01075nas a2200169   4500000000100000008004100001100002000042700001700062700002300079700001900102245007200121856004800193300000800241490000700249520063500256022001400891       2017                            d1 aMichał Cholewa1 aPiotr Gawron1 aPrzemysław Głomb1 aDariusz Kurzyk00aQuantum hidden Markov models based on transition operation matrices  uhttp://dx.doi.org/10.1007/s11128-017-1544-8  a1010 v163 a<p>In this work, we extend the idea of quantum Markov chains (Gudder in J Math Phys 49(7):072105 [3]) in order to propose quantum hidden Markov models (QHMMs). For that, we use the notions of transition operation matrices 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. We show the relations of the proposed model to other quantum HMM propositions and present an example of application.</p>
  a1573-1332