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Tensor-network-based machine learning of non-Markovian quantum processes

Tensor-network-based machine learning of non-Markovian quantum processes

We show how a tensor-network-based machine learning algorithm can learn the structures of generic, non-Markovian, quantum stochastic processes. First, a process is represented as a matrix product operator (MPO) and trained with a database of local input states at different times and the corresponding time-nonlocal output state. We then apply …