On phase transitions in Quantum Markov Chains on Cayley tree
In the present paper we continue our investigations started in [Accardi L. , Ohno, H. , Mukhamedov, F. , Quantum Markov fields on graphs, Inf. Dim. Analysis, Quantum Probab. Related Topics (accepted) arxi v: 0911 . 1667]. In [Accardi L., Mukhamedov, F., Saburov M. On Quantum Markov chains on Cayley...
محفوظ في:
| المؤلفون الرئيسيون: | , , |
|---|---|
| التنسيق: | فصل الكتاب |
| اللغة: | English |
| منشور في: |
World Scientific
2011
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://irep.iium.edu.my/12133/1/acmfms-quantumBio-Info-IV_2.pdf http://irep.iium.edu.my/12133/ |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| id |
my.iium.irep.12133 |
|---|---|
| record_format |
dspace |
| spelling |
my.iium.irep.121332012-12-28T06:52:41Z http://irep.iium.edu.my/12133/ On phase transitions in Quantum Markov Chains on Cayley tree Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In the present paper we continue our investigations started in [Accardi L. , Ohno, H. , Mukhamedov, F. , Quantum Markov fields on graphs, Inf. Dim. Analysis, Quantum Probab. Related Topics (accepted) arxi v: 0911 . 1667]. In [Accardi L., Mukhamedov, F., Saburov M. On Quantum Markov chains on Cayley tree and associated chains with XY-model arxiv: 1004.3623] we provided a construction of forward and backward Quantum Markov Chains (QMC) defined on the Cayley tree, and established uniqueness of QMC associated with XY-model on a Cayley tree order 2. In the present paper we study the same model on a Cayley tree order 3. Surprisingly in this case, we establish a phase transition (i.e. existence of two distinct quantum Markov chains) for the considered model on the Cayley tree order 3. World Scientific Accardi, Luigi Freudenberg, Wolfgang Ohya, Masanori 2011 Book Chapter REM application/pdf en http://irep.iium.edu.my/12133/1/acmfms-quantumBio-Info-IV_2.pdf Accardi, Luigi and Mukhamedov, Farrukh and Saburov, Mansoor (2011) On phase transitions in Quantum Markov Chains on Cayley tree. In: Quantum Bio-Informatics IV. QP-PQ: Quantum Probability and White Noise Analysis, 28 . World Scientific, Singapore, pp. 267-278. ISBN 13 978-981-4343-75-6 |
| 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 |
QA Mathematics |
| spellingShingle |
QA Mathematics Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor On phase transitions in Quantum Markov Chains on Cayley tree |
| description |
In the present paper we continue our investigations started in [Accardi L. , Ohno, H. , Mukhamedov, F. , Quantum Markov fields on graphs, Inf. Dim. Analysis, Quantum Probab. Related Topics (accepted) arxi v: 0911 . 1667]. In [Accardi L., Mukhamedov, F., Saburov M. On Quantum Markov chains on Cayley tree and associated chains with XY-model arxiv: 1004.3623] we provided a construction of forward and backward Quantum Markov Chains (QMC) defined on the Cayley
tree, and established uniqueness of QMC associated with XY-model on a Cayley tree order 2. In the present paper we study the same model on a Cayley tree order 3. Surprisingly in this case, we establish a phase transition (i.e. existence of two distinct quantum Markov chains) for the considered model on the Cayley tree order 3. |
| author2 |
Accardi, Luigi |
| author_facet |
Accardi, Luigi Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor |
| format |
Book Chapter |
| author |
Accardi, Luigi Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort |
Accardi, Luigi |
| title |
On phase transitions in Quantum Markov Chains on Cayley tree |
| title_short |
On phase transitions in Quantum Markov Chains on Cayley tree |
| title_full |
On phase transitions in Quantum Markov Chains on Cayley tree |
| title_fullStr |
On phase transitions in Quantum Markov Chains on Cayley tree |
| title_full_unstemmed |
On phase transitions in Quantum Markov Chains on Cayley tree |
| title_sort |
on phase transitions in quantum markov chains on cayley tree |
| publisher |
World Scientific |
| publishDate |
2011 |
| url |
http://irep.iium.edu.my/12133/1/acmfms-quantumBio-Info-IV_2.pdf http://irep.iium.edu.my/12133/ |
| _version_ |
1643606582089482240 |
| score |
13.250246 |