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Given a state represented by a MERA (Multiscale Entanglement Renormalization Ansatz), can we define a local Hamiltonian such that the MERA is the exact ground state of such a Hamiltonian? If this is true, can we put any bounds on the locality of the Hamiltonian (e.g. 2-locality, nearest neighbour, etc.).

I can't seem to find anything in the literature. However, I'm somewhat new to the area so don't know where to look. Any references to the literature would be useful.

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  • $\begingroup$ Please define acronyms at first use (in the title, and especially in the title) unless they are so common that there is very little chance they won't be understood. QM for quantum mechanics is probably ok. SUVAT for kinematic equations: no. Plenty of people have never heard of SUVAT. $\endgroup$
    – garyp
    Commented Jun 23, 2019 at 11:34

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