Quantum Markov chains on a Caylay tree

QR Code

Quantum Markov chains on a Caylay tree

In the present paper we provide a construction of Quantum Markov chain on a Cayley tree. Moreover, we give a concrete example of such chains, which is shift invariant and has the clustering property.

Bibliographic Details
Main Author:	Mukhamedov, Farrukh
Format:	Proceeding Paper
Language:	English
Published:	2009
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/13771/ http://irep.iium.edu.my/13771/1/7-SPACE_023.pdf

Similar Items

Lattice models with interactions on Caylay tree
by: Mukhamedov, Farrukh
Published: (2010)

Quantum Markov chains on a Cayley tree
by: Mukhamedov, Farrukh
Published: (2011)

Generalized quantum Markov chains on a Cayley tree
by: Mukhamedov, Farrukh
Published: (2009)

On construction of quantum Markov chains on Cayley trees
by: Accardi, Luigi, et al.
Published: (2016)

Quantum Markov Chains and Ising model on Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2013)

On phase transitions in Quantum Markov Chains on Cayley tree
by: Accardi, Luigi, et al.
Published: (2011)

On quantum Markov chains on Cayley tree III: Ising model
by: Accardi, Luigi, et al.
Published: (2014)

On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2011)

On quantum Markov chains on Cayley tree II: phase transitions for the associated chain with XY -Model on the Cayley tree of order tree
by: Accardi, Luigi, et al.
Published: (2011)

On Quantum Markov Chains on Cayley tree I: uniqueness of the associated chain with XY-model on the Cayley tree of order two
by: Accardi, Luigi, et al.
Published: (2011)

Phase transitions for XY-model on the Cayley tree of order three in quantum Markov chain scheme
by: Mukhamedov, Farrukh, et al.
Published: (2011)

Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2015)

Phase transitions for quantum Markov chains associated with ising type models on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Uniqueness of quantum Markov chains associated with an XY -model on a Cayley tree of order 2
by: Accardi, Luigi, et al.
Published: (2011)

Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme
by: Mukhamedov, Farrukh, et al.
Published: (2010)

On marginal Markov processes of quantum quadratic stochastic prosses
by: Mukhamedov, Farrukh
Published: (2010)

Uniform and weak ergodicities of noncommutative Markov chains
by: Mukhamedov, Farrukh
Published: (2015)

The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains
by: Mukhamedov, Farrukh
Published: (2013)

On Dobrushin Ergodicity Coefficient and weak ergodicity of Markov Chains on Jordan Algebras
by: Mukhamedov, Farrukh
Published: (2013)

Weak ergodicity of nonhomogeneous Markov chains on noncommutative L1-spaces
by: Mukhamedov, Farrukh
Published: (2013)

Ergodic properties of non-homogeneous Markov chains on ordered Banach spaces
by: Mukhamedov, Farrukh
Published: (2014)

Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base
by: Mukhamedov, Farrukh
Published: (2015)

Ergodicity coefficient and ergodic properties of inhomogeneous Markov chains inordered normed spaces with a base
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base
by: Mukhamedov, Farrukh
Published: (2016)

On L1-weak ergodicity of markov processes
by: Mukhamedov, Farrukh
Published: (2013)

Quantum Markov fields on graphs
by: Accardi, Luigi, et al.
Published: (2010)

Quantum phase transition for Ising type models on a Cayley tree of order two
by: Mukhamedov, Farrukh, et al.
Published: (2014)

On L_1 -weak ergodicity of non-homogeneous discrete Markov processes
by: Mukhamedov, Farrukh
Published: (2012)

On L1-weak ergodicity of nonhomogeneous continuous-time Markov processes
by: Mukhamedov, Farrukh
Published: (2014)

On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
by: Mukhamedov, Farrukh
Published: (2013)

On mixing of Markov measures associated with b−bistochastic QSOs
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Recurrence equations over trees in a non-Archimedean context
by: Mukhamedov, Farrukh
Published: (2014)

Quantum Quadratic operators and processes
by: Mukhamedov, Farrukh, et al.
Published: (2015)

On pure quasi-quantum quadratic operators of of M2(C) II
by: Mukhamedov, Farrukh
Published: (2015)

Dynamics of quantum quadratic Volterra operators
by: Mukhamedov, Farrukh, et al.
Published: (2013)

Renormalization method in p-adic λ-model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2015)

On dynamics of quantum quadratic operators on M2(C)
by: Mukhamedov, Farrukh, et al.
Published: (2010)

On quasi quantum quadratic operators of M2(C)
by: Mukhamedov, Farrukh
Published: (2014)

On quasi quantum quadratic operators of M_2(C)
by: Mukhamedov, Farrukh, et al.
Published: (2014)

Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2012)