We propose a method to experimentally demonstrate contextuality with a family of tests for qudits. The experiment we propose uses a qudit encoded in the path of a single photon and its temporal degrees of freedom. We consider the impact of noise on the effectiveness of these tests, taking the approach of ontologically faithful noncontextuality. In this approach, imperfections in the experimental setup must be taken into account in any faithful ontological (classical) model, which limits how much the statistics can deviate within different contexts. In this way we bound the precision of the experimental setup under which ontologically faithful noncontextual models can be refuted. We further consider the noise tolerance through different types of decoherence models on different types of encodings of qudits. We quantify the effect of the decoherence on the required precision for the experimental setup in order to demonstrate contextuality in this broader sense.

中文翻译：

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证明 qudits 上下文的实验方法

我们提出了一种方法，通过一系列针对 qudits 的测试来实验证明上下文。我们提议的实验使用在单个光子及其时间自由度的路径中编码的 qudit。我们考虑噪声对这些测试有效性的影响，采用本体论忠实的非上下文性方法。在这种方法中，任何忠实的本体（经典）模型都必须考虑实验设置中的缺陷，这限制了统计数据在不同上下文中的偏差程度。通过这种方式，我们限制了实验设置的精度，在该精度下，可以反驳本体论上忠实的非上下文模型。我们通过不同类型的 qudits 编码的不同类型的退相干模型进一步考虑了噪声容限。