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arXiv · 2208.06624

Putting paradoxes to work: contextuality in measurement-based quantum computation

Robert Raussendorf
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Abstract

We describe a joint cohomological framework for measurement-based quantum computation (MBQC) and the corresponding contextuality proofs. The central object in this framework is an element in the second cohomology group of the chain complex describing a given MBQC. It contains the function computed, up to gauge equivalence, and at the same time is a contextuality witness. The present cohomological description only applies to temporally flat MBQCs, and we outline an approach for extending it to the temporally ordered case.

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Robert Raussendorf. 2022-08-13. Putting paradoxes to work: contextuality in measurement-based quantum computation. https://arxiv.org/abs/2208.06624

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