Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation
Quantum Physics
2013-05-29 v1
Abstract
Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be remarkably valuable, if only it were thermodynamically stable and experimentally accessible, by virtue of being the unique ground state of a physically reasonable Hamiltonian made of two-body, nearest neighbor interactions. We introduce such a state, composed of six-state particles on a hexagonal lattice, and describe a general method for analyzing its properties based on its projected entangled pair state representation.
Cite
@article{arxiv.0812.4067,
title = {Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation},
author = {Xie Chen and Bei Zeng and Zhengcheng Gu and Beni Yoshida and Isaac L. Chuang},
journal= {arXiv preprint arXiv:0812.4067},
year = {2013}
}
Comments
5 pages, 4 figures