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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2010
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1549/1/achomf-idaqp%282010%29.pdf http://irep.iium.edu.my/1549/ http://www.worldscinet.com/idaqp/13/1302/S02190257101302.html |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Islam Antarabangsa Malaysia |
| Language: | English |
| id |
my.iium.irep.1549 |
|---|---|
| record_format |
dspace |
| spelling |
my.iium.irep.15492011-09-05T02:59:36Z http://irep.iium.edu.my/1549/ Quantum Markov fields on graphs Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh Q Science (General) QA75 Electronic computers. Computer science QC Physics 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. World Scientific Publishing 2010-06 Article REM application/pdf en http://irep.iium.edu.my/1549/1/achomf-idaqp%282010%29.pdf Accardi, Luigi and Ohno, Hiromichi and Mukhamedov, Farrukh (2010) Quantum Markov fields on graphs. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 13 (2). pp. 165-189. ISSN 0219-0257 http://www.worldscinet.com/idaqp/13/1302/S02190257101302.html 10.1142/S0219025710004000 |
| institution |
Universiti Islam Antarabangsa Malaysia |
| building |
IIUM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
International Islamic University Malaysia |
| content_source |
IIUM Repository (IREP) |
| url_provider |
http://irep.iium.edu.my/ |
| language |
English |
| topic |
Q Science (General) QA75 Electronic computers. Computer science QC Physics |
| spellingShingle |
Q Science (General) QA75 Electronic computers. Computer science QC Physics Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh Quantum Markov fields on graphs |
| description |
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. |
| format |
Article |
| author |
Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh |
| author_facet |
Accardi, Luigi Ohno, Hiromichi Mukhamedov, Farrukh |
| author_sort |
Accardi, Luigi |
| title |
Quantum Markov fields on graphs |
| title_short |
Quantum Markov fields on graphs |
| title_full |
Quantum Markov fields on graphs |
| title_fullStr |
Quantum Markov fields on graphs |
| title_full_unstemmed |
Quantum Markov fields on graphs |
| title_sort |
quantum markov fields on graphs |
| publisher |
World Scientific Publishing |
| publishDate |
2010 |
| url |
http://irep.iium.edu.my/1549/1/achomf-idaqp%282010%29.pdf http://irep.iium.edu.my/1549/ http://www.worldscinet.com/idaqp/13/1302/S02190257101302.html |
| _version_ |
1643604807704903680 |