Local controllability of quantum networks
Quantum Physics
2009-06-28 v2
Abstract
We give a sufficient criterion that guarantees that a many-body quantum system can be controlled by properly manipulating the (local) Hamiltonian of one of its subsystems. The method can be applied to a wide range of systems: it does not depend on the details of the couplings but only on their associated topology. As a special case, we prove that Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains can be controlled by operating on one of the spins at their ends. In principle, arbitrary quantum algorithms can be performed on such chains by acting on a single qubit.
Cite
@article{arxiv.0805.3975,
title = {Local controllability of quantum networks},
author = {Daniel Burgarth and Sougato Bose and Christoph Bruder and Vittorio Giovannetti},
journal= {arXiv preprint arXiv:0805.3975},
year = {2009}
}
Comments
4 pages, 3 figures