Tree-homogeneous quantum Markov chains

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Markov processes (60Jxx) Equilibrium statistical mechanics (82Bxx)

Cites Work

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Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree
Model checking quantum Markov chains
Open quantum random walks
Construction of a new class of quantum Markov fields
On quantum Markov chains on Cayley tree. II: Phase transitions for the associated chain with \(XY\)-model on the Cayley tree of order three
Homogeneous open quantum random walks on a lattice
Conditional expectations in von Neumann algebras and a theorem of Takesaki
On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree
Random walks and diffusion on networks
Quantum Markov states on Cayley trees
Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras
Limit theorems for open quantum random walks
Quantum Markov chains on comb graphs: Ising model
Open quantum random walks and quantum Markov chains
On period, cycles and fixed points of a quantum channel
On a class of quantum channels, open random walks and recurrence
Quantum random walks in one dimension
Diagonalizability of quantum Markov states on trees
Recurrence of a class of quantum Markov chains on trees
Gibbs Measures on Cayley Trees
Quantum Computation and Quantum Information
QUANTUM MARKOV FIELDS ON GRAPHS
Dynamical entropy of generalized quantum Markov chains over infinite dimensional algebras
QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
Quantum Markov chains and classical random sequences
A Class of Quantum Markov Fields on Tree-like Graphs: Ising-type Model on a Husimi Tree
Phase transition of an open quantum walk
Entropy of quantum Markov states on Cayley trees
Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions
Quantum Markov chains: A unification approach
A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree
Refinement of quantum Markov states on trees
Open quantum random walks, quantum Markov chains and recurrence
Non-reversal Open Quantum Walks
MARKOV STATES AND CHAINS ON THE CAR ALGEBRA
Quantum Markov chains
Quantum Markov Model for Data from Shafir-Tversky Experiments in Cognitive Psychology
Open quantum random walks: reducibility, period, ergodic properties

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