The distinct nonzero spectrum of any generating model's transfer operator bounds quantum generative memory by |Λ|^1/4 and classical memory by |Λ|^1/2, implying a quadratic quantum advantage.
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Memory-minimal quantum generation of stochastic processes: spectral invariants of quantum hidden Markov models
The distinct nonzero spectrum of any generating model's transfer operator bounds quantum generative memory by |Λ|^1/4 and classical memory by |Λ|^1/2, implying a quadratic quantum advantage.