Quantum Theory in Finite Dimension Cannot Explain Every General Process with Finite Memory
Marco Fanizza,
Josep Lumbreras,
Andreas Winter
Abstract:Arguably, the largest class of stochastic processes generated by means of a finite memory consists of those that are sequences of observations produced by sequential measurements in a suitable generalized probabilistic theory (GPT). These are constructed from a finite-dimensional memory evolving under a set of possible linear maps, and with probabilities of outcomes determined by linear functions of the memory state. Examples of such models are given by classical hidden Markov processes, where the memory state… Show more
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