32 citations · 50 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
Phase Transitions for quantum Ising model with competing XY -interactions on a Cayley tree
Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi +1
The main aim of the present paper is to establish the existence of a phase transition for the quantum Ising model with competing XY interactions within the quantum Markov chain (QM…
Phase transitions for Quantum Markov Chains associated with Ising type models on a Cayley tree
Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi
The main aim of the present paper is to prove the existence of a phase transition in quantum Markov chain (QMC) scheme for the Ising type models on a Cayley tree. Note that this ki…