Tree-Homogeneous Quantum Markov Chains

被引：3
|
作者：
Souissi, Abdessatar [1 ,2 ]
Mukhamedov, Farrukh [3 ,4 ]
Barhoumi, Abdessatar [2 ,5 ]
机构：
[1] Qassim Univ, Coll Business Management, Dept Management Informat Syst, ArRass 58611, Saudi Arabia
[2] King Faisal Univ, Coll Sci, Dept Math & Stat, POB 400, Al Hufuf 31982, Al Ahsa, Saudi Arabia
[3] United Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain 15551, U Arab Emirates
[4] Inst Math, 4 Univ Str,100125 Str, Tashkent 100125, Uzbekistan
[5] Univ Carthage, Math Phys Quantum Modeling & Mech Design, LR18ES45, Sidi Bou Said,Ave Republ, Carthage 1054, Tunisia
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2023年 / 62卷 / 02期
关键词：
Markov chains; Cayley tree; Disordered phase; Random walks; RANDOM-WALKS; STATES; ENTROPY; MODELS;
D O I：
10.1007/s10773-023-05276-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We clarify the structure of tree-homogeneous quantum Markov chains (THQMC) as a multi-dimensional quantum extension of homogeneous Markov chains. We provide a construction of a class of quantum Markov chains on the Cayley tree based on open quantum random walks. Moreover, we prove the uniqueness of THQMC for the construction under consideration, which means the absence of phase transitions.
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页数：12
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