Theory Seminar: Mapping Stochastic Cellular Automata to isometric Tensor Network States

Julian Bösl
TUM
Theory Seminar, at the Lecture Hall
Thursday, April 29, 11:30 CET

In this talk, I will present a subset of isometric tensor network states which are obtained via a mapping from stochastic cellular automata. This mapping allows for efficient classical evaluation of Pauli strings of arbitrary length, providing a class of benchmarking states for quantum processors. I will show how this can be used to identify classes of topologically ordered states with non-zero correlation length which are continuously connected to abelian string-net models, as well as transitions between these phases. I will also discuss how other non-equilbrium phenomena re-appear on the quantum side, for instance in the case of directed percolation: Here, a non-equilibrium phase transition becomes a transition between classes of states with different entanglement patterns, one being trivial and the other being reminiscent of the W state.