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arXiv 1306.6289quant-ph
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排他性原则禁止关联集大于量子集

The exclusivity principle forbids sets of correlations larger than the quantum set

Barbara Amaral, Marcelo Terra Cunha, Adán Cabello

摘要:

我们表明,排他性(E)原则挑选出一组量子相关性相关联的任何排他性图假设的量子相关性的互补图。此外,我们证明了,对于自补图,E原则,本身(即,没有进一步的假设),排除了严格大于量子集的任何相关集。最后,我们证明了,对于顶点传递图,E原则挑出的量子关联的最大值假设只有量子最大的互补图。这为在实验中测试高于量子关联的不可能性打开了大门。

英文摘要:

We show that the exclusivity (E) principle singles out the set of quantum correlations associated to any exclusivity graph assuming the set of quantum correlations for the complementary graph. Moreover, we prove that, for self-complementary graphs, the E principle, by itself (i.e., without further assumptions), excludes any set of correlations strictly larger than the quantum set. Finally, we prove that, for vertex-transitive graphs, the E principle singles out the maximum value for the quantum correlations assuming only the quantum maximum for the complementary graph. This opens the door for testing the impossibility of higher-than-quantum correlations in experiments.

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