Entropy of quantum Markov states on Cayley trees

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

Quantum Dynamical Mutual Entropy Based on AOW Entropy

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

Gibbs Measures Over Locally Tree-Like Graphs and Percolative Entropy Over Infinite Regular Trees

(2018) Tim Austin et al.   JOURNAL OF STATISTICAL PHYSICS

Quantum Markov states on Cayley trees

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

Matrix product unitaries: structure, symmetries, and topological invariants

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

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 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

Note on Entropies of Quantum Dynamical Systems

(2010) Noboru Watanabe   FOUNDATIONS OF PHYSICS

QUANTUM MARKOV FIELDS ON GRAPHS

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

Renormalization and tensor product states in spin chains and lattices

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