基于转移操作矩阵的量子隐马尔可夫模型
Quantum Hidden Markov Models based on Transition Operation Matrices
摘要：
本文推广了量子马尔可夫链的思想[S.古德量子马尔可夫链数学物理杂志，49（7），2008]，以便提出量子隐马尔可夫模型（QHMRM）。为此，我们使用转移操作矩阵（TOM）和向量状态的概念，这是经典随机矩阵和概率分布的扩展。我们的主要结果是Mealy QHMM制定和证明该模型的应用所需的算法：向前一般情况下和维特比的限制类QHMM。
英文摘要：
In this work, we extend the idea of Quantum Markov chains [S. Gudder. Quantum Markov chains. J. Math. Phys., 49(7), 2008] in order to propose Quantum Hidden Markov Models (QHMMs). For that, we use the notions of Transition Operation Matrices (TOM) and Vector States, which are an extension of classical stochastic matrices and probability distributions. Our main result is the Mealy QHMM formulation and proofs of algorithms needed for application of this model: Forward for general case and Vitterbi for a restricted class of QHMMs.
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