TY - JOUR
T1 - Entropy of quantum Markov states on Cayley trees
AU - Mukhamedov, Farrukh
AU - Souissi, Abdessatar
N1 - Funding Information:
The authors gratefully acknowledge Qassim University, represented by the Deanship of Scientific Research, on the financial support for this research under the Grant No. 10173-cba-2020-1-3-I during the academic year 1442 AH/2020 AD.
Publisher Copyright:
© 2022 IOP Publishing Ltd and SISSA Medialab srl.
PY - 2022/9/1
Y1 - 2022/9/1
N2 - In this paper, we continue the investigation of quantum Markov states (QMSs) and define their mean entropies. Such entropies are explicitly computed under certain conditions. The present work takes a huge leap forward at tackling one of the most important open problems in quantum probability, which concerns the calculations of mean entropies of quantum Markov fields. Moreover, it opens up a new perspective for the generalization of many interesting results related to the one-dimensional QMSs and quantum Markov chains to multi-dimensional cases.
AB - In this paper, we continue the investigation of quantum Markov states (QMSs) and define their mean entropies. Such entropies are explicitly computed under certain conditions. The present work takes a huge leap forward at tackling one of the most important open problems in quantum probability, which concerns the calculations of mean entropies of quantum Markov fields. Moreover, it opens up a new perspective for the generalization of many interesting results related to the one-dimensional QMSs and quantum Markov chains to multi-dimensional cases.
KW - quantum phase transitions
KW - solvable lattice models
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U2 - 10.1088/1742-5468/ac8740
DO - 10.1088/1742-5468/ac8740
M3 - Article
AN - SCOPUS:85139308944
VL - 2022
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
SN - 1742-5468
IS - 9
M1 - 093101
ER -