3 papers
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…
quant-ph2024
An Exponential Mixing Condition for Quantum Channels
Abdessatar Souissi, Abdessatar Barhoumi
Quantum channels, pivotal in information processing, describe transformations within quantum systems and enable secure communication and error correction. Ergodic and mixing proper…