection to entangled hidden Markov models (EHMMs). It is demonstrated that a…