3 papers
quant-ph2025
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…
math-ph2025
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…
quant-ph2024
Matrix Product States in Quantum Spin Chains
Abdessatar Souissi, Amenallah Andolsi
In this work, we present a novel representation of matrix product states (MPS) within the framework of quasi-local algebras. By introducing an enhanced compatibility condition, we…