Refinement of quantum Markov states on trees

Diagonalizability of Quantum Markov States on Trees

(2021) Farrukh Mukhamedov et al.   JOURNAL OF STATISTICAL PHYSICS

A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree

(2020) Farrukh Mukhamedov et al.   JOURNAL OF MATHEMATICAL PHYSICS

Open Quantum Random Walks, Quantum Markov Chains and Recurrence

(2019) Ameur Dhahri et al.   REVIEWS IN MATHEMATICAL PHYSICS

Clustering Property of Quantum Markov Chain Associated to XY-model with Competing Ising Interactions on the Cayley Tree of Order Two

(2019) Farrukh Mukhamedov et al.   MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

Open Quantum Random Walks and Quantum Markov Chains

(2019) A. Dhahri et al.   FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field

(2019) Leonid V Bogachev et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Quantum Markov Chains Associated with Open Quantum Random Walks

(2019) Ameur Dhahri et al.   JOURNAL OF STATISTICAL PHYSICS

Quantum Dynamical Mutual Entropy Based on AOW Entropy

(2019) Kyouhei Ohmura et al.   OPEN SYSTEMS & INFORMATION DYNAMICS

Spontaneous SU2(C) symmetry breaking in the ground states of quantum spin chain

(2018) Anilesh Mohari   JOURNAL OF MATHEMATICAL PHYSICS

Quantum Markov states on Cayley trees

(2018) Farrukh Mukhamedov et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones

(2017) M M Rahmatullaev et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Matrix product unitaries: structure, symmetries, and topological invariants

(2017) J Ignacio Cirac et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Uniqueness of Quantum Markov Chain Associated with XY-Ising Model on Cayley Tree of Order Two

(2017) Farrukh Mukhamedov et al.   OPEN SYSTEMS & INFORMATION DYNAMICS

Phase Transitions for Quantum Markov Chains Associated with Ising Type Models on a Cayley Tree

(2016) Farrukh Mukhamedov et al.   JOURNAL OF STATISTICAL PHYSICS

On an Algebraic Property of the Disordered Phase of the Ising Model with Competing Interactions on a Cayley Tree

(2016) Farrukh Mukhamedov et al.   MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

A practical introduction to tensor networks: Matrix product states and projected entangled pair states

(2014) Román Orús   ANNALS OF PHYSICS

On Quantum Markov Chains on Cayley Tree III: Ising Model

(2014) Luigi Accardi et al.   JOURNAL OF STATISTICAL PHYSICS

Open Quantum Random Walks

(2012) S. Attal et al.   JOURNAL OF STATISTICAL PHYSICS

Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists

(2012) M. Ostilli   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

On Quantum Markov Chains on Cayley Tree II: Phase Transitions for the Associated Chain with XY-Model on the Cayley Tree of Order Three

(2011) Luigi Accardi et al.   ANNALES HENRI POINCARE

ON QUANTUM MARKOV CHAINS ON CAYLEY TREE I: UNIQUENESS OF THE ASSOCIATED CHAIN WITH XY-MODEL ON THE CAYLEY TREE OF ORDER TWO

(2011) LUIGI ACCARDI et al.   INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS

QUANTUM MARKOV FIELDS ON GRAPHS

(2010) LUIGI ACCARDI et al.   INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS

Quantum stochastic walks: A generalization of classical random walks and quantum walks

(2010) James D. Whitfield et al.   PHYSICAL REVIEW A

Renormalization and tensor product states in spin chains and lattices

(2009) J Ignacio Cirac et al.   Journal of Physics A-Mathematical and Theoretical

Quantum Markov Model for Data from Shafir-Tversky Experiments in Cognitive Psychology

(2009) Luigi Accardi et al.   OPEN SYSTEMS & INFORMATION DYNAMICS