1 citations · 1 across the 5 of their papers we have counts for
5 papers
AKLT State is Indeed the Observation Process of a causal Hidden quantum Markov Model
Abdessatar Souissi, Amenallah Andolsi
We present a rigorous formulation of the spin-1 Affleck--Kennedy--Lieb--Tasaki (AKLT) state within the framework of hidden quantum Markov models (HQMMs). We show that the AKLT grou…
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…
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 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…
Open Quantum Random Walks and Quantum Markov chains on Trees II: The recurrence
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi +1
In the present paper, we construct QMC (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the r…