Recurrence of a class of quantum Markov chains on trees

Entropy of quantum Markov states on Cayley trees

(2022) Farrukh Mukhamedov et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Diagonalizability of Quantum Markov States on Trees

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

Refinement of quantum Markov states on trees

(2021) Farrukh Mukhamedov et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Quantum Markov Chains on Comb Graphs: Ising Model

(2021) Farrukh Mukhamedov et al.   Proceedings of the Steklov Institute of Mathematics

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

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

Factors Generated by XY-Model with Competing Ising Interactions on the Cayley Tree

(2019) Farrukh Mukhamedov et al.   ANNALES HENRI POINCARE

Quantum Markov states on Cayley trees

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

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

Open Quantum Random Walks: Reducibility, Period, Ergodic Properties

(2015) Raffaella Carbone et al.   ANNALES HENRI POINCARE

Homogeneous Open Quantum Random Walks on a Lattice

(2015) Raffaella Carbone et al.   JOURNAL OF STATISTICAL PHYSICS

Central Limit Theorems for Open Quantum Random Walks and Quantum Measurement Records

(2014) Stéphane Attal et al.   ANNALES HENRI POINCARE

Model checking quantum Markov chains

(2013) Yuan Feng et al.   JOURNAL OF COMPUTER AND SYSTEM SCIENCES

Recurrence for branching Markov chains

(2012) Sebastian Müller   ELECTRONIC COMMUNICATIONS IN PROBABILITY

Open Quantum Random Walks

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

Quantum walks: a comprehensive review

(2012) Salvador Elías Venegas-Andraca   Quantum Information Processing

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

Universal quantum computation using the discrete-time quantum walk

(2010) Neil B. Lovett et al.   PHYSICAL REVIEW A

Quantum phase transition using quantum walks in an optical lattice

(2008) C. M. Chandrashekar et al.   PHYSICAL REVIEW A