论文标题

基于测量的量子计算中情境性的辅助和代数结构

Cohomology and the Algebraic Structure of Contextuality in Measurement Based Quantum Computation

论文作者

Aasnæss, Sivert

论文摘要

好的,Roberts,Bartlett和Raussendorf最近在基于测量的量子计算中引入了一种新的共同学方法。 我们使用Abramsky和Brandenburger的捆绑理论框架对它们的障碍物和代数结构进行了抽象描述。 在这种一般性的水平上,我们将他们对Abramsky,Mansfield和Barbosa的CECH共同学障碍的方法进行了对比,并直接证明了Cech共同体至少具有强大的功能。

Okay, Roberts, Bartlett and Raussendorf recently introduced a new cohomological approach to contextuality in measurement based quantum computation. We give an abstract description of their obstruction and the algebraic structure it exploits, using the sheaf theoretic framework of Abramsky and Brandenburger. At this level of generality we contrast their approach to the Cech cohomology obstruction of Abramsky, Mansfield and Barbosa and give a direct proof that Cech cohomology is at least as powerful.

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