Randomness extraction involves the processing of purely classical information and is therefore usually studied in the framework of classical probability theory. However, such a classical treatment is generally too restrictive for applications, where side information about the values taken by classical random variables may be represented by the state of a quantum system. This is particularly relevant in the context of cryptography, where an adversary may make use of quantum devices. Here, we build upon prior work by Ta-Shma and by De and Vidick to show that the well known construction paradigm for extractors proposed by Trevisan is sound in the presence of quantum side information.
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