Quantum Networks for Elementary Arithmetic Operations
Quantum Physics
2009-10-28 v1
Abstract
Quantum computers require quantum arithmetic. We provide an explicit construction of quantum networks effecting basic arithmetic operations: from addition to modular exponentiation. Quantum modular exponentiation seems to be the most difficult (time and space consuming) part of Shor's quantum factorising algorithm. We show that the auxiliary memory required to perform this operation in a reversible way grows linearly with the size of the number to be factorised.
Cite
@article{arxiv.quant-ph/9511018,
title = {Quantum Networks for Elementary Arithmetic Operations},
author = {V. Vedral and A. Barenco and A. Ekert},
journal= {arXiv preprint arXiv:quant-ph/9511018},
year = {2009}
}
Comments
7 pages, LaTeX, + 6 PS figures in a tar compressed file. See also http://eve.physics.ox.ac.uk/QChome.html