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Quantum Machine Learning Quantum Foundations

Topos logic in measurement-based quantum computation

arXiv
Authors: Leon Loveridge, Raouf Dridi, Robert Raussendorf

Year

2014

Paper ID

48246

Status

Preprint

Abstract Read

~2 min

Abstract Words

54

Citations

N/A

Abstract

We report first steps towards elucidating the relationship between contextuality, measurement-based quantum computation (MBQC) and the non-classical logic of a topos associated with the computation. We show that, in a class of MBQC, classical universality requires non-classical logic, which is 'consumed' during the course of the computation, thereby pinpointing another potential quantum computational resource.

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  • We report first steps towards elucidating the relationship between contextuality, measurement-based quantum computation (MBQC) and the non-classical logic of a topos associated...

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