Valence bond solid formalism for d-level one-way quantum computation
Quantum Physics
2009-11-11 v2
Abstract
The d-level or qudit one-way quantum computer (d1WQC) is described using the valence bond solid formalism and the generalised Pauli group. This formalism provides a transparent means of deriving measurement patterns for the implementation of quantum gates in the computational model. We introduce a new universal set of qudit gates and use it to give a constructive proof of the universality of d1WQC. We characterise the set of gates that can be performed in one parallel time step in this model.
Cite
@article{arxiv.quant-ph/0512155,
title = {Valence bond solid formalism for d-level one-way quantum computation},
author = {Sean Clark},
journal= {arXiv preprint arXiv:quant-ph/0512155},
year = {2009}
}
Comments
26 pages, 9 figures. Published in Journal of Physics A: Mathematical and General