Fault-Tolerant Quantum Computation with Higher-Dimensional Systems
Quantum Physics
2010-05-27 v1
Abstract
Instead of a quantum computer where the fundamental units are 2-dimensional qubits, we can consider a quantum computer made up of d-dimensional systems. There is a straightforward generalization of the class of stabilizer codes to d-dimensional systems, and I will discuss the theory of fault-tolerant computation using such codes. I prove that universal fault-tolerant computation is possible with any higher-dimensional stabilizer code for prime d.
Cite
@article{arxiv.quant-ph/9802007,
title = {Fault-Tolerant Quantum Computation with Higher-Dimensional Systems},
author = {Daniel Gottesman},
journal= {arXiv preprint arXiv:quant-ph/9802007},
year = {2010}
}
Comments
12 pages, LaTeX w/ llncs style, to be presented at the 1st NASA International Conference on Quantum Computing and Quantum Communications