Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource
Quantum Physics
2012-08-21 v1 Other Condensed Matter
Abstract
Universal quantum computation can be achieved by simply performing single-qubit measurements on a highly entangled resource state, such as cluster states. The family of Affleck-Kennedy-Lieb-Tasaki states has recently been intensively explored and shown to provide restricted computation. Here, we show that the two-dimensional Affleck-Kennedy-Lieb-Tasaki state on a honeycomb lattice is a universal resource for measurement-based quantum computation.
Keywords
Cite
@article{arxiv.1102.5064,
title = {Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource},
author = {Tzu-Chieh Wei and Ian Affleck and Robert Raussendorf},
journal= {arXiv preprint arXiv:1102.5064},
year = {2012}
}
Comments
4+2 pages, 4 figures, PRL short version of arXiv:1009.2840, see also alternative approach by A. Miyake, arXiv:1009.3491