We study the computation power of lattices composed of two dimensional systems (qubits) on which translationally invariant global two-qubit gates can be performed. We show that if a specific set of 6 global two qubit gates can be performed, and if the initial state of the lattice can be suitably chosen, then a quantum computer can be efficiently simulated
@article{arxiv.quant-ph/0502142,
title = {Quantum Computing on Lattices using Global Two-Qubit Gate},
author = {G. Ivanyos and S. Massar and A. B. Nagy},
journal= {arXiv preprint arXiv:quant-ph/0502142},
year = {2014}
}