Quantum Markov Chains and Ising model on Cayley tree

• Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
• Other Authors: Accardi, Luigi
• Format: Conference or Workshop Item
• Language: English
• Published: WorldScientific 2013
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/29331/1/mfms-QP-QP-2013.pdf; http://irep.iium.edu.my/29331/
• Institution: Universiti Islam Antarabangsa Malaysia

In the present paper wes tudy forward Quantum Markov Chains (QMC)associated with Ising model on Cayley tree of order k. Using the tree structure of graphs, we give a construction of Quantum Markov Chains on a Cayley tree. By means of such construction we prove the existance of a phase transition for...