Quantum hidden Markov models are shown to be identifiable via a finite set of word probabilities, and the minimal quantum memory dimension is proved to be at least the square root of the minimal generalized hidden Markov model dimension.
That is, sup- pose our QHMM has superoperators {Ax}x described by a set of Kraus operators {Kxy}x,y
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Identifiability and minimality bounds of quantum and post-quantum models of classical stochastic processes
Quantum hidden Markov models are shown to be identifiable via a finite set of word probabilities, and the minimal quantum memory dimension is proved to be at least the square root of the minimal generalized hidden Markov model dimension.