Expressiveness and Learning of Hidden Quantum Markov Models
@article{Adhikary2020ExpressivenessAL, title={Expressiveness and Learning of Hidden Quantum Markov Models}, author={Sandesh Adhikary and Siddarth Srinivasan and Geoffrey J. Gordon and Byron Boots}, journal={ArXiv}, year={2020}, volume={abs/1912.02098} }
Extending classical probabilistic reasoning using the quantum mechanical view of probability has been of recent interest, particularly in the development of hidden quantum Markov models (HQMMs) to model stochastic processes. However, there has been little progress in characterizing the expressiveness of such models and learning them from data. We tackle these problems by showing that HQMMs are a special subclass of the general class of observable operator models (OOMs) that do not suffer from…
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