Physics – Quantum Physics
Scientific paper
2003-02-10
Proceedings of GROUP 24: Physical and Mathematical Aspects of Symmetries, eds. J-P Gazeau et al, IOP Press (2003)
Physics
Quantum Physics
4 pages, presented at XXIV International Colloquium on Group Theoretical Methods in Physics (Paris, July 15-20, 2002)
Scientific paper
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.
Bartlett Stephen D.
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