Semigroup techniques for the efficient classical simulation of optical quantum information
摘要
A framework to describe a broad class of physical operations (including unitary transformations, dissipation, noise, and measurement) in a quantum optics experiment is given. This framework provides a powerful tool for assessing the capabilities and limitations of performing quantum information processing tasks using current experimental techniques. The Gottesman-Knill theorem is generalized to the infinite-dimensional representations of the group stabilizer formalism and further generalized to include non-invertable semigroup transformations, providing a theorem for the efficient classical simulation of operations within this framework. As a result, we place powerful constraints on obtaining computational speedups using current techniques in quantum optics.
引用
@article{arxiv.quant-ph/0302063,
title = {Semigroup techniques for the efficient classical simulation of optical quantum information},
author = {Stephen D. Bartlett},
journal= {arXiv preprint arXiv:quant-ph/0302063},
year = {2007}
}
备注
4 pages, presented at XXIV International Colloquium on Group Theoretical Methods in Physics (Paris, July 15-20, 2002)