Closing Bell: Boxing black box simulations in the resource theory of contextuality
arxiv(2021)
摘要
This chapter contains an exposition of the sheaf-theoretic framework for
contextuality emphasising resource-theoretic aspects, as well as some original
results on this topic. In particular, we consider functions that transform
empirical models on a scenario S to empirical models on another scenario T, and
characterise those that are induced by classical procedures between S and T
corresponding to 'free' operations in the (non-adaptive) resource theory of
contextuality. We construct a new 'hom' scenario built from S and T, whose
empirical models induce such functions. Our characterisation then boils down to
being induced by a non-contextual model. We also show that this construction on
scenarios provides a closed structure on the category of measurement scenarios.
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关键词
resource theory,black boxing simulations
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