Matrix Product States for Quantum Stochastic Modelling (Phys. Rev. Lett. 121, 260602)

There are many notions of complexity and structure. In computational mechanics, for example, the complexity of a stochastic process can be characterized by how much information one must store about its past to general future statistical predictions faithfully. Meanwhile, in quantum any body systems, a prominent measure of complexity is in the amount of information one must used to describe the system through matrix product states. In this paper, we demonstrated that there are some surprising connections between these two seemingly disparate ideas.