Putting paradoxes to work: contextuality in measurement-based quantum computation
Quantum Physics
2022-08-16 v1
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.
Cite
@article{arxiv.2208.06624,
title = {Putting paradoxes to work: contextuality in measurement-based quantum computation},
author = {Robert Raussendorf},
journal= {arXiv preprint arXiv:2208.06624},
year = {2022}
}
Comments
Contribution to collected work "Samson Abramsky on Logic and Structure in Computer Science and Beyond" (to be published by Springer)