My understanding of the Multiscale Entanglement Renormalisation Ansatz (MERA) is that it is designed to represent highly entangled, but low complexity states.
Is MERA capable of representing high complexity states? For example, could it represent the history ground state of a Feynman-Kitaev Hamiltonian which encodes some computation? Are we able to describe these states (in theory) using a MERA, but in practice finding the isometries and unitaries necessary is computationally intractable? What prevents us from being able to describe these states?