Measurement-based quantum computation in a 2D phase of matter
Abstract
Recently it has been shown that the non-local correlations needed for measurement based quantum computation (MBQC) can be revealed in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model involving nearest neighbor spin-3/2 interactions on a honeycomb lattice. This state is not singular but resides in the disordered phase of ground states of a large family of Hamiltonians characterized by short-range-correlated valence bond solid states. By applying local filtering and adaptive single particle measurements we show that most states in the disordered phase can be reduced to a graph of correlated qubits that is a scalable resource for MBQC. At the transition between the disordered and Neel ordered phases we find a transition from universal to non-universal states as witnessed by the scaling of percolation in the reduced graph state.
Cite
@article{arxiv.1108.4741,
title = {Measurement-based quantum computation in a 2D phase of matter},
author = {Andrew S. Darmawan and Gavin K. Brennen and Stephen D. Bartlett},
journal= {arXiv preprint arXiv:1108.4741},
year = {2012}
}
Comments
8 pages, 6 figures, comments welcome. v2: published version