Symmetry-protected phases for measurement-based quantum computation
Quantum Physics
2012-06-20 v3 Strongly Correlated Electrons
Abstract
Ground states of spin lattices can serve as a resource for measurement-based quantum computation. Ideally, the ability to perform quantum gates via measurements on such states would be insensitive to small variations in the Hamiltonian. Here, we describe a class of symmetry-protected topological orders in one-dimensional systems, any one of which ensures the perfect operation of the identity gate. As a result, measurement-based quantum gates can be a robust property of an entire phase in a quantum spin lattice, when protected by an appropriate symmetry.
Cite
@article{arxiv.1201.4877,
title = {Symmetry-protected phases for measurement-based quantum computation},
author = {Dominic V. Else and Ilai Schwarz and Stephen D. Bartlett and Andrew C. Doherty},
journal= {arXiv preprint arXiv:1201.4877},
year = {2012}
}
Comments
5 pages, 1 figure, comments welcome; v2 fixed minor typographic errors; v3 published version