Mukhamedov, F., Accardi, L., Souissi, A. (2016). Construction of a new class of quantum Markov fields. Advances in Operator Theory, 1(2), 206-218. doi: 10.22034/aot.1610.1031
Farrukh Mukhamedov; Luigi Accardi; Abdessatar Souissi. "Construction of a new class of quantum Markov fields". Advances in Operator Theory, 1, 2, 2016, 206-218. doi: 10.22034/aot.1610.1031
Mukhamedov, F., Accardi, L., Souissi, A. (2016). 'Construction of a new class of quantum Markov fields', Advances in Operator Theory, 1(2), pp. 206-218. doi: 10.22034/aot.1610.1031
Mukhamedov, F., Accardi, L., Souissi, A. Construction of a new class of quantum Markov fields. Advances in Operator Theory, 2016; 1(2): 206-218. doi: 10.22034/aot.1610.1031
Construction of a new class of quantum Markov fields
In the present paper, we propose a new construction of quantum Markov fields on arbitrary connected, infinite, locally finite graphs. The construction is based on a specific tessellation on the considered graph, it allows us to express the Markov property for the local structure of the graph. Our main result is the existence and uniqueness of quantum Markov field.