Quantum Markov fields on graphs
We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on spin systems to that on C∗-algebras defined by general graphs. As examples of generalized d Markov chains, we construct the entangled Markov fields on tree graphs. The con...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1549/ http://irep.iium.edu.my/1549/ http://irep.iium.edu.my/1549/ http://irep.iium.edu.my/1549/1/achomf-idaqp%282010%29.pdf |
| Summary: | We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on spin systems to that on C∗-algebras
defined by general graphs. As examples of generalized d Markov chains, we construct the entangled Markov fields on tree graphs. The concrete examples of generalized d-Markov chains on Cayley trees are also investigated. |
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