Abstract

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 the Ising model on a Cayley tree of order k in QMC scheme. By the phase transition we mean the existance of two not quasi equivelant QMC for the given family of interaction operators.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.