5 papers · 1 filter
Quantum Viterbi Algorithm
Luigi Accardi, Abdessatar Souissi, El Gheteb Soueidi +2
We introduce a quantum Viterbi decoding algorithm for hidden quantum Markov models (HQMMs) motivated by quantum information processing and quantum algorithms. Given a finite sequen…
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…
Matrix Product States as Observations of Entangled Hidden Markov Models
Abdessatar Souissi
This paper reveals the intrinsic structure of Matrix Product States (MPS) by establishing their deep connection to entangled hidden Markov models (EHMMs). It is demonstrated that a…
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…
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…