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Titlebook: Infinite Dimensional Analysis, Quantum Probability and Applications; QP41 Conference, Al Luigi Accardi,Farrukh Mukhamedov,Ahmed Al Rawashd

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978-3-031-06172-1The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Infinite Dimensional Analysis, Quantum Probability and Applications978-3-031-06170-7Series ISSN 2194-1009 Series E-ISSN 2194-1017
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Block Markov Chains on Treesarkov chains (MCs) and Markov random fields (MRFs). Mainly, we show that the probability measures, which are BMCs for every root, are indeed Markov chains (MCs). Conversely, we characterize a class of MCs which are BMCs. Moreover, we establish that the class of BMCs coincides with MCs only in the one-dimensional lattice.
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A Pedagogical Note on the Computation of Relative Entropy of Two ,-Mode Gaussian Stateslassical and a quantum part: The classical part consists of a weighted linear combination of relative Shannon entropies of . pairs of Bernouli trials arising from the thermal state composition of the gaussian states . and .. The quantum part has a sum of . terms, that are functions of the annihilati
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Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligenceificial intelligence. We describe the problems induced by using classical probability (CP) for mathematical formalization of decision making—paradoxes and probability fallacies. These problems are related to the violation of the formula of total probability (FTP) derived in CP: either violation of a
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Note on Complexity of Communication Processesal and the mutual entropy type functional with respect to the initial state and the quantum communication channel in general quantum systems. The mutual entropy type measures are formulated by the compound states between the initial and final systems. In this paper, we modify the compound state and
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