32 citations · 120 across the 22 of their papers we have counts for
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math-ph2026
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…
math-ph2026
Cocycle Actions on Hidden Quantum Markov Models: Symmetry Protection and Topological Order
Abdessatar Souissi, Abdessatar Barhoumi
We develop a symmetry action framework for hidden quantum Markov models (HQMMs) tailored to one-dimensional quantum spin systems and symmetry-protected topological (SPT) phases. In…
math-ph2026
Causal Architecture in Hidden Quantum Markov Models
Abdessatar Souissi, Abdessatar Barhoumi
We introduce a class of causal hidden quantum Markov models (cHQMMs) that reverse the usual order of hidden updates and emissions compared to conventional HQMMs. Using a simple qub…