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arXiv · 0908.2181

Hybrid hypercomputing: towards a unification of quantum and classical computation

Dominic Horsman·William J. Munro
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Abstract

We investigate the computational power and unified resource use of hybrid quantum-classical computations, such as teleportation and measurement-based computing. We introduce a physically causal and local graphical calculus for quantum information theory, which enables high-level intuitive reasoning about quantum information processes. The graphical calculus defines a local information flow in a computation which satisfies conditions for physical causality. We show how quantum and classical processing units can now be formally integrated, and give an analysis of the joint resources used in a typical measurement-based computation. Finally, we discuss how this picture may be used to give a high-level unified model for hybrid quantum computing.

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Dominic Horsman, William J. Munro. 2009-08-15. Hybrid hypercomputing: towards a unification of quantum and classical computation. https://arxiv.org/abs/0908.2181

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