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A class of quantum many-body states that can be efficiently simulated

arXiv:quant-ph/0610099 · doi:10.1103/PhysRevLett.101.110501

Abstract

We introduce the multi-scale entanglement renormalization ansatz (MERA), an efficient representation of certain quantum many-body states on a D-dimensional lattice. Equivalent to a quantum circuit with logarithmic depth and distinctive causal structure, the MERA allows for an exact evaluation of local expectation values. It is also the structure underlying entanglement renormalization, a coarse-graining scheme for quantum systems on a lattice that is focused on preserving entanglement.

4 pages, 5 figures